Display apparatus and display unit
10473927 ยท 2019-11-12
Assignee
Inventors
Cpc classification
G02B2027/013
PHYSICS
G02B2027/011
PHYSICS
G02B2027/0141
PHYSICS
H04N5/64
ELECTRICITY
International classification
B60K35/00
PERFORMING OPERATIONS; TRANSPORTING
Abstract
A display apparatus includes a display unit that projects an image to a light transmissive display member. The display unit is configured to accommodate a display device and a projection optical system that projects the image displayed on the display device to the display member in a housing including an opening through which projected light is output. The projection optical system includes a first reflecting member disposed on a display device side and a second reflecting member disposed on an opening side in an optical path extending from the display device to the opening. A reflection surface of the first reflecting member that reflects the image displayed on the display device has a convex shape of a free-form surface, and a reflection surface of the second reflecting member that projects the image to the display member has a concave shape of a free-form surface.
Claims
1. A display apparatus comprising a display unit that projects an image to a light transmissive display member, the display apparatus forming a virtual image of the image projected by the display unit on an opposite side to a user side with respect to the display member, wherein the display unit is configured to accommodate a display device that displays the image and a projection optical system that projects the image displayed on the display device to the display member in a housing including an opening through which projected light is output, the projection optical system includes a first reflecting member disposed on a display device side and a second reflecting member disposed on an opening side in an optical path extending from the display device to the opening, a reflection surface of the first reflecting member that reflects the image displayed on the display device has a convex shape surface, and a reflection surface of the second reflecting member that projects the image to the display member has a concave shape of a free-form surface, an interval D12 between the first reflecting member and the second reflecting member and an interval DL1 between the first reflecting member and the image of the display device satisfy a relation of 3.0<D12/DL1<10.0 in the display unit, the opening of the housing includes a first end formed at a rim on a first reflecting member side of the opening and a second end formed at a rim on a second reflecting member side of the opening, and a display surface of the display device, where the image is displayed on the display device, is disposed so as to be located on the first reflecting member side with respect to a straight line connecting the first end and the second end.
2. The display apparatus according to claim 1, wherein the opening of the housing further includes: a first light shielding section provided at the rim on the first reflecting member side of the opening; and a second light shielding section provided at the rim on the second reflecting member side of the opening and having a shape raised from the housing, the first light shielding section includes the first end, the second light shielding section includes the second end.
3. The display apparatus according to claim 1, wherein the convex shape surface of the reflection surface of the first reflecting member has a rotationally asymmetric convex shape.
4. The display apparatus according to claim 1, wherein the convex shape surface of the reflection surface of the first reflecting member is a convex shape of a free-form surface.
5. The display apparatus accordingly to claim 1, wherein the interval D12 between the first reflecting member and the second reflecting member and the interval DL1 between the first reflecting member and the image of the display device satisfy a relation of 5.0<D12/DL1<8.0.
6. A display unit that forms a virtual image of an image by projecting the image to a light transmissive display member, the display unit comprising: a housing including an opening through which projected light is output; a display device that is accommodated in the housing and displays the image; and a projection optical system that is accommodated in the housing and projects the image displayed on the display device to the light transmissive display member, wherein the projection optical system includes a first reflecting member disposed on a display device side and a second reflecting member disposed on an opening side in an optical path from the display device to the opening, a reflection surface of the first reflecting member that reflects the image displayed on the display device has a convex shape surface, and a reflection surface of the second reflecting member that projects the image to the display member has a concave shape of a free-form surface, an interval D12 between the first reflecting member and the second reflecting member and an interval DL1 between the first reflecting member and the image of the display device satisfy a relation of 3.0<D12/DL1<10.0, the opening of the housing includes a first end formed at a rim on a first reflecting member side of the opening and a second end formed at a rim on a second reflecting member side of the opening, and a display surface of the display device, where the image is displayed on the display device, is disposed so as to be located on the first reflecting member side with respect to a straight line connecting the first end and the second end.
7. The display unit according to claim 6, wherein the opening of the housing further includes: a first light shielding section provided at the rim on the first reflecting member side of the opening; and a second light shielding section provided at the rim on the second reflecting member side of the opening and having a shape raised from the housing, the first light shielding section includes the first end, the second light shielding section includes the second end.
8. The display unit according to claim 6, wherein the convex shape surface of the reflection surface of the first reflecting member has a rotationally asymmetric convex shape.
9. The display unit according to claim 6, wherein the convex shape surface of the reflection surface of the first reflecting member is a convex shape of a free-form surface.
Description
BRIEF DESCRIPTION OF DRAWINGS
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DESCRIPTION
(14) Hereinafter, a display unit and a display apparatus according to an exemplary embodiment of the present technology will be described with reference to the drawings. However, a detailed description more than necessary may occasionally be omitted. For example, the detailed description of a well-known item and the overlapping description of a substantially identical configuration may occasionally be omitted. This is to avoid the following description from becoming unnecessarily redundant, and to ease understanding of those skilled in the art. Note that, the inventor provides the accompanying drawings and the following description in order that those skilled in the art adequately understand the present technology and does not intend to limit the subject matter described in the claims by the accompanying drawings and the following description.
(15)
(16) As illustrated in
(17)
(18) As illustrated in
(19) Opening 11A of housing 11 constitutes an outgoing port of projected light of the projection optical system. In opening 11A of housing 11, a light transmissive cover such as a transparent resin sheet may be disposed so as to close opening 11A.
(20) For example, a liquid crystal display apparatus, an organic EL display apparatus, and a plasma display are used as display device 12. In display device 12, a predetermined image is displayed in a display region of display device 12 using an image signal input from display controller 15.
(21) The projection optical system includes first mirror 13 and second mirror 14 in an optical path from display device 12 to wind shield 22 of the display member. First mirror 13 is a first reflecting member disposed on the side of display device 12. Second mirror 14 is a second reflecting member disposed on the display member side, namely, on the side of opening 11A through which the projected light for the image displayed on display device 12 is output.
(22) As illustrated in
(23)
(24) Display controller 15 controls the image signal input to display device 12, which enables the display positions of image 16 to be changed in display region 12A.
(25)
(26) As illustrated in
(27) As illustrated in
(28) That is, in display unit 10 of the exemplary embodiment, the position where the image is displayed on display device 12 can be changed by controlling display controller 15, and user 30 can visually perceive proper virtual image 40 according to the position of the viewpoint of user 30. For example, an attachment error of display unit 10 is generated when display unit 10 is installed on vehicle 20. In display unit 10 of the exemplary embodiment, when display controller 15 is controlled to adjust the display position of the image displayed on display device 12, user 30 can visually perceive proper virtual image 40. Therefore, the attachment error can be corrected in display unit 10 itself. Sometimes the position of the viewpoint of user 30 changes when the position of user 30 changes. In such cases, display controller 15 is controlled to adjust display positions 16A and 16B of image 16 displayed on display device 12, which allows user 30 to visually perceive proper virtual image 40.
(29) In the display apparatus of the exemplary embodiment, desirably the viewpoint of user 30 is located in a substantial center of eye box 31 that is the visually recognizable region in order that user 30 can visually perceive proper virtual image 40. Accordingly, in the case that the position of the viewpoint of user 30 changes, display controller 15 controls the display positions 16A and 16B of image 16 displayed on display device 12 to be moved such that the viewpoint of user 30 is located in the substantial center of eye box 31 that is the visually recognizable region.
(30) According to an experimental result, desirably Vi/Is is greater than or equal to 2 and less than 7. Where Vi is a movement amount of the user's viewpoint region and Is is a movement amount of image 16 displayed on display device 12. More desirably, display controller 15 controls the movement amount of image 16 such that Vi/Is is greater than or equal to 4 and less than 6. The experimental result showed that a distortion of the image observed in eye box 31 of user 30 increases when Vi/Is is greater than or equal to 7, and eye box 31 that is the visually recognizable region of user 30 is narrowed when Vi/Is is less than 2.
(31) First mirror 13 that is the first reflecting member of the projection optical system is disposed above a display surface of display device 12, namely, immediately above display region 12A. In first mirror 13, reflection surface 13A that reflects the image displayed on display device 12 has a convex shape of a free-form surface. Second mirror 14 that is the second reflecting member of the projection optical system is disposed immediately below wind shield 22 that is the display member on the optical path on which the image is reflected by reflection surface 13A of first mirror 13. In second mirror 14, reflection surface 14A that faces reflection surface 13A of first mirror 13 and projects the image to wind shield 22 that is the display member has a concave shape of the free-form surface.
(32) The arrangements of display device 12, first mirror 13, and second mirror 14 in display unit 10 will be described below.
(33)
(34) In the display apparatus provided with display unit 10 of the exemplary embodiment, first mirror 13 and second mirror 14 are disposed such that interval D12 between first mirror 13 and second mirror 14 satisfies 0.2<D12/Lv<1.3. Desirably, first mirror 13 and second mirror 14 are disposed such that interval D12 between first mirror 13 and second mirror 14 satisfies 0.5<D12/Lv<1.0. More desirably, first mirror 13 and second mirror 14 are disposed such that an upper limit of interval D12 between first mirror 13 and second mirror 14 satisfies D12/Lv<0.9.
(35) Therefore, user 30 can visually perceive sufficiently large virtual image 40 in small-size display unit 10 having the small interval between first mirror 13 and second mirror 14. An increase in curvature of second mirror 14 can be restrained, and a screen distortion of virtual image 40 can easily be corrected. That is, in the exemplary embodiment, downsizing of display unit 10 can be provided.
(36) In the display apparatus of the exemplary embodiment, a relationship between length Yv in the longitudinal direction of image 16 displayed on display device 12 and distance T in the center optical path from user 30 to virtual image 40 satisfies 0.03<(TLv)/Yv<0.22.
(37) In the exemplary embodiment, when the relationship of (TLv)/Yv between length Yv in the longitudinal direction of image 16 and distance T from user 30 to virtual image 40 is larger than 0.22, the distance from user 30 to virtual image 40 increases to enlarge the display apparatus. On the other hand, when the relationship of (TLv)/Yv between length Yv in the longitudinal direction of image 16 and distance T from user 30 to virtual image 40 is smaller than 0.03, it is necessary to increase the length in the longitudinal direction of image 16 displayed on display device 12, which results in the enlarged display unit 10. That is, in the exemplary embodiment, the downsizing of display unit 10 can be provided, and the downsizing of the display apparatus provided with display unit 10 can be provided.
(38) In the display apparatus provided with display unit 10 of the exemplary embodiment, interval D12 between first mirror 13 and second mirror 14 and interval DL1 between first mirror 13 and image 16 of display device 12 satisfy 3.0<D12/DL1. Desirably interval D12 between first mirror 13 and second mirror 14 and interval DL1 between first mirror 13 and image 16 of display device 12 satisfy 3.5<D12/DL1<10.0. More desirably interval D12 between first mirror 13 and second mirror 14 and interval DL1 between first mirror 13 and image 16 of display device 12 satisfy 5.0<D12/DL1<8.0.
(39) In the exemplary embodiment, when interval D12 between first mirror 13 and second mirror 14 and interval DL1 between first mirror 13 and image 16 of display device 12 satisfy 3.0<D12/DL1, the increase in curvature of second mirror 14 can be restrained, and the screen distortion of virtual image 40 can easily be corrected. That is, in the exemplary embodiment, downsizing of display unit 10 can be provided.
(40)
(41) As illustrated in
(42)
(43) Therefore, even if the light is incident on display unit 10, the incidence of the light on the display region of display device 12 can be restrained to form high-quality virtual image 40. Additionally, in another exemplary embodiment, display unit 10 includes first light shielding section 11D and second light shielding section 11E to enlarge an opening area of opening 11A, so that a degree of freedom can be ensured in design.
(44) As described above, in the present technology, display unit 10 that projects the image is configured to accommodate display device 12 that displays the image and the projection optical system that projects the image displayed on display device 12 to the display member in housing 11 including opening 11A through which projected light is output. The projection optical system includes first mirror 13 disposed on the side of display device 12 and second mirror 14 disposed on the side of opening 11A in the optical path from display device 12 to opening 11A. Reflection surface 13A of first mirror 13 that reflects the image displayed on display device 12 has the convex shape of the free-form surface, and reflection surface 14A of second mirror 14 that projects the image to the display member has the concave shape of the free-form surface.
(45) In the present technology, the screen distortion generated in wind shield 22 that is the display member having the predetermined curvature can be corrected well. Therefore, the screen distortion is decreased in the virtual image of the image formed on the opposite side to the user side of the display member, and the user can visually perceive the virtual image without sensing an uncomfortable feeling.
(46) In display unit 10 of the present technology, desirably reflection surface 13A of first mirror 13 has a rotationally asymmetric convex shape. Therefore, the screen distortion can be corrected well over the whole user's viewpoint region. Desirably reflection surface 13A of first mirror 13 has the convex shape in the horizontal direction. Therefore, the curvature in the horizontal direction of reflection surface 14A of second mirror 14 can be increased and the display apparatus can be downsized.
(47) Rotationally asymmetric reflection surface 13A of first mirror 13 may have a shape in which the X-axis direction differs from the Y-axis direction in the curvature as illustrated in
(48)
(49) Assuming that reference longitudinal curve F1 and reference crosswise curve F2 pass through optical axis C of the center optical path of the image, reflection surface F has reflecting regions 1, 2, 3, and 4 having different curvatures with a point at which reference longitudinal curve F1 intersects reference crosswise curve F2 as a boundary.
EXAMPLES
(50) Specific examples of the display apparatus of the present technology will be described below. In Examples described below, the length in Tables has a unit (mm), and the angle has a unit (degree). The free-form surface is defined by the following mathematical formula.
(51)
(52) Where z is a sag amount at a position (x,y) from an axis defining the surface, r is a curvature radius at an origin of the axis defining the surface, c is a curvature at the origin of the axis defining the surface, k is a conic constant, and Cj is a coefficient of a monomial x.sup.my.sup.n.
(53) In each Example, a coordinate origin that is a reference is located in the center of the image (display surface) displayed on display device 12. In Tables, the crosswise direction of the display surface is set to an X-axis, the longitudinal direction is set to a Y-axis, and a direction perpendicular to the display surface is set to a Z-axis.
(54) In Tables, a surface number 1 indicates the display surface of display device 12, a surface number 2 indicates first mirror 13, a surface number 3 indicates the second mirror, a surface number 4 indicates wind shield 22, and a surface number 5 indicates the user's viewpoint. In eccentric data, ADE means a rotation amount of the mirror from the Z-axis direction toward the Y-axis direction about the X-axis, BDE means a rotation amount of the mirror from the X-axis direction toward the Z-axis direction about the Y-axis, and CDE means a rotation amount of the mirror from the X-axis direction toward the Y-axis direction about the Z-axis.
Example 1
(55) TABLE-US-00001 TABLE 1 Surface number X-curvature Y-curvature 2 603.2021 2654.4
(56) TABLE-US-00002 TABLE 2 Surface number Polynomial coefficient 3 C1 0.00000E+00 C19 4.87235E12 C37 0.00000E+00 C55 0.00000E+00 C2 3.53809E02 C20 1.22754E10 C38 0.00000E+00 C56 0.00000E+00 C3 1.28813E02 C21 3.76537E10 C39 0.00000E+00 C57 0.00000E+00 C4 6.92444E04 C22 2.41843E14 C40 0.00000E+00 C58 0.00000E+00 C5 5.21278E06 C23 5.70609E14 C41 0.00000E+00 C59 0.00000E+00 C6 2.72060E04 C24 1.55312E13 C42 0.00000E+00 C60 0.00000E+00 C7 3.35289E07 C25 5.63778E13 C43 0.00000E+00 C61 0.00000E+00 C8 2.38015E07 C26 1.72194E12 C44 0.00000E+00 C62 0.00000E+00 C9 1.86100E07 C27 3.64513E12 C45 0.00000E+00 C63 0.00000E+00 C10 1.06353E06 C28 6.10356E12 C46 0.00000E+00 C64 0.00000E+00 C11 2.39274E09 C29 0.00000E+00 C47 0.00000E+00 C65 0.00000E+00 C12 1.23325E10 C30 0.00000E+00 C48 0.00000E+00 C66 0.00000E+00 C13 5.27888E09 C31 0.00000E+00 C49 0.00000E+00 C14 7.12437E09 C32 0.00000E+00 C50 0.00000E+00 C15 1.34163E08 C33 0.00000E+00 C51 0.00000E+00 C16 9.51762E13 C34 0.00000E+00 C52 0.00000E+00 C17 1.48362E11 C35 0.00000E+00 C53 0.00000E+00 C18 9.29390E12 C36 0.00000E+00 C54 0.00000E+00
(57) TABLE-US-00003 TABLE 3 Surface Eccentric data number Shape X Y Z ADE BDE CDE 1 0 0 0 0 0 0 2 Toroidal 1.836 2.033 48.083 30.835 2.234 0.577 3 Free-form surface 1.602 116.142 7.383 41.903 2.082 0.995 4 Toroidal 12.044 5.809 256.018 43.684 5.817 2.521 5 203.349 755.414 511.993 109.093 6.642 8.320
Example 2
(58) TABLE-US-00004 TABLE 4 Surface number Polynomial coefficient 2 C1 0.00000E+00 C19 2.41168E11 C37 0.00000E+00 C55 0.00000E+00 C2 2.37943E02 C20 1.90336E10 C38 0.00000E+00 C56 0.00000E+00 C3 1.69540E02 C21 2.95788E10 C39 0.00000E+00 C57 0.00000E+00 C4 6.95718E04 C22 1.14425E14 C40 0.00000E+00 C58 0.00000E+00 C5 2.53616E05 C23 9.02420E14 C41 0.00000E+00 C59 0.00000E+00 C6 2.93214E04 C24 1.18772E13 C42 0.00000E+00 C60 0.00000E+00 C7 4.97930E07 C25 2.31335E13 C43 0.00000E+00 C61 0.00000E+00 C8 6.24744E07 C26 9.13190E13 C44 0.00000E+00 C62 0.00000E+00 C9 6.72213E07 C27 3.19186E12 C45 0.00000E+00 C63 0.00000E+00 C10 4.12374E07 C28 4.36103E12 C46 0.00000E+00 C64 0.00000E+00 C11 1.40407E09 C29 0.00000E+00 C47 0.00000E+00 C65 0.00000E+00 C12 3.73506E10 C30 0.00000E+00 C48 0.00000E+00 C66 0.00000E+00 C13 4.88892E09 C31 0.00000E+00 C49 0.00000E+00 C14 3.10558E09 C32 0.00000E+00 C50 0.00000E+00 C15 8.54164E09 C33 0.00000E+00 C51 0.00000E+00 C16 8.95059E13 C34 0.00000E+00 C52 0.00000E+00 C17 1.47160E11 C35 0.00000E+00 C53 0.00000E+00 C18 1.83957E12 C36 0.00000E+00 C54 0.00000E+00 3 C1 0.00000E+00 C19 1.44244E10 C37 0.00000E+00 C55 0.00000E+00 C2 5.55069E02 C20 1.13270E09 C38 0.00000E+00 C56 0.00000E+00 C3 2.88012E02 C21 5.86354E10 C39 0.00000E+00 C57 0.00000E+00 C4 1.79659E04 C22 7.19280E13 C40 0.00000E+00 C58 0.00000E+00 C5 2.29361E05 C23 7.83822E12 C41 0.00000E+00 C59 0.00000E+00 C6 4.44075E04 C24 5.78822E14 C42 0.00000E+00 C60 0.00000E+00 C7 2.94434E06 C25 3.58110E12 C43 0.00000E+00 C61 0.00000E+00 C8 4.46411E06 C26 9.17880E12 C44 0.00000E+00 C62 0.00000E+00 C9 2.97119E06 C27 1.87450E11 C45 0.00000E+00 C63 0.00000E+00 C10 3.34442E06 C28 7.35955E11 C46 0.00000E+00 C64 0.00000E+00 C11 1.18069E08 C29 9.28492E15 C47 0.00000E+00 C65 0.00000E+00 C12 2.24904E08 C30 1.66169E14 C48 0.00000E+00 C66 0.00000E+00 C13 3.83585E08 C31 3.33447E14 C49 0.00000E+00 C14 5.06094E09 C32 6.11151E14 C50 0.00000E+00 C15 1.15003E07 C33 7.48046E14 C51 0.00000E+00 C16 4.48742E11 C34 1.58819E13 C52 0.00000E+00 C17 6.52135E11 C35 6.56811E13 C53 0.00000E+00 C18 2.66825E10 C36 1.08622E14 C54 0.00000E+00
(59) TABLE-US-00005 TABLE 5 Surface Eccentric data number Shape X Y Z ADE BDE CDE 1 0 0 0 0 0 0 2 Free-form surface 0.377 6.917 47.660 27.080 0.566 0.024 3 Free-form surface 0.676 119.411 11.103 40.435 0.556 0.108 4 Toroidal 21.177 17.593 255.181 45.060 6.490 4.825 5 245.397 728.488 528.440 110.670 9.006 7.980
Example 3
(60) TABLE-US-00006 TABLE 6 Surface X- Y- number curvature curvature 2 711.0349 628.2919
(61) TABLE-US-00007 TABLE 7 Surface number Polynomial coefficient 3 C1 7.74625E+00 C19 2.49212E11 C37 9.30119E19 C55 5.72526E18 C2 1.73760E02 C20 5.59040E11 C38 1.67547E18 C56 1.43014E22 C3 3.54173E02 C21 2.13743E11 C39 2.20897E19 C57 1.67215E23 C4 5.57437E04 C22 1.14501E15 C40 2.43948E17 C58 4.39331E22 C5 4.91213E05 C23 2.39542E14 C41 2.78455E18 C59 5.33256E22 C6 2.72918E04 C24 5.34863E14 C42 9.89926E18 C60 8.68017E22 C7 6.70001E08 C25 5.49852E13 C43 2.10560E17 C61 1.46669E21 C8 3.68481E07 C26 3.26715E13 C44 4.10178E16 C62 4.57527E21 C9 7.18698E08 C27 9.84776E13 C45 3.85909E16 C63 3.00340E21 C10 1.97712E07 C28 9.93883E13 C46 1.40656E20 C64 2.54986E20 C11 1.61710E09 C29 6.07330E16 C47 1.45731E22 C65 1.92867E21 C12 4.96069E11 C30 1.17494E16 C48 8.90634E20 C66 8.45424E20 C13 3.19279E09 C31 8.05043E16 C49 9.38960E20 C14 2.68371E09 C32 2.62095E15 C50 2.95915E19 C15 5.40272E09 C33 1.69253E15 C51 4.41647E20 C16 1.87291E11 C34 7.25278E15 C52 6.92333E19 C17 1.72096E12 C35 1.56103E14 C53 1.81955E18 C18 5.14945E12 C36 2.44877E14 C54 1.17293E18
(62) TABLE-US-00008 TABLE 8 Surface Eccentric data number Shape X Y Z ADE BDE CDE 1 0 0 0 0 0 0 2 Toroidal 2.933 1.054 45.949 39.465 1.082 4.335 3 Free-form surface 8.680 162.225 18.038 58.032 0.358 4.453 4 Toroidal 59.478 20.245 245.022 31.889 2.347 1.388 5 168.515 800.395 336.634 96.038 4.685 6.441
Example 4
(63) TABLE-US-00009 TABLE 9 Surface number Polynomial coefficient 2 C1 0.00000E+00 C19 1.28160E10 C37 0.00000E+00 C55 0.00000E+00 C2 1.88798E03 C20 4.88795E10 C38 0.00000E+00 C56 0.00000E+00 C3 1.16384E02 C21 4.65021E11 C39 0.00000E+00 C57 0.00000E+00 C4 2.20104E05 C22 1.79401E12 C40 0.00000E+00 C58 0.00000E+00 C5 5.60173E05 C23 9.52643E13 C41 0.00000E+00 C59 0.00000E+00 C6 8.71798E05 C24 1.70778E12 C42 0.00000E+00 C60 0.00000E+00 C7 1.37429E06 C25 9.42122E13 C43 0.00000E+00 C61 0.00000E+00 C8 2.39788E06 C26 2.23806E12 C44 0.00000E+00 C62 0.00000E+00 C9 4.08949E06 C27 1.08763E12 C45 0.00000E+00 C63 0.00000E+00 C10 1.08131E06 C28 4.61590E12 C46 0.00000E+00 C64 0.00000E+00 C11 8.45057E09 C29 0.00000E+00 C47 0.00000E+00 C65 0.00000E+00 C12 4.32821E09 C30 0.00000E+00 C48 0.00000E+00 C66 0.00000E+00 C13 2.24025E08 C31 0.00000E+00 C49 0.00000E+00 C14 1.51402E08 C32 0.00000E+00 C50 0.00000E+00 C15 5.48935E09 C33 0.00000E+00 C51 0.00000E+00 C16 6.11656E11 C34 0.00000E+00 C52 0.00000E+00 C17 2.97250E10 C35 0.00000E+00 C53 0.00000E+00 C18 1.38852E10 C36 0.00000E+00 C54 0.00000E+00 3 C1 4.13454E+00 C19 2.13613E11 C37 5.30403E19 C55 5.51614E18 C2 1.25103E02 C20 4.26555E11 C38 1.84207E18 C56 1.19051E22 C3 3.33999E02 C21 3.42848E11 C39 9.20942E19 C57 7.26209E24 C4 5.57897E04 C22 2.89755E14 C40 2.48408E17 C58 4.55573E22 C5 4.81348E05 C23 2.72475E14 C41 3.64698E18 C59 3.97866E22 C6 2.73964E04 C24 3.73200E14 C42 6.26492E18 C60 7.64242E22 C7 9.02684E08 C25 4.71097E13 C43 1.51546E17 C61 1.46295E21 C8 5.62752E07 C26 2.32457E13 C44 3.47700E16 C62 3.58028E21 C9 4.16046E07 C27 1.07144E12 C45 3.67879E16 C63 4.69101E21 C10 1.75022E07 C28 7.46368E13 C46 1.68651E20 C64 2.21322E20 C11 1.75704E09 C29 5.65531E16 C47 9.24582E22 C65 8.72864E21 C12 3.90988E10 C30 2.56218E16 C48 1.00871E19 C66 7.82403E20 C13 2.80206E09 C31 6.36585E16 C49 8.61703E20 C14 1.45904E09 C32 1.97885E15 C50 2.61479E19 C15 4.27866E09 C33 1.74136E15 C51 6.79566E20 C16 1.86021E11 C34 7.29656E15 C52 6.59543E19 C17 6.34215E13 C35 1.68610E14 C53 1.68901E18 C18 1.08581E11 C36 2.53896E14 C54 9.15230E19
(64) TABLE-US-00010 TABLE 10 Surface Eccentric data number Shape X Y Z ADE BDE CDE 1 0 0 0 0 0 0 2 Free-form surface 3.139 4.384 51.009 33.675 5.137 0.818 3 Free-form surface 9.725 159.210 1.656 50.376 5.155 0.690 4 Toroidal 37.961 47.706 253.040 39.594 7.745 3.307 5 119.229 754.992 459.930 103.782 2.822 13.350
Example 5
(65) TABLE-US-00011 TABLE 11 Surface number Polynomial coefficient 2 C1 0.00000E+00 C19 8.54316E10 C37 0.00000E+00 C55 0.00000E+00 C2 7.43401E02 C20 3.00716E08 C38 0.00000E+00 C56 0.00000E+00 C3 1.26031E01 C21 8.57783E08 C39 0.00000E+00 C57 0.00000E+00 C4 6.47921E04 C22 2.48786E11 C40 0.00000E+00 C58 0.00000E+00 C5 4.33203E05 C23 6.08772E11 C41 0.00000E+00 C59 0.00000E+00 C6 9.13686E06 C24 7.51368E11 C42 0.00000E+00 C60 0.00000E+00 C7 2.70405E06 C25 2.77485E11 C43 0.00000E+00 C61 0.00000E+00 C8 2.15690E05 C26 5.82084E11 C44 0.00000E+00 C62 0.00000E+00 C9 1.00719E05 C27 3.76834E10 C45 0.00000E+00 C63 0.00000E+00 C10 3.62560E05 C28 8.58741E10 C46 0.00000E+00 C64 0.00000E+00 C11 1.28051E07 C29 0.00000E+00 C47 0.00000E+00 C65 0.00000E+00 C12 7.41791E08 C30 0.00000E+00 C48 0.00000E+00 C66 0.00000E+00 C13 1.95578E07 C31 0.00000E+00 C49 0.00000E+00 C14 8.83249E07 C32 0.00000E+00 C50 0.00000E+00 C15 3.04264E06 C33 0.00000E+00 C51 0.00000E+00 C16 1.63944E09 C34 0.00000E+00 C52 0.00000E+00 C17 5.02021E09 C35 0.00000E+00 C53 0.00000E+00 C18 3.61341E09 C36 0.00000E+00 C54 0.00000E+00 3 C1 0.00000E+00 C19 1.05313E10 C37 0.00000E+00 C55 0.00000E+00 C2 7.52284E02 C20 4.81729E11 C38 0.00000E+00 C56 0.00000E+00 C3 3.30535E02 C21 2.49310E10 C39 0.00000E+00 C57 0.00000E+00 C4 8.44337E04 C22 1.70460E13 C40 0.00000E+00 C58 0.00000E+00 C5 6.09928E05 C23 8.10118E14 C41 0.00000E+00 C59 0.00000E+00 C6 4.14469E04 C24 2.61025E13 C42 0.00000E+00 C60 0.00000E+00 C7 7.24104E07 C25 2.44547E13 C43 0.00000E+00 C61 0.00000E+00 C8 1.80204E06 C26 8.29562E13 C44 0.00000E+00 C62 0.00000E+00 C9 3.80002E07 C27 2.79408E13 C45 0.00000E+00 C63 0.00000E+00 C10 6.31093E07 C28 9.61641E13 C46 0.00000E+00 C64 0.00000E+00 C11 1.57841E09 C29 0.00000E+00 C47 0.00000E+00 C65 0.00000E+00 C12 3.45145E09 C30 0.00000E+00 C48 0.00000E+00 C66 0.00000E+00 C13 7.12120E09 C31 0.00000E+00 C49 0.00000E+00 C14 4.93262E09 C32 0.00000E+00 C50 0.00000E+00 C15 2.35792E08 C33 0.00000E+00 C51 0.00000E+00 C16 1.54142E11 C34 0.00000E+00 C52 0.00000E+00 C17 3.73411E11 C35 0.00000E+00 C53 0.00000E+00 C18 3.24326E11 C36 0.00000E+00 C54 0.00000E+00
(66) TABLE-US-00012 TABLE 12 Surface Eccentric data number Shape X Y Z ADE BDE CDE 1 0 0 0 0 0 0 2 Free-form surface 3.163 19.185 38.804 30.903 2.266 3.512 3 Free-form surface 6.488 129.959 34.777 62.496 0.087 4.178 4 Toroidal 1.181 32.392 161.303 26.936 5.181 5.854 5 168.219 775.581 126.260 85.317 12.157 8.390
Example 6
(67) TABLE-US-00013 TABLE 13 Surface number Polynomial coefficient 2 C1 5.31393E+00 C19 4.18832E08 C37 6.59034E15 C55 0.00000E+00 C2 6.14628E02 C20 1.57336E07 C38 3.14026E14 C56 0.00000E+00 C3 4.64893E01 C21 2.09544E07 C39 1.17757E14 C57 0.00000E+00 C4 1.79720E03 C22 4.57278E10 C40 1.12045E13 C58 0.00000E+00 C5 1.12476E04 C23 9.57855E10 C41 3.18139E13 C59 0.00000E+00 C6 4.01159E04 C24 2.75575E10 C42 1.10232E13 C60 0.00000E+00 C7 3.25630E05 C25 1.64775E09 C43 4.23078E13 C61 0.00000E+00 C8 4.60919E06 C26 6.44462E11 C44 1.00736E12 C62 0.00000E+00 C9 6.03291E05 C27 4.46906E10 C45 9.14181E13 C63 0.00000E+00 C10 3.58176E05 C28 2.14478E09 C46 0.00000E+00 C64 0.00000E+00 C11 3.92909E07 C29 3.42160E12 C47 0.00000E+00 C65 0.00000E+00 C12 7.98664E07 C30 1.09891E11 C48 0.00000E+00 C66 0.00000E+00 C13 1.72870E06 C31 4.89577E12 C49 0.00000E+00 C14 5.87419E06 C32 3.37324E12 C50 0.00000E+00 C15 3.61494E06 C33 1.53945E12 C51 0.00000E+00 C16 2.52222E08 C34 1.01476E11 C52 0.00000E+00 C17 1.72663E08 C35 6.54663E11 C53 0.00000E+00 C18 7.33649E08 C36 5.37173E11 C54 0.00000E+00 3 C1 0.00000E+00 C19 1.17932E10 C37 8.18620E18 C55 0.00000E+00 C2 2.08429E02 C20 2.38981E10 C38 6.90889E18 C56 0.00000E+00 C3 1.26733E01 C21 1.05279E09 C39 4.21005E18 C57 0.00000E+00 C4 1.60031E03 C22 8.16294E14 C40 4.25062E17 C58 0.00000E+00 C5 7.79659E05 C23 4.87975E13 C41 1.97423E16 C59 0.00000E+00 C6 1.12460E03 C24 7.68740E13 C42 2.62493E17 C60 0.00000E+00 C7 9.69798E07 C25 3.10216E13 C43 7.93750E16 C61 0.00000E+00 C8 9.17625E07 C26 1.27347E12 C44 1.57455E16 C62 0.00000E+00 C9 1.62679E06 C27 3.78998E12 C45 1.15341E15 C63 0.00000E+00 C10 3.34641E07 C28 8.27369E12 C46 0.00000E+40 C64 0.00000E+00 C11 1.67478E09 C29 2.09554E15 C47 0.00000E+00 C65 0.00000E+00 C12 1.62408E09 C30 2.43596E15 C48 0.00000E+00 C66 0.00000E+00 C13 1.95545E09 C31 2.48185E15 C49 0.00000E+00 C14 1.00740E08 C32 1.04840E14 C50 0.00000E+00 C15 3.43339E08 C33 1.81644E14 C51 0.00000E+00 C16 8.78711E12 C34 4.60001E14 C52 0.00000E+00 C17 2.95545E11 C35 6.00041E15 C53 0.00000E+00 C18 1.72777E10 C36 1.03430E13 C54 0.00000E+00
(68) TABLE-US-00014 TABLE 14 Surface Eccentric data number Shape X Y Z ADE BDE CDE 1 0 0 0 0 0 0 2 Free-form surface 7.045 22.397 30.974 1.945 13.108 0.890 3 Free-form surface 10.138 87.640 41.130 21.652 12.395 4.389 4 Toroidal 28.813 29.813 232.960 57.727 10.200 8.929 5 17.199 635.508 674.614 123.092 0.655 20.204
Example 7
(69) TABLE-US-00015 TABLE 15 Surface X- Y- number curvature curvature 2 603.2021 2654.4
(70) TABLE-US-00016 TABLE 16 Surface number Polynomial coefficient 3 C1 0.00000E+00 C19 4.87235E12 C37 0.00000E+00 C55 0.00000E+00 C2 3.53809E02 C20 1.22754E10 C38 0.00000E+00 C56 0.00000E+00 C3 1.28613E02 C21 3.76537E10 C39 0.00000E+00 C57 0.00000E+00 C4 6.92444E04 C22 2.41643E14 C40 0.00000E+00 C58 0.00000E+00 C5 5.21278E06 C23 5.70609E14 C41 0.00000E+00 C59 0.00000E+00 C6 2.72060E04 C24 1.55312E13 C42 0.00000E+00 C60 0.00000E+00 C7 3.35289E07 C25 5.63778E13 C43 0.00000E+00 C61 0.00000E+00 C8 2.38015E07 C26 1.72194E12 C44 0.00000E+00 C62 0.00000E+00 C9 1.86100E07 C27 3.64513E12 C45 0.00000E+00 C63 0.00000E+00 C10 1.06353E06 C28 6.10356E12 C46 0.00000E+00 C64 0.00000E+00 C11 2.39274E09 C29 0.00000E+00 C47 0.00000E+00 C65 0.00000E+00 C12 1.23325E10 C30 0.00000E+00 C48 0.00000E+00 C66 0.00000E+00 C13 5.27888E09 C31 0.00000E+00 C49 0.00000E+00 C14 7.12437E09 C32 0.00000E+00 C50 0.00000E+00 C15 1.34163E08 C33 0.00000E+00 C51 0.00000E+00 C16 9.51762E13 C34 0.00000E+00 C52 0.00000E+00 C17 1.46362E11 C35 0.00000E+00 C53 0.00000E+00 C18 9.29390E12 C36 0.00000E+00 C54 0.00000E+00
(71) TABLE-US-00017 TABLE 17 Surface Eccentric data number Shape X Y Z ADE BDE CDE 1 0 0 0 0 0 0 2 Toroidal 1.836 2.033 48.083 30.835 2.234 0.577 3 Free-form surface 1.602 116.142 7.383 41.903 2.082 0.995 4 Toroidal 12.044 5.809 556.018 43.684 5.817 2.521 5 203.349 755.414 511.993 109.093 6.642 8.320
Example 8
(72) TABLE-US-00018 TABLE 18 Surface number Polynomial coefficient 2 C1 0.00000E+00 C19 3.35093E08 C37 4.64867E18 C55 0.00000E+00 C2 6.57571E02 C20 4.47809E08 C38 2.62063E13 C56 0.00000E+00 C3 4.62022E03 C21 3.65465E08 C39 2.32728E13 C57 0.00000E+00 C4 4.20899E04 C22 7.12345E10 C40 1.72566E12 C58 0.00000E+00 C5 3.31024E04 C23 7.68166E10 C41 1.30769E12 C59 0.00000E+00 C6 2.15702E03 C24 3.18443E10 C42 1.36316E13 C60 0.00000E+00 C7 3.14987E05 C25 1.59290E09 C43 3.87410E12 C61 0.00000E+00 C8 1.70716E05 C26 2.88191E09 C44 5.36870E12 C62 0.00000E+00 C9 1.38602E05 C27 2.36459E09 C45 3.92007E12 C63 0.00000E+00 C10 1.66481E05 C28 1.48624E09 C46 0.00000E+00 C64 0.00000E+00 C11 5.55736E08 C29 1.11929E11 C47 0.00000E+00 C65 0.00000E+00 C12 6.23406E08 C30 7.08850E12 C48 0.00000E+00 C86 0.00000E+00 C13 4.48889E07 C31 3.58639E11 C49 0.00000E+00 C14 8.94241E07 C32 3.21771E11 C50 0.00000E+00 C15 6.91527E07 C33 1.22466E11 C51 0.00000E+00 C16 2.06883E08 C34 6.76941E11 C52 0.00000E+00 C17 7.39764E09 C35 9.53552E11 C53 0.00000E+00 C18 1.73937E08 C36 8.49188E11 C54 0.00000E+00 3 C1 0.00000E+00 C19 7.36894E11 C37 0.00000E+00 C55 0.00000E+00 C2 1.05136E01 C20 1.83107E10 C38 0.00000E+00 C56 0.00000E+00 C3 9.03206E03 C21 5.31482E10 C39 0.00000E+00 C57 0.00000E+00 C4 3.19326E03 C22 8.61567E14 C40 0.00000E+00 C58 0.00000E+00 C5 3.35742E05 C23 2.91138E13 C41 0.00000E+00 C59 0.00000E+00 C6 2.55373E03 C24 3.14511E13 C42 0.00000E+00 C60 0.00000E+00 C7 1.46521E06 C25 4.12771E13 C43 0.00000E+00 C61 0.00000E+00 C8 1.06354E06 C26 6.36879E12 C44 0.00000E+00 C62 0.00000E+00 C9 1.19716E06 C27 2.56930E11 C45 0.00000E+00 C63 0.00000E+00 C10 3.22353E07 C28 3.20213E11 C46 0.00000E+00 C64 0.00000E+00 C11 8.49822E09 C29 0.00000E+00 C47 0.00000E+00 C65 0.00000E+00 C12 1.76954E09 C30 0.00000E+00 C48 0.00000E+00 C66 0.00000E+00 C13 1.83426E08 C31 0.00000E+00 C49 0.00000E+00 C14 2.01842E08 C32 0.00000E+00 C51 0.00000E+00 C15 4.03481E08 C33 0.00000E+00 C51 0.00000E+00 C16 9.97452E12 C34 0.00000E+00 C52 0.00000E+00 C17 4.38612E11 C35 0.00000E+00 C53 0.00000E+00 C18 2.75237E11 C36 0.00000E00 C54 0.00000E+00
(73) TABLE-US-00019 TABLE 19 Surface Eccentric data number Shape X Y Z ADE BDE CDE 1 0 0 0 0 0 0 2 Free-form surface 0.477 4.508 19.660 36.499 3.118 0.887 3 Free-form surface 5.643 130.971 6.704 59.994 3.213 0.429 4 Toroidal 101.437 2.506 198.814 30.423 6.255 15.582 5 359.723 706.261 310.727 105.859 18.828 9.605
(74) Table 20 illustrates examples of the display size of the image, the virtual image size, and the distance from the user's viewpoint to the virtual image in Examples 1 to 6. Table 21 illustrates examples of numerical values derived from parameters of D12: the interval between first mirror 13 and second mirror 14, Lv: the longitudinal length (Ttan ) of virtual image 40, T: the distance from the pupil of user 30 to virtual image 40 in
(75) TABLE-US-00020 TABLE 20 Example 1 Example 2 Example 3 Example 4 Example 5 Example 6 Display size X 97.6 97.6 100.0 100.0 40.9 14.4 Y 36.6 36.6 50.0 50.0 20.5 38.4 Virtual image size X 420.0 420.0 540.0 540.0 252.0 300.0 Y 157.5 157.5 270.0 270.0 126.0 112.5 Distance between 2100 2100 2700 2700 2100 2500 pupil and virtual image
(76) TABLE-US-00021 TABLE 21 Example 1 Example 2 Example 3 Example 4 Example 5 Example 6 D12/Lv 0.84 0.86 0.61 0.61 0.69 0.90 (T Lv)/Yv 0.10 0.10 0.05 0.05 0.16 0.20
(77) The present technology is suitable for the display apparatus, such as the on-vehicle headup display, in which the high image quality is required.