Head-up display and vehicle
10222614 ยท 2019-03-05
Assignee
Inventors
Cpc classification
G02B2027/013
PHYSICS
G02B2027/011
PHYSICS
G02B2027/0118
PHYSICS
B60K35/00
PERFORMING OPERATIONS; TRANSPORTING
B60K2360/347
PERFORMING OPERATIONS; TRANSPORTING
International classification
Abstract
A refractive optical system is disposed in an optical path from a display surface to a viewing area and between a projection optical system and the viewing area. A housing receives a display device, the projection optical system, and the refractive optical system, and is provided with an opening. An opening cover has at least partially a curved portion, and is disposed in the opening so that light emitted from the display surface is incident on a convex side of the curved portion. When a light beam that is emitted from a center of the display surface and reaches a center of the viewing area is referred to as a reference light beam, a head-up display satisfies the following condition (1):
L2L1(1) where L1 is a distance from an end on the anterior side of the observer of the refractive optical system to the opening cover, and L2 is a distance from a position at which the reference light beam passes through the refractive optical system to the opening cover.
Claims
1. A head-up display comprising: a display device having a display surface for displaying an image; a projection optical system for projecting an image displayed on the display surface onto a viewing area for an observer; a refractive optical system disposed in an optical path from the display surface to the viewing area and between the projection optical system and the viewing area; a housing that has an opening and contains the display device, the projection optical system and the refractive optical system; and an opening cover that has at least partially a curved portion, and is disposed in the opening so that light emitted from the display surface is incident on a convex side of the curved portion, wherein an exit surface of the refractive optical system has a convex shape, wherein when a light beam that is emitted from a center of the display surface and reaches a center of the viewing area is referred to as a reference light beam, the head-up display satisfies the following condition (1):
L2L1(1) where L1 is a distance from an end on an anterior side of the observer on a smaller curvature surface of the refractive optical system to the opening cover, and L2 is a distance from a position at which the reference light beam passes through the smaller curvature surface of the refractive optical system to the opening cover.
2. The head-up display according to claim 1, wherein the head-up display is installed in a vehicle having a windshield and satisfies the following condition (2):
L2L3(2) where L3 is a distance from an end on a vehicle rearward side on the smaller curvature surface of the refractive optical system to the opening cover.
3. The head-up display according to claim 1, wherein the refractive optical system has a surface shape with a curvature in a longitudinal direction of a vehicle smaller than a curvature in a transverse direction of the vehicle.
4. The head-up display according to claim 1, wherein the refractive optical system has a rotationally asymmetric surface shape.
5. The head-up display according to claim 1, wherein intersection of a cross-section of the refractive optical system with an incident surface is referred to as an incident intersection line, intersection of the cross-section with an exit surface is referred to as an exit intersection line, the cross-section is perpendicular to the reference light beam, and the refractive optical system is disposed such that the reference light beam incident on the refractive optical system is inclined with respect to (i) a normal to the exit surface at a point on the exit intersection line and (ii) a normal to the incident surface at a point on the incident intersection line.
6. A vehicle comprising the head-up display according to claim 1.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
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(8)
DETAILED DESCRIPTION
(9) Exemplary embodiments will now be described in detail with reference to the drawings. Unnecessary details, however, may be omitted. For example, detailed description of well-known matters and repeated description of substantially the same structure may be omitted. This is to avoid unnecessary redundancy in the following description and to facilitate understanding by those skilled in the art.
(10) The inventor(s) provides the drawings and the following description to enable those skilled in the art to have a thorough understanding of the present disclosure, and these are not intended to limit the subject matter defined by the claims.
(11) First Exemplary Embodiment
(12) [1-1 Configuration]
(13) [1-1-1 Overall Configuration of Head-up Display]
(14) Specific exemplary embodiments and examples of head-up display 100 according to the present disclosure are described below with reference to the drawings.
(15)
(16) As illustrated in
(17)
(18) As illustrated in
(19) Here, a light beam to form the upper end of virtual image I is referred to as light beam Lu, and a light beam to form the lower end of virtual image I is referred to as light beam L1. A light beam to form the center of virtual image I (i.e., a light beam that is emitted from the center of display surface 111 and reaches the center of viewing area 300) is referred to as reference light beam Lc. The viewpoint of observer D is assumed to be in the center of viewing area 300.
(20) Housing 140 is provided with opening 130. Opening 130 is provided with a transparent opening cover. This opening cover has a curved shape. Therefore, external light, such as, for example, sunlight reflected on the opening cover, is difficult to reach observer D. Lens shaped opening cover allows the magnification of virtual image I to be adjusted. Housing 140 is not essential in head-up display 100 according to the first exemplary embodiment, and dashboard 210 of vehicle 200 may be substituted for housing 140.
(21) Projection optical system 120 includes first mirror 121 and second mirror 122. An image displayed on display surface 111 is reflected by first mirror 121, then reflected by second mirror 122, refracted through refractive optical system 160, and further reflected by windshield 220 to reach viewing area 300, and virtual image I is viewed by observer D. Here, viewing area 300 refers to a movable area of the eye where observer D can view entire virtual image I without missing part of virtual image I.
(22) Display device 110 includes a liquid crystal display, a backlight unit including a light source, a diffusion plate, and a polarized lens, which are not shown. In display device 110, a controller such as, for example, a microcontroller (not shown) controls display image information. Display surface 111 can display various types of information, such as road guidance, distance to a vehicle in front, remaining capacity of a vehicle's battery, and current vehicle speed, as the display image information. Display device 110 is, for example, a liquid crystal display, organic light emitting diodes (electroluminescence), or a plasma display. A projector or a scanning laser can be used instead of a display device.
(23) [1-1-2 Arrangement Configuration of Projection Optical System and Display Device]
(24) Arrangement configuration of projection optical system 120 and display device 110 of head-up display 100 according to the first exemplary embodiment is described with reference to
(25) Display device 110 is disposed above second mirror 122 in housing 140. Display surface 111 of display device 110 is directed toward first mirror 121. Here, display device 110 is preferably disposed such that reference light beam Lc emitted from display surface 111 is inclined with respect to display surface 111. This prevents stray light caused by external light entering housing 140 and being reflected by display surface 111 of display device 110.
(26) Reflective surface 121a of first mirror 121 is oriented in the direction in which an image to be displayed on display surface 111 is reflected in second mirror 122. Reflective surface 121a of first mirror 121 is also eccentric so that the image to be displayed on display surface 111 is reflected in second mirror 122.
(27) Here, a reflective area of second mirror 122 is greater than a reflective area of first mirror 121 in order to enlarge the image displayed on display surface 111 and to display the image as virtual image I. The reflective area is the area of a mirror to reflect incident light, and as the reflective area is greater, the mirror becomes larger.
(28) Second mirror 122 is disposed horizontally vehicle rearward of housing 140. Reflective surface 122a of second mirror 122 is eccentrically disposed such that reflective light from first mirror 121 is incident on windshield 220.
(29) In the first exemplary embodiment, first mirror 121 is a mirror whose reflective surface 121a has a concave shape and a free-form surface shape. Second mirror 122 is also a mirror whose reflective surface 122a has a concave shape and a free-form surface shape. Concave reflective surface 122a of second mirror 122 can properly correct image distortion (i.e., image distortion in which the image displayed on display surface 111 is asymmetrically and eccentrically distorted) occurring in first mirror 121. Concave reflective surfaces 121a, 122a of first mirror 121 and second mirror 122 allow observer D to view virtual image I magnified as compared to the image displayed on display surface 111. Alternatively, the reflective surface of one of first mirror 121 and second mirror 122 may have a free-form surface shape, and the reflective surface of the other may have a planar shape or a convex shape.
(30) Additionally, concave reflective surfaces 121a, 122a of first mirror 121 and second mirror 122 can distribute power owned by a single mirror, thereby reducing distortion aberration sensitivity in assembling.
(31) First mirror 121 uses a free-form surface shape as reflective surface 121a. This is to correct the distortion of virtual image I caused by reflection and to allow for viewing good virtual image I over entire viewing area 300.
(32) Second mirror 122 uses a free-form surface shape as reflective surface 122a. This is to correct the distortion of virtual image I caused by reflection and to allow for viewing good virtual image I over entire viewing area 300.
(33) While first mirror 121 for use in head-up display 100 according to the first exemplary embodiment is provided with reflective surface 121a having a rotationally asymmetric shape, reflective surface 121a may have a saddle surface shape in which the sign of curvature is different in the X and Y directions.
(34) While second mirror 122 for use in head-up display 100 according to the first exemplary embodiment is provided with reflective surface 122a having a rotationally asymmetric shape, reflective surface 122a may have a saddle surface shape in which the sign of curvature is different in the X and Y directions.
(35) [1-1-3 Arrangement Configuration of Refractive Optical System]
(36) Arrangement of refractive optical system 160 is described below with reference to
(37)
(38) As described above, opening 130 is provided with opening cover 131 having a curved shape in head-up display 100 according to the first exemplary embodiment. In order to prevent stray light caused by external light, opening cover 131 is disposed such that opening cover 131 closes opening 130 with a convex side on the inside of housing 140. While entire opening cover 131 has the curved shape in head-up display 100 according to the first exemplary embodiment, opening cover 131 may have at least partially a curved shape. Additionally, opening cover 131 only needs to be disposed over opening 130 so that light emitted from display surface 111 is incident on the convex side of a curved portion.
(39) Refractive optical system 160 is disposed along opening cover 131.
(40) As illustrated in
(41) Refractive optical system 160 is disposed so as to simultaneously satisfy the following conditions (1), (2)
L2L1(1)
L2L3(2)
(42) where L1 is a distance from a left end that is an end of the vehicle forward of refractive optical system 160 (i.e., an end on the anterior side of an observer or on the left-hand side of the figure) to opening cover 131, L2 is a distance from a center portion through which reference light beam Lc passes to opening cover 131, and L3 is a distance from a right end that is an end on the vehicle rearward side (i.e., on the right-hand side of the figure) to opening cover 131.
(43) This allows refractive optical system 160 to be disposed along opening cover 131 and housing 140 to be made smaller.
(44) At least one of incident surface 161 and exit surface 162 of refractive optical system 160 has a convex shape. In this case, distance L1, distance L2, distance L3 from refractive optical system 160 to opening cover 131 are preferably distances from a smaller curvature surface to opening cover 131.
(45) Refractive optical system 160 has at least one rotationally asymmetric surface shape. This is to correct asymmetric distortion aberration caused by refractive optical system 160 disposed along opening 130. While refractive optical system 160 has a continuous surface shape, a discontinuous surface shape with which a Fresnel lens is provided can make refractive optical system 160 smaller.
(46) [1-2 Effects]
(47) The depth dimension of housing 140 can be reduced by disposing refractive optical system 160 along opening 130. Thus, head-up display 100 having small-sized housing 140 and capable of displaying virtual image I on a large screen can be provided.
(48) [1-3 Preferable Conditions]
(49) Preferable conditions to be satisfied by head-up display 100 according to the first exemplary embodiment are described below. Note that a plurality of preferable conditions are defined for head-up display 100, and a configuration that satisfies all the plurality of conditions is most preferable. By satisfying each of individual conditions, however, head-up display 100 that provides each of the respective corresponding effects can be obtained.
(50) Head-up display 100 according to the first exemplary embodiment includes display device 110 for displaying an image and a projection optical system 120 for projecting the image displayed on display device 110. Projection optical system 120 includes first mirror 121 and second mirror 122 in order along an optical path from display device 110.
(51) Head-up display 100 projects an image displayed on display surface 111 of display device 110 onto windshield 220 and allows observer D to view virtual image I. This allows observer D to view the image displayed on display surface 111 of display device 110 without obstructing the forward view of observer D.
(52) In head-up display 100 according to the present disclosure, reflective surface 121a of first mirror 121 preferably has a free-form surface shape. This properly corrects image distortion occurring in windshield 220 and allows for viewing good virtual image I less distorted over entire viewing area 300.
(53) In head-up display 100 according to the present disclosure, reflective surface 122a of second mirror 122 preferably has a free-form surface shape. This properly corrects image distortion occurring in windshield 220 and allows for viewing good virtual image I less distorted over entire viewing area 300.
(54) In head-up display 100 according to the present disclosure, reflective surface 121a of first mirror 121 has a concave shape or a planar shape. This prevents distortion of virtual image I caused by reflection as compared to the case where reflective surface 121a of first mirror 121 has a convex shape.
(55) In head-up display 100 according to the present disclosure, reflective surface 122a of second mirror 122 has a concave shape or a planar shape. This prevents distortion of virtual image I caused by reflection as compared to the case where reflective surface 122a of second mirror 122 has a convex shape.
(56) In head-up display 100 according to the present disclosure, the contour of first mirror 121 is a trapezoid shape. This eliminates unnecessary area of first mirror 121 other than an area on which the image displayed on display surface 111 is reflected, and thus makes head-up display 100 smaller. The contour of first mirror 121 is not limited to a trapezoid shape, and the contour can be suitably changed according to the shape of an effective area.
(57) At least one of incident surface 161 and exit surface 162 of refractive optical system 160 has a rotationally asymmetric free-form surface shape. Thus, asymmetric distortion aberration caused by refractive optical system 160 disposed along opening 130 can be properly corrected.
(58) Refractive optical system 160 has a rotationally asymmetric free-form surface shape, with a curvature in the longitudinal direction of a vehicle preferably smaller than a curvature in the transverse direction of the vehicle. In this manner, the asymmetric distortion aberration caused by refractive optical system 160 disposed along opening 130 can be more properly corrected. However, even when all surfaces of refractive optical system 160 are rotationally symmetric, reflective surface 121a, 122a of first mirror 121 or second mirror 122 with a rotationally asymmetric free-form surface shape can also correct the asymmetric distortion aberration.
(59) The surface shape of refractive optical system 160 is preferably a discontinuous shape, such as a Fresnel shape. This makes refractive optical system 160 smaller, and thus makes housing 140 smaller.
(60) The surface shape of refractive optical system 160 is preferably a Fresnel shape having Fresnel grooves only in the longitudinal direction. This minimizes the degradation of image quality caused by scattering due to the Fresnel grooves and makes refractive optical system 160 smaller. Furthermore, even when refractive optical system 160 is disposed along opening 130, the scattering due to the Fresnel grooves does not increase.
(61) Refractive optical system 160 is preferably disposed along opening 130. This allows housing 140 to be made smaller. However, refractive optical system 160 may be disposed as a member integral with opening 130.
(62) Each of first mirror 121 and second mirror 122 has a rotationally asymmetric free-form surface shape, with a curvature in the longitudinal direction of a vehicle preferably smaller than a curvature in the transverse direction of the vehicle. In this manner, asymmetric distortion aberration caused by refractive optical system 160 disposed along opening 130 can be properly corrected.
(63) In head-up display 100 of the present disclosure, at least one surface of refractive optical system 160 is preferably provided with anti-reflection coating for reducing reflection. This prevents or reduces stray light caused by reflection on the refractive surface of refractive optical system 160.
(64) Second Exemplary Embodiment
(65) A second exemplary embodiment is described below. Components similar to those of the first exemplary embodiment are denoted by the same reference numerals, and configurations and functions similar to those of the first exemplary embodiment may not be described in detail.
(66) [2-1 Configuration]
(67) [2-1-1 Overall Configuration of Head-up Display]
(68)
(69) [2-1-2 Arrangement Configuration of Projection Optical System and Display Device]
(70) Display device 110 is disposed below first mirror 121 in housing 140. Display surface 111 of display device 110 is directed toward first mirror 121. Here, display device 110 is preferably disposed such that reference light beam Lc emitted from display surface 111 is inclined with respect to display surface 111. This prevents stray light caused by external light entering housing 140 and being reflected on display surface 111 of display device 110.
(71) Reflective surface 121a of first mirror 121 is oriented in the direction in which the image displayed on display surface 111 is reflected in second mirror 122. Reflective surface 121a of first mirror 121 is also eccentric so that the image to be displayed on display surface 111 is reflected in second mirror 122.
(72) Here, a reflective area of second mirror 122 is greater than a reflective area of first mirror 121 in order to enlarge the image displayed on display surface 111 and to display the image as virtual image I. The reflective area is the area of a mirror to reflect incident light, and as the reflective area is greater, the mirror becomes larger.
(73) Second mirror 122 is disposed horizontally vehicle forward of first mirror 121 in housing 140. Reflective surface 122a of second mirror 122 is oriented in the direction in which reflective light from first mirror 121 is incident on windshield 220. Reflective surface 122a of second mirror 122 is also eccentric so that the reflective light from first mirror 121 is incident on windshield 220.
(74) First mirror 121 is a mirror whose reflective surface 121a has a convex shape and a free-form surface shape. Second mirror 122 is a mirror whose reflective surface 122a has a concave shape and a free-form surface shape. Concave reflective surface 122a of second mirror 122 can properly correct image distortion (i.e., image distortion in which the image displayed on display surface 111 is asymmetrically and eccentrically distorted) occurring in first mirror. Concave reflective surface 122a of second mirror 122 allows observer D to view virtual image I magnified as compared to the image displayed on display surface 111. Alternatively, the reflective surface of one of first mirror 121 and second mirror 122 may have a free-form surface shape, and the reflective surface of the other may have a planar shape.
(75) Additionally, convex reflective surfaces 121a, 122a of first mirror 121 and second mirror 122 can increase concave surface power of second mirror 122 and make housing 140 smaller.
(76) First mirror 121 uses a free-form surface shape as reflective surface 121a. This is to correct the distortion of virtual image I caused by reflection and to allow for viewing good virtual image I over entire viewing area 300.
(77) Second mirror 122 uses a free-form surface shape as reflective surface 122a. This is to correct the distortion of virtual image I caused by reflection and to allow for viewing good virtual image I over entire viewing area 300.
(78) Third Exemplary Embodiment
(79) A third exemplary embodiment is described below. Components similar to those of the above exemplary embodiments are denoted by the same reference numerals, and configurations and functions similar to those of the above exemplary embodiments may not be described in detail.
(80) [3-1 Configuration]
(81) [3-1-1 Overall Configuration of Head-up Display]
(82)
(83) [3-1-2 Arrangement Configuration of Projection Optical System and Display Device]
(84) Display device 110 is disposed above first mirror 121 in housing 140. Display surface 111 of display device 110 is directed toward first mirror 121. This prevents display surface 111 (liquid crystal surface) of display device 110 from being exposed to sunlight. Here, display device 110 is preferably disposed such that reference light beam Lc emitted from display surface 111 is inclined with respect to display surface 111. This prevents stray light caused by external light entering housing 140 and being reflected on display surface 111 of display device 110.
(85) Reflective surface 121a of first mirror 121 is oriented in the direction in which an image to be displayed on display surface 111 is reflected in second mirror 122. Reflective surface 121a of first mirror 121 is also eccentric so that the image to be displayed on display surface 111 is reflected in second mirror 122.
(86) Here, a reflective area of second mirror 122 is greater than a reflective area of first mirror 121 in order to enlarge the image displayed on display surface 111 and to display the image as virtual image I. The reflective area is the area of a mirror to reflect incident light, and as the reflective area is greater, the mirror becomes larger.
(87) Second mirror 122 is disposed horizontally vehicle forward of first mirror 121 in housing 140. Reflective surface 122a of second mirror 122 is oriented in the direction in which reflective light from first mirror 121 is incident on windshield 220. Reflective surface 122a of second mirror 122 is also eccentric so that the reflective light from first mirror 121 is incident on windshield 220.
(88) First mirror 121 is a mirror whose reflective surface 121a has a concave shape and a free-form surface shape. Second mirror 122 is a mirror whose reflective surface 122a has a concave shape and a free-form surface shape. Concave reflective surface 121a of first mirror 121 can properly correct image distortion (i.e., image distortion in which the image displayed on display surface 111 is asymmetrically and eccentrically distorted) occurring in second mirror 122. Concave reflective surface 122a of second mirror 122 allows observer D to view virtual image I magnified as compared to the image displayed on display surface 111. Alternatively, the reflective surface of one of first mirror 121 and second mirror 122 may have a free-form surface shape, and the reflective surface of the other may have a planar shape. Otherwise, the reflective surface of one of first mirror 121 and second mirror 122 may have a concave shape, and the reflective surface of the other may have a convex shape.
(89) Additionally, concave reflective surfaces 121a, 122a of first mirror 121 and second mirror 122 can distribute power owned by a single mirror, thereby reducing distortion aberration sensitivity in assembling.
(90) First mirror 121 uses a free-form surface shape as reflective surface 121a. This is to correct the distortion of virtual image I caused by reflection and to allow for viewing good virtual image I over entire viewing area 300.
(91) Second mirror 122 uses a free-form surface shape as reflective surface 122a. This is to correct the distortion of virtual image I caused by reflection and to allow for viewing good virtual image I over entire viewing area 300.
(92) Fourth Exemplary Embodiment
(93) A fourth exemplary embodiment is described below. Components similar to those of the above exemplary embodiments are denoted by the same reference numerals, and configurations and functions similar to those of the above exemplary embodiments may not be described in detail.
(94) [4-1 Configuration]
(95) [4-1-1 Overall Configuration of Head-up Display]
(96)
(97) [4-1-2 Arrangement Configuration of Projection Optical System and Display Device]
(98) Display device 110, first mirror 121, and second mirror 122 are disposed such that at least respective parts of display device 110, first mirror 121, and second mirror 122 are in the same horizontal plane.
(99) Display surface 111 of display device 110 is directed toward first mirror 121. This prevents display surface 111 (liquid crystal surface) from being exposed to sunlight. Here, display device 110 is preferably disposed such that reference light beam Lc emitted from display surface 111 is inclined with respect to display surface 111. This prevents stray light caused by external light entering housing 140 and being reflected on display surface 111 of display device 110.
(100) Reflective surface 121a of first mirror 121 is oriented in the direction in which an image to be displayed on display surface 111 is reflected in second mirror 122. Reflective surface 121a of first mirror 121 is also eccentric so that the image to be displayed on display surface 111 is reflected in second mirror 122.
(101) Here, a reflective area of second mirror 122 is greater than a reflective area of first mirror 121 in order to enlarge the image to be displayed on display surface 111 and to display the image as virtual image I. The reflective area is the area of a mirror to reflect incident light, and as the reflective area is greater, the mirror becomes larger.
(102) Second mirror 122 is disposed horizontally vehicle forward of first mirror 121 in housing 140. Reflective surface 122a of second mirror 122 is oriented in the direction in which reflective light from first mirror 121 is incident on windshield 220. Reflective surface 122a of second mirror 122 is also eccentric so that the reflective light from first mirror 121 is incident on windshield 220.
(103) First mirror 121 is a mirror whose reflective surface 121a has a convex shape and a free-form surface shape. Second mirror 122 is a mirror whose reflective surface 122a has a concave shape and a free-form surface shape. Concave reflective surface 122a of second mirror 122 can properly correct image distortion (i.e., image distortion in which the image displayed on display surface 111 is asymmetrically and eccentrically distorted) occurring in first mirror 121. Concave reflective surface 122a of second mirror 122 allows observer D to view virtual image I magnified as compared to the image displayed on display surface 111. Alternatively, the reflective surface of one of first mirror 121 and second mirror 122 may have a free-form surface shape, and the reflective surface of the other may have a planar shape.
(104) Additionally, convex reflective surfaces 121a, 122a of first mirror 121 and second mirror 122 can increase concave surface power of second mirror 122 and make housing 140 smaller.
(105) First mirror 121 uses a free-form surface shape as reflective surface 121a. This is to correct the distortion of virtual image I caused by reflection and to allow for viewing good virtual image I over entire viewing area 300.
(106) Second mirror 122 uses a free-form surface shape as reflective surface 122a. This is to correct the distortion of virtual image I caused by reflection and to allow for viewing good virtual image I over entire viewing area 300.
(107) Fifth Exemplary Embodiment
(108) A fifth exemplary embodiment is described below. Components similar to those of the above exemplary embodiments are denoted by the same reference numerals, and configurations and functions similar to those of the above exemplary embodiments may not be described in detail.
(109) [5-1 Configuration]
(110) [5-1-1 Overall Configuration of Head-up Display]
(111)
(112) As illustrated in
(113) [5-1-2 Arrangement Configuration of Projection Optical System and Display Device]
(114) Display device 110 is disposed horizontally vehicle rearward of first mirror 121 in housing 140. Display surface 111 of display device 110 is directed toward first mirror 121 and vertically downward. This prevents display surface 111 (liquid crystal surface) from being exposed to sunlight. Here, display device 110 is preferably disposed such that reference light beam Lc emitted from display surface 111 is inclined with respect to display surface 111. This prevents stray light caused by external light entering housing 140 and being reflected on display surface 111 of display device 110.
(115) Reflective surface 121a of first mirror 121 is oriented in the direction in which an image displayed on display surface 111 is reflected in windshield 220. Reflective surface 121a of first mirror 121 is also eccentric so that the image displayed on display surface 111 is reflected in windshield 220.
(116) First mirror 121 is a mirror whose reflective surface 121a has a concave shape and a free-form surface shape. Concave reflective surface 121a of first mirror 121 allows observer D to view virtual image I magnified as compared to an image to be displayed on display surface 111.
(117) Other Exemplary Embodiments
(118) As noted above, the first to fifth embodiments have been described as examples of the technique disclosed herein. However, the technique according to the present disclosure is not limited thereto and is applicable to embodiments in which modifications, substitutions, additions, omissions, etc., are made. Another embodiment could be achieved by combining the components described in the first to fifth embodiments.
NUMERICAL EXAMPLES
(119) Numerical Examples 1 to 5, which embody the head-up displays according to the first to fourth embodiments, are described below. In tables of Numerical Examples 1 to 4, all lengths are in mm (millimeters) and all angles are in (degrees). In the numerical examples, a free-form surface is defined by the following equations:
(120)
(121) Here, z is a sag at a position with coordinates (x, y) of axes defining a surface, r is a radius of curvature at the origin of the axes defining the surface, c is a curvature at the origin of the axes defining the surface, and k is a conic constant corresponding to polynomial coefficient C.sub.1. Cj (j>1) is a coefficient of monomial expression x.sup.my.sup.n, where m and n are integers greater than or equal to zero.
(122)
(123) Additionally, in eccentricity data in Numerical Examples 1 to 4, ADE refers to the amount by which a mirror is rotated about the X-axis from the Z-axis direction to the Y-axis direction. BDE refers to the amount by which a mirror is rotated about the Y-axis from the X-axis direction to the Z-axis direction. CDE refers to the amount by which a mirror is rotated about the Z-axis from the X-axis direction to the Y-axis direction.
Numerical Example 1
(124) Table 1 shows configuration data of projection optical system 120 of Numerical Example 1, and Table 2 shows coefficients of polynomial free-form surfaces. [Table 1] [Table 2]
Numerical Example 2
(125) Table 3 shows configuration data of projection optical system 120 of Numerical Example 2, and Table 4 shows coefficients of polynomial free-form surfaces. [Table 3] [Table 4]
Numerical Example 3
(126) Table 5 shows configuration data of projection optical system 120 of Numerical Example 3, and Table 6 shows coefficients of a polynomial free-form surface. [Table 5] [Table 6]
Numerical Example 4
(127) Table 7 shows configuration data of projection optical system 120 of Numerical Example 4, and Table 8 shows coefficients of a polynomial free-form surface. [Table 7] [Table 8]
(128) The head-up display according to the present disclosure is suitable for a head-up display in which high image quality is required, such as, for example, a head-up display for use in a vehicle.
(129) TABLE-US-00001 TABLE 1 Surface Eccentricity Data No. Shape X Y Z ADE BDE CDE Display 1 0 0 0 0 0 0 Surface First 2 Free-form 0.245 19.308 109.501 31.976 1.188 2.606 Mirror Surface Second 3 Free-form 1.568 21.100 80.108 87.291 2.819 0.506 Mirror Surface Windshield 4 Toroidal 11.005 216.499 63.803 54.413 3.034 0.736 Observer 5 81.869 384.158 841.435 13.847 4.800 9.924 Surface Radius of No. Curvature 2 590.2 3 4668.5 Surface X Radius of Y Radius of No. Curvature Curvature 4 2600 4300
(130) TABLE-US-00002 TABLE 2 Surface No. Polynomial Coefficient 2 C1 0.00000E+00 C19 0.00000E+00 C37 0.00000E+00 C55 0.00000E+00 C2 0.00000E+00 C20 0.00000E+00 C38 0.00000E+00 C56 0.00000E+00 C3 0.00000E+00 C21 0.00000E+00 C39 0.00000E+00 C57 0.00000E+00 C4 2.85570E04 C22 0.00000E+00 C40 0.00000E+00 C58 0.00000E+00 C5 3.15214E05 C23 0.00000E+00 C41 0.00000E+00 C59 0.00000E+00 C6 4.93034E04 C24 0.00000E+00 C42 0.00000E+00 C60 0.00000E+00 C7 2.25126E07 C25 0.00000E+00 C43 0.00000E+00 C61 0.00000E+00 C8 3.32820E06 C26 0.00000E+00 C44 0.00000E+00 C62 0.00000E+00 C9 1.93874E06 C27 0.00000E+00 C45 0.00000E+00 C63 0.00000E+00 C10 7.26124E06 C28 0.00000E+00 C46 0.00000E+00 C64 0.00000E+00 C11 6.88841E10 C29 0.00000E+00 C47 0.00000E+00 C65 0.00000E+00 C12 2.24171E09 C30 0.00000E+00 C48 0.00000E+00 C66 0.00000E+00 C13 1.46605E08 C31 0.00000E+00 C49 0.00000E+00 C14 5.89482E09 C32 0.00000E+00 C50 0.00000E+00 C15 1.41124E08 C33 0.00000E+00 C51 0.00000E+00 C16 0.00000E+00 C34 0.00000E+00 C52 0.00000E+00 C17 0.00000E+00 C35 0.00000E+00 C53 0.00000E+00 C18 0.00000E+00 C36 0.00000E+00 C54 0.00000E+00 3 C1 0.00000E+00 C19 0.00000E+00 C37 0.00000E+00 C55 0.00000E+00 C2 0.00000E+00 C20 0.00000E+00 C38 0.00000E+00 C56 0.00000E+00 C3 0.00000E+00 C21 0.00000E+00 C39 0.00000E+00 C57 0.00000E+00 C4 5.31441E04 C22 0.00000E+00 C40 0.00000E+00 C58 0.00000E+00 C5 5.00228E05 C23 0.00000E+00 C41 0.00000E+00 C59 0.00000E+00 C6 1.91333E04 C24 0.00000E+00 C42 0.00000E+00 C60 0.00000E+00 C7 1.34339E07 C25 0.00000E+00 C43 0.00000E+00 C61 0.00000E+00 C8 6.12266E07 C26 0.00000E+00 C44 0.00000E+00 C62 0.00000E+00 C9 1.58718E06 C27 0.00000E+00 C45 0.00000E+00 C63 0.00000E+00 C10 3.51226E06 C28 0.00000E+00 C46 0.00000E+00 C64 0.00000E+00 C11 4.49786E10 C29 0.00000E+00 C47 0.00000E+00 C65 0.00000E+00 C12 2.52165E09 C30 0.00000E+00 C48 0.00000E+00 C66 0.00000E+00 C13 2.24280E09 C31 0.00000E+00 C49 0.00000E+00 C14 1.74921E09 C32 0.00000E+00 C50 0.00000E+00 C15 2.08500E08 C33 0.00000E+00 C51 0.00000E+00 C16 0.00000E+00 C34 0.00000E+00 C52 0.00000E+00 C17 0.00000E+00 C35 0.00000E+00 C53 0.00000E+00 C18 0.00000E+00 C36 0.00000E+00 C54 0.00000E+00
(131) TABLE-US-00003 TABLE 3 Surface Eccentricity Data No. Shape X Y Z ADE BDE CDE Display 1 0 0 0 0 0 0 Surface First 2 Free-form 21.690 47.566 135.249 44.294 14.947 11.590 Mirror Surface Second 3 Free-form 0.517 14.952 112.929 96.251 1.101 17.399 Mirror Surface Windshield 4 Toroidal 91.155 291.389 34.731 62.272 13.415 21.310 Observer 5 464.001 388.504 734.301 8.124 27.788 11.988 Surface Radius of No. Curvature 2 930.7 3 561.7 Surface X Radius of Y Radius of No. Curvature Curvature 4 2600 4300
(132) TABLE-US-00004 TABLE 4 Surface No. Polynomial Coefficient 2 C1 0.00000E+00 C19 3.43537E10 C37 0.00000E+00 C55 0.00000E+00 C2 0.00000E+00 C20 2.54005E10 C38 0.00000E+00 C56 0.00000E+00 C3 0.00000E+00 C21 9.54203E10 C39 0.00000E+00 C57 0.00000E+00 C4 1.24217E03 C22 7.07046E14 C40 0.00000E+00 C58 0.00000E+00 C5 4.70706E04 C23 1.33665E13 C41 0.00000E+00 C59 0.00000E+00 E- 1.44271E03 C24 9.79282E14 C42 0.00000E+00 C60 0.00000E+00 C7 3.07575E07 C25 1.04540E12 C43 0.00000E+00 C61 0.00000E+00 C8 2.38044E06 C26 1.20102E12 C44 0.00000E+00 C62 0.00000E+00 C9 3.05234E06 C27 2.50124E12 C45 0.00000E+00 C63 0.00000E+00 C10 4.58830E06 C28 4.59976E12 C46 0.00000E+00 C64 0.00000E+00 C11 2.73828E10 C29 0.00000E+00 C47 0.00000E+00 C65 0.00000E+00 C12 1.76566E08 C30 0.00000E+00 C48 0.00000E+00 C66 0.00000E+00 C13 7.43442E09 C31 0.00000E+00 C49 0.00000E+00 C14 4.87738E08 C32 0.00000E+00 C50 0.00000E+00 C15 3.10039E08 C33 0.00000E+00 C51 0.00000E+00 C16 6.57075E13 C34 0.00000E+00 C52 0.00000E+00 C17 1.19867E10 C35 0.00000E+00 C53 0.00000E+00 C18 1.54768E10 C36 0.00000E+00 C54 0.00000E+00 3 C1 0.00000E+00 C19 1.05993E10 C37 0.00000E+00 C55 0.00000E+00 C2 0.00000E+00 C20 3.33553E10 C38 0.00000E+00 C56 0.00000E+00 C3 0.00000E+00 C21 6.20298E10 C39 0.00000E+00 C57 0.00000E+00 C4 3.23639E04 C22 9.41644E14 C40 0.00000E+00 C58 0.00000E+00 C5 2.18328E04 C23 7.00912E14 C41 0.00000E+00 C59 0.00000E+00 C6 9.38574E04 C24 4.99953E15 C42 0.00000E+00 C60 0.00000E+00 C7 6.74843E07 C25 3.23238E13 C43 0.00000E+00 C61 0.00000E+00 C8 4.20886E08 C26 1.21274E12 C44 0.00000E+00 C62 0.00000E+00 C9 2.92925E06 C27 2.74584E12 C45 0.00000E+00 C63 0.00000E+00 C10 1.37410E06 C28 8.98291E13 C46 0.00000E+00 C64 0.00000E+00 C11 6.23358E11 C29 0.00000E+00 C47 0.00000E+00 C65 0.00000E+00 C12 8.94591E09 C30 0.00000E+00 C48 0.00000E+00 C66 0.00000E+00 C13 3.89638E09 C31 0.00000E+00 C49 0.00000E+00 C14 3.56744E08 C32 0.00000E+00 C50 0.00000E+00 C15 2.15222E08 C33 0.00000E+00 C51 0.00000E+00 C16 3.27131E12 C34 0.00000E+00 C52 0.00000E+00 C17 3.80313E11 C35 0.00000E+00 C53 0.00000E+00 C18 6.11279E11 C36 0.00000E+00 C54 0.00000E+00
(133) TABLE-US-00005 TABLE 5 Surface Eccentricity Data No. Shape X Y Z ADE BDE CDE Display 1 0 0 0 0 0 0 Surface First 2 Free-form 0.000 38.823 144.889 4.000 0.904 1.802 Mirror Surface Second 3 Planar 2.513 58.278 98.898 62.989 4.020 0.308 Mirror Windshield 4 Toroidal 13.700 221.632 31.084 36.775 1.433 0.734 Observer 5 75.672 615.922 660.681 31.368 4.203 8.433 Surface Radius of No. Curvature 2 525.1 3 Surface X Radius of Y Radius of No. Curvature Curvature 4 2600 4300
(134) TABLE-US-00006 TABLE 6 Surface No. Polynomial Coefficient 2 C1 0.00000E+00 C19 1.99562E10 C37 0.00000E+00 C55 0.00000E+00 C2 0.00000E+00 C20 7.95802E11 C38 0.00000E+00 C56 0.00000E+00 C3 0.00000E+00 C21 2.95811E09 C39 0.00000E+00 C57 0.00000E+00 C4 1.73944E04 C22 1.09857E13 C40 0.00000E+00 C58 0.00000E+00 C5 1.26087E04 C23 1.71777E14 C41 0.00000E+00 C59 0.00000E+00 C6 2.70038E04 C24 1.48989E13 C42 0.00000E+00 C60 0.00000E+00 C7 4.49636E08 C25 3.24641E12 C43 0.00000E+00 C61 0.00000E+00 C8 2.69334E07 C26 4.37750E12 C44 0.00000E+00 C62 0.00000E+00 C9 1.91072E07 C27 2.50031E11 C45 0.00000E+00 C63 0.00000E+00 C10 1.80824E06 C28 6.28061E11 C46 0.00000E+00 C64 0.00000E+00 C11 1.60538E09 C29 0.00000E+00 C47 0.00000E+00 C65 0.00000E+00 C12 1.66799E09 C30 0.00000E+00 C48 0.00000E+00 C66 0.00000E+00 C13 8.92884E10 C31 0.00000E+00 C49 0.00000E+00 C14 2.66759E08 C32 0.00000E+00 C50 0.00000E+00 C15 5.20157E08 C33 0.00000E+00 C51 0.00000E+00 C16 3.70436E12 C34 0.00000E+00 C52 0.00000E+00 C17 3.20147E11 C35 0.00000E+00 C53 0.00000E+00 C18 3.00357E11 C36 0.00000E+00 C54 0.00000E+00
(135) TABLE-US-00007 TABLE 7 Surface Eccentricity Data No. Shape X Y Z ADE BDE CDE Display 1 0 0 0 0 0 0 Surface First 2 Planar 0.000 54.940 117.820 53.179 1.619 3.018 Mirror Second 3 Free-form 2.987 4.311 108.856 103.460 0.339 1.234 Mirror Surface Windshield 4 Toroidal 14.270 228.689 60.835 58.993 7.294 2.717 Observer 5 36.180 335.172 850.746 9.321 3.179 15.166 Surface Radius of No. Curvature 2 3 746.6 Surface X Radius of Y Radius of No. Curvature Curvature 4 2600 4300
(136) TABLE-US-00008 TABLE 8 Surface No. Polynomial Coefficient 3 C1 0.00000E+00 C19 1.99562E10 C37 0.00000E+00 C55 0.00000E+00 C2 0.00000E+00 C20 7.95802E11 C38 0.00000E+00 C56 0.00000E+00 C3 0.00000E+00 C21 2.95811E09 C39 0.00000E+00 C57 0.00000E+00 C4 1.73944E04 C22 1.09857E13 C40 0.00000E+00 C58 0.00000E+00 C5 1.26087E04 C23 1.71777E14 C41 0.00000E+00 C59 0.00000E+00 C6 2.70038E04 C24 1.48989E13 C42 0.00000E+00 C60 0.00000E+00 C7 4.49636E08 C25 3.24641E12 C43 0.00000E+00 C61 0.00000E+00 C8 2.69334E07 C26 4.37750E12 C44 0.00000E+00 C62 0.00000E+00 C9 1.91072E07 C27 2.50031E11 C45 0.00000E+00 C63 0.00000E+00 C10 1.80824E06 C28 6.28061E11 C46 0.00000E+00 C64 0.00000E+00 C11 1.60538E09 C29 0.00000E+00 C47 0.00000E+00 C65 0.00000E+00 C12 1.66799E09 C30 0.00000E+00 C48 0.00000E+00 C66 0.00000E+00 C13 8.92884E10 C31 0.00000E+00 C49 0.00000E+00 C14 2.66759E08 C32 0.00000E+00 C50 0.00000E+00 C15 5.20157E08 C33 0.00000E+00 C51 0.00000E+00 C16 3.70436E12 C34 0.00000E+00 C52 0.00000E+00 C17 3.20147E11 C35 0.00000E+00 C53 0.00000E+00 C18 3.00357E11 C36 0.00000E+00 C54 0.00000E+00