Camera lens system
09874721 ยท 2018-01-23
Assignee
Inventors
Cpc classification
G02F1/157
PHYSICS
International classification
G02B13/00
PHYSICS
G02B27/00
PHYSICS
Abstract
An optical imaging lens assembly that may have six lens components. The first, third, fourth, and fifth lens components may have positive refractive power. The second and sixth lens components may have negative refractive power. The lens assembly may satisfy the relation |f/f.sub.5|+|f/f.sub.6|<1.4, wherein f is a focal length of the optical imaging lens assembly, f.sub.5 is a focal length of the fifth lens component, f.sub.6 is a focal length of the sixth lens component. The lens assembly may also satisfy the further relation 0.8<|f/f.sub.5|+|f/f.sub.6|. The first lens component may include a wafer lens having a lens element molded on one or both surfaces of a planar substrate or two wafer lenses having a lens element molded on one surface of each of two planar substrates. The wafer lens may include an electrically controlled electrochromic surface having variable light transmittance.
Claims
1. An optical imaging lens assembly comprising, in order sequentially from an object side to an image side: a first lens component with positive refractive power; a second lens component with negative refractive power; a third lens component with positive refractive power; a fourth lens component with positive refractive power; a fifth lens component with positive refractive power and a concave image side surface; and a sixth lens component with negative refractive power; wherein f is a focal length of the optical imaging lens assembly, f.sub.5 is a focal length of the fifth lens component, f.sub.6 is a focal length of the sixth lens component, and the following relations are satisfied:
0.2<|f/f.sub.5|<0.4
|f/f.sub.5|+|f/f.sub.6|<1.4.
2. The optical imaging lens assembly of claim 1 wherein the following further relation is satisfied:
0.5<|f/f.sub.5|+|f/f.sub.6|.
3. The optical imaging lens assembly of claim 1 wherein the following further relation is satisfied:
0.9<|f/f.sub.5|+|f/f.sub.6|<1.3.
4. The optical imaging lens assembly of claim 1 wherein the following further relation is satisfied:
1.2|f/f.sub.5|+|f/f.sub.6|1.3.
5. The optical imaging lens assembly of claim 1 wherein the following further relation is satisfied:
0.9|f/f.sub.5|+|f/f.sub.6|1.0.
6. The optical imaging lens assembly of claim 1 wherein the first lens component includes a wafer lens having a lens element molded on a surface of a planar substrate.
7. The optical imaging lens assembly of claim 6 wherein the first lens component further includes an electrochromic surface on one surface of the planar substrate.
8. The optical imaging lens assembly of claim 1 wherein the first lens component includes two wafer lenses, each of the two wafer lenses having a lens element molded on only one surface of a planar substrate.
9. The optical imaging lens assembly of claim 8 wherein the first lens component further includes an electrochromic surface on one surface of the planar substrate of one of the two wafer lenses.
10. The optical imaging lens assembly of claim 1 wherein at least one of an object-side refracting surface or an image-side refracting surface of each of the six lens components is aspheric.
11. The optical imaging lens assembly of claim 1 wherein an object-side refracting surface and an image-side refracting surface of each of the six lens components are both aspheric.
12. An optical imaging lens assembly comprising, in order sequentially from an object side to an image side: a first lens component with positive refractive power; a second lens component with positive refractive power; a third lens component with negative refractive power; a fourth lens component with positive refractive power; a fifth lens component with positive refractive power and a concave image side surface; and a sixth lens component with negative refractive power; wherein f is a focal length of the optical imaging lens assembly, f.sub.5 is a focal length of the fifth lens component, f.sub.6 is a focal length of the sixth lens component, and the following relation is satisfied:
0.6<f/f.sub.5+f/f.sub.6<0.4.
13. The optical imaging lens assembly of claim 12 wherein the following further relation is satisfied:
0.5<f/f.sub.5+f/f.sub.6<0.4.
14. The optical imaging lens assembly of claim 12 wherein the following further relation is satisfied:
0.6<f/f.sub.5+f/f.sub.6<0.5.
15. The optical imaging lens assembly of claim 12 wherein the first lens component includes a wafer lens having a lens element molded on a surface of a planar substrate.
16. The optical imaging lens assembly of claim 15 wherein the first lens component further includes an electrochromic surface on one surface of the planar substrate.
17. The optical imaging lens assembly of claim 12 wherein the first lens component includes two wafer lenses, each of the two wafer lenses having a lens element molded on only one surface of a planar substrate.
18. The optical imaging lens assembly of claim 17 wherein the first lens component further includes an electrochromic surface on one surface of the planar substrate of one of the two wafer lenses.
19. The optical imaging lens assembly of claim 12 wherein at least one of an object-side refracting surface or an image-side refracting surface of each of the six lens components is aspheric.
20. The optical imaging lens assembly of claim 12 wherein an object-side refracting surface and an image-side refracting surface of each of the six lens components are both aspheric.
21. A portable wireless communications device comprising: an outer housing; and a digital camera integrated inside the outer housing, the digital camera having an optical imaging lens assembly comprising, in order sequentially from an object side to an image side: a first lens component with positive refractive power; a second lens component with negative refractive power; a third lens component with positive refractive power; a fourth lens component with positive refractive power; a fifth lens component with positive refractive power and a concave image side surface; and a sixth lens component with negative refractive power; wherein f is a focal length of the optical imaging lens assembly, f.sub.5 is a focal length of the fifth lens component, f.sub.6 is a focal length of the sixth lens component, and the following relations are satisfied:
0.2<|f/f.sub.5|<0.4
|f/f.sub.5|+|f/f.sub.6|<1.4.
22. The portable wireless communications device of claim 21 wherein the following further relation is satisfied:
0.5<|f/f.sub.5|+|f/f.sub.6|.
23. The portable wireless communications device of claim 21 wherein the optical imaging lens assembly has a total track length of less than 6 millimeters.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
(1) The invention may best be understood by referring to the following description and accompanying drawings that are used to illustrate embodiments of the invention by way of example and not limitation. In the drawings, in which like reference numerals indicate similar elements:
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DETAILED DESCRIPTION
(52) In the following description, numerous specific details are set forth. However, it is understood that embodiments of the invention may be practiced without these specific details. In other instances, well-known circuits, structures and techniques have not been shown in detail in order not to obscure the understanding of this description.
(53) In the following description, reference is made to the accompanying drawings, which illustrate several embodiments of the present invention. It is understood that other embodiments may be utilized, and mechanical compositional, structural, electrical, and operational changes may be made without departing from the spirit and scope of the present disclosure. The following detailed description is not to be taken in a limiting sense, and the scope of the embodiments of the present invention is defined only by the claims of the issued patent.
(54) The terminology used herein is for the purpose of describing particular embodiments only and is not intended to be limiting of the invention. Spatially relative terms, such as beneath, below, lower, above, upper, and the like may be used herein for ease of description to describe one element's or feature's relationship to another element(s) or feature(s) as illustrated in the figures. It will be understood that the spatially relative terms are intended to encompass different orientations of the device in use or operation in addition to the orientation depicted in the figures. For example, if the device in the figures is turned over, elements described as below or beneath other elements or features would then be oriented above the other elements or features. Thus, the exemplary term below can encompass both an orientation of above and below. The device may be otherwise oriented (e.g., rotated 90 degrees or at other orientations) and the spatially relative descriptors used herein interpreted accordingly.
(55) As used herein, the singular forms a, an, and the are intended to include the plural forms as well, unless the context indicates otherwise. It will be further understood that the terms comprises and/or comprising specify the presence of stated features, steps, operations, elements, and/or components, but do not preclude the presence or addition of one or more other features, steps, operations, elements, components, and/or groups thereof.
(56) The term element as applied to a lens designates any single transparent mass of refractive material having two opposed refracting surfaces, which surfaces are disposed transversely of the optical axis of the lens and spaced therealong.
(57) The term component as applied to a lens designates either (1) a single transparent mass of refractive material having two opposed refracting surfaces, i.e. an element, or (2) a grouped plurality of such masses arranged in series along the optical axis of the lens with their adjacent refracting surfaces either in full overall contact or in spaced parallel relation with the spacing being of such small magnitude that it does not enter into the lens computations.
(58) The term convex as applied to a lens surface indicates that the lens surface is convex where the surface intersects the optical axis. The term concave as applied to a lens surface indicates that the lens surface is concave where the surface intersects the optical axis.
(59) Embodiments of small form factor camera including a photosensor and a compact lens system with a large field of view (FOV) and a large aperture (low F-number) are described. Various embodiments of a compact lens system including six lens components with refractive power, including lens systems having wafer lens components, are described. These embodiments of compact lens systems may be used in the camera and provide a larger image with a lower F-number (larger aperture) than has been realized in conventional compact cameras. The camera may be implemented in a small package size while still capturing sharp, high resolution images, making embodiments of the camera suitable for use in small and/or mobile multipurpose devices such as cell phones, smartphones, pad or tablet computing devices, laptop, netbook, notebook, subnotebook, ultrabook computers, surveillance devices, and so on. However, aspects of the camera (e.g., the lens system and photosensor) may be scaled up or down to provide cameras with larger or smaller package sizes. In addition, embodiments of the camera system may be implemented as stand-alone digital cameras. In addition to still (single frame capture) camera applications, embodiments of the camera system may be adapted for use in video camera applications.
(60) Embodiments of the compact lens systems are described for potential application to cameras having a inch (6.15 mm diagonal) sensor. Example embodiments of lens systems may have about a 4.1 mm EFL (effective focal length), F/1.8 aperture size, and 77.6-degree diagonal field of view (DFOV) (6.6-mm image circle diameter). Several example embodiments of compact low F-number lens systems are described, including embodiments with a wafer lens component that includes an electrochromic aperture mechanism and five additional refracting lens components and example embodiments with six refracting lens components.
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(62) The refractive lens components in the various embodiments may be composed of plastic materials. In at least some embodiments, the refractive lens elements may be composed of injection molded plastic material. However, other transparent optical materials may be used. Also note that, in a given embodiment, different ones of the lens elements may be composed of materials with different optical characteristics, for example different Abbe numbers and/or different refractive indices. The wafer lens components in the embodiments may be composed of a single or multiple layer laminate of polymeric or plastic materials on a planar substrate, which may be a planar glass substrate.
(63) The camera may also include a frontal aperture stop (AS) located in front of (i.e., on the object side of) a first lens component. While
(64) The camera may also, but not necessarily, include an infrared (IR) filter located between a last lens component of the lens system and the photosensor. The IR filter may, for example, be composed of a glass material. However, other materials may be used. Note that the IR filter does not affect the effective focal length of the lens system. Further note that the camera may also include other component than those illustrated and described herein.
(65) In the camera, the lens system forms an image at an image plane (IP) at or near the surface of the photosensor. The image size for a distant object is directly proportional to the effective focal length (f) of a lens system. The total track length (TTL) of the lens system is the distance on the optical axis (AX) between the front vertex at the object side surface of the first (object side) lens component and the image plane. For lens system having a large FOV and a low F-number, the TTL is normally greater than the effective focal length.
(66) In at least some embodiments, the lens system may be configured such that the effective focal length f of the lens system is at or about 4.1 millimeters (mm), the F-number (focal ratio, or F-number) is at or about 1.8, the field of view (FOV) is at or about 77.6 degrees (although narrower or wider FOVs may be achieved), and the total track (TTL) is within the range of about 4.5 mm to about 7 mm. More generally, the lens system may be configured to satisfy the relation TTL/f>1.0.
(67) In some example embodiments described herein, the lens system may be configured such that the effective focal length f of the lens system is 4.1 mm at reference wavelength 555 nm and the F-number is 1.8. The lens system may, for example, be configured with focal length f of 4.1 mm and F-number of 1.8 to satisfy specified optical, imaging, and/or packaging constraints for particular camera system applications. Note that the F-number, also referred to as the focal ratio or F-number is defined by f/D, where D is the diameter of the entrance pupil, i.e., the effective aperture. As an example, at f=4.1 mm, an F-number of 1.8 is achieved with an effective aperture diameter of 2.28 mm. The example embodiment may also be configured with a field of view (FOV) at or about 77.6 degrees, a half FOV at or about 38.8 degrees. Total track length (TTL) of the example embodiments vary from about 5.8 mm to about 6.0 mm. The ratio of TTL/f varies within the range of about 1.4 mm to about 1.5 mm for the example embodiments.
(68) However, note that the focal length f, F-number, and/or other parameters may be scaled or adjusted to meet various specifications of optical, imaging, and/or packaging constraints for other camera system applications. Constraints for a camera system that may be specified as requirements for particular camera system applications and/or that may be varied for different camera system applications include but are not limited to the focal length f, effective aperture, F-number, field of view (FOV), imaging performance requirements, and packaging volume or size constraints.
(69) In some embodiments, the lens system may be equipped with an adjustable iris (entrance) pupil or aperture stop. Using an adjustable aperture stop, the F-number (focal ratio) may be dynamically varied within a range. For example, if the lens is well corrected at f/1.8, at a given focal length f and FOV, then the focal ratio may be varied within the range of 1.8 to 6 (or higher) by adjusting the aperture stop, assuming that the aperture stop can be adjusted to the desired F-number setting. In some embodiments, the lens system may be used at faster focal ratios (F-number<1.8) by adjusting the aperture stop with degraded image quality performance at the same FOV (e.g. 77.6 degrees), or with reasonably good performance at a smaller FOV.
(70) In some embodiments, the lens system may also be equipped with a focusing mechanism for focusing an object scene at infinity (object scene distance from camera>20 meters) to near object distance (<50 mm). For example, in some embodiments, the lens system as described herein may be equipped with adjustable focus mechanism wherein the lens system and/or photosensor at the image plane may be moved for focusing an object scene at distances ranging from greater than 20 meters to less than 50 mm.
(71) While ranges of values may be given herein as examples of adjustable cameras and lens systems in which one or more optical parameters may be dynamically varied (e.g., using adjustable aperture stop and/or adjustable focus), embodiments of camera systems that include fixed (non-adjustable) lens systems in which values for optical and other parameters are within these ranges may be implemented.
(72) Referring first to embodiments as illustrated in
(73) In addition, at least one surface, the object side or the image side, of each of the six lens components is aspheric. In some embodiments both the object side surface and the image side surface of one or more of the six lens components is aspheric.
(74) The lens systems 110, 210, 710 form an image on or near the surface of an image sensor 118, 218, 718. A cover material 116, 216, 716, such as a cover glass or an infrared cut filter, may be placed between the lens systems 110, 210, 710 and the image sensor 118, 218, 718. A frontal aperture stop (AS) 114, 214, 714 may be located on the object side of the first lens component 101, 201, 701.
(75) Embodiments of a camera lens system as described herein and illustrated in
0.8<|f.sub.1/f|<1.5;
1.0<|f.sub.2/f|<2.0;
1.0<|f.sub.3/f|<30.0;
1.0<|f.sub.4/f|<7.0;
1.0<|f.sub.5/f|<4.0;
0.8<|f6/f|<2.0; where f is the effective focal length of the lens system.
(76) The lens systems 110, 210, 710 are configured such that the ratio (TTL/f) satisfies the relation:
1.0<TTL/f<1.5.
(77) In at least some embodiments of lens systems 110, 210, and 710, the lens components with positive dioptric powers may be composed of a material (e.g., a plastic material) having an Abbe number of V.sub.1. The second, and sixth lens components with negative dioptric powers may be composed of a material (e.g., plastic material) having an Abbe number of V.sub.2. The Abbe numbers of the lens materials for the lens components may satisfy the condition:
30<V.sub.1V.sub.2<35.
(78) Referring now to embodiments as illustrated in
(79) The first lens component 301, 401, 501, 601 of the embodiments illustrated in
(80) In addition, at least one surface, the object side or the image side, of each of the six lens components is aspheric. In some embodiments both the object side surface and the image side surface of one or more of the six lens components is aspheric.
(81) The lens systems 310, 410, 510, 610 form an image on or near the surface of an image sensor 318, 418, 518, 618. A cover material 316, 416, 516, 616, such as a cover glass or an infrared cut filter, may be placed between the lens systems 310, 410, 510, 610 and the image sensor 318, 418, 518, 618. A frontal aperture stop (AS) 314, 514, may be located on the object side of the first lens component 301, 501.
(82) Embodiments of a camera lens system as described herein and illustrated in
0.8<|f.sub.1/f|<1.5;
1.0<|f.sub.2/f|<2.0;
1.0<|f.sub.3/f|<30.0;
1.0<|f.sub.4/f|<7.0;
1.0<|f.sub.5/f|<4.0;
0.8<|f.sub.6/f|<2.0; where f is the effective focal length of the lens system.
(83) The lens systems 310, 410, 510, 610 are configured such that the ratio (TTL/f) satisfies the relation:
1.0<TTL/f<2.0.
(84) In at least some embodiments of lens systems 310, 410, 510, 610 illustrated in
30<V.sub.1V.sub.2<35.
(85) In at least some embodiments of the lens systems 310, 410, 510, 610 illustrated in
(86) Referring to the lens systems 310 illustrated in
(87) The wafer lens component 301 may include an electrochromic layer that provides a variable light transmittance in response to an applied electrical voltage. The electrochromic layer may supplement the function of the aperture stop 314 or, in other embodiments, serve the function of a variable aperture stop without using an aperture stop. The electrochromic layer may be located either on the object planar side or the image planar side of the planar substrate 322. The electrochromic layer may be composed of transparent film layer of electrically conductive organic or inorganic material, such as metallic oxides and conductive polymers.
(88) The wafer lens component is comprised as a unit of the combination of a polymeric laminate layer and a planar substrate. Thus the refractive power of the wafer lens component is provided by the laminate layer or layers and the planar substrate or substrates. The laminate layer and the planar substrate will generally have different characteristics such as the indices of refraction and Abbe numbers. These composite optical materials contribute to the refractive power of the wafer lens component and these composite material refractive indices are considered in the computation of the refractive power of the wafer lens or wafer lens group. Therefore, the wafer lens component differs optically from a lens element of the same geometry that is formed of a single transparent mass of refractive material and the planar substrate, which may be a planar glass substrate, of the wafer lens does enter into the lens computations.
(89) The lens systems 410, 510, 610 illustrated in
(90) Referring now to embodiments as illustrated in
(91) The first lens component 801, 901 of the embodiments illustrated in
(92) In addition, at least one surface, the object side or the image side, of each of the six lens components is aspheric. In some embodiments both the object side surface and the image side surface of one or more of the six lens components is aspheric.
(93) The lens systems 810, 910 forms an image on or near the surface of an image sensor 818, 918. A cover material 816, 916, such as a cover glass or an infrared cut filter, may be placed between the lens systems 810, 910 and the image sensor 818, 918.
(94) Embodiments of a camera lens system as described herein and illustrated in
0.8<|f.sub.1/f|<1.5;
1.0<|f.sub.2/f|<2.0;
0.8<|f.sub.3/f|<1.5;
1.0<|f.sub.4/f|<30.0;
1.0<|f.sub.5/f|<5.0;
0.8<|f.sub.6/f|<2.0; where f is the effective focal length of the lens system.
(95) The lens systems 810, 910 are configured such that the ratio (TTL/f) satisfies the relation:
1.0<TTL/f<2.0.
(96) In at least some embodiments of lens systems 810, 910 illustrated in
30<V.sub.1V.sub.2<35.
(97) In at least some embodiments of the lens systems 810, and 910 illustrated in
(98) Referring to the lens systems 810 illustrated in
(99) The wafer lens component is comprised as a unit of the combination of a polymeric laminate layer and a planar substrate, which may be a planar glass substrate. Thus the refractive power of the wafer lens component is provided by the laminate layer or layers and the planar substrate or substrates. The laminate layer and the planar substrate will generally have different characteristics such as the indices of refraction and Abbe numbers. These composite optical materials contribute to the refractive power of the wafer lens component and these composite material refractive indices are considered in the computation of the refractive power of the wafer lens or wafer lens group. Therefore, the wafer lens component differs optically from a lens element of the same geometry that is formed of a single transparent mass of refractive material and the planar substrate of the wafer lens does enter into the lens computations.
(100) The wafer lens component 801 may include an electrochromic layer 814 that provides a variable light transmittance in response to an applied electrical voltage. The electrochromic layer 814 may serve the function of a variable aperture stop. The electrochromic layer 814 may be located in between the image side planar surface of the first wafer lens substrate 822 and the object side planar surface of the second wafer lens substrate 832. The electrochromic layer 814 may be composed of transparent film layer of electrically conductive organic or inorganic material, such as metallic oxides and conductive polymers.
(101) The lens system 910 illustrated in
(102) Referring now to embodiments as illustrated in
(103) The first lens component 1001, 1101 of the embodiments illustrated in
(104) In addition, at least one surface, the object side or the image side, of each of the six lens components is aspheric. In some embodiments both the object side surface and the image side surface of one or more of the six lens components is aspheric.
(105) The lens systems 1010, 1110 form an image on or near the surface of an image sensor 1018, 1118. A cover material 1016, 1116, such as a cover glass or an infrared cut filter, may be placed between the lens systems 1010, 1110 and the image sensor 1018, 1118. An aperture stop (AS) 1014, 1114 is located on the image side of the planar substrate 1022, 1122 of the first lens component 1001, 1101.
(106) Embodiments of a camera lens system as described herein and illustrated in
2.1<|f.sub.1/f|<2.2;
1.6<|f.sub.2/f|<1.7;
1.3<|f.sub.3/f|<1.5;
1.5<|f.sub.4/f|<2.3;
2.0<|f.sub.5/f|<26.0;
1.0<|f.sub.6/f|<1.9; where f is the effective focal length of the lens system.
(107) The lens systems 1010, 1110 are configured such that the ratio (TTL/f) satisfies the relation:
1.0<TTL/f<2.0.
(108) The first lens component 1001, 1101 is a wafer lens that may include a planar substrate 1022, 1122 and a single layer laminate 1024, 1124 of polymeric or plastic material on the object side of the planar substrate, which may be a planar glass substrate. The laminate layer 1024, 1124 of polymeric or plastic material may be formed using known manufacturing methods such as casting, molding, or microlithographic processes on the planar substrate 1022, 1122. If polymeric material is used it may be a UV curable polymeric. The laminate layer 1024, 1124 is formed with a shape that provides the refractive power for the wafer lens component 1001, 1101.
(109) The wafer lens component 1001, 1101 may include an electrochromic layer 1014, 1114 that provides a variable light transmittance in response to an applied electrical voltage. The electrochromic layer may serve the function of a variable aperture stop. The electrochromic layer may be composed of transparent film layer of electrically conductive organic or inorganic material, such as metallic oxides and conductive polymers.
(110) The wafer lens component is comprised as a unit of the combination of a polymeric laminate layer and a planar substrate. Thus the refractive power of the wafer lens component is provided by the laminate layer or layers and the planar substrate or substrates. The laminate layer and the planar substrate will generally have different characteristics such as the indices of refraction and Abbe numbers. These composite optical materials contribute to the refractive power of the wafer lens component and these composite material refractive indices are considered in the computation of the refractive power of the wafer lens or wafer lens group. Therefore, the wafer lens component differs optically from a lens element of the same geometry that is formed of a single transparent mass of refractive material and the planar substrate, which may be a planar glass substrate, of the wafer lens does enter into the lens computations.
(111) The lens systems described herein may include an object side lens component in the form of a wafer lens component. The wafer lens component is comprised as a unit of the combination of one or more planar substrates and one or more laminate refractive layers. Thus the refractive power of the wafer lens element or group is provided by the laminate layer or layers and the planar substrate or substrates. The laminate layer and the planar substrate will generally have different characteristics such as the indices of refraction and Abbe numbers. These composite optical materials contribute to the refractive power of the wafer lens component and these composite material refractive indices are considered in the computation of the refractive power of the wafer lens component. Therefore, the wafer lens component differs optically from a lens element of the same geometry that is formed of a single transparent mass of refractive material and the planar substrate of the wafer lens does enter into the lens computations.
(112) The wafer lens component of the lens systems described herein includes a plano surface on the planar substrate that is located along the optical axis at the appropriate position for an aperture stop or other form of light control. The aperture stop or light control may be in the form of a thin film applied to the plano surface of the planar substrate. For example, the aperture stop may be located at the planar surface 414, 614, 814, 914, 1014, 1114 of the wafer lens component 401, 601, 801, 901, 1001, 1101 as shown in
(113)
(114) The light.controlling element 3414 may be in the form of an aperture stop that includes an opaque material which defines a transparent opening, such as a circular opening, centered on the optical axis. In another embodiment the light.controlling element may be in the form of a neutral density filter that reduces the intensity of light uniformly over the entire surface,
(115) In yet another embodiment the light.controlling element may be in the form of an apodized aperture that reduces the intensity of light by a smoothly increasing amount as the distance from the optical axis increases, as suggested by
(116) The light.controlling element 3414 may be provide a variable light transmittance. In some embodiments, the light.controlling element may be a thin film layer of conductive organic or inorganic material applied to the planar substrate 3422 to provide an electrochromic lens component having variable light transmittance in response to an applied electrical voltage. In one embodiment, the electrochromic lens component provides a variable neutral density filter.
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(120) In another embodiment an electrochromic lens component may provide an apodized aperture of the type illustrated in
(121)
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(123) The imaging sensor 13 may be any conventional solid-state imaging sensor such as a complementary metal oxide semiconductor (CMOS) sensor chip, which presents an interface to an exposure controller 18 to receive certain parameters for determining an exposure for taking a picture. The sensor parameters may include pixel integration time, which may be set by the exposure controller 18 in accordance with any suitable exposure control algorithm that considers various input variables (e.g., level of scene illumination and the availability of a flash or strobe illumination). The exposure controller 18 may automatically perform the algorithm to determine an appropriate exposure setting, and then signal the imaging sensor to update its parameters in response to a manual shutter release command (e.g., in response to a mechanical or virtual shutter button being actuated by a user of the device). The exposure controller 18 may be implemented as a programmed processor or as a completely hardwired logic state machine together with stored parameter options. Once a digital image has been captured by the imaging sensor 13 under the chosen exposure setting, it may be transferred to a digital image storage 19 (e.g., solid state volatile or non-volatile memory), prior to being further processed or analyzed by higher layer camera functions that yield for example a still picture file (e.g., in a JPEG format) or a video file (e.g., in a digital movie format).
(124) Also included in the camera module 10 is a focusing lens 11 which may include one or more lens components that serve to focus light from the scene onto the imaging sensor 13 (thereby producing an optical image on an active pixel array portion of the imaging sensor 13). The focusing lens 11 may be one of the lens systems described herein. The focusing lens 11 may be part of either a fixed focus optical subsystem, or a variable focus subsystem that implements an autofocus mechanism. In the case of an auto focus mechanism, additional control parameters relating to lens position can be set by the exposure controller 18 for each exposure to be taken, as is apparent to those of ordinary skill in the art.
(125) The camera module 10 also has the E-O variable aperture 14, which for the purposes of the block diagram is shown as being positioned in front of the focusing lens 11 on the optical path. When used with embodiments of the lens system described herein, the E-O variable aperture 14 will be located within the focusing lens 11. The aperture 14 effectively implements a pupil whose width or size is electrically variable. The aperture 14 may be positioned at any suitable aperture location along the optical axis in front of the imaging sensor 13. When the aperture 14 has been electrically controlled into a small or narrow pupil, highly collimated rays are admitted by it, which results in a sharp focus at an image plane of the optical system. On the other hand, when the aperture 14 is configured into a large or wide pupil, un-collimated rays are admitted resulting in an optical image that is sharp around what the focusing lens 11 is focusing on, and may be blurred otherwise. The aperture 14 thus determines how collimated the admitted rays of light from the scene are, that ultimately come to a focus in an image plane. The aperture 14 also determines the amount of incident light or how many incoming rays are admitted, and thus how much light reaches the imaging sensor, where of course the narrower the aperture the darker the digital image that is captured by the sensor 13 (for a given integration time). Control of the effective pupil size of the aperture 14 is achieved using an electronic driver circuit 15, which may receive a control signal or command from the exposure controller 18 that may represent the desired size of the effective pupil. The driver circuit 15 translates this input command into a drive voltage that is applied to the input transparent conductors of the aperture 14, as described below.
(126) Turning now to
(127) In one embodiment, the electrolyte medium consists of an ion source medium that is adjacent to the rear transparent conductor 20 and is in contact with an ion conduction medium, which in turn is adjacent to the active EC layer. Here, an ion source layer is formed that is not in contact with the active EC layer, but rather is in contact with the ion conduction layer, the latter being in contact with the active EC layer. In other words, the ion conduction layer is entirely sandwiched between the ion source layer and the active EC layer. This arrangement may also be found in other embodiments of the aperture 14, for instance as they are depicted in the cut away views of
(128) The ion source layer stores suitable ions, for example, lithium ions, that will be used for activating the EC layer when a sufficient charge field, that may be generally vertically directed in the context of the figures here, has been generated between the transparent conductor layers 17, 20. In addition, the ion source layer should be sufficiently clear or transparent to allow light rays from the scene to pass through (in a generally vertical direction in the context of the figures here). The ion source layer may also be referred to as a counter electrode layer.
(129) The ion conduction layer allows for high mobility of the ions that have been produced by the ion source when entering the active EC layer.
(130) The transparent conductor layers 17, 20 in the front and rear are formed on a plano surface of a substrate 16 as shown in
(131) A transparent conductor may be, for example, a layer of indium tin oxide (ITO) or other transparent conductive material that is formed as a relatively thin layer. The transparent conductor provides a conductive path for charge from the driver circuit to be applied to the ion source while at the same time allowing the free passage of light rays from the scene. In this case, the front transparent conductor layer 17 is formed on a rear face of the front substrate 16. Note that the references here to front and rear are only to make it easier to describe the structure of the aperture 14 and are not intended to be otherwise limiting. For example, in one embodiment, the incident light enters that stack up through the front substrate 16 that is at the bottom of the stack shown in
(132) Still referring to
(133) In operation, the aperture 14 presents effectively a wide pupil so long as there is insufficient current through the outer region of the EC medium, which can be achieved when essentially zero voltage is being applied by the driver circuit to the front and rear transparent conductors. When the driver increases the voltage, ions are forced to travel from the electrolyte medium through the tapered active EC layer, which darkens that outer region of the EC layer. Here it should be noted that the darkness of the EC layer depends on the thickness at that point, in addition to the strength of the current at that point. Thus, the darkness change in the tapered EC layer is gradual in that the darkness increases as one moves outward, away from the center optical axis, for a given fixed voltage. The shape of the taper at the edge of the EC layer may be tuned in order to tune the diffraction qualities of the optical system. This may help create a sharper image on the imaging sensor 13 (see
(134) Although not shown in the drawings, a top view of the aperture 14 reveals that the inner region which may be centrally aligned with the optical axis may be formed into any suitable shape, although it is expected that a circular shape may produce improved results in that it matches the naturally circular shape of a lens component of the focusing lens 11. Also, while there are several references here to a ring or ring-like shape, this does not mean that the external boundary of that shape is necessarily also circular, but rather that the shape is merely annular in that there is an essentially empty inner region surrounded by a non-empty outer region.
(135) The overall process of activation and deactivation of the EC layer is reversible, so that the outer region of the active EC layer can transition from a substantially clear (transparent) state into a colored or dark state (in response to sufficient current being produced through it) and back (when the activation voltage is removed).
(136) In one embodiment, in its clear state (e.g., at zero drive voltage), the aperture 14 has at least 95 percent transmission of light in a visible band of interest (for consumer electronics digital photography); when the effective pupil diameter is then decreased by three aperture stop steps (where each step reduces the diameter by a factor of square root of 2, or about 1.414, hence a halving of the effective area of the pupil), the aperture 14 should still exhibit at least 75 percent light transmission.
(137) In one embodiment, referring now to
(138) Turning now to
(139) Referring now to
(140) It should be noted that a further advantage of the embodiment of
(141) Turning now to
(142) Turning now to
(143) Turning now to
(144)
(145) Although
(146) Referring now to
(147) The following descriptions provide further details of the exemplary embodiments illustrated in
(148)
(149) The lens system 110 forms an image at the surface of a photosensor 118. In some embodiments, an infrared (IR) filter 116 may be located between the sixth lens component L.sub.6 106 and the photosensor 118.
(150) The effective focal length of the lens system 110 is given by f. The total track length (TTL) of the compact lens system 110 is the distance along the optical axis between the object side surface of the first component L.sub.1 and the image plane. The lens system 110 is configured such that the ratio (TTL/f) of the lens system 110 satisfies the relation:
1.0<TTL/f<2.0
(151) An aperture stop AS 114, which may be located at the front surface of lens component L.sub.1 101, determines the entrance pupil of the lens system 110. The lens system 110 focal ratio or f-number is defined as the lens system 110 effective focal length f divided by the entrance pupil diameter. The IR filter 118 may act to block infrared radiation that could damage or adversely affect the photosensor, and may be configured so as to have no effect on f.
(152) Tables 1A and 1B provide example values for various optical and physical parameters of an example embodiment of the lens system 110 as illustrated in
(153) Referring to Tables 1A and 1B, embodiments of lens system 110 cover applications in the visible region of the spectrum from 470 nanometers (nm) to 650 nm with a reference wavelength at 555 nm. The optical prescription in Tables 1A and 1B provides high image quality at f/1.8 over 470 nm to 650 nm spectrum, for an effective focal length f of 4.1 millimeters (mm), covering 77.6 degrees field of view (FOV) (38.8 degrees half FOV). The lens system 110, illustrated in
(154) The six lens components L.sub.1, L.sub.2, L.sub.3, L.sub.4, L.sub.5, and L.sub.6 of lens system 110 may be composed of plastic materials with refractive indices and Abbe numbers as listed in Table 1A. As shown in Table 1A, in at least some embodiments of lens system 110, three types of plastic materials may be used for the lens components. Lens component L.sub.1 may be composed of plastic material with an Abbe number of 56.3, and L.sub.3, L.sub.4, and L.sub.5 may be composed of the same plastic material with an Abbe number V.sub.1 of 55.9, and lens components L.sub.2 and L.sub.6, may be composed of another plastic material with an Abbe number V.sub.2 of 22.4. The application of these plastic materials for the lens components in lens system 110 enables lens system 110 to be optimized and corrected for chromatic aberrations over the visible region.
(155) The lens component materials may be chosen and the refractive power distribution of the lens components may be calculated to satisfy the effective focal length f and correction of the field curvature or Petzval sum. The monochromatic and chromatic variations of optical aberrations may be reduced by adjusting the radii of curvature and aspheric coefficients or geometrical shapes of the lens components and axial separations as illustrated in Table 1B to produce well corrected and balanced minimal residual aberrations.
(156)
(157)
(158) The second lens component L.sub.2 102 of the lens system 110 has negative refractive power or negative focal length f.sub.2 and a convex object side surface. In addition, lens component L.sub.2 of lens system 110 is negative meniscus in shape and has positive vertex radii of curvature R.sub.3 and R.sub.4, where R.sub.3>R.sub.4, and R.sub.3/R.sub.4 is about 2.371.
(159) In the example embodiment of the lens system 110 as described by the optical prescription in Tables 1A and 1B, the refractive powers of the lens components are distributed such that the ratios of the focal lengths of the lens component relative to the system focal length f are as follows:
|f.sub.1/f|=0.908,
|f.sub.2/f|=1.430,
|f.sub.3/f|=2.384,
|f.sub.4/f|=5.962,
|f.sub.5/f|=2.765, and
|f.sub.6/f|=1.180.
(160) The lens components have vertex radii of curvature that satisfy the following relations:
L.sub.1 R.sub.1/R.sub.2=0.808,
L.sub.2 R.sub.3/R.sub.4=2.371,
L.sub.3 R.sub.5/R.sub.6=0.392,
L.sub.4 R.sub.7/R.sub.8=1.013,
L.sub.5 R.sub.9/R.sub.10=0.782, and
L.sub.6 R.sub.11/R.sub.12=110.099.
(161) The aspheric coefficients for the surfaces of the lens components in lens system 110 in the example embodiment are listed in Table 1B. Configuring lens system 110 according to the arrangement of the power distribution of the lens components, and adjusting the radii of curvature and aspheric coefficient as shown in Tables 1A and 1B, the total track length (TTL), of the lens system 110 may be reduced (e.g., to 5.802 mm as shown in Table 1A). Aberration of the system may effectively be corrected to obtain optical performance of high image quality resolution in a small form factor WFOV, f/1.80 lens system 110.
(162)
(163) Tables 2A and 2B provide example values for various optical and physical parameters of an example embodiment of a lens system 210 as illustrated in
(164) The optical prescription in Tables 2A and 2B is for lens system 210 with an effective focal length f of 4.1 mm at 555 nm wavelength, a focal ratio of f/1.75, with 77.6 degrees FOV, TTL of 5.801 mm, and with TTL/f equal to 1.4148. Lens system 210 is a compact imaging system designed for visible spectrum covering 470 nm to 650 nm.
(165) The lens components L.sub.1, L.sub.2, L.sub.3, L.sub.4, L.sub.5, and L.sub.6 201-206 of the lens system 210 may be composed of plastic materials with refractive indices and Abbe numbers as listed in Table 2A. In this example embodiment of a lens system 210, the choice of lens materials is as listed in Table 1A. Referring to the lens system 210, the lens component L.sub.1, L.sub.3, L.sub.4, and L.sub.5 201, 203-205 may be composed of a plastic material having an Abbe number of V.sub.1=55.9. The lens components L.sub.2 202 and L.sub.6 206 may be composed of a plastic material with Abbe number V.sub.2=22.4.
(166) The lens system 210 as specified in Tables 2A and 2B is configured to correct optical aberrations as described above for the lens system 110 specified by the optical prescription in Tables 1A and 1B.
(167)
(168)
(169) In the example embodiment of the lens system 210 as described by the optical prescription in Tables 2A and 2B, the refractive powers of the lens components are distributed such that the ratios of the focal lengths of the lens component relative to the system focal length f are as follows:
|f.sub.1/f|=0.935,
|f.sub.2/f|=1.432,
|f.sub.3/f|=2.260,
|f.sub.4/f|=6.210,
|f.sub.5/f|=2.692, and
|f.sub.6/f|=1.212.
(170) The lens components have vertex radii of curvature that satisfy the following relations:
L.sub.1 R.sub.1/R.sub.2=0.701,
L.sub.2 R.sub.3/R.sub.4=2.252,
L.sub.3 R.sub.5/R.sub.6=0.145,
L.sub.4 R.sub.7/R.sub.8=1.011,
L.sub.5 R.sub.9/R.sub.10=0.768, and
L.sub.6 R.sub.11/R.sub.12=22.807.
(171) The aspheric coefficients for the surfaces of the lens components in the lens system 210 in the example embodiment are listed in Table 2B. Configuring lens system 210 according to the arrangement of the power distribution of the lens components, and adjusting the radii of curvature and aspheric coefficient as shown in Tables 2A and 2B, the total track length (TTL), of the lens system 210 may be reduced (e.g., to 5.801 mm as shown in Table 2A). Aberration of the system may effectively be corrected to obtain optical performance of high image quality resolution, for an object scene at infinity in a small form factor f/1.75 lens system 210.
(172)
(173) The lens system 310 forms an image at the surface of a photosensor 318. In some embodiments, an infrared (IR) filter 316 may be located between the sixth lens component L.sub.6 306 and the photosensor 318.
(174) The effective focal length of the lens system 310 is given by f. The total track length (TTL) of the compact lens system 310 is the distance along the optical axes AX between the object side surface of the first component L.sub.1 and the image plane. Referring to
1.0<TTL/f<2.0.
(175) An aperture stop AS 314, which may be located at the front surface of lens component L.sub.1 301, determines the entrance pupil of the lens system 310. The lens system 310 focal ratio or f-number is defined as the lens system 310 effective focal length f divided by the entrance pupil diameter. The IR filter 318 may act to block infrared radiation that could damage or adversely affect the photosensor, and may be configured so as to have no effect on f.
(176) Tables 3A and 3B provide example values of various optical and physical parameters of an example embodiment of a lens system 310 as illustrated in
(177) The wafer lens component L.sub.1 301 may be composed of a planar substrate 322 and layer laminates 324, 326 of UV curable polymeric or plastic materials (listed in Table 3B) formed using known manufacturing methods such as casting, molding, or microlithographic process on the planar substrate, which may be a planar glass substrate. The remaining five lens components L.sub.2, L.sub.3, L.sub.4, L.sub.5, and L.sub.6 302-306 of the lens system 310 may be composed of plastic materials with refractive indices and Abbe numbers as listed in Table 3A. In this example embodiment of a lens system 310, the choice of lens materials for the refractive lens components are the same as in the optical prescription for the lens system 110 as listed in Table 1A. Referring to the lens system 310 as specified in Tables 3A and 3B, the lens component L.sub.3, L.sub.4, and L.sub.5 303-305 may be composed of a plastic material having an Abbe number of V.sub.1=55.9. The lens components L.sub.2 302 and L.sub.6 306 may be composed of a plastic material with Abbe number V.sub.2=22.4.
(178) The lens system 310 as specified in Tables 3A and 3B is configured to correct optical aberrations as described above for the lens system 110 specified by the optical prescription in Tables 1A and 1B.
(179)
(180)
(181) In the example embodiment of the lens system 310 as described by the optical prescription in Tables 3A and 3B, the refractive powers of the lens components are distributed such that the ratios of the focal lengths of the lens component relative to the system focal length f are as follows:
|f.sub.1/f|=1.030,
|f.sub.2/f|=1.564,
|f.sub.3/f|=1.976,
|f.sub.4/f|=6.439,
|f.sub.5/f|=2.576, and
|f.sub.6/f|=1.111.
(182) The lens components have vertex radii of curvature that satisfy the following relations:
L.sub.1 R.sub.1/R.sub.2=0.544,
L.sub.2 R.sub.3/R.sub.4=2.052,
L.sub.3 R.sub.5/R.sub.6=0.611,
L.sub.4 R.sub.7/R.sub.8=1.021,
L.sub.5 R.sub.9/R.sub.10=0.771, and
L.sub.6 R.sub.11/R.sub.12=47.688.
(183) The aspheric coefficients for the surfaces of the lens components in lens system 310 in the example embodiment are listed in Table 3B. Configuring lens system 310 according to the arrangement of the power distribution of the lens components, and adjusting the radii of curvature and aspheric coefficient as shown in Tables 3A and 3B, the total track length (TTL), of the lens system 310 may be reduced (e.g., to 5.800 mm as shown in Table 3A). Aberration of the system may effectively be corrected to obtain optical performance of high image quality resolution, for object scene at infinity in a small form factor f/1.80 lens system 310.
(184)
(185) The lens system 410 forms an image at the surface of a photosensor 418. In some embodiments, an infrared (IR) filter 416 may be located between the sixth lens component L.sub.6 406 and the photosensor 418. The lens system 410 may be viewed as a variation of the lens system 310 of
(186) An aperture stop (AS) 414 is applied to the object side plano surface of the planar substrate 422. The aperture stop 414 may be a fixed aperture stop in the form of a material applied to the planar substrate 422 to provide a transparent opening, such as a circular opening, centered on the optical axis. In another embodiment, a thin film layer 414 of conductive organic or inorganic material may be deposited on the planar substrate 422 to provide an aperture stop in the form of an electrochromic lens component having variable light transmittance in response to an applied electrical voltage. The electrochromic lens component 414 may provide a central transparent opening that can be adjusted by an applied voltage that provides a variable intensity profile distribution across the aperture opening for the light energy transmitted through the optical system.
(187) Tables 4A and 4B provide example values of various optical and physical parameters of an example embodiment of the lens system 410 as illustrated in
(188) Tables 4A and 4B may be referred to as providing an optical prescription for a lens system 410. The optical prescription in Tables 4A and 4B is for lens system 410 with an effective focal length f of 4.10 mm at 555 nm wavelength, a focal ratio of f/1.8, with 77.6 degrees FOV, TTL of 5.800 mm, and with TTL/f equal to 1.4146. Lens system 410 is a compact imaging system designed for visible spectrum covering 470 nm to 650 nm.
(189) The wafer lens component L.sub.1 401 may be composed of a planar substrate 422 and layer laminates 424, 426 of UV curable polymeric or plastic materials (with refractive indices and Abbe numbers listed in Table 4A) formed using known manufacturing methods such as casting, molding, or microlithographic process on the planar substrate. The remaining five lens components L.sub.2, L.sub.3, L.sub.4, L.sub.5, and L.sub.6 402-406 of the lens system 410 may be composed of plastic materials with refractive indices and Abbe numbers as listed in Table 4A. In this example embodiment of a lens system 410, the choice of lens materials for the refractive lens components are the same as in the optical prescription for the lens system 310 as listed in Table 3A. Referring to the lens system 410 as specified in Tables 4A and 4B, the lens component L.sub.3, L.sub.4, and L.sub.5 403-405 may be composed of a plastic material having an Abbe number of V.sub.1=55.9. The lens components L.sub.2 402 and L.sub.6 406 may be composed of a plastic material with Abbe number V.sub.2=22.4.
(190) The lens system 410 as specified in Tables 4A and 4B is configured to correct optical aberrations as described above for the lens system 110 specified by the optical prescription in Tables 1A and 1B.
(191)
(192)
(193) In the example embodiment of the lens system 410 as described by the optical prescription in Tables 4A and 4B, the refractive powers of the lens components are distributed such that the ratios of the focal lengths of the lens component relative to the system focal length f are as follows:
|f.sub.1/f|=1.030,
|f.sub.2/f|=1.564,
|f.sub.3/f|=1.976,
|f.sub.4/f|=6.439,
|f.sub.5/f|=2.576, and
|f.sub.6/f|=1.111.
(194) The lens components have vertex radii of curvature that satisfy the following relations:
L.sub.1 R.sub.1/R.sub.2=0.544,
L.sub.2 R.sub.3/R.sub.4=2.052,
L.sub.3 R.sub.5/R.sub.6=0.611,
L.sub.4 R.sub.7/R.sub.8=1.021,
L.sub.5 R.sub.9/R.sub.10=0.771, and
L.sub.6 R.sub.11/R.sub.12=47.688.
(195) The aspheric coefficients for the surfaces of the lens components in lens system 410 in the example embodiment are listed in Table 4B. Configuring lens system 410 according to the arrangement of the power distribution of the lens components, and adjusting the radii of curvature and aspheric coefficient as shown in Tables 4A and 4B, the total track length (TTL), of the lens system 410 may be reduced (e.g., to 5.800 mm as shown in Table 4A). Aberration of the system may effectively be corrected to obtain optical performance of high image quality resolution, for object scene at infinity in a small form factor f/1.80 lens system 410.
(196)
(197) The lens system 510 forms an image at the surface of a photosensor 518. In some embodiments, an infrared (IR) filter 516 may be located between the sixth lens component L.sub.6 506 and the photosensor 518.
(198) This lens system 510 may be viewed as a similar in design configuration to the lens system 310 of
(199) Tables 5A and 5B provide example values of various optical and physical parameters of an example embodiment of a lens system 510 as illustrated in
(200) The wafer lens component L.sub.1 501 may be composed of a planar substrate 522, which may be a planar glass substrate, and layer laminates 524, 526 of polymeric or plastic materials (with refractive indices and Abbe numbers listed in Table 5A) formed using known manufacturing methods such as casting, molding, or microlithographic process on the planar substrate. The remaining five lens components L.sub.2, L.sub.3, L.sub.4, L.sub.5, and L.sub.6 502-506 of lens system 510 may be composed of plastic materials with refractive indices and Abbe numbers as listed in Table 5A. In this example embodiment of lens system 510, the choice of lens materials for the refractive lens components are the same as in the optical prescription for the lens system 310 as listed in Table 3A. Referring to the lens system 510, the lens component L.sub.3, L.sub.4, and L.sub.5 503-505 may be composed of a plastic material having an Abbe number of V.sub.1=55.9. The lens components L.sub.2 and L.sub.6 502, 506 may be composed of a plastic material with Abbe number V.sub.2=22.4.
(201) The lens system 510 as specified in Tables 5A and 5B is configured to correct optical aberrations as described above for the lens system 110 specified by the optical prescription in Tables 1A and 1B.
(202)
(203)
(204) In the example embodiment of the lens system 510 as described by the optical prescription in Tables 5A and 5B, the refractive powers of the lens components are distributed such that the ratios of the focal lengths of the lens component relative to the system focal length f are as follows:
|f.sub.1/f|=1.082,
|f.sub.2/f|=1.615,
|f.sub.3/f|=1.780,
|f.sub.4/f|=6.351,
|f.sub.5/f|=2.671, and
|f.sub.6/f|=1.087.
(205) The lens components have vertex radii of curvature that satisfy the following relations:
L.sub.1 R.sub.1/R.sub.2=0.591,
L.sub.2 R.sub.3/R.sub.4=1.940,
L.sub.3 R.sub.5/R.sub.6=0.566,
L.sub.4 R.sub.7/R.sub.8=1.014,
L.sub.5 R.sub.9/R.sub.10=0.781, and
L.sub.6 R.sub.11/R.sub.12=20.098.
(206) The aspheric coefficients for the surfaces of the lens components in lens system 510 in the example embodiment are listed in Table 5B. Configuring lens system 510 according to the arrangement of the power distribution of the lens components, and adjusting the radii of curvature and aspheric coefficient as shown in Tables 5A and 5B, the total track length (TTL), of the lens system 510 may be reduced (e.g., to 5.809 mm as shown in Table 5A). Aberration of the system may effectively be corrected to obtain optical performance of high image quality resolution, for object scene at infinity in a small form factor f/1.80 lens system 510.
(207)
(208) The lens system 610 forms an image at the surface of a photosensor 618. In some embodiments, an infrared (IR) filter 616 may be located between the sixth lens component L.sub.6 606 and the photosensor 618.
(209) This lens system 610 may be viewed as similar in design configuration to the lens system 410 of
(210) An aperture stop (AS) 614 is applied to the object side plano surface of the planar substrate 622. The aperture stop 614 may be a fixed aperture stop in the form of a material applied to the planar substrate 622 to provide a transparent opening, such as a circular opening, centered on the optical axis. In another embodiment, a transparent thin film layer 614 of conductive organic polymer or inorganic material may be deposited on the planar substrate 622 to provide an aperture stop in the form of an electrochromic layer having variable light transmittance in response to an applied electrical voltage. The electrochromic lens component 614 may provide a central transparent opening that can be adjusted by an applied voltage that provides a variable intensity profile distribution across the aperture opening for the light energy transmitted through the optical system.
(211) Tables 6A and 6B provide example values of various optical and physical parameters of an example embodiment of a lens system 610 as illustrated in
(212) The wafer lens component L.sub.1 601 may be composed of a planar substrate 622, which may be a planar glass substrate, and layer laminates 624, 626 of polymeric or plastic materials (with refractive indices and Abbe numbers listed in Table 6A) formed using known manufacturing methods such as casting, molding, or microlithographic process on the planar substrate. The remaining five lens components L.sub.2, L.sub.3, L.sub.4, L.sub.5, and L.sub.6 602-606 of lens system 610 may be composed of plastic materials with refractive indices and Abbe numbers as listed in Table 6A. In this example embodiment of a lens system 610, the choice of lens materials for the refractive lens components are the same as in the optical prescription for the lens system 410 as listed in Table 4A. Referring to the lens system 610, the lens component L.sub.3, L.sub.4, and L.sub.5 603-605 may be composed of a plastic material having an Abbe number of V.sub.1=55.9. The lens components L.sub.2 and L.sub.6 602, 606 may be composed of a plastic material with Abbe number V.sub.2=22.4.
(213) The lens system 610 as specified in Tables 6A and 6B is configured to correct optical aberrations as described above for the lens system 110 specified by the optical prescription in Tables 1A and 1B.
(214)
(215)
(216) In the example embodiment of the lens system 610 as described by the optical prescription in Tables 6A and 6B, the refractive powers of the lens components are distributed such that the ratios of the focal lengths of the lens component relative to the system focal length f are as follows:
|f.sub.1/f|=1.082,
|f.sub.2/f|=1.615,
|f.sub.3/f|=1.780,
|f.sub.4/f|=6.351,
|f.sub.5/f|=2.671, and
|f.sub.6/f|=1.087.
(217) The lens components have vertex radii of curvature that satisfy the following relations:
L.sub.1 R.sub.1/R.sub.2=0.591,
L.sub.2 R.sub.3/R.sub.4=1.940,
L.sub.3 R.sub.5/R.sub.6=0.566,
L.sub.4 R.sub.7/R.sub.8=1.014,
L.sub.5 R.sub.9/R.sub.10=0.781, and
L.sub.6 R.sub.11/R.sub.12=20.098.
(218) The aspheric coefficients for the surfaces of the lens components in lens system 610 in the example embodiment are listed in Table 6B. Configuring lens system 610 according to the arrangement of the power distribution of the lens components, and adjusting the radii of curvature and aspheric coefficient as shown in Tables 6A and 6B, the total track length (TTL), of the lens system 610 may be reduced (e.g., to 5.809 mm as shown in Table 6A). Aberration of the system may effectively be corrected to obtain optical performance of high image quality resolution, for object scene at infinity in a small form factor f/1.80 lens system 610.
(219)
(220) Tables 7A and 7B provide example values of various optical and physical parameters of an example embodiment of a lens system 710 as illustrated in
(221) The lens components L.sub.1, L.sub.2, L.sub.3, L.sub.4, L.sub.5, and L.sub.6 701-706 of the lens system 710 may be composed of plastic materials with refractive indices and Abbe numbers as listed in Table 7A. In this example embodiment of a lens system 710, the choice of lens materials is as listed in Table 7A. Referring to the lens system 710, the lens component L.sub.1, L.sub.3, L.sub.4, and L.sub.5 701, 703-705 may be composed of a plastic material having an Abbe number of V.sub.1=55.9. The lens components L.sub.2 702 and L.sub.6 706 may be composed of a plastic material with Abbe number V.sub.2=22.4.
(222) The lens system 710 as specified in Tables 7A and 7B is configured to correct optical aberrations as described above for the lens system 110 specified by the optical prescription in Tables 1A and 1B.
(223)
(224)
(225) In the example embodiment of the lens system 710 as described by the optical prescription in Tables 7A and 7B, the refractive powers of the lens components are distributed such that the ratios of the focal lengths of the lens component relative to the system focal length f are as follows:
|f.sub.1/f|=0.962,
|f.sub.2/f|=1.740,
|f.sub.3/f|=25.215,
|f.sub.4/f|=1.719,
|f.sub.5/f|=2.818, and
|f.sub.6/f|=0.976.
(226) The lens components have vertex radii of curvature that satisfy the following relations:
L.sub.1 R.sub.1/R.sub.2=0.392,
L.sub.2 R.sub.3/R.sub.4=5.718,
L.sub.3 R.sub.5/R.sub.6=0.917,
L.sub.4 R.sub.7/R.sub.8=1.667,
L.sub.5 R.sub.9/R.sub.10=0.768, and
L.sub.6 R.sub.11/R.sub.12=3.885.
(227) The aspheric coefficients for the surfaces of the lens components in the lens system 710 in the example embodiment are listed in Table 7B. Configuring lens system 710 according to the arrangement of the power distribution of the lens components, and adjusting the radii of curvature and aspheric coefficient as shown in Tables 7A and 7B, the total track length (TTL), of the lens system 710 may be reduced (e.g., to 5.750 mm as shown in Table 7A). Aberration of the system may effectively be corrected to obtain optical performance of high image quality resolution, for object scene at infinity in a small form factor f/2.0 lens system 710.
(228)
(229) The lens system 810 forms an image at the surface of a photosensor 818. In some embodiments, an infrared (IR) filter 816 may be located between the sixth lens component L.sub.6 806 and the photosensor 818. Each of the two wafer lens components 820, 830 comprises a planar substrate 822, 832 with a UV curable layer laminate 824, 834 of polymeric or plastic materials formed on one of the planar surfaces of the substrate, which may be a planar glass substrate.
(230) The wafer lens group component 801 may be equipped with electrochromic layer 814 located between the planar image side surface of the substrate 822 of the first wafer lens component 820 and the planar object side surface of the substrate of the second wafer lens component 830. The electrochromic layer 814 comprises a transparent layer of conductive organic polymer or inorganic material having variable light transmittance in response to an applied electrical voltage. The lens system 810 may also be equipped and used with a standard iris type aperture stop (not shown).
(231) Tables 8A and 8B provide example values of various optical and physical parameters of an example embodiment of a lens system 810 as illustrated in
(232) Tables 8A and 8B may be referred to as providing an optical prescription for a lens system 810. The optical prescription in Tables 8A and 8B is for lens system 810 with an effective focal length f of 4.10 mm at 555 nm wavelength, a focal ratio of f/2.0, with 74 degrees FOV, TTL of 5.799 mm, and with TTL/f equal to 1.4140. Lens system 810 is a compact imaging system designed for visible spectrum covering 470 nm to 650 nm.
(233) The wafer lens group component L.sub.1 801 may be composed of two wafer lens components 820, 830 having planar substrates 822, 832 and layer laminates 824, 834 of polymeric or plastic materials (with refractive indices and Abbe numbers listed in Table 8A) formed using known manufacturing methods such as casting, molding, or microlithographic process on the planar substrate. The remaining five lens components L.sub.2, L.sub.3, L.sub.4, L.sub.5, and L.sub.6 802-806 of the lens system 810 may be composed of plastic materials with refractive indices and Abbe numbers as listed in Table 8A. Referring to the lens system 810 as specified in Table 8A, the lens component L.sub.3, L.sub.4, and L.sub.5 803-805 may be composed of a plastic material having an Abbe number of V.sub.1=55.9. The second lens component L.sub.2 802 may be composed of a plastic material with Abbe number of V.sub.2=23.9 and the sixth lens component L.sub.6 806 may be composed of a plastic material with Abbe number V.sub.3=21.5.
(234) The lens system 810 as specified in Tables 8A and 8B is configured to correct optical aberrations as described above for the lens system 110 specified by the optical prescription in Tables 1A and 1B.
(235)
(236)
(237) In the example embodiment of the lens system 810 as described by the optical prescription in Tables 8A and 8B, the refractive powers of the lens components are distributed such that the ratios of the focal lengths of the lens component relative to the system focal length f are as follows:
|f.sub.1/f|=1.393,
|f.sub.2/f|=1.221,
|f.sub.3/f|=0.928,
|f.sub.4/f|=14.581,
|f.sub.5/f|=4.050, and
|f.sub.6/f|=1.440.
(238) The lens components have vertex radii of curvature that satisfy the following relations:
L.sub.1 R.sub.1/R.sub.2=0.245,
L.sub.2 R.sub.3/R.sub.4=2.046,
L.sub.3 R.sub.5/R.sub.6=0.014,
L.sub.4 R.sub.7/R.sub.8=0.943,
L.sub.5 R.sub.9/R.sub.10=0.884, and
L.sub.6 R.sub.11/R.sub.12=6.117.
(239) The aspheric coefficients for the surfaces of the lens components in lens system 810 in the example embodiment are listed in Table 8B. Configuring lens system 810 according to the arrangement of the power distribution of the lens components, and adjusting the radii of curvature and aspheric coefficient as shown in Tables 8A and 8B, the total track length (TTL), of the lens system 810 may be reduced (e.g., to 5.799 mm as shown in Table 8A). Aberration of the system may effectively be corrected to obtain optical performance of high image quality resolution, for object scene at infinity in a small form factor f/2.0 lens system 810.
(240)
(241) The lens system 910 forms an image at the surface of a photosensor 918. In some embodiments, an infrared (IR) filter 916 may be located between the sixth lens component L.sub.6 906 and the photosensor 918. Each of the two wafer lens components 920, 930 comprises a planar substrate 922, 932 with a UV curable layer laminate 924, 934 of polymeric or plastic materials formed on one of the planar surfaces of the substrate, which may be a planar glass substrate.
(242) The wafer lens group component 901 may be equipped with electrochromic layer 914 located between the planar image side surface of the substrate 922 of the first wafer lens component 920 and the planar object side surface of the substrate of the second wafer lens component 930. The electrochromic layer 914 comprises a transparent layer of conductive organic polymer or inorganic material having variable light transmittance in response to an applied electrical voltage. The lens system 910 may also be equipped and used with a standard iris type aperture stop (not shown).
(243) Tables 9A and 9B provide example values of various optical and physical parameters of an example embodiment of a lens system 910 as illustrated in
(244) Tables 9A and 9B may be referred to as providing an optical prescription for a lens system 910. The optical prescription in Tables 9A and 9B is for lens system 910 with an effective focal length f of 4.10 mm at 555 nm wavelength, a focal ratio of f/2.0, with 74 degrees FOV, TTL of 5.799 mm, and with TTL/f equal to 1.4140. Lens system 810 is a compact imaging system designed for visible spectrum covering 470 nm to 650 nm.
(245) The wafer lens group component L.sub.1 901 may be composed of two wafer lens components 920, 930 having planar substrates 922, 932 and layer laminates 924, 934 of polymeric or plastic materials (with refractive indices and Abbe numbers listed in Table 9A) formed using known manufacturing methods such as casting, molding, or microlithographic process on the planar substrate. The remaining five lens components L.sub.2, L.sub.3, L.sub.4, L.sub.5, and L.sub.6 902-906 of the lens system 910 may be composed of plastic materials with refractive indices and Abbe numbers as listed in Table 9A. Referring to the lens system 910 as specified in Table 9A, the lens component L.sub.3, L.sub.4, and L.sub.5 903-905 may be composed of a plastic material having an Abbe number of V.sub.1=55.9. The second lens component L.sub.2 902 may be composed of a plastic material with Abbe number of V.sub.2=23.9 and the sixth lens component L.sub.6 906 may be composed of a plastic material with Abbe number V.sub.3=21.5.
(246) The lens system 910 as specified in Tables 9A and 9B is configured to correct optical aberrations as described above for the lens system 110 specified by the optical prescription in Tables 1A and 1B.
(247)
(248)
(249) In the example embodiment of the lens system 910 as described by the optical prescription in Tables 9A and 9B, the refractive powers of the lens components are distributed such that the ratios of the focal lengths of the lens component relative to the system focal length f are as follows:
|f.sub.1/f|=1.393,
|f.sub.2/f|=1.217,
|f.sub.3/f|=0.946,
|f.sub.4/f|=10.971,
|f.sub.5/f|=3.982, and
|f.sub.6/f|=1.437.
(250) The lens components have vertex radii of curvature that satisfy the following relations:
L.sub.1 R.sub.1/R.sub.2=0.245,
L.sub.2 R.sub.3/R.sub.4=2.047,
L.sub.3 R.sub.5/R.sub.6=0.085,
L.sub.4 R.sub.7/R.sub.8=0.957,
L.sub.5 R.sub.9/R.sub.10=0.870, and
L.sub.6 R.sub.11/R.sub.12=4.904.
(251) The aspheric coefficients for the surfaces of the lens components in lens system 910 in the example embodiment are listed in Table 9B. Configuring lens system 910 according to the arrangement of the power distribution of the lens components, and adjusting the radii of curvature and aspheric coefficient as shown in Tables 9A and 9B, the total track length (TTL), of the lens system 910 may be reduced (e.g., to 5.799 mm as shown in Table 9A). Aberration of the system may effectively be corrected to obtain optical performance of high image quality resolution, for object scene at infinity in a small form factor f/2.0 lens system 910.
(252)
(253) The lens system 1010 forms an image at the surface of a photosensor 1018. In some embodiments, an infrared (IR) filter 1016 may be located between the sixth lens component L.sub.6 1006 and the photosensor 1018.
(254) An aperture stop (AS) 1014 is applied to the image side plano surface of the planar substrate 1022. The aperture stop 1014 may be a fixed aperture stop in the form of a material applied to the planar substrate 1022 to provide a transparent opening, such as a circular opening, centered on the optical axis. In another embodiment, a thin film layer 1014 of conductive organic or inorganic material may be deposited on the planar substrate 1022, on the circular area inscribed by the circular opening, to provide an aperture stop in the form of an electrochromic lens component having variable light transmittance in response to an applied electrical voltage. The electrochromic lens component 1014 may provide a central transparent opening that can be adjusted by an applied voltage that provides a variable intensity profile distribution across the aperture opening for the light energy transmitted through the optical system. The central transparent opening may be adjustable in size and/or a light intensity profile distribution provided across the aperture stop diameter for the light transmitted through the optical system.
(255) Tables 10A and 10B provide example values of various optical and physical parameters of an example embodiment of the lens system 1010 as illustrated in
(256) Tables 10A and 10B may be referred to as providing an optical prescription for a lens system 1010. The optical prescription in Tables 10A and 10B is for lens system 1010 with an effective focal length f of 4.10 mm at 555 nm wavelength, a focal ratio of f/2.2, with 74.0 degrees FOV, TTL of 5.500 mm, and with TTL/f equal to 1.3415. Lens system 1010 is a compact imaging system designed for visible spectrum covering 1070 nm to 650 nm.
(257) The wafer lens component L.sub.1 1001 may be composed of a planar substrate 1022 and a layer laminate 1024 of UV curable polymeric or plastic materials (with refractive indices and Abbe numbers listed in Table 10A) formed using known manufacturing methods such as casting, molding, or microlithographic process on the planar substrate. The remaining five lens components L.sub.2, L.sub.3, L.sub.4, L.sub.5, and L.sub.6 1002-1006 of the lens system 1010 may be composed of plastic materials with refractive indices and Abbe numbers as listed in Table 10A.
(258) The lens system 1010 as specified in Tables 10A and 10B is configured to correct optical aberrations as described above for the lens system 110 specified by the optical prescription in Tables 1A and 1B.
(259)
(260)
(261) In the example embodiment of the lens system 1010 as described by the optical prescription in Tables 10A and 10B, the refractive powers of the lens components are distributed such that the ratios of the focal lengths of the lens component relative to the system focal length f are as follows:
|f.sub.1/f|=2.120,
|f.sub.2/f|=1.693,
|f.sub.3/f|=1.358,
|f.sub.4/f|=1.578,
|f.sub.5/f|=25.632, and
|f.sub.6/f|=1.849.
(262) The lens components have vertex radii of curvature that satisfy the following relations:
L.sub.2 R.sub.3/R.sub.4=1.650,
L.sub.3 R.sub.5/R.sub.6=1.865,
L.sub.4 R.sub.7/R.sub.8=0.584,
L.sub.5 R.sub.9/R.sub.10=1.005, and
L.sub.6 R.sub.11/R.sub.12=1.794.
(263) The aspheric coefficients for the surfaces of the lens components in lens system 1010 in the example embodiment are listed in Table 10B. Configuring lens system 1010 according to the arrangement of the power distribution of the lens components, and adjusting the radii of curvature and aspheric coefficient as shown in Tables 10A and 10B, the total track length (TTL), of the lens system 1010 may be reduced (e.g., to 5.500 mm as shown in Table 10A). Aberration of the system may effectively be corrected to obtain optical performance of high image quality resolution, for object scene at infinity in a small form factor f/2.20 lens system 1010.
(264)
(265) The lens system 1110 forms an image at the surface of a photosensor 1118. In some embodiments, an infrared (IR) filter 1116 may be located between the sixth lens component L.sub.6 1106 and the photosensor 1118.
(266) An aperture stop (AS) 1114 is applied to the image side plano surface of the planar substrate 1122. The aperture stop 1114 may be a fixed aperture stop in the form of a material applied to the planar substrate 1122 to provide a transparent opening, such as a circular opening, centered on the optical axis. In another embodiment, a thin film layer 1114 of conductive organic or inorganic material may be deposited on the planar substrate 1122, on the circular area inscribed by the circular opening, to provide an aperture stop in the form of an electrochromic lens component having variable light transmittance in response to an applied electrical voltage. The electrochromic lens component 1114 may provide a central transparent opening that can be adjusted by an applied voltage that provides a variable intensity profile distribution across the aperture opening for the light energy transmitted through the optical system. The central transparent opening may be adjustable in size and/or a light intensity profile distribution provided across the aperture stop diameter for the light transmitted through the optical system.
(267) Tables 11A and 11B provide example values of various optical and physical parameters of an example embodiment of the lens system 1110 as illustrated in
(268) Tables 11A and 11B may be referred to as providing an optical prescription for a lens system 1110. The optical prescription in Tables 11A and 11B is for lens system 1110 with an effective focal length f of 4.10 mm at 555 nm wavelength, a focal ratio of f/2.00, with 74.0 degrees FOV, TTL of 5.500 mm, and with TTL/f equal to 1.3415. Lens system 1110 is a compact imaging system designed for visible spectrum covering 1170 nm to 650 nm.
(269) The wafer lens component L.sub.1 1101 may be composed of a planar substrate 1122 and a layer laminate 1124 of UV curable polymeric or plastic materials (with refractive indices and Abbe numbers listed in Table 11A) formed using known manufacturing methods such as casting, molding, or microlithographic process on the planar substrate. The remaining five lens components L.sub.2, L.sub.3, L.sub.4, L.sub.5, and L.sub.6 1102-1106 of the lens system 1110 may be composed of plastic materials with refractive indices and Abbe numbers as listed in Table 11A.
(270) The lens system 1110 as specified in Tables 11A and 11B is configured to correct optical aberrations as described above for the lens system 110 specified by the optical prescription in Tables 1A and 1B.
(271)
(272)
(273) In the example embodiment of the lens system 1110 as described by the optical prescription in Tables 11A and 11B, the refractive powers of the lens components are distributed such that the ratios of the focal lengths of the lens component relative to the system focal length f are as follows:
|f.sub.1/f|=2.161,
|f.sub.2/f|=1.627,
|f.sub.3/f|=1.483,
|f.sub.4/f|=2.285,
|f.sub.5/f|=2.229, and
|f.sub.6/f|=1.090.
(274) The lens components have vertex radii of curvature that satisfy the following relations:
L.sub.2 R.sub.3/R.sub.4=1.492,
L.sub.3 R.sub.5/R.sub.6=2.091,
L.sub.4 R.sub.7/R.sub.8=0.184,
L.sub.5 R.sub.9/R.sub.10=0.605, and
L.sub.6 R.sub.11/R.sub.12=2.611.
(275) The aspheric coefficients for the surfaces of the lens components in lens system 1110 in the example embodiment are listed in Table 11B. Configuring lens system 1110 according to the arrangement of the power distribution of the lens components, and adjusting the radii of curvature and aspheric coefficient as shown in Tables 11A and 11B, the total track length (TTL), of the lens system 1110 may be reduced (e.g., to 5.500 mm as shown in Table 11A). Aberration of the system may effectively be corrected to obtain optical performance of high image quality resolution, for object scene at infinity in a small form factor f/2.00 lens system 1110.
(276) The following Tables provide lens prescriptions for the exemplary embodiments of the lens systems as described herein and illustrated in
(277) In the Tables, all dimensions are in millimeters unless otherwise specified. A positive radius indicates that the center of curvature is to the image side of the surface. A negative radius indicates that the center of curvature is to the object side of the surface. INF stands for infinity (as used in optics). ASP indicates an aspheric surface, and FLT indicates a flat surface. The thickness (or separation) is the axial distance from the intersection of a surface with the optical axis to the intersection of the next surface with the optical axis. The design wavelengths represent wavelengths in the spectral band of the imaging system.
(278) For materials of the lens elements, window, wafer substrate, and IR filter, a refractive index N.sub.d at the helium d-line wavelength is provided, as well as an Abbe number V.sub.d relative to the d-line and the C- and F-lines of hydrogen. The Abbe number, V.sub.d, may be defined by the equation:
V.sub.d=(N.sub.d1)/(N.sub.FN.sub.C), where N.sub.F and N.sub.C are refractive index values of the material at the F and C lines of hydrogen, respectively.
(279) Referring to the Tables of aspheric constants (Tables 1B, 2B, 3B, 4B, 5B, 6B, 7B, 8B, and 9B), the aspheric equation describing an aspherical surface may be given by:
(280)
(281) Note that the values given in the following Tables for the various parameters in the various embodiments of the lens system are given by way of example and are not intended to be limiting. For example, one or more of the parameters for one or more of the surfaces of one or more of the lens elements in the example embodiments, as well as parameters for the materials of which the elements are composed, may be given different values while still providing similar performance for the lens system. In particular, note that some of the values in the Tables may be scaled up or down for larger or smaller implementations of a camera using an embodiment of a lens system as described herein.
(282) Further note that the surface numbers (S.sub.i) of the elements in the various embodiments of the lens system as shown in the Tables are listed from the first surface 0 at the object plane to the last surface at the image plane. Since number and location of element may vary in embodiments, the surface number(s) that correspond to some elements may vary in the different Tables. For example, in the first sets of Tables (e.g., Tables 1A, 2A, 3A, 5A, 7A), the aperture stop is surface 2, and a dummy surface 3, and the first lens element has surfaces 4 and 5. However, in Tables 4A, 6A, 8A, and 9A, the location of the aperture stop is different, and thus the surface numbers are different in the Tables. For example, in Tables 4A, and 6A, the aperture stop is surface 5, while in Tables 8A, and 9A, the aperture stop is surface 6. In particular, note that where reference is given to the radius of curvature (R.sub.i) of the surfaces of the lens element in this document, the reference (R.sub.i) used (e.g., R.sub.1 and R.sub.2 for the surfaces of the first lens component are the same for all of the embodiments. But these surface numbers may, but do not necessarily, correspond to the surface numbers of the lens components as given in the Tables.
(283) While certain exemplary embodiments have been described and shown in the accompanying drawings, it is to be understood that such embodiments are merely illustrative of and not restrictive on the broad invention, and that this invention is not limited to the specific constructions and arrangements shown and described, since various other modifications may occur to those of ordinary skill in the art. The description is thus to be regarded as illustrative instead of limiting.
(284) TABLE-US-00001 TABLE 1A Optical data for embodiment 1 shown in FIGS. 1-3 f = 4.10 mm, Fno = 1.80, HFOV = 38.8 deg, TTL = 5.802 mm S.sub.i Component R.sub.i Shape D.sub.i Material N.sub.d V.sub.d f.sub.l 0 Object plane INF FLT INF 1 INF FLT 0.1000 2 Aperture Stop INF FLT 0.1000 3 INF FLT 0.0000 4 L.sub.1 3.478 ASP 0.8415 Plastic 1.535 56.3 3.72 5 4.306 ASP 0.1000 6 L.sub.2 4.988 ASP 0.3000 Plastic 1.642 22.4 5.86 7 2.104 ASP 0.4351 8 L.sub.3 7.382 ASP 0.5546 Plastic 1.545 55.9 9.77 9 18.849 ASP 0.2000 10 L.sub.4 1.808 ASP 0.6199 Plastic 1.545 55.9 24.44 11 1.785 ASP 0.1000 12 L.sub.5 1.977 ASP 0.7213 Plastic 1.545 55.9 11.34 13 2.529 ASP 0.5800 14 L.sub.6 341.527 ASP 0.4500 Plastic 1.642 22.4 4.84 15 3.102 ASP 0.2061 16 IR filter INF FLT 0.2000 Glass 1.516 64.1 17 INF FLT 0.4939 18 Image plane INF FLT 0.0000 S.sub.i: surface i R.sub.i: radius of surface i D.sub.i: distance between surface i and surface i + 1 along optical axis N.sub.d: index of refraction for material relative to d-line V.sub.d: Abbe number for material relative to d-line f.sub.l: focal length of lens component Design wavelengths: 650 nm, 610 nm, 555 nm, 510 nm, 470 nm
(285) TABLE-US-00002 TABLE 1B Aspheric coefficients for embodiment 1 S.sub.i c K A B C 4 0.28750410 0 1.22660E02 1.80348E02 8.08814E03 5 0.23224629 0 4.28982E03 2.40772E02 1.11635E03 6 0.20046644 0 8.50145E02 9.78919E02 9.90679E02 7 0.47535388 0 1.39210E01 1.37842E01 1.12006E01 8 0.13546629 0 8.18461E02 4.04755E03 1.22742E02 9 0.05305431 0 3.23811E03 4.31370E02 3.77823E03 10 0.55324600 0 2.37318E01 1.80644E01 1.02618E01 11 0.56017071 0 5.80029E02 1.93666E02 1.93259E02 12 0.50575673 0 1.05377E01 1.23054E02 9.55660E04 13 0.39535762 0 2.31359E02 1.18798E02 2.60935E03 14 0.00292803 0 1.34742E02 8.07593E03 3.73454E03 15 0.32234908 0 5.40835E02 3.85873E03 9.11372E05 S.sub.i D E F 4 6.44199E03 5 2.73123E04 6 4.40673E02 6.92648E03 1.21333E04 7 4.57428E02 7.89421E03 3.54635E04 8 4.18908E04 7.97154E04 9 2.55378E02 9.41971E03 9.45106E04 10 2.72490E02 3.17547E03 3.16218E05 11 3.46939E03 1.39817E03 5.70189E04 12 3.51103E03 1.48264E03 2.16652E04 13 2.32234E04 9.11350E06 14 6.33816E04 3.80461E05 15 1.46169E05 2.49181E06
(286) TABLE-US-00003 TABLE 2A Optical data for embodiment 2 shown in FIGS. 4-6 f = 4.10 mm, Fno = 1.75, HFOV = 38.8 deg, TTL = 5.801 mm S.sub.i Component R.sub.i Shape D.sub.i Material N.sub.d V.sub.d f.sub.l 0 Object plane INF FLT INF 1 INF FLT 0.1000 2 Aperture Stop INF FLT 0.1000 3 INF FLT 0.0000 4 L.sub.1 3.438 ASP 0.8418 Plastic 1.545 55.9 3.83 5 4.907 ASP 0.1000 6 L.sub.2 4.537 ASP 0.3000 Plastic 1.642 22.4 5.87 7 2.015 ASP 0.4246 8 L.sub.3 5.775 ASP 0.5758 Plastic 1.545 55.9 9.27 9 39.746 ASP 0.2000 10 L.sub.4 1.817 ASP 0.6089 Plastic 1.545 55.9 25.46 11 1.797 ASP 0.1000 12 L.sub.5 1.993 ASP 0.7202 Plastic 1.545 55.9 11.04 13 2.595 ASP 0.5800 14 L.sub.6 69.926 ASP 0.4500 Plastic 1.642 22.4 4.97 15 3.066 ASP 0.2072 16 IR filter INF FLT 0.2000 Glass 1.516 64.1 17 INF FLT 0.4928 18 Image plane INF FLT 0.0000 S.sub.i: surface i R.sub.i: radius of surface i D.sub.i: distance between surface i and surface i + 1 along optical axis N.sub.d: index of refraction for material relative to d-line V.sub.d: Abbe number for material relative to d-line f.sub.l: focal length of lens component Design wavelengths: 650 nm, 610 nm, 555 nm, 510 nm, 470 nm
(287) TABLE-US-00004 TABLE 2B Aspheric coefficients for embodiment 2 S.sub.i c K A B C 4 0.29089657 0 1.15067E02 1.34184E02 4.86021E03 5 0.20380403 0 1.09377E02 2.73701E02 2.28406E03 6 0.22040692 0 7.37741E02 9.37532E02 1.05396E01 7 0.49632890 0 1.34247E01 1.39273E01 1.20138E01 8 0.17315303 0 7.97668E02 1.19479E02 3.80387E03 9 0.02515947 0 9.13996E03 3.69218E02 2.39618E03 10 0.55039144 0 2.23858E01 1.67729E01 1.01546E01 11 0.55634823 0 5.87339E02 1.91706E02 2.06234E02 12 0.50179782 0 9.74163E02 1.21856E02 1.76657E03 13 0.38530949 0 1.63365E02 1.31735E02 2.60935E03 14 0.01430073 0 1.90327E02 8.09167E03 3.97263E03 15 0.32614741 0 5.81269E02 4.43093E03 2.35110E04 S.sub.i D E F 4 4.37215E03 5 1.81393E05 6 5.13700E04 9.45393E03 4.93946E04 7 5.14475E02 9.92644E03 6.51872E04 8 2.50503E03 8.80993E04 9 2.09979E02 7.54139E03 7.22142E04 10 2.93636E02 3.85890E03 9.28392E05 11 3.85223E03 1.44144E03 5.65440E04 12 3.07175E03 1.34454E03 1.95675E04 13 1.84749E04 1.21334E05 14 6.39122E04 3.59974E05 15 4.49751E05 4.47194E06
(288) TABLE-US-00005 TABLE 3A Optical data for embodiment 3 shown in FIGS. 7-9 f = 4.10 mm, Fno = 1.80, HFOV = 38.8 deg, TTL = 5.8 mm S.sub.i Component R.sub.i Shape D.sub.i Material N.sub.d V.sub.d f.sub.l 0 Object plane INF FLT INF 1 INF FLT 0.1450 2 Aperture Stop INF FLT 0.1450 3 INF FLT 0.0000 4 L.sub.1 wafer lens 3.264 ASP 0.2655 Polymer 1.514 54.6 4.22 5 L.sub.1 substrate INF FLT 0.2100 Glass 1.459 67.9 6 L.sub.1 wafer lens INF FLT 0.2961 Polymer 1.514 54.6 7 5.997 ASP 0.1000 8 L.sub.2 4.123 ASP 0.3000 Plastic 1.642 22.4 6.41 9 2.009 ASP 0.4160 10 L.sub.3 7.034 ASP 0.7531 Plastic 1.545 55.9 8.10 11 11.508 ASP 0.2000 12 L.sub.4 1.819 ASP 0.5294 Plastic 1.545 55.9 26.40 13 1.782 ASP 0.1000 14 L.sub.5 1.908 ASP 0.7100 Plastic 1.545 55.9 10.56 15 2.474 ASP 0.6200 16 L.sub.6 143.732 ASP 0.4000 Plastic 1.642 22.4 4.56 17 3.014 ASP 0.1617 18 IR filter INF FLT 0.2000 Glass 1.516 64.1 19 INF FLT 0.5383 20 Image plane INF FLT 0.0000 S.sub.i: surface i R.sub.i: radius of surface i D.sub.i: distance between surface i and surface i + 1 along optical axis N.sub.d: index of refraction for material relative to d-line V.sub.d: Abbe number for material relative to d-line f.sub.l: focal length of lens component Design wavelengths: 650 nm, 610 nm, 555 nm, 510 nm, 470 nm
(289) TABLE-US-00006 TABLE 3B Aspheric coefficients for embodiment 3 S.sub.i c K A B C 4 0.30636552 0 5.49659E04 1.94135E02 1.46062E02 7 0.16674053 0 4.44902E03 4.58763E03 1.71930E02 8 0.24256094 0 1.11588E01 1.21961E01 1.28328E01 9 0.49771381 0 1.58419E01 1.52120E01 1.41908E01 10 0.14216545 0 6.45028E02 1.19684E02 2.51976E03 11 0.08689695 0 6.58575E04 4.36637E02 9.87431E03 12 0.54974671 0 2.39432E01 1.97502E01 1.12117E01 13 0.56129680 0 6.03550E02 2.08599E02 2.47274E02 14 0.52416039 0 1.19833E01 1.91819E02 3.09786E03 15 0.40414921 0 2.45426E02 1.31263E02 2.60935E03 16 0.00695738 0 3.03299E02 4.85877E03 3.83284E03 17 0.33179200 0 7.00772E02 8.42318E03 1.05602E03 S.sub.i D E F 4 8.40756E03 7 4.12375E03 8 5.08025E02 5.83535E03 1.15956E04 9 6.71637E02 1.60902E02 1.68568E03 10 3.87681E03 1.03184E03 11 2.44840E02 8.92772E03 9.75016E04 12 2.84359E02 2.74025E03 5.99208E05 13 5.27760E03 9.41927E04 4.80805E04 14 4.79025E03 2.27861E03 3.54821E04 15 1.39902E04 2.80100E05 16 7.61052E04 5.05100E05 17 1.36618E04 8.92466E06
(290) TABLE-US-00007 TABLE 4A Optical data for embodiment 4 shown in FIGS. 10-12 f = 4.10 mm, Fno = 1.80, HFOV = 38.8 deg, TTL = 5.8 mm S.sub.i Component R.sub.i Shape D.sub.i Material N.sub.d V.sub.d f.sub.l 0 Object plane INF FLT INF 1 INF FLT 0.0000 2 INF FLT 0.0000 3 INF FLT 0.0000 4 L.sub.1 wafer lens 3.264 ASP 0.2655 Polymer 1.514 54.6 4.22 5 Aperture stop INF FLT 0.2100 Glass 1.459 67.9 L.sub.1 substrate 0.0000 6 L.sub.1 wafer lens INF FLT 0.2961 Polymer 1.514 54.6 7 5.997 ASP 0.1000 8 L.sub.2 4.123 ASP 0.3000 Plastic 1.642 22.4 6.41 9 2.009 ASP 0.4160 10 L.sub.3 7.034 ASP 0.7531 Plastic 1.545 55.9 8.10 11 11.508 ASP 0.2000 12 L.sub.4 1.819 ASP 0.5294 Plastic 1.545 55.9 26.40 13 1.782 ASP 0.1000 14 L.sub.5 1.908 ASP 0.7100 Plastic 1.545 55.9 10.56 15 2.474 ASP 0.6200 16 L.sub.6 143.732 ASP 0.4000 Plastic 1.642 22.4 4.56 17 3.014 ASP 0.1617 18 IR filter INF FLT 0.2000 Glass 1.516 64.1 19 INF FLT 0.5383 20 Image plane INF FLT 0.0000 S.sub.i: surface i R.sub.i: radius of surface i D.sub.i: distance between surface i and surface i + 1 along optical axis N.sub.d: index of refraction for material relative to d-line V.sub.d: Abbe number for material relative to d-line f.sub.l: focal length of lens component Design wavelengths: 650 nm, 610 nm, 555 nm, 510 nm, 470 nm
(291) TABLE-US-00008 TABLE 4B Aspheric coefficients for embodiment 4 S.sub.i c K A B C 4 0.30636552 0 5.49659E04 1.94135E02 1.46062E02 7 0.16674053 0 4.44902E03 4.58763E03 1.71930E02 8 0.24256094 0 1.11588E01 1.21961E01 1.28328E01 9 0.49771381 0 1.58419E01 1.52120E01 1.41908E01 10 0.14216545 0 6.45028E02 1.19684E02 2.51976E03 11 0.08689695 0 6.58575E04 4.36637E02 9.87431E03 12 0.54974671 0 2.39432E01 1.97502E01 1.12117E01 13 0.56129680 0 6.03550E02 2.08599E02 2.47274E02 14 0.52416039 0 1.19833E01 1.91819E02 3.09786E03 15 0.40414921 0 2.45426E02 1.31263E02 2.60935E03 16 0.00695738 0 3.03299E02 4.85877E03 3.83284E03 17 0.33179200 0 7.00772E02 8.42318E03 1.05602E03 S.sub.i D E F 4 8.40756E03 7 4.12375E03 8 5.08025E02 5.83535E03 1.15956E04 9 6.71637E02 1.60902E02 1.68568E03 10 3.87681E03 1.03184E03 11 2.44840E02 8.92772E03 9.75016E04 12 2.84359E02 2.74025E03 5.99208E05 13 5.27760E03 9.41927E04 4.80805E04 14 4.79025E03 2.27861E03 3.54821E04 15 1.39902E04 2.80100E05 16 7.61052E04 5.05100E05 17 1.36618E04 8.92466E06
(292) TABLE-US-00009 TABLE 5A Optical data for embodiment 5 shown in FIGS. 13-15 f = 4.10 mm, Fno = 1.80, HFOV = 38.8 deg, TTL = 5.809 mm S.sub.i Component R.sub.i Shape D.sub.i Material N.sub.d V.sub.d f.sub.l 0 Object plane INF FLT INF 1 INF FLT 0.1500 2 Aperture Stop INF FLT 0.1500 3 INF FLT 0.0000 4 L.sub.1 wafer lens 3.536 ASP 0.2502 Polymer 1.514 54.6 4.44 5 L.sub.1 substrate INF FLT 0.2000 Glass 1.523 54.5 6 L.sub.1 wafer lens INF FLT 0.3000 Polymer 1.514 54.6 7 5.987 ASP 0.1011 8 L.sub.2 3.767 ASP 0.3000 Plastic 1.642 22.4 6.62 9 1.942 ASP 0.4589 10 L.sub.3 6.162 ASP 0.6772 Plastic 1.545 55.9 7.30 11 10.884 ASP 0.2303 12 L.sub.4 1.818 ASP 0.5769 Plastic 1.545 55.9 26.04 13 1.793 ASP 0.1000 14 L.sub.5 1.925 ASP 0.7145 Plastic 1.545 55.9 10.95 15 2.466 ASP 0.7000 16 L.sub.6 60.978 ASP 0.3000 Plastic 1.642 22.4 4.46 17 3.034 ASP 0.2064 18 IR filter INF FLT 0.2000 Glass 1.516 64.1 19 INF FLT 0.4936 20 Image plane INF FLT 0.0000 S.sub.i: surface i R.sub.i: radius of surface i D.sub.i: distance between surface i and surface i + 1 along optical axis N.sub.d: index of refraction for material relative to d-line V.sub.d: Abbe number for material relative to d-line f.sub.l: focal length of lens component Design wavelengths: 650 nm, 610 nm, 555 nm, 510 nm, 470 nm
(293) TABLE-US-00010 TABLE 5B Aspheric coefficients for embodiment 5 S.sub.i c K A B C 4 0.28280877 0 1.50475E03 1.40582E02 9.69797E03 7 0.16701613 0 1.39148E02 6.91190E03 1.75341E02 8 0.26544972 0 1.04295E01 1.12965E01 1.21551E01 9 0.51486288 0 1.59244E01 1.44680E01 1.30340E01 10 0.16228073 0 5.69215E02 4.72225E06 1.13604E02 11 0.09188138 0 1.18962E02 4.90515E02 5.17486E03 12 0.55011630 0 2.49732E01 1.96532E01 1.09648E01 13 0.55778804 0 6.74387E02 2.69490E02 2.34045E02 14 0.51943600 0 1.09990E01 9.30399E03 2.30891E03 15 0.40559696 0 2.69307E02 1.23070E02 2.60935E03 16 0.01639926 0 3.57117E02 4.58896E03 3.87766E03 17 0.32960394 0 7.50685E02 9.06250E03 9.94141E04 S.sub.i D E F 4 6.08580E03 7 4.69879E03 8 4.71812E02 6.53804E03 4.94216E04 9 5.62430E02 1.07063E02 6.53201E04 10 1.31272E03 2.22092E04 11 2.57927E02 9.36247E03 9.75016E04 12 2.84398E02 3.08408E03 1.01345E05 13 4.94994E03 1.05322E03 5.22163E04 14 5.92646E03 2.17124E03 3.07418E04 15 2.16879E04 1.45797E05 16 7.37169E04 4.68569E05 17 1.17801E04 7.78831E06
(294) TABLE-US-00011 TABLE 6A Optical data for embodiment 6 shown in FIGS. 16-18 f = 4.10 mm, Fno = 1.80, HFOV = 38.8 deg, TTL = 5.809 mm S.sub.i Component R.sub.i Shape D.sub.i Material N.sub.d V.sub.d f.sub.l 0 Object plane INF FLT INF 1 INF FLT 0.0000 2 INF FLT 0.0000 3 INF FLT 0.0000 4 L.sub.1 wafer lens 3.536 ASP 0.2502 Polymer 1.514 54.6 4.44 5 Aperture stop INF FLT 0.2000 Glass 1.523 54.5 L.sub.1 substrate 0.0000 6 L.sub.1 wafer lens INF FLT 0.3000 Polymer 1.514 54.6 7 5.987 ASP 0.1011 8 L.sub.2 3.767 ASP 0.3000 Plastic 1.642 22.4 6.62 9 1.942 ASP 0.4589 10 L.sub.3 6.162 ASP 0.6772 Plastic 1.545 55.9 7.30 11 10.884 ASP 0.2303 12 L.sub.4 1.818 ASP 0.5769 Plastic 1.545 55.9 26.04 13 1.793 ASP 0.1000 14 L.sub.5 1.925 ASP 0.7145 Plastic 1.545 55.9 10.95 15 2.466 ASP 0.7000 16 L.sub.6 60.978 ASP 0.3000 Plastic 1.642 22.4 4.46 17 3.034 ASP 0.2064 18 IR filter INF FLT 0.2000 Glass 1.516 64.1 19 INF FLT 0.4936 20 Image plane INF FLT 0.0000 S.sub.i: surface i R.sub.i: radius of surface i D.sub.i: distance between surface i and surface i + 1 along optical axis N.sub.d: index of refraction for material relative to d-line V.sub.d: Abbe number for material relative to d-line f.sub.l: focal length of lens component Design wavelengths: 650 nm, 610 nm, 555 nm, 510 nm, 470 nm
(295) TABLE-US-00012 TABLE 6B Aspheric coefficients for embodiment 6 S.sub.i c K A B C 4 0.28280877 0 1.50475E03 1.40582E02 9.69797E03 7 0.16701613 0 1.39148E02 6.91190E03 1.75341E02 8 0.26544972 0 1.04295E01 1.12965E01 1.21551E01 9 0.51486288 0 1.59244E01 1.44680E01 1.30340E01 10 0.16228073 0 5.69215E02 4.72225E06 1.13604E02 11 0.09188138 0 1.18962E02 4.90515E02 5.17486E03 12 0.55011630 0 2.49732E01 1.96532E01 1.09648E01 13 0.55778804 0 6.74387E02 2.69490E02 2.34045E02 14 0.51943600 0 1.09990E01 9.30399E03 2.30891E03 15 0.40559696 0 2.69307E02 1.23070E02 2.60935E03 16 0.01639926 0 3.57117E02 4.58896E03 3.87766E03 17 0.32960394 0 7.50685E02 9.06250E03 9.94141E04 S.sub.i D E F 4 6.08580E03 7 4.69879E03 8 4.71812E02 6.53804E03 4.94216E04 9 5.62430E02 1.07063E02 6.53201E04 10 1.31272E03 2.22092E04 11 2.57927E02 9.36247E03 9.75016E04 12 2.84398E02 3.08408E03 1.01345E05 13 4.94994E03 1.05322E03 5.22163E04 14 5.92646E03 2.17124E03 3.07418E04 15 2.16879E04 1.45797E05 16 7.37169E04 4.68569E05 17 1.17801E04 7.78831E06
(296) TABLE-US-00013 TABLE 7A Optical data for embodiment 7 shown in FIGS. 19-21 f = 4.10 mm, Fno = 2.00, HFOV = 38.9 deg, TTL = 5.75 mm S.sub.i Component R.sub.i Shape D.sub.i Material N.sub.d V.sub.d f.sub.l 0 Object plane INF FLT INF 1 INF FLT 0.1000 2 Aperture Stop INF FLT 0.1000 3 INF FLT 0.0000 4 L.sub.1 2.927 ASP 0.7540 Plastic 1.545 55.9 3.94 5 7.462 ASP 0.1004 6 L.sub.2 21.63 ASP 0.3200 Plastic 1.642 22.4 7.13 7 3.783 ASP 0.4857 8 L.sub.3 6.353 ASP 0.5760 Plastic 1.545 55.9 103.38 9 6.928 ASP 0.2314 10 L.sub.4 3.056 ASP 0.6505 Plastic 1.545 55.9 7.05 11 1.833 ASP 0.1001 12 L.sub.5 2.06 ASP 0.7118 Plastic 1.545 55.9 11.55 13 2.683 ASP 0.6000 14 L.sub.6 12.755 ASP 0.3200 Plastic 1.642 22.4 4.00 15 3.283 ASP 0.3497 16 IR filter INF FLT 0.2000 Glass 1.516 64.1 17 INF FLT 0.3503 18 Image plane INF FLT 0.0000 S.sub.i : surface i R.sub.i: radius of surface i D.sub.i: distance between surface i and surface i + 1 along optical axis N.sub.d: index of refraction for material relative to d-line V.sub.d: Abbe number for material relative to d-line f.sub.l: focal length of lens component Design wavelengths: 650 nm, 610 nm, 555 nm, 510 nm, 470 nm
(297) TABLE-US-00014 TABLE 7B Aspheric coefficients for embodiment 7 S.sub.i c K A B C 4 0.34170254 0 5.24592E03 2.52093E02 2.22410E02 5 0.13401359 0 5.67166E02 4.22624E02 4.90450E02 6 0.04623186 0 1.23909E01 1.62520E01 1.52104E01 7 0.26435256 0 1.16169E01 1.44632E01 1.18920E01 8 0.15739955 0 1.23371E01 2.90183E02 4.96919E03 9 0.14433149 0 2.17615E02 5.58962E02 2.12051E02 10 0.32725905 0 1.84854E01 1.69669E01 6.37742E02 11 0.54569396 0 2.49552E02 1.15589E02 3.66118E03 12 0.48554219 0 1.13966E01 5.14297E03 1.17551E03 13 0.37272941 0 3.63398E02 5.76586E03 1.71744E03 14 0.07840018 0 1.42030E02 2.40083E04 3.96810E04 15 0.30461492 0 5.17864E02 3.77687E03 6.71947E05 S.sub.i D E F 4 1.74366E02 5 1.05678E02 6 6.24354E02 7.57519E03 7 5.13912E02 8.26591E03 8 4.57293E04 9 2.21788E03 5.98601E04 10 9.07999E03 2.28743E04 11 1.75784E03 12 6.47208E04 13 2.36109E04 14 6.89044E05 15 2.40595E05
(298) TABLE-US-00015 TABLE 8A Optical data for embodiment 8 shown in FIGS. 22-24 f = 4.10 mm, Fno = 2.00, HFOV = 37.0 deg, TTL = 5.799 mm S.sub.i Component R.sub.i Shape D.sub.i Material N.sub.d V.sub.d f.sub.l 0 Object plane INF FLT INF 1 INF FLT 0.0000 2 INF FLT 0.0000 3 INF FLT 0.0000 4 L.sub.1w.sub.1 wafer lens 3.602 ASP 0.2500 Polymer 1.514 54.6 5.71 5 L.sub.1w.sub.1 substrate INF FLT 0.2000 Glass 1.523 54.5 6 Aperture stop INF FLT 0.0300 EC* 1.472 65.5 7 L.sub.1w.sub.2 substrate INF FLT 0.2000 Glass 1.523 54.5 8 L.sub.1w.sub.2 wafer lens INF FLT 0.1800 Polymer 1.514 54.6 9 14.733 ASP 0.1000 10 L.sub.2 3.108 ASP 0.3000 Plastic 1.636 23.9 5.01 11 1.519 ASP 0.1000 12 L.sub.3 2.054 ASP 0.8551 Plastic 1.545 55.9 3.80 13 146.849 ASP 0.4522 14 L.sub.4 1.509 ASP 0.4698 Plastic 1.545 55.9 59.78 15 1.601 ASP 0.0500 16 L.sub.5 2.142 ASP 0.8256 Plastic 1.545 55.9 16.61 17 2.422 ASP 0.3702 18 L.sub.6 19.579 ASP 0.5165 Plastic 1.651 21.5 5.90 19 3.201 ASP 0.2941 20 IR filter INF FLT 0.2000 Glass 1.516 64.1 21 INF FLT 0.4059 22 Image plane INF FLT S.sub.i: surface i R.sub.i: radius of surface i D.sub.i: distance between surface i and surface i + 1 along optical axis N.sub.d: index of refraction for material relative to d-line V.sub.d: Abbe number for material relative to d-line f.sub.l: focal length of lens component *EC: electrochromic media, modeled data, exact data unavailable Design wavelengths: 650 nm, 610 nm, 555 nm, 510 nm, 470 nm
(299) TABLE-US-00016 TABLE 8B Aspheric coefficients for embodiment 8 S.sub.i c K A B C 4 0.27762165 0 1.53046E02 8.81942E03 3.94984E04 9 0.06787259 0 3.00793E02 1.15440E01 6.60296E02 10 0.32175841 0 9.75184E03 6.65000E02 2.02022E02 11 0.65851378 0 1.61474E01 1.03269E01 9.69970E02 12 0.48678203 0 9.82156E02 5.69474E02 1.58593E02 13 0.00680969 0 1.59563E02 5.08762E02 2.21621E02 14 0.66259823 0 2.42440E01 2.41260E01 1.39617E01 15 0.62449088 0 6.43812E02 5.81055E02 2.94540E02 16 0.46675448 0 1.42411E01 2.31785E02 1.45856E02 17 0.41280238 0 4.85666E02 1.23605E02 4.79435E03 18 0.05107600 0 7.24467E02 2.03904E02 9.89985E04 19 0.31240283 0 9.72346E02 2.07161E02 2.06560E03 S.sub.i D E F 4 1.84415E03 9 1.47681E02 1.06832E04 10 2.69213E03 1.85232E03 11 4.36120E02 9.94064E03 12 2.38579E04 13 5.45726E03 14 3.45297E02 4.26712E03 15 1.16857E03 16 6.01874E03 1.34223E03 17 6.37472E04 18 3.64897E04 3.40631E05 19 6.29097E05
(300) TABLE-US-00017 TABLE 9A Optical data for embodiment 9 shown in FIGS. 25-27 f = 4.10 mm, Fno = 1.80, HFOV = 38.8 deg, TTL = 5.802 mm S.sub.i Component R.sub.i Shape D.sub.i Material N.sub.d V.sub.d f.sub.l 0 Object plane INF FLT INF 1 INF FLT 0.0000 2 INF FLT 0.0000 3 INF FLT 0.0000 4 L.sub.1w.sub.1 wafer lens 3.602 ASP 0.2500 Polymer 1.514 54.6 5.71 5 L.sub.1w.sub.1 substrate INF FLT 0.2000 Glass 1.523 54.5 6 Aperture stop INF FLT 0.0300 EC* 1.472 65.5 7 L.sub.1w.sub.2 substrate INF FLT 0.2000 Glass 1.523 54.5 8 L.sub.1w.sub.2 wafer lens INF FLT 0.1800 Polymer 1.514 54.6 9 14.733 ASP 0.1000 10 L.sub.2 3.097 ASP 0.3000 Plastic 1.636 23.9 4.99 11 1.513 ASP 0.1000 12 L.sub.3 1.969 ASP 0.8551 Plastic 1.545 55.9 3.88 13 23.261 ASP 0.4281 14 L.sub.4 1.543 ASP 0.4698 Plastic 1.545 55.9 44.98 15 1.609 ASP 0.0500 16 L.sub.5 2.19 ASP 0.8256 Plastic 1.545 55.9 16.33 17 2.516 ASP 0.3939 18 L.sub.6 14.835 ASP 0.5165 Plastic 1.651 21.5 5.89 19 3.025 ASP 0.2941 20 IR filter INF FLT 0.2000 Glass 1.516 64.1 21 INF FLT 0.4059 22 Image plane INF FLT S.sub.i: surface i R.sub.i: radius of surface i D.sub.i: distance between surface i and surface i + 1 along optical axis N.sub.d: index of refraction for material relative to d-line V.sub.d: Abbe number for material relative to d-line f.sub.l: focal length of lens component *EC: electrochromic media, modeled data, exact data unavailable Design wavelengths: 650 nm, 610 nm, 555 nm, 510 nm, 470 nm
(301) TABLE-US-00018 TABLE 9B Aspheric coefficients for embodiment 9 S.sub.i c K A B C 4 0.27762165 0 1.61133E02 6.12050E03 1.40968E03 9 0.06787259 0 2.73873E02 1.20496E+00 7.48179E02 10 0.32291254 0 1.68170E02 6.27849E02 1.83515E02 11 0.66076459 0 1.70112E01 1.03415E01 9.49920E02 12 0.50778700 0 1.07302E01 5.48757E02 1.74288E02 13 0.04298967 0 2.32408E02 4.98282E02 2.36758E02 14 0.64788520 0 2.51197E01 2.33783E01 1.40417E01 15 0.62167595 0 6.23081E02 5.26817E02 2.74941E02 16 0.45651821 0 1.42448E01 2.21766E02 1.49025E02 17 0.39744364 0 4.42719E02 1.66528E02 6.54516E03 18 0.06740787 0 7.53034E02 1.53727E02 5.64255E04 19 0.33063134 0 1.04407E01 2.13734E02 2.23191E03 S.sub.i D E F 4 1.54698E03 9 1.87366E02 1.06824E04 10 6.11101E03 3.89990E03 11 4.29889E02 9.96789E03 12 6.93913E04 13 5.97372E03 14 3.51704E02 3.87289E03 15 1.20392E03 16 6.57234E03 1.53369E03 17 8.90249E04 18 5.00299E04 1.35185E05 19 6.63282E05
(302) TABLE-US-00019 TABLE 10A Optical data for embodiment 10 shown in FIGS. 28-30 f = 4.10 mm, Fno = 2.20, HFOV = 37.0 deg, TTL = 5.500 mm S.sub.i Component R.sub.i Shape D.sub.i Material N.sub.d V.sub.d f.sub.l 0 Object plane INF FLT INF 1 INF FLT 0.0000 2 INF FLT 0.0000 3 INF FLT 0.0000 4 L1 wafer lens 4.478 ASP 0.2000 Polymer 1.514 54.6 8.69 5 L1 substrate INF FLT 0.2000 Glass 1.523 54.5 6 Aperture stop INF FLT 0.1000 7 L2 9.759 ASP 0.5177 Plastic 1.535 56.3 6.94 8 5.915 ASP 0.1001 9 L3 2.884 ASP 0.3001 Plastic 1.651 21.5 5.57 10 1.546 ASP 0.2844 11 L4 5.506 ASP 0.7508 Plastic 1.552 55.9 6.47 12 9.433 ASP 0.5684 13 L5 3.116 ASP 0.5181 Plastic 1.552 55.9 105.09 14 3.101 ASP 0.3071 15 L6 2.503 ASP 0.7539 Plastic 1.552 55.9 7.58 16 1.395 ASP 0.3500 17 IR filter INF FLT 0.2000 Glass 1.516 64.1 18 INF FLT 0.3500 19 Image plane INF FLT S.sub.i: surface i R.sub.i: radius of surface i D.sub.i: distance between surface i and surface i + 1 along optical axis N.sub.d: index of refraction for material relative to d-line V.sub.d: Abbe number for material relative to d-line f.sub.l: focal length of lens component Design wavelengths: 650 nm, 610 nm, 555 nm, 510 nm, 470 nm
(303) TABLE-US-00020 TABLE 10B Aspheric coefficients for embodiment 10 S.sub.i c K A B C 4 0.22331141 0 2.16361E02 1.62943E03 2.20577E03 7 0.10246718 0 1.34699E02 2.19748E02 8.03120E03 8 0.16905894 0 4.88659E02 1.03574E01 6.07549E02 9 0.34673568 0 5.23701E02 7.61703E03 4.37841E03 10 0.64691942 0 1.48485E01 1.00325E01 1.05525E01 11 0.18160645 0 2.65234E02 4.25966E02 2.05494E02 12 0.10600724 0 5.50676E02 6.70601E03 2.69608E02 13 0.32095787 0 2.35762E03 8.58559E02 4.01230E02 14 0.32250676 0 2.05244E02 5.45955E02 2.05671E02 15 0.39950240 0 2.11619E01 6.92158E02 7.38029E03 16 0.71701343 5.04077888 7.81914E02 2.25263E02 4.35741E03 S.sub.i D E F 4 5.89599E04 7 3.23003E03 8 1.40560E02 9 1.36806E02 1.28286E04 2.29763E03 10 5.74088E02 1.13118E02 1.17832E03 11 3.99115E03 4.30409E03 1.59654E03 12 9.98028E03 2.24427E03 2.55090E03 13 1.60232E02 3.18830E03 3.78718E04 14 2.81978E03 5.17012E05 2.02126E05 15 1.89401E04 1.00294E04 2.23299E05 16 4.44412E04 1.82311E05
(304) TABLE-US-00021 TABLE 11A Optical data for embodiment 11 shown in FIGS. 31-33 f = 4.10 mm, Fno = 2.00, HFOV = 37.0 deg, TTL = 5.500 mm S.sub.i Component R.sub.i Shape D.sub.i Material N.sub.d V.sub.d f.sub.l 0 Object plane INF FLT INF 1 INF FLT 0.0000 2 INF FLT 0.0000 3 INF FLT 0.0000 4 L1 wafer lens 4.565 ASP 0.2000 Polymer 1.514 54.6 8.86 5 L1 substrate INF FLT 0.2000 Glass 1.523 54.5 6 Aperture stop INF FLT 0.1000 7 L2 8.824 ASP 0.5299 Plastic 1.535 56.3 6.67 8 5.914 ASP 0.1000 9 L3 4.111 ASP 0.3000 Plastic 1.651 21.5 6.08 10 1.966 ASP 0.5047 11 L4 6.027 ASP 0.6550 Plastic 1.552 55.9 9.37 12 32.798 ASP 0.4444 13 L5 2.172 ASP 0.4040 Plastic 1.552 55.9 9.14 14 3.589 ASP 0.4888 15 L6 3.504 ASP 0.6734 Plastic 1.552 55.9 4.47 16 1.342 ASP 0.3500 17 IR filter INF FLT 0.2000 Glass 1.516 64.1 18 INF FLT 0.3500 19 Image plane INF FLT S.sub.i: surface i R.sub.i: radius of surface i D.sub.i: distance between surface i and surface i + 1 along optical axis N.sub.d: index of refraction for material relative to d-line V.sub.d: Abbe number for material relative to d-line f.sub.l: focal length of lens component Design wavelengths: 650 nm, 610 nm, 555 nm, 510 nm, 470 nm
(305) TABLE-US-00022 TABLE 11B Aspheric coefficients for embodiment 11 S.sub.i c K A B C 4 0.21904221 0 3.53205E02 7.40469E03 2.35244E04 7 0.11332407 0 5.62394E02 4.52245E02 8.03545E03 8 0.16908705 0 4.17862E02 1.08919E01 5.55381E02 9 0.24325145 0 1.18168E01 1.12603E04 1.95298E03 10 0.50853109 0 1.83974E01 1.10144E01 9.96899E02 11 0.16593012 0 4.17040E02 3.45716E02 1.41134E02 12 0.03048947 0 9.28217E02 2.80591E02 7.80852E03 13 0.46037044 0 2.61662E03 7.42071E02 3.44516E02 14 0.27865523 0 8.02350E02 8.10489E02 2.28301E02 15 0.28542276 0 2.17443E01 7.12621E02 7.16745E03 16 0.74529479 5.0919178 8.43477E02 2.62584E02 5.11070E03 S.sub.i D E F 4 7 1.38925E03 7.71100E03 8 1.86905E02 3.38142E04 9 1.42282E02 3.81412E03 3.92806E05 10 6.41426E02 2.16768E02 2.76549E03 11 2.87396E03 5.11498E03 1.07184E03 12 5.46666E03 3.95604E05 7.41611E04 13 1.63290E02 4.36408E03 5.02876E04 14 2.66925E03 5.23517E05 2.73421E06 15 3.12518E04 1.03896E04 2.90063E05 16 4.69322E04 1.28516E05 3.04910E07