High performance lenses

Abstract

High performance lens system designs are described. The lens system has four lens groups, is made entirely of spherical lens elements, and, includes selected lens elements made of materials with high refractive index and Abbe numbers and coefficient of thermal expansion that provide stable high performance across wide and rapid temperature changes. Group descriptions and parametric equations enable creation of designs having fields of view ranging from 50 to 150 degrees.

Claims

1. An optical lens for imaging, said lens having an effective focal length, a field of view, and optical axis and an image plane, and, said optical lens comprising: a. four lens groups located along the optical axis in order from object to image group 1, group 2, group 3, and, group 4, each group having an effective focal length, and, b. group 1 has negative power consisting of one or two lens elements, all lens elements in group 1 have negative power, and, 1.6=<F1/F=<0.8, where F is the effective focal length of the optical lens, F1 is the effective focal length of group 1, and, c. group 2 has positive power comprising 1 to 3 elements, and, d. group 3 comprises a meniscus lens, and, a cemented doublet or a cemented triplet, the cemented doublet or cemented triplet having at least one positive element, and, where at least one of the at least one positive element is made of material having an Abbe number greater than 63, and, e. group 4 has positive power comprising 1 to 3 elements.

2. The optical lens of claim 1 that satisfies the parametric equations:
1.5=<F2/F=<3.5a.
2.=<|F3/F|b.
1.=<F4/F=<3.5c.
3=<F4/F1=<0.6d.
0.3=<F4/F2=<2.5e. where F is the effective focal length of the optical lens, F1 is the effective focal length of group 1, F2 is the effective focal length of group 2, F3 is the effective focal length of group 3, and, F4 is the effective focal length of group 4.

3. An optical lens for imaging, said lens having an effective focal length, a field of view, and optical axis and an image plane, and, said optical lens comprising: a. four lens groups located along the optical axis in order from object to image group 1, group 2, group 3, and, group 4, each group having an effective focal length, and, b. group 1 has negative power consisting of one or two lens elements, and, lens elements in group 1 have negative power, and, c. group 2 has positive power comprising 1 to 3 elements, and, d. group 3 comprises a meniscus lens, and, a cemented doublet or a cemented triplet, the cemented doublet or cemented triplet having at least one positive element, and, where at least one of the at least one positive element is made of material having a negative dn/dT, where n is the index of refraction of the material at d-line, and T is a temperature of an environment containing the optical lens, and, e. group 4 has positive power comprising 1 to 3 elements.

4. The optical lens of claim 3 where group 3 comprises a cemented doublet or a cemented triplet, the cemented doublet or cemented triplet having at least one positive element, and, where at least one of the at least one positive element is made of material having an Abbe number greater than 63.

5. The optical lens of claim 3 that satisfies the parametric equations:
1.6=<F1/F=<0.8a. where F is the effective focal length of the optical lens, F1 is the effective focal length of group 1.

6. The optical lens of claim 3 that satisfies the parametric equations:
2=<F1/F=<0.8a.
1.5=<F2/F=<3.5b.
2.=<1F3/F1c.
1.=<F4/F=<3.5d.
3=<F4/F1=<0.6e.
0.3=<F4/F2=<2.5f. where F is the effective focal length of the optical lens, F1 is the effective focal length of group 1, F2 is the effective focal length of group 2, F3 is the effective focal length of group 3, and, F4 is the effective focal length of group 4.

7. An optical lens for imaging, said optical lens having an effective focal length, and, an optical axis, and, said optical lens consisting of: a. four lens groups located along the optical axis in order from object to image group 1, group 2, group 3, and, group 4, each lens group having an effective focal length, and, b. group 1 has negative power consisting of one or two lens elements, and, all lens elements in group 1 have negative power, and, c. group 2 has positive power consisting of 1 to 3 elements, and, d. group 3 consists of a cemented doublet or a cemented triplet, the cemented doublet or cemented triplet having at least one positive element, and, having an Abbe number greater than 63 and a negative do/dT, where n is the index of refraction of the material at d-line, and T is a temperature of an environment containing the optical lens, and, e. group 4 has positive power consisting of 1 to 3 elements, and, f. the optical lens satisfies the parametric equations:
2=<F1/F=<0.8i.
1.5=<F2/F=<3.5ii.
2.=<|F3/F|iii.
1.=<F4/F=<3.5iv.
3=<F4/F1=<0.6v.
0.3=<F4/F2=<2.5vi. where F is the effective focal length of the optical lens, F1 is the effective focal length of group 1, F2 is the effective focal length of group 2, F3 is the effective focal length of group 3, and, F4 is the effective focal length of group 4.

8. The optical lens of claim 7 that satisfies the parametric equations:
1.6=<F1/F=<0.8a. where F is the effective focal length of the optical lens, F1 is the effective focal length of group 1.

Description

BRIEF DESCRIPTION OF THE DRAWINGS

(1) FIG. 1 is a diagram of a first embodiment of the high performance lens.

(2) FIG. 2 is a diagram of a second embodiment of the high performance lens.

(3) FIG. 3 is a diagram of a third embodiment of the high performance lens.

(4) FIG. 4 is a diagram of a fourth embodiment of the high performance lens.

(5) FIG. 5 is a diagram of a fifth embodiment of the high performance lens.

(6) FIG. 6 is a diagram of a sixth embodiment of the high performance lens.

(7) FIG. 7 is a diagram of a seventh embodiment of the high performance lens.

(8) FIG. 8 is a diagram of an eighth embodiment of the high performance lens.

(9) FIG. 9 is a diagram of a ninth embodiment of the high performance lens.

(10) FIG. 10 is a diagram of a tenth embodiment of the high performance lens.

(11) FIG. 11 is a diagram of an eleventh embodiment of the high performance lens.

(12) FIG. 12 is a diagram of a twelfth embodiment of the high performance lens.

DETAILED DESCRIPTION OF THE INVENTION

(13) The description of the lens elements as flat, convex or concave refers to the curvature at this point on the lens surface that intersects the optical axis. The term lens refers to the lens system that is comprised of a plurality of lens elements. Each lens element by itself is also known in the literature as a lens. Here, lens system may refer to the multi-component system or an individual lens element within the lens system. In all cases the meaning will be clear from context and form reference numbers.

(14) Referring to FIG. 1 an invented lens system 101 is shown. The lens system 101 is shown in a cross-sectional profile, as are all of the subsequent lens system designs. The lens system 101 is centered on the optical axis 114. The lens system is oriented such that the object side is to the left and the image side is to the right. The lens or lens system 101 is comprised of a plurality of lens elements 102-106 and 108-110 and includes an aperture stop 107. The image plane 113 is at the right edge of the lens system. It is the location of an optical imaging device such as a CCD or CMOS imagers to convert optical images into electronic signals as are known in the art. The particular example of FIG. 1 includes, from object to image, four lens groups 117-120. There are four groups from the object side to the image side (left to right):

(15) 1) Group 1 has negative power comprising two elements 102, 103.

(16) 2) Group 2 has positive power comprising 1 to 3 elements, in this case a single lens element 104.

(17) 3) Group 3 comprises at least cemented doublet or cemented triplet, where the positive element of the doublet is made of lowa low material having Abbe number greater or equal to 63. In preferred embodiments, group 3 includes two cemented doublets with the aperture stop between them. In this specific example, two cemented doublets are included 105, 106 and 108, 109 low. The first positive element 106 has an index of refraction of 1.59 and an Abbe number of 68.6 a d the second positive element has an index of refraction of 1.46 and an Abbe number of 90.2. In a preferred embodiment, at least one of the positive elements 106, 108 of the doublet or triplet is made of an optical material having a negative do/dT over the operating temperature range, where n is the index of refraction of the material at d-line, and T is the temperature of the environment. Such materials may include FCD505 and FCD10A glasses made by Hoya Optical glasses. An aperture stop 107 is embedded in this group. In preferred embodiment the aperture stop is on the object side of the triplet or embedded within a pair of doublets. In this case the aperture stop is embedded in the pair of cemented doublets.

(18) 4) Group 4 has positive power comprising 1 to 3 elements, in this case a single lens element 110 comprises group 4.

(19) Further details of this first example include, the first lens group 117 is comprised of two lens elements 102, 103. The first lens element 102 has a convex object surface 115 and a concave image surface 116. The second lens element 103 is, in this example, a biconcave lens element. The second lens group 118 is comprised of a single lens element 104. The third lens group 119 is comprised of two cemented doublets 105, 106 and 108, 109. There is an aperture stop 107 located between the cemented doublets. The fourth lens group 120 is comprised of a single lens element 110. All of the lens elements are situated symmetrically along the optical axis 114 of the lens system 101. An optional cover glass 112 for the imaging device located at the image plane 113 is also included. The lens system of FIG. 1 satisfies the general description discussed above of a lens system with four lens groups and satisfies all of the parametric equations 1-6. The detailed parameters for each of the lens elements of this first example are shown in Table 1. Similarly details for each of the subsequent included in FIGS. 2-12 are presented in the same format in subsequent tables 2-12 respectively. Each of the lens examples include a specification for each lens element. The specification includes material properties such as index of refraction and Abbe number as well as surface curvature, thickness of the lens elements and spacing between lens elements The radius of curvature for each lens element is measured at the intersection of each surface with the optical axis 114. Surfaces are numbered consecutively from object to image. Thus surface 1 is the first surface 115 of the first lens element 102. Surface 2 is the second or image side surface 116 of the same lens element. Surface 3 is the first, object side, surface (not labeled) of the second lens element 103 and so forth through all elements of the lens system 101. Thickness is defined as the distance from the surface to the next labeled surface measured along the optical axis 114. For example, in the Table 1 the thickness of the first lens element 102, the distance between the first surface 115 and the second surface 116 of that lens element, and is 1.00 mm. The distance from the image side surface 116 to object side surface of the second lens element is 8.06 mm. Nd in Table 1 is the index of refraction, and, Abbe # is the Abbe Number for the lens element corresponding to the designated surface at 578 nm (d-line). For example, the index of refraction of the first lens element 102 is 1.44 and the Abbe Number of the first element 102 is 95.10. The values for Radius and Thickness values are all given in mm. The values may be scaled by the effective focal length and the design may therefore be scaled for a lens of any focal length. The table of parameters for all subsequent examples uses the same format as shown in table 1.

(20) Specific examples satisfying the description of the invented high performance lenses follow. Each of the examples represent a wide angle lens with a field of view of between 50 and 140 degrees, are comprised of four lens groups as described above, satisfy equation 1-6, include no aspherical elements or plastic lens elements, and, include at least one lens element with a high Abbe number.

(21) Examples 1-6 show lens systems that satisfy the design parameters including the description of the four lens groups and the parametric equations 1-6 and have a field of view between 97 and 145 degrees.

(22) Examples 7-12 show lens systems that satisfy the design parameters including the description of the four lens groups and the parametric equations 1-6 and have a field of view of 51 degrees.

(23) The particular designs are provided as examples. Designs satisfying the description including the parametric equations can be made with any lens angle between 50 and 150 degrees.

Example 1

(24) FIG. 1 shows the layout of Example 1. The design is, as already discussed above, comprised of, from object to image, of four lens groups. The first lens group 117 has two negative lens elements 102, 103, the second lens group 118 is comprised of a single positive lens element 104. The third lens group 119 is comprised of a pair of cemented doublets. The first includes lens elements 105, 106 and the second includes the two lens elements 108, 109. An aperture stop 107 is situated between the two cemented doublets of the third lens group. At least one positive element of the cemented doublets of the third lens group is made of materials having a high abbe number and has a negative coefficient for the change of refractive index (D-line) versus temperature. In this case positive lens element 108 is made from material having a high Abbe number (90.2) and a negative do/dT. The fourth lens group 120 includes a single positive lens element 110. This design has a field of view of 94, with a relative aperture of F/1.8. Table 1 shows the optical specification for this first example. The surfaces are numbered as already described. The radiuses of curvature are measured at the optical axis 114. The column Lens Element refers to the numbered lens elements of FIG. 1. The conic constant for all surfaces in this example and all others is 0. The surfaces in all of the examples are spherical surfaces. The EFL of this example 1 is 10.2 mm. The conditional expressions (1) through (6) are satisfied.

(25) TABLE-US-00001 TABLE 1 The optical prescription of Example 1. Lens Surface Radius Thickness Nd Abbe# Element 1 69.14 1.01 1.44 95.10 102 2 11.69 8.06 3 25.16 0.46 1.44 95.10 103 4 15.36 11.73 5 37.44 3.63 1.95 32.32 104 6 57.14 12.27 7 45.75 0.50 1.67 32.17 105 8 25.01 3.17 1.59 68.62 106 9 21.20 0.06 STO Infinity 0.08 11 31.12 3.65 1.46 90.19 108 12 14.68 0.48 1.85 23.78 109 13 45.39 14.14 14 29.73 2.80 2.00 29.13 110 15 2031.60 12.11 16 Infinity 0.70 1.52 64.21 17 Infinity 0.40 IMA Infinity

Example 2

(26) FIG. 2 shows the layout of Example 2. This design has a field of view of 97 with a relative aperture of F/1.8.

(27) There are four groups in lens system 201 of Example 2 comprising, from the object side to the image side (left to right): 1) Group 1 has negative power and consists of two negative power elements 202, 203. 2) Group 2 has positive power comprising 1 to 3 elements, in this example Group 2 is comprised of two lens elements 204, 205. 3) In this particular example Group 3 is comprised of a pair of cemented doublets 206, 207 and 209, 210 with an aperture stop 208 embedded between the doublets. There is no optional meniscus element in this example. The positive elements 207, 209 of the cemented doublets are made from a material having low dispersion properties in that the index of refraction and Abbe number of the first positive element 207 are 1.59 and 68.6 respectively and the index of refraction and Abbe number of the positive element 209 of the second doublet are also 1.59 and 68.6 respectively. Both positive lens elements 207, 209 have a negative value for do/dT. 4) Group 4 has positive power comprising 1 to 3 elements. In this case group 4 is comprised of a single element 211.

(28) The lens elements are all arranged symmetrically about the optical axis 215. The design further includes an optional optical filter 212 and a cover 213 covering an image sensor located at the focal plane 214. Optical filters and cover glasses for the image sensor are optionally added after the fourth lens group.

(29) The lens system satisfies equations 1-6.

(30) The specific lens parameters for Example 2 are included in Table 2 using the same form as already described for Table 1.

(31) TABLE-US-00002 TABLE 2 The optical prescription of Example 2. Lens Surface Radius Thickness Nd Abbe# Element 1 49.32 2.04 1.55 75.50 202 2 13.41 9.45 3 36.86 0.72 1.52 64.21 203 4 17.53 19.41 5 58.43 5.01 1.95 32.32 204 6 52.14 3.22 7 19.93 5.01 1.78 25.72 205 8 24.39 6.05 9 226.55 0.49 1.85 23.79 206 10 13.46 3.67 1.59 68.62 207 11 34.34 0.09 STO Infinity 0.10 13 29.13 3.34 1.59 68.62 209 14 14.90 0.56 1.85 23.79 210 15 206.55 11.53 16 28.73 2.55 1.95 17.94 211 17 Infinity 1.00 18 Infinity 0.50 1.52 64.21 19 Infinity 9.24 20 Infinity 0.70 1.52 64.21 21 Infinity 0.40 IMA Infinity

Example 3

(32) FIG. 3 shows the layout of Example 3. This design has a field of view of 97.5 with a relative aperture of F/1.8.

(33) There are four groups in lens system 301 of Example 3 comprising, along the optical axis 316, from the object side to the image side (left to right): 1) Group 1 has negative power consisting of two negative power elements 302, 303. 2) Group 2 has positive power comprising 1 to 3 elements, in this example Group 2 is comprised of two lens elements 304, 305. 3) In this particular example Group 3 is comprised of a pair of cemented doublets 306, 307 and 309, 310 with an aperture stop 308 embedded between the doublets. There is no optional meniscus element in this example. The positive elements 307, 309 of the cemented doublets are made from a material having low dispersion properties in that the index of refraction and Abbe number of the first positive element 307 are 1.55 and 75.5 respectively and the index of refraction and Abbe number of the positive element 309 of the second doublet are 1.59 and 68.6 respectively. Both positive elements 307, 309 have a negative value for do/dT. 4) Group 4 has positive power comprising 1 to 3 elements. In this case group 4 is comprised of a two elements 311, 312.

(34) The lens elements are all arranged symmetrically about the optical axis 316. The design further includes an optional optical filter 313 and a cover 314 covering an image sensor located at the focal plane 315.

(35) The lens system satisfies equations 1-6.

(36) The specific lens parameters for Example 3 are included in Table 3 using the same form as already described for Table 1.

(37) TABLE-US-00003 TABLE 3 The optical prescription of Example 3. Lens Surface Radius Thickness Nd Abbe# Element 1 66.41 0.99 1.55 75.50 302 2 11.76 8.32 3 19.49 0.73 1.52 64.21 303 4 21.66 10.77 5 146.95 5.02 1.95 32.32 304 6 30.98 1.58 7 22.66 2.36 1.78 25.72 305 8 43.14 8.83 9 46.23 0.49 1.85 23.79 306 10 14.84 3.83 1.55 75.50 307 11 28.74 0.10 STO Infinity 0.09 13 22.67 3.31 1.59 68.62 309 14 14.99 3.72 1.85 23.79 310 15 22.03 8.92 16 35.64 2.01 1.62 63.41 311 17 137.86 0.07 18 32.06 3.11 1.95 17.94 312 19 126.74 1.00 20 Infinity 0.50 1.52 64.21 21 Infinity 8.23 22 Infinity 0.70 1.52 64.21 23 Infinity 0.40 IMA Infinity

Example 4

(38) FIG. 4 shows the layout of Example 4. This design has a field of view of 97.6 with a relative aperture of F/1.8.

(39) There are four groups in lens system 401 of Example 4 comprising, along the optical axis 415, from the object side to the image side (left to right): 1) Group 1 has negative power consisting of two negative power elements 402, 403. 2) Group 2 has positive power comprising 1 to 3 elements; in this example Group 2 is comprised of two lens elements 404, 405. 3) In this particular example Group 3 is comprised of a pair of cemented doublets 406, 407 and 409, 410 with an aperture stop 408 embedded between the doublets. There is no optional meniscus element in this example. The positive elements 407, 409 of the cemented doublets are made from a material having low dispersion properties in that the index of refraction and Abbe number of the first positive element 407 are 1.62 and 63.4, respectively, and, the index of refraction and Abbe number of the positive element 409 of the second doublet are 1.62 and 63.4, respectively. Both positive lens elements 407, 409 have a negative value for do/dT. 4) Group 4 has positive power comprising 1 to 3 elements. In this case group 4 is comprised of one element 411.

(40) The lens elements are all arranged symmetrically about the optical axis 415. The design further includes an optional optical filter 412 and a cover 413 covering an image sensor located at the focal plane 414.

(41) The lens system satisfies equations 1-6.

(42) The specific lens parameters for Example 4 are included in Table 4 using the same form as already described for Table 1.

(43) TABLE-US-00004 TABLE 4 The optical prescription of Example 4. Lens Surface Radius Thickness Nd Abbe# Element 1 45.91 2.00 1.62 63.41 402 2 12.68 10.45 3 29.15 0.75 1.52 64.21 403 4 18.04 13.76 5 54.61 4.90 1.95 32.32 404 6 44.66 3.00 7 20.39 4.90 1.78 25.72 405 8 25.96 5.45 9 Infinity 1.45 1.85 23.79 406 10 14.27 3.38 1.62 63.41 407 11 31.55 0.10 STO Infinity 0.10 13 30.69 4.90 1.62 63.41 409 14 12.71 2.00 1.85 23.79 410 15 Infinity 9.65 16 28.38 2.75 1.95 17.94 411 17 Infinity 2.00 18 Infinity 0.50 1.52 64.21 19 Infinity 7.50 20 Infinity 0.70 1.52 64.21 21 Infinity 0.40 IMA Infinity

Example 5

(44) FIG. 5 shows the layout of Example 5. This design has a field of view of 145 with a relative aperture of F/2.

(45) There are four groups in lens system 501 of Example 5 comprising, along the optical axis 514, from the object side to the image side (left to right): 1) Group 1 has negative power and consists of two negative power lens elements 502, 503. 2) Group 2 has positive power comprising 1 to 3 elements; in this example Group 2 is comprised of three lens elements 504, 505, 506. 3) In this particular example Group 3 is comprised of a cemented doublet 509, 510 and positive lens element 508. An aperture stop 507 is adjacent to lens group 3. There is no optional meniscus element in this example. The positive element 509 of the cemented doublet is made from a material having low dispersion properties in that the index of refraction and Abbe number of the positive element 509 of the doublet are 1.62 and 63.4, respectively. The value of do/dT for the positive element 509 is negative. 4) Group 4 has positive power comprising 1 to 3 elements. In this case group 4 is comprised of one positive lens element 511.

(46) The lens elements are all arranged symmetrically about the optical axis 514. The design a cover 512 covering an image sensor located at the focal plane 513.

(47) The lens system satisfies equations 1-6.

(48) The specific lens parameters for Example 5 are included in Table 5 using the same form as already described for Table 1.

(49) TABLE-US-00005 TABLE 5 The optical prescription of Example 5. Lens Surface Radius Thickness Nd Abbe# Element 1 74.06 1.24 1.83 37.23 502 2 11.39 4.85 3 32.33 1.21 1.74 49.24 503 4 14.59 10.35 5 15.04 7.02 2.00 25.44 504 6 19.87 0.30 7 37.09 3.96 1.80 46.57 505 8 73.04 0.10 9 16.11 4.25 1.74 44.90 506 10 19.39 8.76 STO Infinity 0.00 12 26.33 1.98 1.59 68.62 508 13 46.69 0.10 14 13.77 3.03 1.62 63.41 509 15 9.91 0.40 1.85 23.79 510 16 13.81 5.24 17 30.24 6.34 1.81 33.29 511 18 31.51 4.72 19 Infinity 0.80 1.52 64.21 20 Infinity 0.40 IMA Infinity

Example 6

(50) FIG. 6 shows the layout of Example 6. This design has a field of view of 145 with a relative aperture of F/2.

(51) There are four groups in lens system 601 of Example 6 comprising, along the optical axis 614, from the object side to the image side (left to right): 1) Group 1 has negative power and consists of two negative power lens elements 602, 603. 2) Group 2 has positive power comprising 1 to 3 elements; in this example Group 2 is comprised of three lens elements 604, 605, 606. 3) In this particular example Group 3 is comprised of a cemented doublet 609, 610 and positive lens element 608. An aperture stop 607 is adjacent to lens group 3. There is no optional meniscus element in this example. The positive element 609 of the cemented doublet is made from a material having low dispersion properties in that the index of refraction and Abbe number of the positive element 609 of the doublet are 1.59 and 68.6, respectively. The positive element 609 has a negative value for do/dT. 4) Group 4 has positive power comprising 1 to 3 elements. In this case group 4 is comprised of one element 611.

(52) The lens elements are all arranged symmetrically about the optical axis 614. The design a cover 612 covering an image sensor located at the focal plane 613.

(53) The lens system satisfies equations 1-6.

(54) The specific lens parameters for Example 6 are included in Table 6 using the same form as already described for Table 1.

(55) TABLE-US-00006 TABLE 6 The optical prescription of Example 6. Lens Surface Radius Thickness Nd Abbe# Element 1 75.26 1.22 1.79 47.52 602 2 12.07 5.09 3 32.45 1.30 1.70 55.53 603 4 13.08 10.13 5 15.54 6.99 2.00 28.44 604 6 20.82 0.18 7 36.04 4.30 1.80 46.57 605 8 59.20 0.30 9 15.12 2.06 1.72 47.92 606 10 19.82 9.87 STO Infinity 0.00 12 36.57 1.79 1.59 68.62 608 13 46.01 0.16 14 14.83 3.02 1.59 68.62 609 15 9.80 0.40 1.85 23.79 610 16 15.89 4.62 17 33.95 6.58 2.00 28.44 611 18 37.12 5.29 19 Infinity 0.70 1.52 64.21 20 Infinity 1.00 IMA Infinity

Example 7

(56) FIG. 7 shows the layout of Example 7. This design has a field of view of 51 with a relative aperture of F/1.8.

(57) There are four groups in lens system 701 of Example 7 comprising, along the optical axis 715, from the object side to the image side (left to right): 1) Group 1 has negative power consisting of one negative power element 702. 2) Group 2 has positive power comprising 1 to 3 elements; in this example Group 2 is comprised of three lens elements 703, 704, 705. 3) In this particular example Group 3 is comprised of a cemented triplet 707, 708, 709. An aperture stop 706 is adjacent to lens group 3. There is no optional meniscus element in this example. The positive element 709 of the cemented triplet is made from a material having low dispersion properties in that the index of refraction and Abbe number are 1.50 and 81.6, respectively. Positive element 709 has a negative value for do/dT. 4) Group 4 has positive power comprising 1 to 3 elements. In this case group 4 is comprised of three elements 710, 711, 712.

(58) The lens elements are all arranged symmetrically about the optical axis 715. The design includes a cover 713 covering an image sensor located at the focal plane 714.

(59) The lens system satisfies equations 1-6.

(60) The specific lens parameters for Example 7 are included in Table 7 using the same form as already described for Table 1.

(61) TABLE-US-00007 TABLE 7 The optical prescription of Example 7. Lens Surface Radius Thickness Nd Abbe# Element 1 107.48 0.55 1.49 70.44 702 2 14.79 5.46 3 15.96 4.38 1.90 37.37 703 4 19.80 0.06 5 37.31 2.74 2.00 25.46 704 6 240.33 5.00 7 19.99 5.73 1.95 17.98 705 8 11.76 4.52 STO Infinity 0.00 10 26.29 2.53 1.80 46.50 707 11 12.19 5.13 1.85 23.78 708 12 16.35 0.53 1.50 81.56 709 13 7154.83 3.40 14 77.36 2.98 1.92 20.88 710 15 21.09 4.81 16 40.28 0.03 1.55 75.50 711 17 16.79 5.15 1.80 39.64 712 18 77.15 1.83 19 Infinity 18.49 1.52 64.21 20 Infinity 1.37 IMA Infinity 0.40

Example 8

(62) FIG. 8 shows the layout of Example 8. This design has a field of view of 51 with a relative aperture of F/1.8.

(63) There are four groups in lens system 801 of Example 8 comprising, along the optical axis 816, from the object side to the image side (left to right): 1) Group 1 has negative power consisting of one negative power element 802. 2) Group 2 has positive power comprising 1 to 3 elements; in this example Group 2 is comprised of two lens elements 803, 804. 3) In this particular example Group 3 is comprised of a cemented triplet 806, 807, 808 and positive meniscus lens element 809. An aperture stop 805 is adjacent to lens group 3. The positive element 808 of the cemented triplet is made from a material having low dispersion properties in that the index of refraction and Abbe number are 1.50 and 81.6, respectively. The positive element 808 has a negative value for do/dT. 4) Group 4 has positive power comprising 1 to 3 elements. In this case group 4 is comprised of three elements 810, 811, 812.

(64) The lens elements are all arranged symmetrically about the optical axis 816. The design includes an optional filter 813 and a cover 814 covering an image sensor located at the focal plane 815.

(65) The lens system satisfies equations 1-6.

(66) The specific lens parameters for Example 8 are included in Table 8 using the same form as already described for Table 1.

(67) TABLE-US-00008 TABLE 8 The optical prescription of Example 8. Lens Surface Radius Thickness Nd Abbe# Element 1 64.53 0.75 1.57 56.06 802 2 16.82 8.43 3 17.03 7.42 1.88 40.81 803 4 22.50 0.10 5 39.73 3.19 2.00 25.44 804 6 169.81 14.72 STO Infinity 0.00 7 70.55 2.93 1.57 56.06 806 8 33.60 0.49 1.85 23.79 807 9 18.60 4.45 1.50 81.59 808 10 30.36 0.15 11 23.80 5.03 1.74 49.24 809 12 33.02 18.76 13 41.10 2.73 2.00 25.44 810 14 118.59 0.10 15 23.28 4.62 1.50 81.59 811 16 62.49 0.72 1.73 54.67 812 17 21.53 2.00 18 Infinity 0.50 1.52 64.20 19 Infinity 6.91 20 Infinity 0.70 1.52 64.20 21 Infinity 0.40 IMA Infinity

Example 9

(68) FIG. 9 shows the layout of Example 9. This design has a field of view of 51 with a relative aperture of F/1.8.

(69) There are four groups in lens system 901 of Example 9 comprising, along the optical axis 915, from the object side to the image side (left to right): 1) Group 1 has negative power consisting of one negative power element 902. 2) Group 2 has positive power comprising 1 to 3 elements; in this example Group 2 is comprised of three lens elements 903, 904, 905. 3) In this particular example Group 3 is comprised of a cemented doublet 907, 908 and positive lens element 909. An aperture stop 906 is adjacent to lens group 3. There is no optional meniscus element in this example. The positive element 907 of the doublet is made from a material having low dispersion properties in that the index of refraction and Abbe number are 1.70 and 55.5, respectively. The value for do/dT of element 907 is positive. 4) Group 4 has positive power comprising 1 to 3 elements. In this case group 4 is comprised of three elements 910, 911, 912.

(70) The lens elements are all arranged symmetrically about the optical axis 915. The design includes an optional cover 913 covering an image sensor located at the focal plane 914.

(71) The lens system satisfies equations 1-6.

(72) The specific lens parameters for Example 9 are included in Table 9 using the same form as already described for Table 1.

(73) TABLE-US-00009 TABLE 9 The optical prescription of Example 9. Lens Surface Radius Thickness Nd Abbe# Element 1 92.68 0.54 1.49 70.44 902 2 14.47 5.04 3 18.82 6.33 1.88 40.81 903 4 23.76 0.08 5 31.87 2.82 2.00 25.46 904 6 2421.59 0.79 7 20.99 5.70 1.95 17.98 905 8 12.97 8.03 STO Infinity 0.09 10 24.26 4.37 1.70 55.46 907 11 14.00 0.55 1.85 23.78 908 12 31.37 4.78 13 35.34 4.53 1.50 81.56 909 14 27.65 0.02 15 68.42 2.49 2.10 17.02 910 16 26.46 0.06 17 40.74 5.54 1.55 75.50 911 18 15.17 0.57 1.81 40.73 912 19 195.65 20.93 20 Infinity 1.37 1.52 64.21 21 Infinity 0.46 IMA Infinity

Example 10

(74) FIG. 10 shows the layout of Example 10. This design has a field of view of 51 with a relative aperture of F/1.8.

(75) There are four groups in lens system 1001 of Example 10 comprising, along the optical axis 1015, from the object side to the image side (left to right): 1) Group 1 has negative power consisting of one negative power element 1002. 2) Group 2 has positive power comprising 1 to 3 elements; in this example Group 2 is comprised of two lens elements 1003, 1004. 3) In this particular example Group 3 is comprised of a cemented triplet 1006, 1007, 1008 and positive meniscus lens element 1009. An aperture stop 1005 is adjacent to lens group 3. The positive lens elements 1006, 1008 of the triplet are made from material having a high refractive index (1.68, 1.63) and high Abbe number 55.6 and 63.5 respectively. Positive element 1008 has a negative value for do/dT. 4) Group 4 has positive power comprising 1 to 3 elements. In this case group 4 is comprised of two elements 1010, 1011.

(76) The lens elements are all arranged symmetrically about the optical axis 1015. The design includes an optional filter 1012 and a cover 1013 covering an image sensor located at the focal plane 1014.

(77) The lens system satisfies equations 1-6.

(78) The specific lens parameters for Example 10 are included in Table 10 using the same form as already described for Table 1.

(79) TABLE-US-00010 TABLE 10 The optical prescription of Example 10. Lens Surface Radius Thickness Nd Abbe# Element 1 74.74 1.00 1.64 60.21 1002 2 17.58 7.31 3 15.23 7.50 1.76 52.33 1003 4 20.29 0.39 5 40.45 4.20 2.00 25.44 1004 6 170.45 19.13 STO Infinity 0.00 7 52.39 3.50 1.68 55.56 1006 8 23.20 0.75 1.85 23.79 1007 9 16.38 4.20 1.62 63.41 1008 10 44.93 0.10 11 17.56 6.00 1.80 46.57 1009 12 17.05 11.53 13 35.36 5.25 1.92 20.88 1010 14 18.20 2.40 1.95 32.32 1011 15 Infinity 2.00 16 Infinity 0.50 1.52 64.20 17 Infinity 8.17 18 Infinity 0.70 1.52 64.20 19 Infinity 0.40 IMA Infinity

Example 11

(80) FIG. 11 shows the layout of Example 11. This design has a field of view of 51 with a relative aperture of F/1.8.

(81) There are four groups in lens system 1101 of Example 11 comprising, along the optical axis 1115, from the object side to the image side (left to right): 1) Group 1 has negative power consisting of one negative power element 1102. 2) Group 2 has positive power comprising 1 to 3 elements; in this example Group 2 is comprised of two lens elements 1103,1104. 3) In this particular example Group 3 is comprised of a cemented triplet 1106, 1107, 1108 and positive meniscus lens element 1109. An aperture stop 1105 is adjacent to lens group 3. The positive elements 1106, 1108 of the cemented triplet are also made of materials having a high refractive index and Abbe number. The positive element 1108 has a negative value for do/dT. 4) Group 4 has positive power comprising 1 to 3 elements. In this case group 4 is comprised of two elements 1110, 1111.

(82) The lens elements are all arranged symmetrically about the optical axis 1115. The design includes an optional filter 1112 and a cover 1113 covering an image sensor located at the focal plane 1114.

(83) The lens system satisfies equations 1-6.

(84) The specific lens parameters for Example 11 are included in Table 11 using the same form as already described for Table 1.

(85) TABLE-US-00011 TABLE 11 The optical prescription of Example 11. Lens Surface Radius Thickness Nd Abbe# Element 1 172.63 1.00 1.62 58.15 1102 2 16.17 9.28 3 15.12 7.50 1.62 58.15 1103 4 20.32 0.10 5 42.41 4.20 2.00 25.44 1104 6 124.22 17.92 STO Infinity 7 139.50 3.25 1.68 55.56 1106 8 21.22 0.75 1.85 23.79 1107 9 17.48 4.20 1.62 63.41 1108 10 34.73 0.10 11 21.18 5.50 1.73 54.67 1109 12 26.16 14.39 13 30.36 3.80 1.92 20.88 1110 14 46.30 0.74 15 40.56 0.90 1.76 52.33 1111 16 56.99 4.00 17 Infinity 0.50 1.52 64.20 18 Infinity 5.80 19 Infinity 0.70 1.52 64.20 20 Infinity 0.40 IMA Infinity

Example 12

(86) FIG. 12 shows the layout of Example 12. This design has a field of view of 51 with a relative aperture of F/1.8.

(87) There are four groups in lens system 1201 of Example 12 comprising, along the optical axis 1214, from the object side to the image side (left to right): 1) Group 1 has negative power consisting of one negative power element 1202. 2) Group 2 has positive power comprising 1 to 3 elements; in this example Group 2 is comprised of two lens elements 1203, 1204. 3) In this particular example Group 3 is comprised of a cemented triplet 1206, 1207, 1208 and positive meniscus lens element 1209. An aperture stop 1205 is adjacent to lens group 3. The positive elements 1206, 1208 of the cemented triplet are also made of materials having a high refractive index and high Abbe number. Positive element 1206 has a negative value for do/dT. 4) Group 4 has positive power comprising 1 to 3 elements. In this case group 4 is comprised of two elements 1210, 1211.

(88) The lens elements are all arranged symmetrically about the optical axis 1214. The design includes an optional filter 1211 and a cover 1212 covering an image sensor located at the focal plane 1213.

(89) The lens system satisfies equations 1-6.

(90) The specific lens parameters for Example 12 are included in Table 12 using the same form as already described for Table 1.

(91) TABLE-US-00012 TABLE 12 The optical prescription of Example 12. Lens Surface Radius Thickness Nd Abbe# Element 1 246.40 1.00 1.65 33.84 1202 2 15.67 6.94 3 14.84 7.55 1.80 46.57 1203 4 19.86 3.52 5 33.80 4.24 2.00 25.44 1204 6 1196.09 17.63 STO Infinity 7 42.80 3.97 1.59 68.62 1206 8 20.41 0.75 1.85 23.79 1207 9 17.91 4.37 1.52 64.21 1208 10 29.05 0.07 11 18.31 6.11 1.92 20.88 1209 12 19.04 14.52 13 22.95 2.59 1.95 17.94 1210 14 48.28 2.00 15 Infinity 0.50 1.52 64.20 16 Infinity 7.87 17 Infinity 0.70 1.52 64.20 18 Infinity 0.40 IMA Infinity

Examples Summary

(92) The effective focal length F of the entire lens assembly, F1 of group 1, F2 of group 2, F3 of group 3 and F4 of group 4 are shown in Tables 13A and 13B. The examples in Table 13A all have an effective focal length of 10.2 or less and a field of view between 97 and 145. The examples summarized in Table 13B all have an effective focal length of about 18.5 and a field of view of about 50. All of the examples summarized in both tables 13A and 13B are described per the four lens groups and the details of each as discussed repeatedly above as well as the six parametric equations (1)-(6), repeated here for convenience.

(93) TABLE-US-00013 TABLE 13A Summary of Lens parameters for Examples 1-6 Example 1 2 3 4 5 6 F of entire lens 10.2 9.8 10.0 9.8 6.83 6.83 assembly F1 of group 1 11.3 11.8 9.5 10.2 10.1 10.4 F2 of group 2 24.2 21.7 18.6 19.7 18.8 18.1 F3 of group 3 52.8 333.3 232.1 128.2 108.1 1411 F4 of group 4 30.1 30.4 20.6 30.0 20.0 18.4 F1/F 1.1 1.2 0.9 1.0 1.48 1.52 F2/F 2.4 2.2 1.9 2.0 2.75 2.65 |F3/F| 5.2 33.8 23.1 13.1 15.83 206.6 F4/F 3.0 3.1 2.0 3.1 2.9 2.7 F4/F1 2.7 2.6 2.2 2.9 2.0 1.8 F4/F2 1.2 1.4 1.1 1.5 1.1 1.8

(94) TABLE-US-00014 TABLE 13B Summary of Lens parameters for Examples 7-12 Example 7 8 9 10 11 12 F 18.5 18.6 18.5 18.6 18.6 18.6 F1 26.6 23.4 25.6 22.2 23.7 22.7 F2 61.7 30.7 52.5 30.9 30.7 30.1 F3 124.9 105.0 41.7 79.1 79.8 82.2 F4 20.3 42.2 45.8 40.8 48.6 44.1 F1/F 1.4 1.3 1.4 1.2 1.3 1.2 F2/F 3.3 1.6 2.8 1.7 1.7 1.6 |F3/F| 6.7 5.6 2.3 4.3 4.3 4.4 F4/F 1.1 2.3 2.5 2.2 2.6 2.4 F4/F1 0.8 1.8 1.8 1.8 2.1 1.9 F4/F2 0.3 1.4 0.9 1.3 1.6 1.5

(95) The following conditions are satisfied:
2=<F1/F=<0.8(1)
1.5=<F2/F=<3.5(2)
2.=<|F3/F|(3)
1.=<F4/F=<3.5(4)
3=<F4/F1=<0.6(5)
0.2=<F4/F2=<2.(6)

(96) In preferred embodiments the following equation is satisfied by Group 1:
1.6=<F1/F=<0.8(7)

SUMMARY

(97) High performance lens system designs are described. The lens system has four lens groups, is made entirely of spherical lens elements, and, includes selected lens elements made of materials with high refractive index and Abbe numbers and coefficient of thermal expansion that provide stable high performance across wide and rapid temperature changes. Group descriptions and parametric equations enable creation of designs having fields of view ranging from 50 to 150 degrees.