Camera lens of catadioptric optical system

Abstract

Provided is a camera lens of a catadioptric optical system, consisting of two lens assemblies and one lens group and having a small height, a narrow angle, and good optical characteristics. The camera lens includes: a first lens assembly including an object side surface having a first refractive surface and a second reflective surface in a peripheral region and a central region thereof, and an image side surface having a second refractive surface, a fifth refractive surface and a sixth refractive surface that are sequentially arranged from a peripheral region to a central region thereof; a second lens assembly including an object side surface having a third refractive surface and a fourth refractive surface that are sequentially arranged from a peripheral region to a central region thereof, and an image side surface having a first reflective surface; and a third lens group having a refractive power.

Claims

1. A camera lens of a catadioptric optical system, comprising, sequentially from an object side: a first lens assembly having a reflective power and a refractive power, wherein an object side surface of the first lens assembly comprises a first refractive surface in a peripheral region thereof and a second reflective surface in a central region thereof, and an image side surface of the first lens assembly comprises, sequentially from a peripheral region to a central region thereof, a second refractive surface, a fifth refractive surface and a sixth refractive surface, wherein the second refractive surface and the sixth refractive surface are connected through the fifth refractive surface; a second lens assembly having a reflective power and a refractive power, wherein an object side surface of the second lens assembly comprises, sequentially from a peripheral region to a central region thereof, a third refractive surface and a fourth refractive surface, and an image side surface of the second lens assembly comprises a first reflective surface; and a third lens group having a refractive power, wherein the camera lens satisfies following conditions:
0.035≤(nd1/v1)+(nd2/v2)≤0.085;
−0.85≤TTL/f3g≤−0.20; and
−0.40≤(nd1+nd2)/f3≤g≤−0.10, where nd1 denotes a refractive index of d line of the first lens assembly; nd2 denotes a refractive index of d line of the second lens assembly; v1 denotes an abbe number of the first lens assembly; v2 denotes an abbe number of the second lens assembly; TTL denotes an optical length indicating an on-axis distance from the second reflective surface to an image plane; and f3g denotes a combined focal length of the third lens group.

2. The camera lens as described in claim 1, wherein an object side surface of the third lens assembly comprises a seventh refractive surface; and wherein the camera lens further satisfies a following condition:
−0.20≤d9/f3g≤0.00, where d9 denotes an on-axis distance from the sixth refractive surface to a seventh refractive surface.

3. The camera lens as described in claim 1, further satisfying a following condition:
0.25≤TTL/f≤0.35, where TTL denotes an optical length indicating an on-axis distance from the second reflective surface to an image plane; and f denotes a focal length of the whole optical system of camera lens.

4. The camera lens as described in claim 1, further satisfying a following condition:
3.05≤TTL/IH≤3.40, where TTL denotes an optical length indicating an on-axis distance from the second reflective surface to an image plane; and IH denotes a maximum image height.

Description

BRIEF DESCRIPTION OF DRAWINGS

(1) FIG. 1 is a schematic diagram showing an overview of a structure of a camera lens LA according to a first embodiment of the present invention;

(2) FIG. 2 is diagrams of a spherical aberration, a field curvature, a distortion of the camera lens LA according to the first embodiment of the present invention;

(3) FIG. 3 is a schematic diagram showing an overview of a structure of a camera lens LA according to a second embodiment of the present invention;

(4) FIG. 4 is diagrams of a spherical aberration, a field curvature, a distortion of the camera lens LA according to the second embodiment of the present invention;

(5) FIG. 5 is a schematic diagram showing an overview of a structure of a camera lens LA according to a third embodiment of the present invention;

(6) FIG. 6 is diagrams of a spherical aberration, a field curvature, a distortion of the camera lens LA according to the third embodiment of the present invention;

(7) FIG. 7 is a schematic diagram showing an overview of a structure of a camera lens LA according to a fourth embodiment of the present invention; and

(8) FIG. 8 is diagrams of a spherical aberration, a field curvature, a distortion of the camera lens LA according to the fourth embodiment of the present invention.

DESCRIPTION OF EMBODIMENTS

(9) The embodiments of the camera lens of the catadioptric optical system according to the present invention will be described below. The camera lens LA of the catadioptric optical system is provided with a lens system. The lens system includes a first lens assembly L1, a second lens assembly L2 and a third lens group Gr3 (i.e., two lens assemblies and one lens group), arranged from an object side to an image side. A glass plate GF is arranged between the third lens group Gr3 and an image plane. A cover glass plate or any of various filters can be used as the glass plate GF. In the present invention, the glass plate GF may be arranged at different positions, or may also be omitted.

(10) The camera lens includes the first lens assembly L1 having a reflective power and a refractive power, the second lens assembly L2 having a reflective power and a refractive power, and the third lens group Gr3 having a refractive power. An object side surface of the first lens assembly L1 includes a first refractive surface S1 in its peripheral region and a second reflective surface S7 in its central region. An image side surface of the first lens assembly L1 includes a second refractive surface S2, a fifth refractive surface S6 and a sixth refractive surface S8 that are sequentially arranged from its peripheral region to its central region. An object side surface of the second lens assembly L2 includes a third refractive surface S3 and a fourth refractive surface S5 that are sequentially arranged from its peripheral region to its central region, and an image side surface of the second lens assembly L2 includes a first reflective surface S4. In order to correct various aberrations, it is desirable to design all surfaces of these two lens assemblies and one lens group as aspherical surfaces.

(11) Herein, the central region refers to a region near a center of a lens surface, which is an optical axis of the lens, and the peripheral region refers to a region of the lens surface excluding the central region, i.e., a region near a periphery of the lens surface.

(12) Light incident to the first refractive surface S1 passes through the second refractive surface S2 and the third refractive surface S3 sequentially, and then is reflected by the first reflective surface S4. After that, the light passes through the fourth refractive surface S5 and the fifth refractive surface S6 and is then incident to the second reflective surface S7, and after being reflected by the second reflective surface S7, the light passes through the sixth refractive surface S8 and is then incident to the third lens group Gr3.

(13) In an example, the first lens assembly L1 is of a unibody structure, and the second lens assembly L2 is of a unibody structure. In another example, at least one of the first lens assembly and the second lens assembly may be a cemented lens.

(14) The camera lens LA of the catadioptric optical system satisfies the following conditions (1) to (2):
0.035≤(nd1/v1)+(nd2/v2)≤0.085  (1);
−0.40≤(nd1+nd2)/f3g≤−0.10  (2),

(15) where nd1 denotes a refractive index of d line of the first lens assembly;

(16) nd2 denotes a refractive index of d line of the second lens assembly;

(17) v1 denotes an abbe number of the first lens assembly;

(18) v2 denotes an abbe number of the second lens assembly; and

(19) f3g denotes a combined focal length of the third lens group.

(20) The condition (1) specifies a ratio of the refractive index of the first lens assembly to the abbe number of the first lens assembly and a ratio of the refractive index of the second lens assembly to the abbe number of the second lens assembly. If it is outside the range of condition (1), it is difficult to achieve a narrow angle and a small height with good optical characteristics, which is not preferable.

(21) The condition (2) specifies a ratio of the refractive index of the first lens assembly to the combined focal length of the third lens group and a ratio of the refractive index of the second lens assembly to the combined focal length of the third lens group. If it is outside the range of condition (2), correction of aberrations becomes more difficult, which is not preferable.

(22) The camera lens LA of the catadioptric optical system satisfies the following condition (3):
−0.20≤d9/f3g≤0.00  (3),

(23) where d9 denotes an on-axis distance from the sixth refractive surface S8 to the seventh refractive surface S9; and

(24) f3g denotes the combined focal length of the third lens group.

(25) The condition (3) specifies a ratio of an on-axis air gap between the first lens assembly L1 and the third lens group Gr3 to the combined focal length of the third lens group. If it is within the range of condition (3), a camera lens having a narrow angle and a small height with good optical characteristics can be easily achieved, which is preferable.

(26) The first lens assembly L1 satisfies the following condition (4):
0.25≤TTL/f≤0.35  (4),

(27) where TTL denotes an optical length indicating an on-axis distance from the second reflective surface to an image plane; and

(28) f denotes a focal length of the camera lens of the catadioptric optical system.

(29) The condition (4) specifies a ratio of the optical length to the focal length. If it is below an upper limit of the condition (4), a narrow angle can be easily achieved. If it is above a lower limit of the condition (4), correction of a spherical aberration and a coma can be easily achieved. Thus, the condition (4) is preferable.

(30) The camera lens LA of the catadioptric optical system satisfies the following condition (5):
−0.85≤TTL/f3g≤−0.20  (5),

(31) where TTL denotes the optical length indicating an on-axis distance from the second reflective surface to an image plane; and

(32) f3g denotes the combined focal length of the third lens group.

(33) The condition (5) specifies a ratio of the optical length to the combined focal length of the third lens group Gr3. If it is below an upper limit of the condition (5), a narrow angle can be easily achieved. If it is above a lower limit of the condition (5), correction of a spherical aberration and a coma can be easily achieved. Thus, the condition (5) is preferable.

(34) The camera lens LA of the catadioptric optical system satisfies the following condition (6):
3.05≤TTL/IH≤3.40  (6),

(35) where TTL denotes the optical length indicating an on-axis distance from the second reflective surface to an image plane; and

(36) IH denotes a maximum image height.

(37) The condition (6) specifies a ratio of the optical length to the maximum image height. If it is below an upper limit of the condition (6), a small height can be achieved to a great extent for the optical length with respect to the image height. If it is above a lower limit of the condition (6), correction of a spherical aberration and a coma can be easily achieved. Thus, the condition (6) is preferable.

(38) The two lens assemblies and one lens group of the camera lens LA satisfy the above construction and conditions, so as to obtain the camera lens of a catadioptric optical system consisting of two lens assemblies and one lens group and having a small height, a narrow angle, and good optical characteristics.

EMBODIMENTS

(39) The camera lens LA of the catadioptric optical system according to the present invention will be described with reference to the embodiments below. The reference signs described in the embodiments are listed below. In addition, the distance, radius and center thickness are all in a unit of mm.

(40) f: focal length of the camera lens LA of the catadioptric optical system;

(41) f3g: combined focal length of the third lens group;

(42) Fno: F number;

(43) 2ω: full field of view;

(44) STOP: aperture;

(45) R: curvature radius of an optical surface, a central curvature radius for a lens;

(46) R1: curvature radius of the first refractive surface S1;

(47) R2: curvature radius of the second refractive surface S2;

(48) R3: curvature radius of the third refractive surface S3;

(49) R4: curvature radius of the first reflective surface S4;

(50) R5: curvature radius of the fourth refractive surface S5;

(51) R6: curvature radius of the fifth refractive surface S6;

(52) R7: curvature radius of the second reflective surface S7;

(53) R8: curvature radius of the sixth refractive surface S8;

(54) R9: curvature radius of the seventh refractive surface S9;

(55) R10: curvature radius of the eighth refractive surface S10;

(56) R11: curvature radius of the ninth refractive surface S11;

(57) R12: curvature radius of the tenth refractive surface S12;

(58) R13: curvature radius of an object side surface of the glass plate GF;

(59) R14: curvature radius of an image side surface of the glass plate GF;

(60) d: center thickness of a lens or distance between lenses;

(61) d1: on-axis center thickness from the first refractive surface S1 to the second refractive surface S2;

(62) d2: on-axis distance from the second refractive surface S2 to the aperture STOP;

(63) d3: on-axis distance from the aperture STOP to the third refractive surface S3;

(64) d4: on-axis center thickness from the third refractive surface S3 to the first reflective surface S4;

(65) d5: on-axis center thickness from the first reflective surface S4 to the fourth refractive surface S5;

(66) d6: on-axis distance from the fourth refractive surface S5 to the fifth refractive surface S6;

(67) d7: on-axis center thickness from the fifth refractive surface S6 to the second reflective surface S7;

(68) d8: on-axis center thickness from the second reflective surface S7 to the sixth refractive surface S8;

(69) d9: on-axis distance from the sixth refractive surface S8 to the seventh refractive surface S9;

(70) d10: on-axis center thickness from the seventh refractive surface S9 to the eighth refractive surface S10;

(71) d11: on-axis distance from the eighth refractive surface S10 to the ninth refractive surface S11;

(72) d12: on-axis center thickness from the ninth refractive surface S11 to the tenth refractive surface S12;

(73) d13: on-axis distance from the tenth refractive surface S12 to an object side surface S13 of the glass plate GF;

(74) d14: center thickness of the glass plate GF;

(75) d15: on-axis distance from an image side surface S13 of the glass plate GF to the image plane;

(76) TTL: total optical length (on-axis distance from the second reflective surface S7 to the image plane);

(77) LB: on-axis distance from the image side surface of the third lens group Gr3 to the image plane (including a thickness of the glass plate GF); and

(78) IH: maximum image height.
Y=(x.sup.2/R)/[1+{1−(k+1)(x.sup.2/R2)}.sup.1/2]+A4x.sup.4+A6x.sup.6+A8x.sup.8+A10x.sup.10+A12x.sup.12+A14x.sup.14+A16x.sup.16+A18x.sup.18+A20x.sup.20  (7)

(79) For convenience, the aspheric surface of each lens surface uses the aspheric surface defined in Equation (7). However, the present invention is not limited to the aspherical polynomial defined in Equation (7).

First Embodiment

(80) FIG. 1 is a schematic diagram of a camera lens LA of a catadioptric optical system according to a first embodiment of the present invention. The curvature radiuses R of the reflective surfaces and refractive surfaces of the first lens assembly L1 to the glass plate GF of the camera lens LA of the catadioptric optical system according to the first embodiment, the center thicknesses of the lenses, or distances d between the lenses, refractive indexes nd, Abbe numbers v are shown in Table 1; conic coefficients k and aspheric coefficients are shown in Table 2; and 2ω, Fno, f, f3g, TTL, LB, and IH are shown in Table 3.

(81) TABLE-US-00001 TABLE 1 Effective R d nd νd Radius(mm) S1 R1 15.23826 d1 3.560 nd1 1.4959 ν1 81.65 7.113 S2 R2 −135.80741 d2 −0.466 6.904 STOP ∞ 2.099 6.696 S3 R3 −10.71940 d4 0.639 nd2 1.4959 ν2 81.65 6.684 S4 R4 13.08165 d5 −0.639 6.703 S5 R5 −10.71940 d6 −1.633 5.941 S6 R6 −135.80741 d7 −2.954 nd1 1.4959 ν1 81.65 4.990 S7 R7 −5.22435 d8 2.954 2.200 S8 R8 −135.80741 d9 0.400 1.875 S9 R9 5.16188 d10 0.819 nd3 1.5346 ν3 55.69 1.830 S10 R10 −14.42188 d11 0.542 1.829 S11 R11 −7.59467 d12 0.538 nd4 1.5346 ν4 55.69 1.808 S12 R12 2.15010 d13 0.600 2.070 S13 R13 ∞ d14 0.210 ndg 1.5168 νg 64.17 2.140 S14 R14 ∞ d15 0.267 2.162 Reference Wavelength = 588 nm

(82) TABLE-US-00002 TABLE 2 Conic coefficient Aspherical coefficient k A4 A6 A8 A10 S1 0.0000E+00 −2.9882E−04 9.6686E−06 −1.1090E−06 8.9690E−08 S2 0.0000E+00 −8.2200E−04 −7.6322E−08   1.3138E−06 −8.2141E−08  S3 6.3355E−01 −5.6827E−04 1.5955E−04 −1.8191E−05 1.1276E−06 S4 −1.9425E−01  −1.0691E−04 4.2839E−05 −4.7389E−06 2.7817E−07 S5 6.3355E−01 −5.6827E−04 1.5955E−04 −1.8191E−05 1.1276E−06 S6 0.0000E+00 −8.2200E−04 −7.6322E−08   1.3138E−06 −8.2141E−08  S7 −1.5551E+00   4.0822E−04 −4.2586E−03   5.5346E−03 −4.4716E−03  S8 0.0000E+00 −8.2200E−04 −7.6322E−08   1.3138E−06 −8.2141E−08  S9 0.0000E+00 −2.7155E−02 3.7329E−02 −4.9331E−02 3.6312E−02 S10 0.0000E+00 −6.1470E−02 5.5202E−02 −6.3484E−02 6.1757E−02 S11 0.0000E+00 −2.8363E−01 2.6927E−01 −2.1879E−01 1.7026E−01 S12 0.0000E+00 −2.6983E−01 2.4864E−01 −2.0038E−01 1.2624E−01 Aspherical coefficient A12 A14 A16 A18 A20 S1 −4.3020E−09 1.2505E−10 −2.1479E−12 2.0158E−14 −8.0755E−17 S2  2.9243E−09 −5.6780E−11   5.4307E−13 −1.9608E−15   0.0000E+00 S3 −4.0156E−08 8.6093E−10 −1.1123E−11 8.0872E−14 −2.5602E−16 S4 −9.5363E−09 1.9331E−10 −2.4734E−12 1.7045E−14 −4.9621E−17 S5 −4.0156E−08 8.6093E−10 −1.1123E−11 8.0872E−14 −2.5602E−16 S6  2.9243E−09 −5.6780E−11   5.4307E−13 −1.9608E−15   0.0000E+00 S7  2.2137E−03 −6.7402E−04   1.2367E−04 −1.2562E−05   5.4315E−07 S8  2.9243E−09 −5.6780E−11   5.4307E−13 −1.9608E−15   0.0000E+00 S9 −1.2371E−02 1.6615E−04  1.2160E−03 −3.5054E−04   3.2072E−05 S10 −3.7418E−02 1.3538E−02 −2.7960E−03 2.8515E−04 −9.2005E−06 S11 −1.0447E−01 4.3280E−02 −1.1156E−02 1.6124E−03 −9.9629E−05 S12 −5.8050E−02 1.8177E−02 −3.6366E−03 4.1781E−04 −2.0987E−05

(83) TABLE-US-00003 TABLE 3 2ω (°) 9.52 Fno 1.75 f (mm) 24.500 f3g (mm) −7.570 TTL (mm) 6.330 LB (mm) 1.077 IH (mm) 2.040

(84) The following Table 13 shows the corresponding values of the parameters defined in the conditions (1) to (6) of the first to fourth embodiments.

(85) The first embodiment satisfies the conditions (1) to (6), as shown in Table 13.

(86) FIG. 2 illustrates a spherical aberration, a field curvature, and a distortion of the camera lens LA of the catadioptric optical system according to the first embodiment. In addition, in FIG. 2, S is a field curvature for a sagittal image plane, and T is a field curvature for a meridional image plane, which are the same for the second to fourth embodiments. As shown in FIG. 2, the camera lens LA of the catadioptric optical system according to the first embodiment has a narrow angle, 2ω=9.52°, and a small height, i.e., TTL/f=0.258, and good optical characteristics.

Second Embodiment

(87) FIG. 3 is a schematic diagram of a camera lens LA of a catadioptric optical system according to a second embodiment of the present invention. The curvature radiuses R of the reflective surfaces and refractive surfaces of the first lens assembly L1 to the glass plate GF of the camera lens LA of the catadioptric optical system according to the second embodiment, the center thicknesses of the lenses, or distances d between the lenses, refractive indexes nd, Abbe numbers v are shown in Table 4; conic coefficients k and aspheric coefficients are shown in Table 5; and 2ω, Fno, f, f3g, TTL, LB, and IH are shown in Table 6.

(88) TABLE-US-00004 TABLE 4 Effective R d nd νd Radius(mm) S1 R1 22.06493 d1 3.241 nd1 1.8052 ν1 40.89 5.619 S2 R2 −71.82522 d2 −0.030 5.368 STOP ∞ 1.595 5.147 S3 R3 −11.16480 d4 0.900 nd2 1.7503 ν2 44.94 5.060 S4 R4 −13.71946 d5 −0.900 5.123 S5 R5 −11.16480 d6 −1.565 4.469 S6 R6 −71.82522 d7 −2.925 nd1 1.8052 ν1 40.89 3.511 S7 R7 −7.52371 d8 2.925 2.200 S8 R8 −71.82522 d9 0.169 1.903 S9 R9 −7.84643 d10 0.990 nd3 1.5346 ν3 55.69 1.904 S10 R10 −3.82643 d11 0.231 1.824 S11 R11 92.02379 d12 1.000 nd4 1.5346 ν4 55.69 1.805 S12 R12 4.58532 d13 0.600 2.009 S13 R13 ∞ d14 0.210 ndg 1.5168 νg 64.17 2.061 S14 R14 ∞ d15 0.800 2.074 Reference Wavelength = 588 nm

(89) TABLE-US-00005 TABLE 5 Conic coefficient Aspherical coefficient k A4 A6 A8 A10 S1 0.0000E+00 −2.9673E−04 1.0800E−05 −1.2154E−06 1.3680E−07 S2 0.0000E+00 −7.4311E−04 2.0448E−05  2.4449E−07 −6.8341E−08  S3 4.3150E−01 −6.2381E−04 1.6211E−04 −1.8133E−05 1.1252E−06 S4 9.8095E−02 −1.2121E−04 4.2336E−05 −4.7297E−06 2.7910E−07 S5 4.3150E−01 −6.2381E−04 1.6211E−04 −1.8133E−05 1.1252E−06 S6 0.0000E+00 −7.4311E−04 2.0448E−05  2.4449E−07 −6.8341E−08  S7 −5.6500E−01   7.0435E−04 −4.4232E−03   5.6931E−03 −4.5018E−03  S8 0.0000E+00 −7.4311E−04 2.0448E−05  2.4449E−07 −6.8341E−08  S9 0.0000E+00 −1.7940E−03 7.4713E−04  9.4977E−03 −1.0907E−02  S10 0.0000E+00 −7.2542E−02 1.1405E−01 −1.1683E−01 1.0022E−01 S11 0.0000E+00 −1.3174E−01 1.2915E−01 −1.1688E−01 9.8577E−02 S12 0.0000E+00 −7.1386E−02 4.1586E−02 −3.0070E−02 2.1124E−02 Aspherical coefficient A12 A14 A16 A18 A20 S1 −9.6539E−09 4.0759E−10 −1.0179E−11 1.3878E−13 −7.9553E−16 S2  3.4981E−09 −8.3229E−11   8.5525E−13 −1.7604E−15   0.0000E+00 S3 −4.0281E−08 8.6278E−10 −1.1010E−11 7.9096E−14 −2.2534E−16 S4 −9.5413E−09 1.9757E−10 −2.5104E−12 2.0368E−14 −1.0031E−16 S5 −4.0281E−08 8.6278E−10 −1.1010E−11 7.9036E−14 −2.2534E−16 S6  3.4981E−09 −8.3229E−11   8.5525E−13 −1.7604E−15   0.0000E+00 S7  2.2137E−03 −6.7402E−04   1.2367E−04 −1.2562E−05   5.4315E−07 S8  3.4981E−09 −8.3229E−11   8.5525E−13 −1.7604E−15   0.0000E+00 S9  7.1291E−03 −3.0380E−03   7.9411E−04 −1.1239E−04   6.5918E−06 S10 −6.2190E−02 2.5655E−02 −6.6246E−03 9.6232E−04 −5.9223E−05 S11 −6.5194E−02 2.9471E−02 −8.3830E−03 1.3435E−03 −9.1877E−05 S12 −1.1572E−02 4.3100E−03 −1.0062E−03 1.3206E−04 −7.4075E−06

(90) TABLE-US-00006 TABLE 6 2ω (°) 11.27 Fno 1.85 f (mm) 20.075 f3g (mm) −33.801 TTL (mm) 6.924 LB (mm) 1.610 IH (mm) 2.040

(91) As shown in Table 13, the second embodiment satisfies the conditions (1) to (6).

(92) FIG. 4 illustrates a spherical aberration, a field curvature, and a distortion of the camera lens LA of the catadioptric optical system according to the second embodiment. As shown in FIG. 4, the camera lens LA of the catadioptric optical system according to the second embodiment has a narrow angle, 2ω=11.27°, and a small height, i.e., TTL/f=0.345, and good optical characteristics.

Third Embodiment

(93) FIG. 5 is a schematic diagram of a camera lens LA of a catadioptric optical system according to a third embodiment of the present invention. The curvature radiuses R of the reflective surfaces and refractive surfaces of the first lens assembly L1 to the glass plate GF of the camera lens LA of the catadioptric optical system according to the third embodiment, the center thicknesses of the lenses, or distances d between the lenses, refractive indexes nd, Abbe numbers v are shown in Table 7; conic coefficients k and aspheric coefficients are shown in Table 8; and 2ω, Fno, f, f3g, TTL, LB, and IH are shown in Table 9.

(94) TABLE-US-00007 TABLE 7 Effective R d nd νd Radius(mm) S1 R1 17.22592 d1 2.729 nd1 1.5444 ν1 55.82 5.022 S2 R2 −65.36814 d2 −0.038 4.732 STOP ∞ 1.663 4.649 S3 R3 −10.54716 d4 0.637 nd2 1.5444 ν2 55.82 4.597 S4 R4 −12.74110 d5 −0.637 4.647 S5 R5 −10.54716 d6 −1.625 4.206 S6 R6 −65.36814 d7 −2.366 nd1 1.5444 ν1 55.82 3.239 S7 R7 −6.52935 d8 2.366 2.200 S8 R8 −65.36814 d9 2.347 1.830 S9 R9 3.60256 d10 0.437 nd3 1.5346 ν3 55.69 1.841 S10 R10 2.47703 d11 0.111 1.797 S11 R11 6.46578 d12 0.371 nd4 1.5346 ν4 55.89 1.900 S12 R12 5.00895 d13 0.600 2.086 S13 R13 ∞ d14 0.210 ndg 1.5168 νg 64.17 2.056 S14 R14 ∞ d15 0.188 2.098 Reference Wavelength = 588 nm

(95) TABLE-US-00008 TABLE 8 Conic coefficient Aspherical coefficient k A4 A6 A8 A10 S1 0.0000E+00 −5.8079E−04 9.0322E−05 −1.4149E−05 1.4255E−06 S2 0.0000E+00 −9.0589E−04 8.2078E−05 −1.0066E−05 9.0987E−07 S3 −1.0961E−01  −5.5024E−04 1.6376E−04 −1.8114E−05 1.1253E−06 S4 −9.5538E−02  −1.1009E−04 4.2789E−05 −4.7317E−06 2.7834E−07 S5 −1.0961E−01  −5.5024E−04 1.6376E−04 −1.8114E−05 1.1253E−06 S6 0.0000E+00 −9.0589E−04 8.2078E−05 −1.0066E−05 9.0967E−07 S7 −1.5064E+00   8.6533E−04 −4.1759E−03   5.5843E−03 −4.4789E−03  S8 0.0000E+00 −9.0589E−04 8.2078E−05 −1.0066E−05 9.0967E−07 S9 0.0000E+00 −3.5216E−02 −1.5217E−01   4.5657E−01 −7.7265E−01  S10 0.0000E+00 −1.1553E−01 −3.1943E−02   9.4861E−02 −1.2803E−01  S11 0.0000E+00 −7.4161E−04 −3.7707E−01   6.8505E−01 −5.8939E−01  S12 0.0000E+00  5.5303E−02 −3.5384E−01   5.8312E−01 −4.8864E−01  Aspherical coefficient A12 A14 A16 A18 A20 S1 −9.3374E−08 4.0455E−09 −1.1199E−10 1.7917E−12 −1.2534E−14  S2 −4.9543E−08 1.6281E−09 −2.9940E−11 2.4697E−13 0.0000E+00 S3 −4.0355E−08 8.6027E−10 −1.0734E−11 9.3909E−14 −6.9475E−16  S4 −9.5512E−09 1.9827E−10 −2.4533E−12 1.9526E−14 −1.2049E−16  S5 −4.0355E−08 8.6027E−10 −1.0734E−11 9.3909E−14 −6.9475E−16  S6 −4.9543E−08 1.6261E−09 −2.9940E−11 2.4697E−13 0.0000E+00 S7  2.2182E−03 −6.7735E−04   1.2366E−04 −1.2432E−05  5.4315E−07 S8 −4.9543E−08 1.6261E−09 −2.9940E−11 2.4697E−13 0.0000E+00 S9  7.3377E−01 −4.0625E−01   1.2903E−01 −2.1670E−02  1.4890E−03 S10  9.1270E−02 −3.8888E−02   1.0021E−02 −1.4514E−03  9.3397E−05 S11  2.7766E−01 −7.3236E−02   1.0088E−02 −5.4614E−04  −3.5235E−06  S12  2.4124E−01 −7.3488E−02   1.3603E−02 −1.4047E−03  6.2140E−05

(96) TABLE-US-00009 TABLE 9 2ω (°) 10.79 Fno 2.20 f (mm) 21.384 f3g (mm) −12.354 TTL (mm) 6.630 LB (mm) 0.998 IH (mm) 2.040

(97) As shown in Table 13, the third embodiment satisfies the conditions (1) to (6).

(98) FIG. 6 illustrates a spherical aberration, a field curvature, and a distortion of the camera lens LA of the catadioptric optical system according to the third embodiment. As shown in FIG. 6, the camera lens LA of the catadioptric optical system according to the third embodiment has a narrow angle, 2ω=10.79°, and a small height, i.e., TTL/f=0.31, and good optical characteristics.

Fourth Embodiment

(99) FIG. 7 is a schematic diagram of a camera lens LA of a catadioptric optical system according to a fourth embodiment of the present invention. The curvature radiuses R of the reflective surfaces and refractive surfaces of the first lens assembly L1 to the glass plate GF of the camera lens LA of the catadioptric optical system according to the fourth embodiment, the center thicknesses of the lenses, or distances d between the lenses, refractive indexes nd, Abbe numbers v are shown in Table 10; conic coefficients k and aspheric coefficients are shown in Table 11; and 2ω, Fno, f, f3g, TTL, LB, and IH are shown in Table 12.

(100) TABLE-US-00010 TABLE 10 Effective R d nd νd Radius(mm) S1 R1 17.17695 d1 3.478 nd1 1.5444 ν1 55.82 5.957 S2 R2 −71.08517 d2 0.375 5.454 STOP ∞ 1.191 5.362 S3 R3 −11.37815 d4 0.831 nd2 1.5444 ν2 55.82 5.369 S4 R4 −14.67556 d5 −0.831 5.473 S5 R5 −11.37815 d6 −1.566 4.923 S6 R6 −71.08517 d7 −3.138 nd1 1.5444 ν1 55.82 3.943 S7 R7 −7.66770 d8 3.138 2.200 S8 R8 −71.08517 d9 1.313 1.936 S9 R9 7.16843 d10 1.000 nd3 1.5346 ν3 55.69 1.805 S10 R10 3.27047 d11 0.600 2.023 S11 R11 ∞ d12 0.210 ndg 1.5168 νg 84.17 2.053 S12 R12 ∞ d13 0.360 2.067 Reference Wavelength = 588 nm

(101) TABLE-US-00011 TABLE 11 Conic coefficient Aspherical coefficient k A4 A6 A8 A10 S1 0.0000E+00 −6.3617E−04 1.1804E−04 −1.6882E−05 1.3958E−06 S2 0.0000E+00 −9.2119E−04 1.3671E−04 −2.0129E−05 1.7913E−06 S3 −6.9359E−01  −4.8424E−04 1.6302E−04 −1.8095E−05 1.1263E−06 S4 −1.8369E−01  −1.0583E−04 4.3606E−05 −4.7314E−06 2.7780E−07 S5 −6.9359E−01  −4.8424E−04 1.6302E−04 −1.8095E−05 1.1263E−06 S6 0.0000E+00 −9.2119E−04 1.3671E−04 −2.0129E−05 1.7913E−06 S7 6.7416E−01  4.3696E−04 −3.8076E−03   5.4419E−03 −4.4781E−03  S8 0.0000E+00 −9.2119E−04 1.3671E−04 −2.0129E−05 1.7913E−06 S9 0.0000E+00 −1.0628E−02 −3.9146E−02   6.3655E−02 −6.1650E−02  S10 0.0000E+00 −2.1578E−02 −9.4905E−03   1.1019E−02 −6.5575E−03  Aspherical coefficient A12 A14 A16 A18 A20 S1 −7.0618E−08 2.2221E−09 −4.2126E−11 4.3928E−13 −1.9302E−15 S2 −9.3890E−08 2.9184E−09 −4.9705E−11 3.6214E−13  0.0000E+00 S3 −4.0384E−08 8.5572E−10 −1.0920E−11 9.0680E−14 −5.0725E−16 S4 −9.5805E−09 1.9744E−10 −2.4829E−12 2.0019E−14 −1.0246E−16 S5 −4.0384E−08 8.5572E−10 −1.0920E−11 9.0680E−14 −5.0725E−16 S6 −9.3890E−08 2.9184E−09 −4.9705E−11 3.6214E−13  0.0000E+00 S7  2.2144E−03 −6.7402E−04   1.2367E−04 −1.2562E−05   5.4315E−07 S8 −9.3890E−08 2.9184E−09 −4.9705E−11 3.6214E−13  0.0000E+00 S9  3.7779E−02 −1.4695E−02   3.5115E−03 −4.6949E−04   2.6866E−05 S10  2.2129E−03 −3.6373E−04   5.1476E−07 8.5376E−06 −8.6063E−07

(102) TABLE-US-00012 TABLE 12 2ω (°) 10.58 Fno 1.88 f (mm) 21.387 f3g (mm) −12.355 TTL (mm) 6.630 LB (mm) 1.179 IH (mm) 2.040

(103) As shown in Table 13, the fourth embodiment satisfies the conditions (1) to (6).

(104) FIG. 8 illustrates a spherical aberration, a field curvature, and a distortion of the camera lens LA of the catadioptric optical system according to the fourth embodiment. As shown in FIG. 8, the camera lens LA of the catadioptric optical system according to the fourth embodiment has a narrow angle, 2ω=10.58°, and a small height, i.e., TTL/f=0.31, and good optical characteristics.

(105) Table 13 shows the values of the parameter defined in the conditions (1) to (6) of the first to fourth embodiments.

(106) TABLE-US-00013 TABLE 13 Embodiment 1 Embodiment 2 Embodiment 3 Embodiment 4 Notes (nd1/ν1) + (nd2/ν2) 0.037 0.083 0.055 0.055 condition (1) (nd1 + nd2)/f3g −0.395 −0.105 −0.250 −0.250 condition (2) d9/f3g −0.053 −0.005 −0.190 −0.106 condition (3) TTL/f 0.258 0.345 0.310 0.310 condition (4) TTL/f3g −0.836 −0.205 −0.537 −0.537 condition (5) TTL/IH 3.103 3.394 3.250 3.250 condition (6)