Imaging optical system

Abstract

Provided is an imaging optical system. The number of lenses is 3 to 7, a stop is present in the optical system, there is an aspherical lens having 2 surfaces with a curvature radius that is infinite in the paraxial region and a refractive power with a third-order aberration region in the peripheral portion, i is a natural number, the i-th lens from the object side is the i-th lens, the first lens is a negative lens or an aspherical lens having 2 surfaces with a curvature radius that is infinite in the paraxial region and a refractive power with a negative third-order aberration region in the peripheral portion, the lens on the image side adjacent to the stop is a positive lens, when fi represents the focal length of the i-th lens, f represents the overall focal length, and n represents the number of lenses, the following is satisfied: a light beam that enters the optical system and reaches the maximum image height and a light beam that enters the optical system and whose chief ray is parallel to the optical axis do not intersect within the first lens, the angle formed by the chief ray of the light beam that enters the optical system and reaches the maximum image height and the optical axis is HFOV, and 40° < HFOV < 80° is satisfied.

Description

Technical Field

[0001] This invention relates to camera optical systems, and more particularly to wide-angle camera optical systems. Background Technology

[0002] In wide-angle camera optical systems using spherical lenses, lenses with higher refractive power in the paraxial region are used to reduce aberrations. Similarly, in wide-angle camera optical systems using aspherical lenses, lenses with higher refractive power in the paraxial region are also mostly used.

[0003] If lenses with high refractive power in the paraxial region are used, high assembly precision is required, making the manufacture of wide-angle camera optical systems relatively difficult and resulting in complex structures, thus increasing the size and weight of wide-angle camera optical systems.

[0004] They also developed a camera optical system that includes an aspherical lens with an infinitely large radius of curvature on both sides in the paraxial region (Patent Documents 1 to 4), but did not achieve a wide-angle camera optical system with sufficiently small aberrations and compactness.

[0005] Patent Document 1: JP2020-201382A

[0006] Patent Document 2: JP2021-001938A

[0007] Patent Document 3: JP2021-018291A

[0008] Patent Document 4: JP2021-021900A Summary of the Invention

[0009] Therefore, there is a need for a wide-angle imaging optical system that includes an aspherical lens with an infinitely large radius of curvature in the paraxial region and sufficiently small and compact aberrations. The objective of this invention is to provide an aspherical lens with an infinitely large radius of curvature in the paraxial region and sufficiently small and compact aberrations. Here, "two surfaces" refers to the object-side surface and the image-side surface of the lens.

[0010] In the imaging optical system of the present invention, the number of lenses is 3 to 7, and an aperture stop exists within the optical system. This imaging optical system has 1 to 4 aspherical lenses with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region with cubic aberrations. Let i be a natural number, and the i-th lens from the object side be designated as the i-th lens. The i-th lens is either a negative lens or an aspherical lens with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region with negative cubic aberrations. The image-side lens adjacent to the aperture stop is a positive lens. When fi represents the focal length of the i-th lens, f represents the overall focal length, and n represents the number of lenses, the following conditions are met:

[0011]

[0012] The incident light beam reaching maximum image height and the incident light beam with its principal ray parallel to the optical axis do not intersect within the first lens. Let HFOV be the angle between the principal ray of the incident light beam reaching maximum image height and the optical axis.

[0013] 40° < HFQV < 80°.

[0014] According to the present invention, it is possible to realize an aspherical lens containing refractive power with infinitely large radii of curvature in the paraxial region and cubic aberration regions in the peripheral region, and a wide-angle camera optical system with sufficiently small aberrations.

[0015] In the imaging optical system of the first embodiment of the present invention, the number of lenses is 4 to 7, and the aperture stop exists between the second lens and the fourth lens. At least one aspherical lens with infinite radii of curvature on both sides of the aperture stop and refractive power in a cubic aberration region in the peripheral region is present on both the object side and the image side of the aperture stop. The first lens and / or the second lens, as well as the lens closest to the image side, are aspherical lenses with infinite radii of curvature on both sides of the aperture stop and refractive power in a cubic aberration region in the peripheral region, satisfying the following conditions:

[0016]

[0017] The beam incident on the optical system that reaches its maximum image height and the beam incident on the optical system whose principal ray is parallel to the optical axis do not intersect within the lens closest to the image side.

[0018] The imaging optical system of this embodiment is configured such that a beam incident on the optical system reaching its maximum image height and a beam incident on the optical system with its principal ray parallel to the optical axis do not intersect within the first lens and the lens closest to the image side. In this state, a wide-angle imaging optical system with sufficiently small aberrations can be achieved without using lenses with large refractive power in the paraxial region, but by using aspherical lenses with infinitely large radii of curvature on both sides in the paraxial region and refractive power in the periphery with cubic aberration regions as the first and / or second lenses and the lens closest to the image side. In addition, off-axis aberrations can be reduced particularly effectively by placing at least one aspherical lens with infinitely large radii of curvature on both sides in the paraxial region and refractive power in the periphery with cubic aberration regions closer to the object side and image side than the aperture stop.

[0019] The imaging optical system of the second embodiment of the present invention has the characteristics of the imaging optical system of the first embodiment, wherein the number of lenses is four, the aperture stop is located between the second lens and the third lens, and the first lens and the fourth lens are aspherical lenses with infinite curvature radii on both sides in the paraxial region and refractive power in the periphery with a third aberration region.

[0020] This embodiment is a camera optical system with four lenses, two aspherical lenses having infinite radii of curvature on both sides in the paraxial region and refractive power in the periphery with a third aberration region.

[0021] The imaging optical system of the third embodiment of the present invention has the characteristics of the imaging optical system of the first embodiment, wherein the number of lenses is 5, the aperture stop is located between the second and fourth lenses, and the first or second lens and the fifth lens are aspherical lenses with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region with cubic aberrations, satisfying the following conditions.

[0022]

[0023] This embodiment is a camera optical system with 5 lenses, 2 aspherical lenses having infinite radii of curvature on both sides in the paraxial region and refractive power in the periphery with a third aberration region.

[0024] The imaging optical system of the fourth embodiment of the present invention has the characteristics of the imaging optical system of the first embodiment, wherein the number of lenses is five, the aperture stop is located between the second and third lenses, and the first, second, and fifth lenses, or the second, fourth, and fifth lenses, are aspherical lenses with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region with cubic aberrations, satisfying the following conditions.

[0025]

[0026] This embodiment is a camera optical system with 5 lenses, 3 aspherical lenses having infinite radii of curvature on both sides in the paraxial region and refractive power in the periphery with a third aberration region.

[0027] The imaging optical system of the fifth embodiment of the present invention has the characteristics of the imaging optical system of the first embodiment, wherein the number of lenses is 6, the aperture stop is located between the second and fourth lenses, and the first or second lens and the sixth lens are aspherical lenses with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region with cubic aberrations, satisfying the following conditions.

[0028]

[0029] This embodiment is a camera optical system with 6 lenses, 2 aspherical lenses having infinite radii of curvature on both sides in the paraxial region and refractive power in the periphery with a third aberration region.

[0030] The imaging optical system of the sixth embodiment of the present invention has the characteristics of the imaging optical system of the first embodiment, wherein the number of lenses is 6, the aperture stop is located between the second lens and the third lens, and the second lens, the fourth lens, the fifth lens and the sixth lens are aspherical lenses with infinite curvature radii on both sides in the paraxial region and refractive power in the periphery with a third aberration region.

[0031] This embodiment is a camera optical system with 6 lenses, 4 aspherical lenses having infinite radii of curvature on both sides in the paraxial region and refractive power in the periphery with a third aberration region.

[0032] The camera optical system of the seventh embodiment of the present invention has the characteristics of the camera optical system of the first embodiment, wherein the number of lenses is seven, the aperture stop is located between the second lens and the third lens, and the second lens, the fifth lens and the seventh lens are aspherical lenses with infinite curvature radii on both sides in the paraxial region and refractive power in the periphery with a third aberration region.

[0033] This embodiment is a camera optical system with 7 lenses, 3 aspherical lenses having infinite radii of curvature on both sides in the paraxial region and refractive power in the periphery with a third aberration region.

[0034] In the camera optical system of the eighth embodiment of the present invention, the number of lenses is 3 to 5, and any one of the lenses is an aspherical lens with infinitely large radii of curvature on both sides in the paraxial region and refractive power in the periphery with a third aberration region.

[0035] This embodiment is a camera optical system with 3 to 5 lenses, and one aspherical lens having infinite radii of curvature on both sides in the paraxial region and refractive power in the periphery with a third aberration region.

[0036] The imaging optical system of the ninth embodiment of the present invention has the characteristics of the imaging optical system of the eighth embodiment, wherein the first lens is an aspherical lens with infinitely large radii of curvature on both sides in the paraxial region and refractive power in the periphery region with a third aberration region.

[0037] According to this embodiment, by placing an aspherical lens with infinitely large radii of curvature on both sides in the paraxial region and refractive power in the periphery with a third aberration region at a position where the off-axis beam and the on-axis beam do not intersect, a wide-angle camera optical system with sufficiently small aberrations can be obtained without using a lens with large refractive power in the paraxial region.

[0038] The imaging optical system of the tenth embodiment of the present invention has the characteristics of the imaging optical system of the eighth embodiment. The lens closest to the image side is an aspherical lens with infinitely large radii of curvature on both sides in the paraxial region and refractive power in the third aberration region in the peripheral region. The light beam incident on the optical system and reaching the maximum image height and the light beam incident on the optical system with the principal ray parallel to the optical axis do not intersect in the lens closest to the image side.

[0039] According to this embodiment, by placing an aspherical lens with infinitely large radii of curvature on both sides in the paraxial region and refractive power in the periphery with a third aberration region at a position where the off-axis beam and the on-axis beam do not intersect, a wide-angle camera optical system with sufficiently small aberrations can be obtained without using a lens with large refractive power in the paraxial region.

[0040] The camera optical system of the 11th embodiment of the present invention has the characteristics of the camera optical system of the 8th embodiment, wherein the number of lenses is 3, and any one of the lenses is an aspherical lens with infinitely large radii of curvature on both sides in the paraxial region and negative cubic aberration region in the peripheral region.

[0041] The imaging optical system of the 12th embodiment of the present invention has the features of the imaging optical system of the 1st embodiment, wherein the number of lenses is 5, the 1st lens, the 2nd lens and the 5th lens are aspherical lenses with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region, and the 2nd lens is an aspherical lens with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region with positive cubic aberration region. Attached Figure Description

[0042] Figure 1 This is a diagram showing the structure of the camera optical system of Embodiment 1.

[0043] Figure 2 This is a diagram showing spherical aberration.

[0044] Figure 3 This is a diagram showing the astigmatism of light at a wavelength of 0.580 micrometers.

[0045] Figure 4 This is a diagram showing the distortion of light at a wavelength of 0.580 micrometers.

[0046] Figure 5 This is a diagram showing the structure of the camera optical system of Embodiment 2.

[0047] Figure 6 This is a diagram showing spherical aberration.

[0048] Figure 7 This is a diagram showing the astigmatism of light at a wavelength of 0.580 micrometers.

[0049] Figure 8 This is a diagram showing the distortion of light at a wavelength of 0.580 micrometers.

[0050] Figure 9 This is a diagram showing the structure of the camera optical system of Embodiment 3.

[0051] Figure 10 This is a diagram showing spherical aberration.

[0052] Figure 11 This is a diagram showing the astigmatism of light at a wavelength of 0.580 micrometers.

[0053] Figure 12 This is a diagram showing the distortion of light at a wavelength of 0.580 micrometers.

[0054] Figure 13 This is a diagram showing the structure of the camera optical system of Embodiment 4.

[0055] Figure 14 This is a diagram showing spherical aberration.

[0056] Figure 15 This is a diagram showing the astigmatism of light at a wavelength of 0.580 micrometers.

[0057] Figure 16 This is a diagram showing the distortion of light at a wavelength of 0.580 micrometers.

[0058] Figure 17 This is a diagram showing the structure of the camera optical system of Embodiment 5.

[0059] Figure 18 This is a diagram showing spherical aberration.

[0060] Figure 19 This is a diagram showing the astigmatism of light at a wavelength of 0.580 micrometers.

[0061] Figure 20 This is a diagram showing the distortion of light at a wavelength of 0.580 micrometers.

[0062] Figure 21 This is a diagram showing the structure of the camera optical system of Embodiment 6.

[0063] Figure 22 This is a diagram showing spherical aberration.

[0064] Figure 23 This is a diagram showing the astigmatism of light at a wavelength of 587.5618 nanometers.

[0065] Figure 24 This is a graph showing the distortion of light at a wavelength of 587.5618 nanometers.

[0066] Figure 25This is a diagram showing the structure of the camera optical system of Embodiment 7.

[0067] Figure 26 This is a diagram showing spherical aberration.

[0068] Figure 27 This is a diagram showing the astigmatism of light at a wavelength of 587.5618 nanometers.

[0069] Figure 28 This is a graph showing the distortion of light at a wavelength of 587.5618 nanometers.

[0070] Figure 29 This is a diagram showing the structure of the camera optical system of Embodiment 8.

[0071] Figure 30 This is a diagram showing spherical aberration.

[0072] Figure 31 This is a diagram showing the astigmatism of light at a wavelength of 0.580 micrometers.

[0073] Figure 32 This is a diagram showing the distortion of light at a wavelength of 0.580 micrometers.

[0074] Figure 33 This is a diagram showing the structure of the camera optical system of Embodiment 9.

[0075] Figure 34 This is a diagram showing spherical aberration.

[0076] Figure 35 This is a diagram showing the astigmatism of light at a wavelength of 0.580 micrometers.

[0077] Figure 36 This is a diagram showing the distortion of light at a wavelength of 0.580 micrometers.

[0078] Figure 37 This is a diagram showing the structure of the camera optical system of Embodiment 10.

[0079] Figure 38 This is a diagram showing spherical aberration.

[0080] Figure 39 This is a diagram showing the astigmatism of light at a wavelength of 587.5618 nanometers.

[0081] Figure 40 This is a graph showing the distortion of light at a wavelength of 587.5618 nanometers.

[0082] Figure 41 This is a diagram showing the structure of the camera optical system of Embodiment 11.

[0083] Figure 42This is a diagram showing spherical aberration.

[0084] Figure 43 This is a diagram showing the astigmatism of light at a wavelength of 0.580 micrometers.

[0085] Figure 44 This is a diagram showing the distortion of light at a wavelength of 0.580 micrometers.

[0086] Figure 45 This is a diagram showing the structure of the camera optical system of Embodiment 12.

[0087] Figure 46 This is a diagram showing spherical aberration.

[0088] Figure 47 This is a diagram showing the astigmatism of light at a wavelength of 0.580 micrometers.

[0089] Figure 48 This is a diagram showing the distortion of light at a wavelength of 0.580 micrometers.

[0090] Figure 49 This is a diagram showing the structure of the camera optical system of Reference Example 1.

[0091] Figure 50 This is a diagram showing spherical aberration.

[0092] Figure 51 This is a diagram showing the astigmatism of light at a wavelength of 0.580 micrometers.

[0093] Figure 52 This is a diagram showing the distortion of light at a wavelength of 0.580 micrometers.

[0094] Figure 53 This is a diagram showing the structure of the camera optical system of Embodiment 14.

[0095] Figure 54 This is a diagram showing spherical aberration.

[0096] Figure 55 This is a diagram showing the astigmatism of light at a wavelength of 0.580 micrometers.

[0097] Figure 56 This is a diagram showing the distortion of light at a wavelength of 0.580 micrometers.

[0098] Figure 57 This is a diagram showing the structure of the camera optical system of Embodiment 15.

[0099] Figure 58 This is a diagram showing spherical aberration.

[0100] Figure 59 This is a diagram showing the astigmatism of light at a wavelength of 587.5618 nanometers.

[0101] Figure 60 This is a graph showing the distortion of light at a wavelength of 587.5618 nanometers.

[0102] Figure 61 This is a diagram showing the structure of the camera optical system of Embodiment 16.

[0103] Figure 62 This is a diagram showing spherical aberration.

[0104] Figure 63 This is a diagram showing the astigmatism of light at a wavelength of 587.5618 nanometers.

[0105] Figure 64 This is a graph showing the distortion of light at a wavelength of 587.5618 nanometers.

[0106] Figure 65 This is a diagram showing the structure of the camera optical system of Embodiment 17.

[0107] Figure 66 This is a diagram showing spherical aberration.

[0108] Figure 67 This is a diagram showing the astigmatism of light at a wavelength of 587.5618 nanometers.

[0109] Figure 68 This is a graph showing the distortion of light at a wavelength of 587.5618 nanometers.

[0110] Figure 69 This is a diagram showing the structure of the camera optical system of Embodiment 18.

[0111] Figure 70 This is a diagram showing spherical aberration.

[0112] Figure 71 This is a diagram showing the astigmatism of light at a wavelength of 587.5618 nanometers.

[0113] Figure 72 This is a graph showing the distortion of light at a wavelength of 587.5618 nanometers.

[0114] Figure 73 This is a diagram showing the structure of the camera optical system of Embodiment 19.

[0115] Figure 74 This is a diagram showing spherical aberration.

[0116] Figure 75 This is a diagram showing the astigmatism of light at a wavelength of 587.5618 nanometers.

[0117] Figure 76This is a graph showing the distortion of light at a wavelength of 587.5618 nanometers.

[0118] Figure 77 This is a diagram showing the structure of the camera optical system of Embodiment 20.

[0119] Figure 78 This is a diagram showing spherical aberration.

[0120] Figure 79 This is a diagram showing the astigmatism of light at a wavelength of 587.5618 nanometers.

[0121] Figure 80 This is a graph showing the distortion of light at a wavelength of 587.5618 nanometers.

[0122] Figure 81 This is a diagram showing the structure of the camera optical system of Embodiment 21.

[0123] Figure 82 This is a diagram showing spherical aberration.

[0124] Figure 83 This is a diagram showing the astigmatism of light at a wavelength of 0.580 micrometers.

[0125] Figure 84 This is a diagram showing the distortion of light at a wavelength of 0.580 micrometers.

[0126] Figure 85 This is a diagram showing the structure of the camera optical system of Embodiment 22.

[0127] Figure 86 This is a diagram showing spherical aberration.

[0128] Figure 87 This is a diagram showing the astigmatism of light at a wavelength of 0.580 micrometers.

[0129] Figure 88 This is a diagram showing the distortion of light at a wavelength of 0.580 micrometers.

[0130] Figure 89 This is a diagram showing the structure of the camera optical system of Embodiment 23.

[0131] Figure 90 This is a diagram showing spherical aberration.

[0132] Figure 91 This is a diagram showing the astigmatism of light at a wavelength of 0.580 micrometers.

[0133] Figure 92 This is a diagram showing the distortion of light at a wavelength of 0.580 micrometers.

[0134] Figure 93This is a diagram showing the structure of the camera optical system of Embodiment 24.

[0135] Figure 94 This is a diagram showing spherical aberration.

[0136] Figure 95 This is a diagram showing the astigmatism of light at a wavelength of 0.580 micrometers.

[0137] Figure 96 This is a diagram showing the distortion of light at a wavelength of 0.580 micrometers.

[0138] Figure 97 This is a diagram showing the structure of the camera optical system of Embodiment 25.

[0139] Figure 98 This is a diagram showing spherical aberration.

[0140] Figure 99 This is a diagram showing the astigmatism of light at a wavelength of 587.5618 nanometers.

[0141] Figure 100 This is a graph showing the distortion of light at a wavelength of 587.5618 nanometers.

[0142] Figure 101 This is a diagram showing the structure of the camera optical system of Embodiment 26.

[0143] Figure 102 This is a diagram showing spherical aberration.

[0144] Figure 103 This is a diagram showing the astigmatism of light at a wavelength of 587.5618 nanometers.

[0145] Figure 104 This is a graph showing the distortion of light at a wavelength of 587.5618 nanometers.

[0146] Figure 105 This is a diagram showing the structure of the camera optical system of Embodiment 27.

[0147] Figure 106 This is a diagram showing spherical aberration.

[0148] Figure 107 This is a diagram showing the astigmatism of light at a wavelength of 587.5618 nanometers.

[0149] Figure 108 This is a graph showing the distortion of light at a wavelength of 587.5618 nanometers.

[0150] Figure 109 This is a diagram showing the structure of the camera optical system of Embodiment 28.

[0151] Figure 110This is a diagram showing spherical aberration.

[0152] Figure 111 This is a diagram showing the astigmatism of light at a wavelength of 587.5618 nanometers.

[0153] Figure 112 This is a graph showing the distortion of light at a wavelength of 587.5618 nanometers.

[0154] Figure 113 This is a diagram showing the structure of the camera optical system of Embodiment 29.

[0155] Figure 114 This is a diagram showing spherical aberration.

[0156] Figure 115 This is a diagram showing the astigmatism of light at a wavelength of 587.5618 nanometers.

[0157] Figure 116 This is a graph showing the distortion of light at a wavelength of 587.5618 nanometers.

[0158] Figure 117 This is a diagram showing the structure of the camera optical system of Embodiment 30.

[0159] Figure 118 This is a diagram showing spherical aberration.

[0160] Figure 119 This is a diagram showing the astigmatism of light at a wavelength of 587.5618 nanometers.

[0161] Figure 120 This is a graph showing the distortion of light at a wavelength of 587.5618 nanometers. Detailed Implementation

[0162] In this specification and claims, a positive lens refers to a lens with positive refractive power in the paraxial region, and a negative lens refers to a lens with negative refractive power in the paraxial region. The optical axis is the straight line connecting the centers of curvature of all lens surfaces. In a photographic optical system, the lens closest to the object is called the first lens, and m is a natural number; the m-th lens from the object side is called the m-th lens. Image height refers to the value representing the image position on the evaluation plane of the optical system, expressed as a distance from the optical axis. Distortion is the ratio of the actual image height to the ideal image height. In this specification, sometimes a "spherical lens with infinite radii of curvature on both surfaces in the paraxial region and refractive power in the periphery with cubic aberration regions" is referred to as a "spherical lens with infinite radii of curvature on both surfaces in the paraxial region and refractive power in the periphery."

[0163] Hereinafter, embodiments of the present invention will be described. Features of the present invention will be described after the embodiments. Each surface of each lens in the embodiments is represented by the following formula.

[0164]

[0165] z represents the coordinates along the optical axis with reference to the intersections of each surface with the optical axis. The coordinate system is defined so that the coordinates of points on the image side are positive. r represents the distance from the optical axis. R represents the radius of curvature at the center of the surface, and k represents the conic constant. A4-A 14 This indicates the aspheric coefficient. The sign of R is positive when the surface bulges towards the object side in the paraxial region, and negative when the surface bulges towards the image side in the paraxial region. Unless otherwise specified in this specification, the unit of length is millimeters.

[0166] In the following table, "Radius of Curvature" represents the radius of curvature R at the center of each surface. "Flat" in the "Radius of Curvature" column indicates that the surface is planar. "∞" in the "Radius of Curvature" column indicates that the radius of curvature at the center of each surface is infinite. "Thickness or Spacing" represents the distance between objects, the thickness of optical elements, the spacing between optical elements, or the spacing between an optical element and the image plane. "∞" in the "Thickness or Spacing" column indicates that the spacing is infinite. "Material," "Refractive Index," and "Abbe Number" represent the material of the lens and other optical elements, the refractive index of that material, and the Abbe number. "Focal Length" represents the focal length of each lens. "∞" in the "Focal Length" column indicates that the focal length is infinite.

[0167] In the following explanation, "HOFV" refers to the angle at half the field of view (half field of view). The field of view is twice the angle between the principal ray of the beam incident on the camera optical system and the optical axis before it is incident.

[0168] Example 1

[0169] Figure 1 This diagram illustrates the structure of the imaging optical system of Embodiment 1. The imaging optical system includes four lenses arranged from the object side to the image side. Lens 101 and lens 104 are aspherical lenses with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region. Lens 102 and lens 103 are positive meniscus lenses convex towards the image side. An aperture stop 6 is located between lens 102 and lens 103.

[0170] Table 1 shows the configuration of the optical elements, lens properties, and focal length of the camera optical system of Embodiment 1. The overall focal length f of the camera optical system is f = 0.2808, the aperture number (F-number) Fno is Fno = 3.348, and the half field of view (HFOV) is HFOV = 50 (degrees). In Table 1, the four lenses are designated as lenses 1-4 from the object side.

[0171] In this embodiment, the distance from the object to the first lens is 5.242 (=5.142+0.100) mm. Surface 1 has no physical meaning.

[0172] Table 1

[0173]

[0174] Table 2 shows the conic constants and aspherical coefficients of each facet of each lens in Example 1.

[0175] Table 2

[0176] noodle K A4 A6 A8 A10 A12 A14 2 0.0000 -2.43674E+00 -2.13003E+01 -2.48685E+00 3.86041E+01 2.76661E+03 -7.06615E+03 3 0.0000 1.84834E+01 -1.97477E+01 -3.70357E+02 -1.39695E+04 -6.27055E+05 -1.08268E+07 4 -16.2586 1.53447E+01 -8.58627E+01 -3.06982E+02 2.26629E+03 1.24907E+05 -2.62890E+07 5 -13.5509 -1.02304E+01 9.39372E+01 -2.00689E+03 -1.61422E+05 -4.69604E+05 3.56687E+08 7 3.8564 -1.45168E+01 1.13766E+03 2.71982E+05 4.18620E+07 1.93196E+09 -7.84278E+11 8 -1.2098 -1.20784E+00 -1.80294E+02 1.13552E+04 3.01146E+05 9.84373E+06 6.57357E+08 9 0.0000 7.77500E+00 -5.02889E+01 -2.59485E+02 6.21297E+03 -3.13298E+04 -3.69696E+05 10 0.0000 -3.93886E+00 -9.16322E+01 -1.60468E+01 4.91985E+03 7.24647E+04 -1.16865E+06

[0177] Figure 2 This is a diagram showing spherical aberration. Figure 2 The horizontal axis represents the position where the incident light rays parallel to the optical axis intersect the optical axis. Figure 2 The vertical axis represents the distance of the aforementioned ray from the optical axis, normalized according to the radius of the aperture stop. That is, 1 on the vertical axis represents the radius of the aperture stop. Figure 2 In the diagram, solid lines represent light with a wavelength of 0.580 micrometers, single-dotted lines represent light with a wavelength of 0.460 micrometers, and double-dotted lines represent light with a wavelength of 0.680 micrometers.

[0178] Figure 3 This is a diagram showing the astigmatism of light at a wavelength of 0.580 micrometers. Figure 3 The horizontal axis represents the position of the optical axis direction of the focal point. Figure 3 The vertical axis represents the image height. Figure 3 The solid line represents the case of the sagittal plane. Figure 3 The dashed line represents the case of the tangent plane.

[0179] Figure 4 This is a diagram showing the distortion of light at a wavelength of 0.580 micrometers. Figure 4 The horizontal axis represents distortion as a percentage. Figure 4 The vertical axis represents the image height.

[0180] Example 2

[0181] Figure 5This diagram illustrates the structure of the imaging optical system of Embodiment 2. The imaging optical system includes five lenses arranged from the object side to the image side. Lens 201 and 205 are aspherical lenses with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region. Lens 202 and 204 are positive meniscus lenses convex towards the image side. Lens 203 is a negative meniscus lens convex towards the image side. An aperture stop 8 is located between lens 203 and lens 204.

[0182] Table 3 shows the configuration of the optical elements, lens properties, and focal length of the camera optical system of Embodiment 2. The overall focal length f of the camera optical system is f = 0.264, the aperture number Fno is Fno = 2.563, and the half field of view (HFOV) is HFOV = 50 (degrees). In Table 3, the five lenses are designated as lenses 1-5 from the object side.

[0183] In this embodiment, the distance from the object to the first lens is 5.242 (=5.142+0.100) mm. Surface 1 has no physical meaning.

[0184] Table 3

[0185]

[0186] Table 4 shows the conic constants and aspherical coefficients of each facet of each lens in Example 2.

[0187] Table 4

[0188] noodle K A4 A6 A8 A10 A12 A14 2 0.0000 -2.48625E+00 -1.61898E+01 -5.28562E-01 -2.58118E+01 -7.01444E+02 -2.22102E+04 3 0.0000 9.72235E+00 -1.43670E+02 -3.71674E+01 -7.94067E+02 1.98862E+04 4.45518E+06 4 -18.9467 3.04819E+00 1.10826E+01 7.06025E+01 4.16271E+03 6.42811E+04 -6.42767E+06 5 -9.1593 -5.09734E+00 2.09622E+02 -8.34782E+01 -4.18328E+04 -9.19975E+05 9.95135E+07 6 -14.8131 -1.15629E+00 5.41799E+02 1.05968E+03 4.00113E+05 2.41626E+07 -2.47386E+06 7 -20.0001 -1.74824E+01 9.76638E+03 -4.50886E+04 2.92259E+07 1.06499E+10 2.73318E+12 9 19.3006 -7.87671E+01 3.26574E+04 4.48948E+05 5.36148E+07 4.06847E+09 -1.08009E+11 10 -0.9639 -3.17651E+00 -8.17271E+02 -1.78120E+04 -3.34517E+05 1.38921E+08 1.83222E+10 11 0.0000 3.35479E+00 -1.94424E+01 4.37366E+01 2.84821E+03 1.61086E+05 8.39285E+06 12 0.0000 1.02364E+01 -1.84203E+02 8.84081E+00 1.78818E+02 2.27298E+03 -2.72024E+04

[0189] Figure 6 This is a diagram showing spherical aberration. Figure 6 The horizontal axis represents the position where the incident light rays parallel to the optical axis intersect the optical axis. Figure 6 The vertical axis represents the distance of the aforementioned ray from the optical axis, normalized according to the radius of the aperture stop. That is, 1 on the vertical axis represents the radius of the aperture stop. Figure 6 In the diagram, solid lines represent light with a wavelength of 0.580 micrometers, single-dotted lines represent light with a wavelength of 0.460 micrometers, and double-dotted lines represent light with a wavelength of 0.680 micrometers.

[0190] Figure 7 This is a diagram showing the astigmatism of light at a wavelength of 0.580 micrometers. Figure 7 The horizontal axis represents the position of the optical axis direction of the focal point. Figure 7 The vertical axis represents the image height. Figure 7 The solid line represents the case of the sagittal plane. Figure 7 The dashed line represents the case of the tangent plane.

[0191] Figure 8 This is a diagram showing the distortion of light at a wavelength of 0.580 micrometers. Figure 8 The horizontal axis represents distortion as a percentage. Figure 8 The vertical axis represents the image height.

[0192] Example 3

[0193] Figure 9 This diagram illustrates the structure of the imaging optical system of Embodiment 3. The imaging optical system includes five lenses arranged from the object side to the image side. Lens 302 and 305 are aspherical lenses with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region. Lens 301 is a biconcave lens. Lens 303 is a biconvex lens. Lens 304 is a positive meniscus lens convex towards the image side. An aperture stop 8 is located between lens 303 and lens 304.

[0194] Table 5 shows the configuration of the optical elements, lens properties, and focal length of the camera optical system of Embodiment 3. The overall focal length f of the camera optical system is f = 0.206, the aperture number Fno is Fno = 2.5814, and the half field of view (HFOV) is HFOV = 50 (degrees). In Table 5, the five lenses are designated as lenses 1-5 from the object side.

[0195] In this embodiment, the distance from the object to the first lens is 5.242 (=5.142+0.100) mm. Surface 1 has no physical meaning.

[0196] Table 5

[0197]

[0198] Table 6 shows the conic constants and aspherical coefficients of each facet of each lens in Example 3.

[0199] Table 6

[0200] noodle K A4 A6 A8 A10 A12 A14 2 0.2358 8.97055E-02 2.05945E+00 2.28013E+00 -5.92569E+00 -7.88691E+00 -1.20083E+02 3 -0.2904 2.92021E+00 4.89258E+01 7.09962E+01 -3.69790E+02 -3.93137E+03 -5.30014E+04 4 0.0000 1.35282E+01 6.41788E+00 3.82500E+01 -3.91264E+02 -3.44150E+03 -6.51800E+04 5 0.0000 1.71478E+01 1.57780E+02 1.31788E+03 8.67973E+04 -2.82118E+05 -1.33039E+07 6 0.9663 -6.15991E+00 9.69170E+00 -6.66520E+02 1.56915E+04 2.13249E+06 8.92628E+07 7 -7.3671 -3.92952E+00 2.96576E+02 -5.63422E+02 4.77411E+04 -6.84236E+06 6.54762E+08 9 20.0000 -4.62589E+01 9.27979E+03 4.27717E+05 -5.88393E+07 -4.25630E+09 4.39014E+11 10 -20.0001 -9.39582E+00 1.31135E+03 5.60221E+04 4.20679E+06 7.23435E+07 -8.35774E+08 11 0.0000 -1.11370E+01 1.83148E+02 -2.03333E+04 -9.48800E+05 3.07399E+07 2.02091E+09 12 0.0000 -1.11004E+01 -4.60382E+02 2.43743E+03 1.16359E+04 1.72735E+06 2.57523E+07

[0201] Figure 10 This is a diagram showing spherical aberration. Figure 10 The horizontal axis represents the position where the incident light rays parallel to the optical axis intersect the optical axis. Figure 10 The vertical axis represents the distance of the aforementioned ray from the optical axis, normalized according to the radius of the aperture stop. That is, 1 on the vertical axis represents the radius of the aperture stop. Figure 10 In the diagram, solid lines represent light with a wavelength of 0.580 micrometers, single-dotted lines represent light with a wavelength of 0.460 micrometers, and double-dotted lines represent light with a wavelength of 0.680 micrometers.

[0202] Figure 11 This is a diagram showing the astigmatism of light at a wavelength of 0.580 micrometers. Figure 11 The horizontal axis represents the position of the optical axis direction of the focal point. Figure 11 The vertical axis represents the image height. Figure 11 The solid line represents the case of the sagittal plane. Figure 11 The dashed line represents the case of the tangent plane.

[0203] Figure 12 This is a diagram showing the distortion of light at a wavelength of 0.580 micrometers. Figure 12 The horizontal axis represents distortion as a percentage. Figure 12 The vertical axis represents the image height.

[0204] Example 4

[0205] Figure 13 This diagram illustrates the structure of the imaging optical system of Embodiment 4. The imaging optical system includes six lenses arranged from the object side to the image side. Lens 401 and 406 are aspherical lenses with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region. Lens 402 is a negative meniscus lens convex towards the image side. Lens 403 is a positive meniscus lens convex towards the image side. Lens 404 is a biconvex lens. Lens 405 is a biconcave lens. An aperture stop 8 is located between lens 403 and lens 404.

[0206] Table 7 shows the configuration of the optical elements, lens properties, and focal length of the camera optical system of Embodiment 4. The overall focal length f of the camera optical system is f = 0.275, the aperture number Fno is Fno = 2.544, and the half field of view (HFOV) is HFOV = 50 (degrees). In Table 7, the six lenses are designated as lenses 1-6 from the object side.

[0207] In this embodiment, the distance from the object to the first lens is 5.242 (=5.142+0.100) mm. Surface 1 has no physical meaning.

[0208] Table 7

[0209]

[0210] Table 8 shows the conic constants and aspherical coefficients of each facet of each lens in Example 4.

[0211] Table 8

[0212] noodle K A4 A6 A8 A10 A12 A14 2 0.0000 5.26870E+00 7.94316E+01 -1.86390E+01 -1.76274E+02 5.04110E+01 1.91128E+03 3 0.0000 1.55903E+01 5.23558E+02 9.10010E+02 5.07800E+04 2.99562E+03 -2.12961E+05 4 0.0097 3.20211E+00 6.14040E+01 -6.30737E+02 -2.98238E+04 5.62184E+04 2.52284E+06 5 19.9985 -8.24434E+00 5.49172E+02 -5.43859E+03 7.12278E+05 -7.57177E+05 -8.11571E+07 6 -19.9977 -3.91846E-03 1.02732E+02 9.45055E+03 -1.65321E+06 7.41081E+05 9.54264E+07 7 -0.0901 1.51403E+01 -8.75027E+02 3.62818E+04 -6.99495E+05 -1.15353E+07 -2.54107E+09 9 -0.1889 -3.27748E+01 6.36777E+02 2.26284E+03 -7.32953E+05 -6.98261E+05 -5.07637E+07 10 -0.0202 1.09900E+01 -4.65013E+02 -3.71961E+03 -3.68685E+05 1.89958E+06 4.04369E+06 11 -19.3048 -1.25764E+00 -1.95064E+02 -7.63774E+02 -5.75577E+04 1.67282E+04 1.05260E+06 12 -0.1231 -1.81716E+00 9.73124E+00 3.18416E+01 -1.25492E+04 -7.66376E+03 -5.71097E+05 13 0.0000 -6.57616E+00 2.01815E+02 6.14193E+00 -1.10002E+03 2.34908E+02 2.22437E+04 14 0.0000 -3.68517E+00 -4.64187E+00 -1.99922E+02 6.62494E+03 1.78419E+03 1.90864E+04

[0213] Figure 14 This is a diagram showing spherical aberration. Figure 14The horizontal axis represents the position where the incident light rays parallel to the optical axis intersect the optical axis. Figure 14 The vertical axis represents the distance of the aforementioned ray from the optical axis, normalized according to the radius of the aperture stop. That is, 1 on the vertical axis represents the radius of the aperture stop. Figure 14 In the diagram, solid lines represent light with a wavelength of 0.580 micrometers, single-dotted lines represent light with a wavelength of 0.460 micrometers, and double-dotted lines represent light with a wavelength of 0.680 micrometers.

[0214] Figure 15 This is a diagram showing the astigmatism of light at a wavelength of 0.580 micrometers. Figure 15 The horizontal axis represents the position of the optical axis direction of the focal point. Figure 15 The vertical axis represents the image height. Figure 15 The solid line represents the case of the sagittal plane. Figure 15 The dashed line represents the case of the tangent plane.

[0215] Figure 16 This is a diagram showing the distortion of light at a wavelength of 0.580 micrometers. Figure 16 The horizontal axis represents distortion as a percentage. Figure 16 The vertical axis represents the image height.

[0216] Example 5

[0217] Figure 17 This is a diagram illustrating the structure of the imaging optical system of Embodiment 5. The imaging optical system includes six lenses arranged from the object side to the image side. Lens 502 and 506 are aspherical lenses with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region. Lens 501 is a biconcave lens. Lens 503 is a positive meniscus lens convex towards the object side. Lens 504 is a biconvex lens. Lens 505 is a positive meniscus lens convex towards the object side. An aperture stop 8 is located between lens 503 and lens 504.

[0218] Table 9 shows the configuration of the optical elements, lens properties, and focal length of the camera optical system of Embodiment 5. The overall focal length f of the camera optical system is f = 0.242, the aperture number Fno is Fno = 2.459, and the half field of view (HFOV) is HFOV = 50 (degrees). In Table 9, the six lenses are designated as lenses 1-6 from the object side.

[0219] In this embodiment, the distance from the object to the first lens is 5.242 (=5.142+0.100) mm. Surface 1 has no physical meaning.

[0220] Table 9

[0221]

[0222] Table 10 shows the conic constants and aspherical coefficients of each facet of each lens in Example 5.

[0223] Table 10

[0224]

[0225]

[0226] Figure 18 This is a diagram showing spherical aberration. Figure 18 The horizontal axis represents the position where the incident light rays parallel to the optical axis intersect the optical axis. Figure 18 The vertical axis represents the distance of the aforementioned ray from the optical axis, normalized according to the radius of the aperture stop. That is, 1 on the vertical axis represents the radius of the aperture stop. Figure 18 In the diagram, solid lines represent light with a wavelength of 0.580 micrometers, single-dotted lines represent light with a wavelength of 0.460 micrometers, and double-dotted lines represent light with a wavelength of 0.680 micrometers.

[0227] Figure 19 This is a diagram showing the astigmatism of light at a wavelength of 0.580 micrometers. Figure 19 The horizontal axis represents the position of the optical axis direction of the focal point. Figure 19 The vertical axis represents the image height. Figure 19 The solid line represents the case of the sagittal plane. Figure 19 The dashed line represents the case of the tangent plane.

[0228] Figure 20 This is a diagram showing the distortion of light at a wavelength of 0.580 micrometers. Figure 20 The horizontal axis represents distortion as a percentage. Figure 20 The vertical axis represents the image height.

[0229] Example 6

[0230] Figure 21 This diagram illustrates the structure of the imaging optical system of Embodiment 6. The imaging optical system includes five lenses arranged from the object side to the image side and an infrared cutoff filter. Lens 601 and 605 are aspherical lenses with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region. Lens 602 is a positive meniscus lens convex towards the image side. Lens 603 is a biconvex lens. Lens 604 is a positive meniscus lens convex towards the image side. An aperture stop 5 is located between lens 602 and lens 603.

[0231] Table 11 shows the configuration of the optical elements, lens properties, and focal length of the camera optical system of Embodiment 6. The overall focal length f of the camera optical system is f = 1.68, the aperture number Fno is Fno = 2.4, and the half field of view (HFOV) is HFOV = 60 (degrees). In Table 11, the five lenses are designated as lenses 1-5 from the object side.

[0232] In this embodiment, the distance from the object to the first lens is infinitely large.

[0233] Table 11

[0234]

[0235]

[0236] Table 12 shows the conic constants and aspherical coefficients of each facet of each lens in Example 6.

[0237] Table 12

[0238] noodle K A4 A6 A8 A10 A12 A14 1 90.0000 -1.5303E-04 2.3334E-05 7.3498E-08 3.8255E-09 4.4162E-10 2.5073E-11 2 90.0000 3.6977E-02 -7.4427E-04 -1.4973E-04 -1.6181E-06 1.1173E-07 1.7654E-08 3 -74.9365 7.9875E-02 -2.5245E-02 7.1781E-03 -7.4100E-04 -1.4753E-06 -4.1539E-07 4 41.9571 1.0468E-01 -4.0504E-03 -3.3757E-03 -3.7648E-05 4.4846E-07 2.0721E-11 6 4.8351 -2.1381E-01 -4.6331E-03 1.9591E-01 -6.8003E-01 0.0000E+00 0.0000E+00 7 -3.0495 -6.5777E-01 1.1836E+00 -1.0772E+00 5.2918E-02 3.7859E-10 -3.1189E-11 8 -1.5229 4.3333E-01 3.2376E-01 -8.4899E-01 4.3482E-01 -7.9761E-09 -3.8638E-11 9 -0.8285 1.0269E+00 -3.0959E-01 -1.4370E-01 2.5245E-01 1.0129E-05 1.5627E-11 10 90.0000 2.5915E-01 -4.9768E-01 1.8165E-01 2.4883E-01 -5.2312E-01 2.4268E-01 11 90.0000 3.2968E-01 -3.9242E-01 1.8421E-01 -4.8284E-02 5.7318E-03 1.8582E-07

[0239] Figure 22 This is a diagram showing spherical aberration. Figure 22 The horizontal axis represents the position where the incident light rays parallel to the optical axis intersect the optical axis. Figure 22 The vertical axis represents the distance of the aforementioned ray from the optical axis, normalized according to the radius of the aperture stop. That is, 1 on the vertical axis represents the radius of the aperture stop. Figure 22 In the diagram, solid lines represent light with a wavelength of 587.5618 nanometers, single-dotted lines represent light with a wavelength of 486.1327 nanometers, and double-dotted lines represent light with a wavelength of 656.2725 nanometers.

[0240] Figure 23 This is a diagram showing the astigmatism of light at a wavelength of 587.5618 nanometers. Figure 23 The horizontal axis represents the position of the optical axis direction of the focal point. Figure 23 The vertical axis represents the image height. Figure 23 The solid line represents the case of the sagittal plane. Figure 23 The dashed line represents the case of the tangent plane.

[0241] Figure 24 This is a graph showing the distortion of light at a wavelength of 587.5618 nanometers. Figure 24 The horizontal axis represents distortion as a percentage. Figure 24 The vertical axis represents the image height.

[0242] Example 7

[0243] Figure 25This is a diagram illustrating the structure of the imaging optical system of Embodiment 7. The imaging optical system includes six lenses arranged from the object side to the image side and an infrared cutoff filter. Lens 702 and 706 are aspherical lenses with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region. Lens 701 is a negative meniscus lens convex towards the object side. Lens 703 is a biconvex lens. Lens 704 is a positive meniscus lens convex towards the image side. Lens 705 is a negative meniscus lens convex towards the image side. An aperture stop 5 is located between lens 702 and lens 703.

[0244] Table 13 shows the configuration of the optical elements, lens properties, and focal length of the camera optical system of Embodiment 7. The overall focal length f of the camera optical system is f = 1.388, the aperture number Fno is Fno = 2, and the HFOV, representing the half field of view, is HFOV = 65 (degrees). In Table 13, the six lenses are designated as lenses 1-6 from the object side.

[0245] In this embodiment, the distance from the object to the first lens is infinitely large.

[0246] Table 13

[0247]

[0248] Table 14 is a table showing the conic constants and aspherical coefficients of each surface of each lens in Example 7.

[0249] Table 14

[0250]

[0251]

[0252] Figure 26 This is a diagram showing spherical aberration. Figure 26 The horizontal axis represents the position where the incident light rays parallel to the optical axis intersect the optical axis. Figure 26 The vertical axis represents the distance of the aforementioned ray from the optical axis, normalized according to the radius of the aperture stop. That is, 1 on the vertical axis represents the radius of the aperture stop. Figure 26 In the diagram, solid lines represent light with a wavelength of 587.5618 nanometers, single-dotted lines represent light with a wavelength of 486.1327 nanometers, and double-dotted lines represent light with a wavelength of 656.2725 nanometers.

[0253] Figure 27 This is a diagram showing the astigmatism of light at a wavelength of 587.5618 nanometers. Figure 23 The horizontal axis represents the position of the optical axis direction of the focal point. Figure 27 The vertical axis represents the angle of the light ray relative to the optical axis. Figure 23 The solid line represents the case of the sagittal plane. Figure 27 The dashed line represents the case of the tangent plane.

[0254] Figure 28 This is a graph showing the distortion of light at a wavelength of 587.5618 nanometers. Figure 28 The horizontal axis represents distortion as a percentage. Figure 28 The vertical axis represents the angle of the light ray relative to the optical axis.

[0255] Example 8

[0256] Figure 29 This diagram illustrates the structure of the imaging optical system of Embodiment 8. The imaging optical system includes three lenses arranged from the object side to the image side. The first lens 801 is an aspherical lens with infinite radii of curvature on both surfaces in the paraxial region and refractive power in the peripheral region. The second lens 802 is a positive meniscus lens convex towards the image side. The third lens 803 is a biconvex lens. An aperture stop 6 is located between the second lens 802 and the third lens 803.

[0257] Table 15 shows the configuration of the optical elements, lens properties, and focal length of the camera optical system of Embodiment 8. The overall focal length f of the camera optical system is f = 0.281, the aperture number Fno is Fno = 3.207, and the half field of view (HFOV) is HFOV = 50 (degrees). In Table 15, the three lenses are designated as lenses 1-3 from the object side.

[0258] In this embodiment, the distance from the object to the first lens is 5.242 (=5.142+0.100) mm. Surface 1 has no physical meaning.

[0259] Table 15

[0260]

[0261] Table 16 is a table showing the conic constants and aspherical coefficients of each surface of each lens in Example 8.

[0262] Table 16

[0263] noodle K A4 A6 A8 A10 A12 A14 2 0.0000 6.3833E+00 6.0877E+01 2.0059E+01 2.0564E+02 -1.7292E+04 -5.5077E+04 3 0.0000 3.4041E+01 5.7955E+02 1.2425E+04 7.7665E+05 4.9493E+07 4.1164E+09 4 -3.3331 2.1316E+00 -1.5054E+02 -1.0588E+04 -8.2216E+05 -5.3972E+07 -2.8720E+09 5 2.9591 1.7724E+01 2.0762E+03 -6.0037E+04 -2.5347E+07 3.1934E+09 -5.7530E+10 7 -17.3616 -3.4555E+01 2.5214E+03 -1.2066E+05 -1.1444E+07 9.9294E+08 -1.6919E+10 8 -0.441331964 1.3219E+01 1.9084E+01 -3.8121E+03 -5.3213E+04 1.4105E+06 1.3602E+06

[0264] Figure 30 This is a diagram showing spherical aberration. Figure 30 The horizontal axis represents the position where the incident light rays parallel to the optical axis intersect the optical axis. Figure 30 The vertical axis represents the distance of the aforementioned ray from the optical axis, normalized according to the radius of the aperture stop. That is, 1 on the vertical axis represents the radius of the aperture stop. Figure 30In the diagram, solid lines represent light with a wavelength of 0.580 micrometers, single-dotted lines represent light with a wavelength of 0.460 micrometers, and double-dotted lines represent light with a wavelength of 0.680 micrometers.

[0265] Figure 31 This is a diagram showing the astigmatism of light at a wavelength of 0.580 micrometers. Figure 31 The horizontal axis represents the position of the optical axis direction of the focal point. Figure 31 The vertical axis represents the image height. Figure 31 The solid line represents the case of the sagittal plane. Figure 31 The dashed line represents the case of the tangent plane.

[0266] Figure 32 This is a diagram showing the distortion of light at a wavelength of 0.580 micrometers. Figure 32 The horizontal axis represents distortion as a percentage. Figure 32 The vertical axis represents the image height.

[0267] Example 9

[0268] Figure 33 This diagram illustrates the structure of the imaging optical system of Embodiment 9. The imaging optical system includes three lenses arranged from the object side to the image side. The second lens 902 is an aspherical lens with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region. The first lens 901 is a biconcave lens. The third lens 903 is a biconvex lens. An aperture stop 6 is located between the second lens 902 and the third lens 903.

[0269] Table 17 shows the configuration of the optical elements, lens properties, and focal length of the camera optical system of Embodiment 9. The overall focal length f of the camera optical system is f = 0.271, the aperture number Fno is Fno = 3.397, and the half field of view (HFOV) is HFOV = 50 (degrees). In Table 17, the three lenses are designated as lenses 1-3 from the object side.

[0270] In this embodiment, the distance from the object to the first lens is 7.000 (=6.900+0.100) mm. Surface 1 has no physical meaning.

[0271] Table 17

[0272]

[0273]

[0274] Table 18 is a table showing the conic constants and aspherical coefficients of each surface of each lens in Example 9.

[0275] Table 18

[0276] noodle K A4 A6 A8 A10 A12 A14 2 -7.2871 1.8844E-01 -2.1952E+00 -6.4879E+00 1.5680E+02 1.6163E+03 -1.9165E+05 3 1.2661 5.1522E+00 2.8599E+02 8.0518E+03 2.3607E+05 1.0022E+07 2.6602E+08 4 0.0000 1.1316E+01 3.7463E+02 1.1874E+04 -1.4492E+05 -9.3042E+06 9.0840E+08 5 0.0000 4.0526E+01 -1.7543E+03 -3.3923E+03 9.9262E+06 9.8045E+08 -9.6190E+10 7 2.8927 -1.0603E+01 3.4683E+03 -2.7418E+05 -9.1850E+06 2.0587E+09 -1.0217E+11 8 -8.0440 2.5712E+01 -2.1733E+02 8.4674E+04 8.4327E+06 5.4233E+07 -1.6701E+10

[0277] Figure 34 This is a diagram showing spherical aberration. Figure 34 The horizontal axis represents the position where the incident light rays parallel to the optical axis intersect the optical axis. Figure 34 The vertical axis represents the distance of the aforementioned ray from the optical axis, normalized according to the radius of the aperture stop. That is, 1 on the vertical axis represents the radius of the aperture stop. Figure 34 In the diagram, solid lines represent light with a wavelength of 0.580 micrometers, single-dotted lines represent light with a wavelength of 0.460 micrometers, and double-dotted lines represent light with a wavelength of 0.680 micrometers.

[0278] Figure 35 This is a diagram showing the astigmatism of light at a wavelength of 0.580 micrometers. Figure 35 The horizontal axis represents the position of the optical axis direction of the focal point. Figure 35 The vertical axis represents the image height. Figure 35 The solid line represents the case of the sagittal plane. Figure 35 The dashed line represents the case of the tangent plane.

[0279] Figure 36 This is a diagram showing the distortion of light at a wavelength of 0.580 micrometers. Figure 36 The horizontal axis represents distortion as a percentage. Figure 36 The vertical axis represents the image height.

[0280] Example 10

[0281] Figure 37 This diagram illustrates the structure of the imaging optical system of Embodiment 10. The imaging optical system includes three lenses arranged from the object side to the image side and an infrared cutoff filter. The third lens 1003 is an aspherical lens with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region. The first lens 1001 is a negative meniscus lens convex towards the object side. The second lens 1002 is a biconvex lens. An aperture stop 3 is located between the first lens 1001 and the second lens 1002.

[0282] Table 19 shows the configuration of the optical elements, lens properties, and focal length of the camera optical system of Embodiment 10. The overall focal length f of the camera optical system is f = 0.87, the aperture number Fno is Fno = 2.8, and the half field of view (HFOV) is HFOV = 65 (degrees). In Table 19, the three lenses are designated as lenses 1-3 from the object side.

[0283] In this embodiment, the distance from the object to the first lens is infinitely large.

[0284] Table 19

[0285]

[0286] Table 20 is a table showing the conic constants and aspherical coefficients of each surface of each lens in Embodiment 10.

[0287] Table 20

[0288] noodle K A4 A6 A8 A10 A12 A14 1 16.0050 1.3252E+00 -1.4936E+00 -2.1568E-01 -2.5552E+00 -1.6221E-06 -1.4352E-06 2 0.0575 3.3222E+00 2.9882E+01 -2.0762E+02 1.2585E+03 4.9403E-08 -4.1702E-10 4 -90.0000 -3.4220E+00 2.9371E+01 -1.1755E+03 5.1917E+03 -2.0131E-07 4.3571E-08 5 0.4340 5.2549E-01 -7.1656E+00 1.0551E+02 -6.6880E+02 2.5494E-08 -8.0269E-10 6 0.0000 -5.5175E-01 -1.8052E+00 -9.1508E+00 4.0814E+00 -2.3728E-05 8.3786E-09 7 0.0000 5.3875E-01 -3.3879E+00 3.8628E+00 -2.2918E+00 -8.0836E-06 3.7892E-10

[0289] Figure 38 This is a diagram showing spherical aberration. Figure 38 The horizontal axis represents the position where the incident light rays parallel to the optical axis intersect the optical axis. Figure 38 The vertical axis represents the distance of the aforementioned ray from the optical axis, normalized according to the radius of the aperture stop. That is, 1 on the vertical axis represents the radius of the aperture stop. Figure 38 In the diagram, solid lines represent light with a wavelength of 587.5618 nanometers, single-dotted lines represent light with a wavelength of 486.1327 nanometers, and double-dotted lines represent light with a wavelength of 656.2725 nanometers.

[0290] Figure 39 This is a diagram showing the astigmatism of light at a wavelength of 587.5618 nanometers. Figure 39 The horizontal axis represents the position of the optical axis direction of the focal point. Figure 39 The vertical axis represents the angle of the light ray relative to the optical axis. Figure 39 The solid line represents the case of the sagittal plane. Figure 39 The dashed line represents the case of the tangent plane.

[0291] Figure 40 This is a graph showing the distortion of light at a wavelength of 587.5618 nanometers. Figure 40 The horizontal axis represents distortion as a percentage. Figure 40 The vertical axis represents the angle of the light ray relative to the optical axis.

[0292] Example 11

[0293] Figure 41 This is a diagram illustrating the structure of the imaging optical system of Embodiment 11. The imaging optical system includes four lenses arranged from the object side to the image side. The first lens 1101 is an aspherical lens with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region. The second lens 1102 is a positive meniscus lens convex towards the image side. The third lens 1103 is a positive meniscus lens convex towards the image side. The fourth lens 1104 is a biconvex lens. An aperture stop 6 is located between the second lens 1102 and the third lens 1103.

[0294] Table 21 shows the configuration of the optical elements, lens properties, and focal length of the camera optical system of Embodiment 11. The overall focal length f of the camera optical system is f = 0.273, the aperture number Fno is Fno = 3.25, and the half field of view (HFOV) is HFOV = 50 (degrees). In Table 21, the four lenses are designated as lenses 1-4 from the object side.

[0295] In this embodiment, the distance from the object to the first lens is 5.242 (=5.142+0.100) mm. Surface 1 has no physical meaning.

[0296] Table 21

[0297]

[0298] Table 22 is a table showing the conic constants and aspherical coefficients of each surface of each lens in Embodiment 11.

[0299] Table 22

[0300] noodle K A4 A6 A8 A10 A12 A14 2 0.0000 -2.32836E+00 -1.55438E+01 -1.41717E+01 -1.63171E+02 6.17353E+02 1.10256E+04 3 0.0000 1.64151E+01 1.46452E+01 -3.38912E+02 -5.85873E+03 -1.86339E+05 -4.65676E+06 4 -17.5374 1.41791E+01 -6.74238E+01 -1.30252E+02 -1.82588E+02 4.89228E+04 1.25134E+06 5 -12.8678 -9.41961E+00 7.20759E+01 1.65486E+02 -2.84383E+04 -5.79999E+05 1.00497E+08 7 2.3672 -1.26715E+01 6.17218E+02 2.52732E+05 1.73377E+07 8.27034E+07 -2.15756E+11 8 -0.9986 1.52868E+00 -7.21124E+01 7.03914E+03 2.45533E+05 7.79151E+06 2.92319E+08 9 6.6857 5.81604E+00 -2.34589E+01 -1.11135E+02 -1.29976E+03 -1.58222E+04 -2.68141E+05 10 20.0000 -3.97802E+00 -2.06706E+01 -2.53867E+01 2.87569E+02 -1.94959E+03 -1.83457E+05

[0301] Figure 42 This is a diagram showing spherical aberration. Figure 42 The horizontal axis represents the position where the incident light rays parallel to the optical axis intersect the optical axis. Figure 42 The vertical axis represents the distance of the aforementioned ray from the optical axis, normalized according to the radius of the aperture stop. That is, 1 on the vertical axis represents the radius of the aperture stop. Figure 42 In the diagram, solid lines represent light with a wavelength of 0.580 micrometers, single-dotted lines represent light with a wavelength of 0.460 micrometers, and double-dotted lines represent light with a wavelength of 0.680 micrometers.

[0302] Figure 43 This is a diagram showing the astigmatism of light at a wavelength of 0.580 micrometers. Figure 43 The horizontal axis represents the position of the optical axis direction of the focal point. Figure 43 The vertical axis represents the image height. Figure 43 The solid line represents the case of the sagittal plane. Figure 43 The dashed line represents the case of the tangent plane.

[0303] Figure 44 This is a diagram showing the distortion of light at a wavelength of 0.580 micrometers. Figure 44 The horizontal axis represents distortion as a percentage. Figure 44 The vertical axis represents the image height.

[0304] Example 12

[0305] Figure 45This diagram illustrates the structure of the imaging optical system of Embodiment 12. The imaging optical system includes four lenses arranged from the object side to the image side. The second lens 1202 is an aspherical lens with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region. The first lens 1201 is a biconcave lens. The third lens 1203 is a biconvex lens. The fourth lens 1204 is a biconcave lens. An aperture stop 6 is located between the second lens 1202 and the third lens 1203.

[0306] Table 23 shows the configuration of the optical elements, lens properties, and focal length of the camera optical system of Embodiment 12. The overall focal length f of the camera optical system is f = 0.265, the aperture number Fno is Fno = 3.577, and the half field of view (HFOV) is HFOV = 50 (degrees). In Table 23, the four lenses are designated as lenses 1-4 from the object side.

[0307] In this embodiment, the distance from the object to the first lens is 5.242 (=5.142+0.100) mm. Surface 1 has no physical meaning.

[0308] Table 23

[0309]

[0310] Table 24 is a table showing the conic constants and aspherical coefficients of each facet of each lens in Example 12.

[0311] Table 24

[0312]

[0313]

[0314] Figure 46 This is a diagram showing spherical aberration. Figure 46 The horizontal axis represents the position where the incident light rays parallel to the optical axis intersect the optical axis. Figure 46 The vertical axis represents the distance of the aforementioned ray from the optical axis, normalized according to the radius of the aperture stop. That is, 1 on the vertical axis represents the radius of the aperture stop. Figure 46 In the diagram, solid lines represent light with a wavelength of 0.580 micrometers, single-dotted lines represent light with a wavelength of 0.460 micrometers, and double-dotted lines represent light with a wavelength of 0.680 micrometers.

[0315] Figure 47 This is a diagram showing the astigmatism of light at a wavelength of 0.580 micrometers. Figure 47 The horizontal axis represents the position of the optical axis direction of the focal point. Figure 47 The vertical axis represents the image height. Figure 47 The solid line represents the case of the sagittal plane. Figure 47The dashed line represents the case of the tangent plane.

[0316] Figure 48 This is a diagram showing the distortion of light at a wavelength of 0.580 micrometers. Figure 48 The horizontal axis represents distortion as a percentage. Figure 48 The vertical axis represents the image height.

[0317] Reference Example 1

[0318] Figure 49 This diagram illustrates the structure of the imaging optical system of Reference Example 1. The imaging optical system includes four lenses arranged from the object side to the image side. The third lens 1303 is an aspherical lens with infinite radii of curvature on both surfaces in the paraxial region and refractive power in the peripheral region. The first lens 1301 is a negative meniscus lens convex towards the object side. The second lens 1302 is a biconvex lens. The fourth lens 1304 is a positive meniscus lens convex towards the object side. An aperture stop 6 is located between the second lens 1302 and the third lens 1303.

[0319] Table 25 shows the configuration of the optical elements, the properties of the lenses, and the focal length of the camera optical system of Reference Example 1. The overall focal length of the camera optical system is f = 0.24, the aperture number is Fno = 3.438, and the half field of view (HFOV) is HFOV = 50 (degrees). In Table 25, the four lenses are designated as lenses 1-4 from the object side.

[0320] In this reference example, the distance from the object to the object of the first lens is 5.242 (=5.142+0.100) mm. Surface 1 has no physical meaning.

[0321] Table 25

[0322]

[0323]

[0324] Table 26 is a table showing the conic constants and aspherical coefficients of each facet of each lens in Reference Example 1.

[0325] Table 26

[0326] noodle K A4 A6 A8 A10 A12 A14 2 -9.1435 -5.83006E+00 2.78698E+00 6.78811E+01 -5.82375E+01 -2.41663E+03 -6.70222E+04 3 -1.0771 -7.57825E+00 -5.75350E+02 1.14496E+04 -2.49280E+04 -3.13127E+05 -2.79784E+07 4 -2.5817 2.77779E-01 2.40042E+02 3.85923E+03 7.30756E+04 1.36131E+06 -1.24459E+08 5 -20.0001 6.27636E+00 1.03990E+02 7.13269E+03 -2.54640E+04 5.62848E+07 -1.07027E+09 7 0.0000 -1.73270E+01 3.83561E+03 -1.29365E+05 -5.18863E+05 -1.86278E+07 2.60436E+09 8 0.0000 -9.03193E+01 2.35365E+03 -1.03609E+04 3.77145E+04 2.08807E+05 -3.24329E+07 9 -4.5848 -2.57022E+00 -4.28017E+02 7.07632E+03 -5.85680E+02 3.80621E+04 1.59338E+06 10 9.2100 -6.54348E+00 -4.22838E+02 3.19529E+03 -8.97533E+01 -3.38674E+04 -1.22112E+06

[0327] Figure 50 This is a diagram showing spherical aberration. Figure 50 The horizontal axis represents the position where the incident light rays parallel to the optical axis intersect the optical axis. Figure 50 The vertical axis represents the distance of the aforementioned ray from the optical axis, normalized according to the radius of the aperture stop. That is, 1 on the vertical axis represents the radius of the aperture stop. Figure 50In the diagram, solid lines represent light with a wavelength of 0.580 micrometers, single-dotted lines represent light with a wavelength of 0.460 micrometers, and double-dotted lines represent light with a wavelength of 0.680 micrometers.

[0328] Figure 51 This is a diagram showing the astigmatism of light at a wavelength of 0.580 micrometers. Figure 51 The horizontal axis represents the position of the optical axis direction of the focal point. Figure 51 The vertical axis represents the image height. Figure 51 The solid line represents the case of the sagittal plane. Figure 51 The dashed line represents the case of the tangent plane.

[0329] Figure 52 This is a diagram showing the distortion of light at a wavelength of 0.580 micrometers. Figure 52 The horizontal axis represents distortion as a percentage. Figure 52 The vertical axis represents the image height.

[0330] Example 14

[0331] Figure 53 This is a diagram illustrating the structure of the imaging optical system of Embodiment 14. The imaging optical system includes four lenses arranged from the object side to the image side. The fourth lens 1404 is an aspherical lens with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region. The first lens 1401 is a biconcave lens. The second lens 1402 is a biconvex lens. The third lens 1403 is a positive meniscus lens convex towards the image side. An aperture stop 6 is located between the second lens 1402 and the third lens 1403.

[0332] Table 27 shows the configuration of the optical elements, lens properties, and focal length of the camera optical system of Embodiment 14. The overall focal length f of the camera optical system is f = 0.244, the aperture number Fno is Fno = 3.185, and the half field of view (HFOV) is HFOV = 50 (degrees). In Table 27, the four lenses are designated as lenses 1-4 from the object side.

[0333] In this embodiment, the distance from the object to the first lens is 5.242 (=5.142+0.100) mm. Surface 1 has no physical meaning.

[0334] Table 27

[0335]

[0336] Table 28 is a table showing the conic constants and aspherical coefficients of each facet of each lens in Example 14.

[0337] Table 28

[0338] noodle K A4 A6 A8 A10 A12 A14 2 -12.8414 3.31259E+00 -7.19393E+00 -6.70894E+01 -3.66190E+02 -4.93383E+02 -6.11731E+03 3 0.4405 -4.58397E-01 4.33687E+01 3.96877E+03 5.63172E+05 1.01356E+07 -3.77482E+09 4 -9.4333 2.31138E+01 -1.21532E+02 -3.55780E+03 2.75787E+04 9.49692E+06 6.24750E+08 5 -6.7282 -2.00366E+01 -8.89183E+01 -2.24590E+04 -2.94207E+05 9.50845E+07 6.67465E+09 7 17.4482 -5.80457E+01 2.65830E+03 1.02001E+05 2.38257E+06 -9.97373E+07 -6.23985E+10 8 -0.2813 6.75849E+00 1.11674E+02 2.33977E+03 2.48072E+04 1.42314E+06 8.51453E+07 9 0.0000 -1.66280E+00 1.25555E+01 7.18142E+02 9.91073E+03 -1.32431E+05 -1.43968E+07 10 0.0000 -1.30962E+00 -1.96094E+01 -4.02359E+02 -5.30328E+03 -8.20004E+04 -2.04582E+06

[0339] Figure 54 This is a diagram showing spherical aberration. Figure 54 The horizontal axis represents the position where the incident light rays parallel to the optical axis intersect the optical axis. Figure 54 The vertical axis represents the distance of the aforementioned ray from the optical axis, normalized according to the radius of the aperture stop. That is, 1 on the vertical axis represents the radius of the aperture stop. Figure 54 In the diagram, solid lines represent light with a wavelength of 0.580 micrometers, single-dotted lines represent light with a wavelength of 0.460 micrometers, and double-dotted lines represent light with a wavelength of 0.680 micrometers.

[0340] Figure 55 This is a diagram showing the astigmatism of light at a wavelength of 0.580 micrometers. Figure 55 The horizontal axis represents the position of the optical axis direction of the focal point. Figure 55 The vertical axis represents the image height. Figure 55 The solid line represents the case of the sagittal plane. Figure 55 The dashed line represents the case of the tangent plane.

[0341] Figure 56 This is a diagram showing the distortion of light at a wavelength of 0.580 micrometers. Figure 56 The horizontal axis represents distortion as a percentage. Figure 56 The vertical axis represents the image height.

[0342] Example 15

[0343] Figure 57 This diagram illustrates the structure of the imaging optical system of Embodiment 15. The imaging optical system includes five lenses arranged from the object side to the image side and an infrared cutoff filter. The first lens 1501 is an aspherical lens with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region. The second lens 1502 is a positive meniscus lens convex towards the image side. The third lens 1503 is a biconvex lens. The fourth lens 1504 is a negative meniscus lens convex towards the image side. The fifth lens 1505 is a positive meniscus lens convex towards the object side. An aperture stop 5 is located between the second lens 1502 and the third lens 1503.

[0344] Table 29 shows the configuration of the optical elements, lens properties, and focal length of the camera optical system of Embodiment 15. The overall focal length f of the camera optical system is f = 1.69, the aperture number Fno is Fno = 2, and the HFOV, representing the half field of view, is HFOV = 60 (degrees). In Table 29, the five lenses are designated as lenses 1-5 from the object side.

[0345] In this embodiment, the distance from the object to the first lens is infinitely large.

[0346] Table 29

[0347]

[0348] Table 30 is a table showing the conic constants and aspherical coefficients of each surface of each lens in Embodiment 15.

[0349] Table 30

[0350]

[0351]

[0352] Figure 58 This is a diagram showing spherical aberration. Figure 58 The horizontal axis represents the position where the incident light rays parallel to the optical axis intersect the optical axis. Figure 58 The vertical axis represents the distance of the aforementioned ray from the optical axis, normalized according to the radius of the aperture stop. That is, 1 on the vertical axis represents the radius of the aperture stop. Figure 58 In the diagram, solid lines represent light with a wavelength of 587.5618 nanometers, single-dotted lines represent light with a wavelength of 486.1327 nanometers, and double-dotted lines represent light with a wavelength of 656.2725 nanometers.

[0353] Figure 59 This is a diagram showing the astigmatism of light at a wavelength of 587.5618 nanometers. Figure 59 The horizontal axis represents the position of the optical axis direction of the focal point. Figure 59 The vertical axis represents the image height. Figure 59 The solid line represents the case of the sagittal plane. Figure 59 The dashed line represents the case of the tangent plane.

[0354] Figure 60 This is a graph showing the distortion of light at a wavelength of 587.5618 nanometers. Figure 60 The horizontal axis represents distortion as a percentage. Figure 60 The vertical axis represents the image height.

[0355] Example 16

[0356] Figure 61 This diagram illustrates the structure of the imaging optical system of Embodiment 16. The imaging optical system includes five lenses arranged from the object side to the image side and an infrared cutoff filter. The second lens 1602 is an aspherical lens with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region. The first lens 1601 is a negative meniscus lens convex towards the object side. The third lens 1603 is a biconvex lens. The fourth lens 1604 is a biconcave lens. The fifth lens 1605 is a biconvex lens. The aperture stop 5 is located closer to the object side than the object side of the third lens 1603.

[0357] Table 31 shows the configuration of the optical elements, the properties of the lenses, and the focal length of the camera optical system of Embodiment 16. The overall focal length f of the camera optical system is f = 1.3, the aperture number Fno is Fno = 2, and the HFOV, which represents the half field of view, is HFOV = 60 (degrees). In Table 31, the five lenses are designated as lenses 1-5 from the object side.

[0358] In this embodiment, the distance from the object to the first lens is infinitely large.

[0359] Table 31

[0360]

[0361]

[0362] Table 32 is a table showing the conic constants and aspherical coefficients of each facet of each lens in Embodiment 16.

[0363] Table 32

[0364] noodle K A4 A6 A8 A10 A12 A14 1 0.8179 5.7037E-03 -4.1021E-03 2.3033E-04 2.2707E-05 -1.6911E-06 -6.5007E-08 2 -0.8896 8.7653E-02 -9.3382E-03 4.4523E-02 -2.5845E-02 -1.6860E-07 1.6171E-08 4 56.2288 -6.6155E-02 2.1388E-02 -2.2250E-02 7.2844E-03 2.6238E-09 -1.9906E-12 5 56.2288 -1.4473E-01 9.8671E-02 -4.8968E-02 1.5996E-02 1.6634E-10 -3.2330E-12 6 -1.8767 -1.4887E-02 1.3031E-02 5.5654E-02 -9.9089E-02 0.0000E+00 0.0000E+00 7 0.4527 1.0433E-01 -1.7960E-01 1.2839E-01 -6.8380E-02 -4.8765E-12 -7.1656E-13 8 2.5650 -1.4605E-01 2.1766E-03 -2.9251E-02 4.8900E-02 2.0104E-11 4.3986E-12 9 -13.1448 2.0720E-02 -4.2816E-02 4.3296E-02 -1.3094E-02 -1.2225E-11 -3.0361E-12 10 -19.0957 8.6651E-02 -2.0583E-02 1.5181E-02 -9.1093E-04 5.7829E-10 1.5574E-12 11 -1.5755 2.9450E-02 5.3841E-02 1.5708E-02 -2.0297E-03 1.4035E-10 -4.6034E-12

[0365] Figure 62 This is a diagram showing spherical aberration. Figure 62 The horizontal axis represents the position where the incident light rays parallel to the optical axis intersect the optical axis. Figure 62 The vertical axis represents the distance of the aforementioned ray from the optical axis, normalized according to the radius of the aperture stop. That is, 1 on the vertical axis represents the radius of the aperture stop. Figure 62 In the diagram, solid lines represent light with a wavelength of 587.5618 nanometers, single-dotted lines represent light with a wavelength of 486.1327 nanometers, and double-dotted lines represent light with a wavelength of 656.2725 nanometers.

[0366] Figure 63 This is a diagram showing the astigmatism of light at a wavelength of 587.5618 nanometers. Figure 63 The horizontal axis represents the position of the optical axis direction of the focal point. Figure 63 The vertical axis represents the image height. Figure 63 The solid line represents the case of the sagittal plane. Figure 63 The dashed line represents the case of the tangent plane.

[0367] Figure 64 This is a graph showing the distortion of light at a wavelength of 587.5618 nanometers. Figure 64 The horizontal axis represents distortion as a percentage. Figure 64 The vertical axis represents the image height.

[0368] Example 17

[0369] Figure 65 This diagram illustrates the structure of the imaging optical system of Embodiment 17. The imaging optical system includes five lenses arranged from the object side to the image side and an infrared cutoff filter. The third lens 1703 is an aspherical lens with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region. The first lens 1701 is a biconcave lens. The second lens 1702 is a biconvex lens. The fourth lens 1704 is a biconvex lens. The fifth lens 1705 is a negative meniscus lens convex towards the object side. An aperture stop 3 is located between the first lens 1701 and the second lens 1702.

[0370] Table 33 shows the configuration of the optical elements, the properties of the lenses, and the focal length of the camera optical system of Embodiment 17. The overall focal length f of the camera optical system is f = 1.55, the aperture number Fno is Fno = 2, and the HFOV, which represents the half field of view, is HFOV = 60 (degrees). In Table 33, the five lenses are designated as lenses 1-5 from the object side.

[0371] In this embodiment, the distance from the object to the first lens is infinitely large.

[0372] Table 33

[0373]

[0374] Table 34 is a table showing the conic constants and aspherical coefficients of each surface of each lens in Example 17.

[0375] Table 34

[0376] noodle K A4 A6 A8 A10 A12 A14 1 -90.0000 2.3683E-02 -3.0230E-03 1.8374E-04 3.3049E-06 -1.4415E-06 6.4576E-08 2 0.7353 1.0740E-01 -1.7952E-02 1.1163E-02 1.5900E-03 -2.5554E-03 1.6924E-04 4 -2.0771 -8.2513E-02 -1.3276E-01 2.6825E-01 -5.5734E-01 0.0000E+00 0.0000E+00 5 4.9311 -3.0360E-01 1.0233E-01 4.3446E-02 -5.0432E-02 -6.0615E-05 -1.1237E-04 6 -90.0000 -1.9078E-01 -2.1202E-02 4.1238E-02 3.8322E-03 -1.8074E-03 9.4190E-07 7 -90.0000 1.5694E-01 -6.9520E-02 -2.0582E-02 5.5314E-03 9.5360E-04 -3.8668E-05 8 30.4139 8.1516E-02 -3.2995E-02 -4.3439E-03 -3.2801E-03 9.6842E-04 -7.5342E-06 9 -5.6422 -1.0386E-01 2.0671E-02 4.1304E-03 4.0088E-03 1.0830E-04 6.7512E-06 10 -90.0000 -1.1233E-01 1.2200E-02 9.6852E-03 6.1476E-05 -4.9425E-04 -6.8847E-05 11 -6.2476 -7.0994E-02 2.2889E-02 -6.4327E-03 5.2260E-04 3.1255E-04 -8.5887E-05

[0377] Figure 66 This is a diagram showing spherical aberration. Figure 66 The horizontal axis represents the position where the incident light rays parallel to the optical axis intersect the optical axis. Figure 66 The vertical axis represents the distance of the aforementioned ray from the optical axis, normalized according to the radius of the aperture stop. That is, 1 on the vertical axis represents the radius of the aperture stop. Figure 66 In the diagram, solid lines represent light with a wavelength of 587.5618 nanometers, single-dotted lines represent light with a wavelength of 486.1327 nanometers, and double-dotted lines represent light with a wavelength of 656.2725 nanometers.

[0378] Figure 67 This is a diagram showing the astigmatism of light at a wavelength of 587.5618 nanometers. Figure 67 The horizontal axis represents the position of the optical axis direction of the focal point. Figure 67 The vertical axis represents the image height. Figure 67 The solid line represents the case of the sagittal plane. Figure 67 The dashed line represents the case of the tangent plane.

[0379] Figure 68 This is a graph showing the distortion of light at a wavelength of 587.5618 nanometers. Figure 68 The horizontal axis represents distortion as a percentage. Figure 68 The vertical axis represents the image height.

[0380] Example 18

[0381] Figure 69 This diagram illustrates the structure of the imaging optical system of Embodiment 18. The imaging optical system includes five lenses arranged from the object side to the image side and an infrared cutoff filter. The fourth lens 1804 is an aspherical lens with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region. The first lens 1801 is a biconcave lens. The second lens 1802 is a biconvex lens. The third lens 1803 is a biconcave lens. The fifth lens 1805 is a biconvex lens. An aperture stop 3 is located between the first lens 1801 and the second lens 1802.

[0382] Table 35 shows the configuration of the optical elements, lens properties, and focal length of the camera optical system of Embodiment 18. The overall focal length f of the camera optical system is f = 1.6, the aperture number Fno is Fno = 2, and the HFOV, representing the half field of view, is HFOV = 60 (degrees). In Table 35, the five lenses are designated as lenses 1-5 from the object side.

[0383] In this embodiment, the distance from the object to the first lens is infinitely large.

[0384] Table 35

[0385]

[0386] Table 36 is a table showing the conic constants and aspherical coefficients of each facet of each lens in Embodiment 18.

[0387] Table 36

[0388]

[0389]

[0390] Figure 70 This is a diagram showing spherical aberration. Figure 70 The horizontal axis represents the position where the incident light rays parallel to the optical axis intersect the optical axis. Figure 70 The vertical axis represents the distance of the aforementioned ray from the optical axis, normalized according to the radius of the aperture stop. That is, 1 on the vertical axis represents the radius of the aperture stop. Figure 70In the diagram, solid lines represent light with a wavelength of 587.5618 nanometers, single-dotted lines represent light with a wavelength of 486.1327 nanometers, and double-dotted lines represent light with a wavelength of 656.2725 nanometers.

[0391] Figure 71 This is a diagram showing the astigmatism of light at a wavelength of 587.5618 nanometers. Figure 71 The horizontal axis represents the position of the optical axis direction of the focal point. Figure 71 The vertical axis represents the image height. Figure 71 The solid line represents the case of the sagittal plane. Figure 71 The dashed line represents the case of the tangent plane.

[0392] Figure 72 This is a graph showing the distortion of light at a wavelength of 587.5618 nanometers. Figure 72 The horizontal axis represents distortion as a percentage. Figure 72 The vertical axis represents the image height.

[0393] Example 19

[0394] Figure 73 This diagram illustrates the structure of the imaging optical system of Embodiment 19. The imaging optical system includes five lenses arranged from the object side to the image side and an infrared cutoff filter. The fifth lens 1905 is an aspherical lens with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region. The first lens 1901 is a biconcave lens. The second lens 1902 is a biconvex lens. The third lens 1903 is a biconcave lens. The fourth lens 1904 is a biconvex lens. The aperture stop 3 is located closer to the object side than the object side of the second lens 1902.

[0395] Table 37 shows the configuration of the optical elements, the properties of the lenses, and the focal length of the camera optical system of Embodiment 19. The overall focal length f of the camera optical system is f = 1.4, the aperture number Fno is Fno = 2, and the HFOV, which represents the half field of view, is HFOV = 60 (degrees). In Table 37, the five lenses are designated as lenses 1-5 from the object side.

[0396] In this embodiment, the distance from the object to the first lens is infinitely large.

[0397] Table 37

[0398]

[0399]

[0400] Table 38 is a table showing the conic constants and aspherical coefficients of each facet of each lens in Embodiment 19.

[0401] Table 38

[0402] noodle K A4 A6 A8 A10 A12 A14 1 -90.0000 -1.0207E-02 9.5231E-04 2.5930E-05 -3.5208E-06 -5.2298E-07 4.5176E-08 2 -0.6839 -2.2244E-02 -1.8222E-02 -1.7697E-03 -3.3030E-04 -3.6308E-06 -1.1747E-06 4 0.1452 3.1763E-02 8.8548E-03 -1.0762E-03 -2.1196E-04 -1.1015E-13 6.9690E-16 5 90.0000 5.8873E-02 4.1834E-02 -1.0676E-02 2.4312E-02 4.4638E-10 -1.0169E-11 6 -1.5562 3.0436E-02 1.2059E-02 -1.2073E-01 -6.2694E-03 0.0000E+00 0.0000E+00 7 -5.4943 -1.4743E-01 -5.9764E-02 5.1021E-02 -2.9446E-02 2.2860E-14 1.1757E-15 8 -4.6226 3.5341E-02 -6.0148E-02 -3.2539E-02 9.0784E-02 1.8405E-14 7.8387E-16 9 -7.4724 1.4767E-01 2.3129E-02 -1.2485E-02 7.1190E-02 -5.6997E-12 1.1303E-15 10 -90.0000 4.8492E-02 -5.3535E-02 1.8189E-02 4.2188E-03 -2.0268E-03 -2.4637E-08 11 -90.0000 2.4289E-02 -1.0504E-02 -3.8614E-03 8.8037E-04 -1.1644E-05 8.3137E-08

[0403] Figure 74 This is a diagram showing spherical aberration. Figure 74 The horizontal axis represents the position where the incident light rays parallel to the optical axis intersect the optical axis. Figure 74 The vertical axis represents the distance of the aforementioned ray from the optical axis, normalized according to the radius of the aperture stop. That is, 1 on the vertical axis represents the radius of the aperture stop. Figure 74 In the diagram, solid lines represent light with a wavelength of 587.5618 nanometers, single-dotted lines represent light with a wavelength of 486.1327 nanometers, and double-dotted lines represent light with a wavelength of 656.2725 nanometers.

[0404] Figure 75 This is a diagram showing the astigmatism of light at a wavelength of 587.5618 nanometers. Figure 75 The horizontal axis represents the position of the optical axis direction of the focal point. Figure 75 The vertical axis represents the image height. Figure 75 The solid line represents the case of the sagittal plane. Figure 75 The dashed line represents the case of the tangent plane.

[0405] Figure 76 This is a graph showing the distortion of light at a wavelength of 587.5618 nanometers. Figure 76 The horizontal axis represents distortion as a percentage. Figure 76 The vertical axis represents the image height.

[0406] Example 20

[0407] Figure 77 This is a diagram illustrating the structure of the imaging optical system of Embodiment 20. The imaging optical system includes five lenses arranged from the object side to the image side and an infrared cutoff filter. The fifth lens 2005 is an aspherical lens with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region. The first lens 2001 is a negative meniscus lens convex towards the object side. The second lens 2002 is a positive meniscus lens convex towards the object side. The third lens 2003 is a biconvex lens. The fourth lens 2004 is a negative meniscus lens convex towards the image side. An aperture stop 5 is located between the second lens 2002 and the third lens 2003.

[0408] Table 39 shows the configuration of the optical elements, lens properties, and focal length of the camera optical system of Embodiment 20. The overall focal length f of the camera optical system is f = 1.69, the aperture number Fno is Fno = 2, and the HFOV, representing the half field of view, is HFOV = 60 (degrees). In Table 39, the five lenses are designated as lenses 1-5 from the object side.

[0409] In this embodiment, the distance from the object to the first lens is infinitely large.

[0410] Table 39

[0411]

[0412] Table 40 is a table showing the conic constants and aspherical coefficients of each surface of each lens in Embodiment 20.

[0413] Table 40

[0414] noodle K A4 A6 A8 A10 A12 A14 1 -90.0000 1.4022E-02 -2.1589E-03 1.6078E-04 -3.3578E-05 6.7209E-06 -4.0845E-07 2 -0.0777 5.0991E-02 -3.4859E-02 3.7447E-02 -1.5635E-03 -1.7443E-02 6.6831E-03 4 -10.5504 -6.4805E-02 -1.5919E-01 2.9595E-01 -5.6178E-01 0.0000E+00 0.0000E+00 5 -0.1480 2.0895E-01 -1.7379E-01 1.3421E-01 -3.2192E-02 7.2923E-07 2.2239E-07 6 33.3000 -3.2874E-02 4.4554E-02 -2.7515E-02 2.2700E-02 7.1933E-09 -3.2419E-09 7 -6.8625 1.4625E-02 2.5747E-05 6.4245E-04 -2.8271E-03 1.3692E-04 2.7418E-09 8 -11.1891 6.6853E-02 4.6226E-04 -5.9200E-03 3.5794E-03 2.2220E-04 -1.2089E-04 9 -5.2796 -1.3659E-01 4.0990E-02 1.3003E-02 1.4618E-02 -6.4134E-03 -4.0579E-05 10 -90.0000 -1.8409E-01 -1.9550E-02 -2.9351E-02 5.9433E-03 2.0842E-02 -5.6960E-03 11 -90.0000 -2.4665E-02 -4.6170E-02 1.2322E-02 2.2999E-03 -5.3992E-04 2.2546E-04

[0415] Figure 78 This is a diagram showing spherical aberration. Figure 78 The horizontal axis represents the position where the incident light rays parallel to the optical axis intersect the optical axis. Figure 78 The vertical axis represents the distance of the aforementioned ray from the optical axis, normalized according to the radius of the aperture stop. That is, 1 on the vertical axis represents the radius of the aperture stop. Figure 78 In the diagram, solid lines represent light with a wavelength of 587.5618 nanometers, single-dotted lines represent light with a wavelength of 486.1327 nanometers, and double-dotted lines represent light with a wavelength of 656.2725 nanometers.

[0416] Figure 79 This is a diagram showing the astigmatism of light at a wavelength of 587.5618 nanometers. Figure 79 The horizontal axis represents the position of the optical axis direction of the focal point. Figure 79 The vertical axis represents the image height. Figure 79 The solid line represents the case of the sagittal plane. Figure 79 The dashed line represents the case of the tangent plane.

[0417] Figure 80 This is a graph showing the distortion of light at a wavelength of 587.5618 nanometers. Figure 80 The horizontal axis represents distortion as a percentage. Figure 80 The vertical axis represents the image height.

[0418] Example 21

[0419] Figure 81 This diagram illustrates the structure of the imaging optical system of Embodiment 21. The imaging optical system includes five lenses arranged from the object side to the image side. Lens 2101, 2102, and 2105 are aspherical lenses with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region. Lens 2103 is a biconvex lens. Lens 2104 is a negative meniscus lens convex towards the image side. An aperture stop 6 is located between lens 2102 and lens 2103.

[0420] Table 41 shows the configuration of the optical elements, lens properties, and focal length of the camera optical system of Embodiment 21. The overall focal length f of the camera optical system is f = 0.264, the aperture number Fno is Fno = 2.51, and the half field of view (HFOV) is HFOV = 50 (degrees). In Table 41, the five lenses are designated as lenses 1-5 from the object side.

[0421] In this embodiment, the distance from the object to the first lens is 5.242 (=5.142+0.100) mm. Surface 1 has no physical meaning.

[0422] Table 41

[0423]

[0424] Table 42 is a table showing the conic constants and aspherical coefficients of each facet of each lens in Embodiment 21.

[0425] Table 42

[0426] noodle K A4 A6 A8 A10 A12 A14 2 90.0000 -2.22576E+00 6.23522E+01 1.53085E+02 8.89580E+02 -8.35882E+03 -5.91756E+05 3 90.0000 1.15995E+02 -8.46068E+02 4.09923E+03 9.87895E+04 -3.67235E+06 -3.88181E+08 4 -74.0000 1.16721E+02 -2.17027E+03 -7.23916E+03 -1.25135E+05 2.81108E+06 2.88505E+08 5 41.0000 5.62622E+01 -3.60024E+03 8.07693E+04 6.47018E+05 -5.68949E+08 4.93227E+10 7 -20.0000 2.81690E+01 -4.39719E+03 -3.15856E+05 -6.54472E+06 1.84291E+09 9.37370E+10 8 -1.9876 4.49814E+01 -5.68453E+03 -6.28784E+04 -2.81565E+06 6.71141E+07 3.53324E+10 9 -1.7135 -2.43292E+01 2.15889E+03 9.12372E+04 6.76144E+06 1.85898E+08 -2.34746E+10 10 -0.9925 3.06889E+00 1.63863E+03 -1.31779E+03 -3.29863E+05 -7.15018E+06 5.01160E+08 11 90.0000 4.43392E+01 -1.04854E+03 -3.75104E+02 5.62925E+04 1.40463E+05 -2.69067E+08 12 90.0000 4.72473E+01 -1.43463E+03 -3.96014E+03 2.42354E+05 3.79666E+06 -8.96607E+07

[0427] Figure 82 This is a diagram showing spherical aberration. Figure 82 The horizontal axis represents the position where the incident light rays parallel to the optical axis intersect the optical axis. Figure 82 The vertical axis represents the distance of the aforementioned ray from the optical axis, normalized according to the radius of the aperture stop. That is, 1 on the vertical axis represents the radius of the aperture stop. Figure 82 In the diagram, solid lines represent light with a wavelength of 0.580 micrometers, single-dotted lines represent light with a wavelength of 0.460 micrometers, and double-dotted lines represent light with a wavelength of 0.680 micrometers.

[0428] Figure 83 This is a diagram showing the astigmatism of light at a wavelength of 0.580 micrometers. Figure 83 The horizontal axis represents the position of the optical axis direction of the focal point. Figure 83 The vertical axis represents the image height. Figure 83 The solid line represents the case of the sagittal plane. Figure 83 The dashed line represents the case of the tangent plane.

[0429] Figure 84 This is a diagram showing the distortion of light at a wavelength of 0.580 micrometers. Figure 84 The horizontal axis represents distortion as a percentage. Figure 84 The vertical axis represents the image height.

[0430] Example 22

[0431] Figure 85This diagram illustrates the structure of the imaging optical system of Embodiment 22. The imaging optical system includes five lenses arranged from the object side to the image side. Lens 2201, 2202, and 2205 are aspherical lenses with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region. Lens 2203 is a biconvex lens. Lens 2204 is a negative meniscus lens convex towards the image side. An aperture stop 6 is located between lens 2202 and lens 2203.

[0432] Table 43 shows the configuration of the optical elements, lens properties, and focal length of the camera optical system of Embodiment 22. The overall focal length f of the camera optical system is f = 0.274, the aperture number Fno is Fno = 2.492, and the half field of view (HFOV) is HFOV = 50 (degrees). In Table 43, the five lenses are designated as lenses 1-5 from the object side.

[0433] In this embodiment, the distance from the object to the first lens is 5.242 (=5.142+0.100) mm. Surface 1 has no physical meaning.

[0434] Table 43

[0435]

[0436] Table 44 is a table showing the conic constants and aspherical coefficients of each facet of each lens in Example 22.

[0437] Table 44

[0438] noodle K A4 A6 A8 A10 A12 A14 2 90.0000 -9.94989E-01 5.89691E+01 1.01478E+02 4.25077E+02 -9.02010E+03 -4.33808E+05 3 90.0000 1.13049E+02 3.32982E+01 9.19805E+02 1.19988E+05 -3.81374E+06 -4.61293E+08 4 -74.0000 1.19971E+02 -2.43506E+03 -1.09873E+04 -1.74088E+05 4.62907E+06 6.01070E+08 5 41.0000 6.65036E+01 -4.91397E+03 -4.69611E+04 2.81649E+06 8.56024E+08 2.25028E+11 7 -20.0000 2.46110E+01 -4.07461E+03 -3.27892E+05 -9.95296E+06 1.51382E+09 3.12358E+10 8 -1.9876 4.17064E+01 -6.08499E+03 -7.03565E+04 -2.86170E+06 2.83848E+07 2.45611E+10 9 -1.7135 -2.52905E+01 2.20873E+03 9.42261E+04 6.89039E+06 1.71583E+08 -2.66182E+10 10 -0.9925 6.88180E+00 1.64012E+03 -9.60759E+02 -3.48523E+05 -1.10789E+07 1.23385E+08 11 90.0000 4.76782E+01 -7.13490E+02 -5.69256E+03 -4.52837E+04 1.59139E+06 -1.28067E+08 12 90.0000 6.69547E+01 -1.73837E+03 -1.58527E+02 3.28859E+05 3.75890E+06 -1.40394E+08

[0439] Figure 86 This is a diagram showing spherical aberration. Figure 86 The horizontal axis represents the position where the incident light rays parallel to the optical axis intersect the optical axis. Figure 86 The vertical axis represents the distance of the aforementioned ray from the optical axis, normalized according to the radius of the aperture stop. That is, 1 on the vertical axis represents the radius of the aperture stop. Figure 86 In the diagram, solid lines represent light with a wavelength of 0.580 micrometers, single-dotted lines represent light with a wavelength of 0.460 micrometers, and double-dotted lines represent light with a wavelength of 0.680 micrometers.

[0440] Figure 87 This is a diagram showing the astigmatism of light at a wavelength of 0.580 micrometers. Figure 87 The horizontal axis represents the position of the optical axis direction of the focal point. Figure 87 The vertical axis represents the image height. Figure 87 The solid line represents the case of the sagittal plane. Figure 87 The dashed line represents the case of the tangent plane.

[0441] Figure 88 This is a diagram showing the distortion of light at a wavelength of 0.580 micrometers. Figure 88 The horizontal axis represents distortion as a percentage. Figure 88 The vertical axis represents the image height.

[0442] Example 23

[0443] Figure 89 This diagram illustrates the structure of the imaging optical system of Embodiment 23. The imaging optical system includes five lenses arranged from the object side to the image side. Lens 2301, 2302, and 2305 are aspherical lenses with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region. Lens 2303 is a biconvex lens. Lens 2304 is a negative meniscus lens convex towards the image side. An aperture stop 6 is located between lens 2302 and lens 2303.

[0444] Table 45 shows the configuration of the optical elements, lens properties, and focal length of the camera optical system of Embodiment 23. The overall focal length f of the camera optical system is f = 0.278, the aperture number Fno is Fno = 2.458, and the half field of view (HFOV) is HFOV = 50 (degrees). In Table 45, the five lenses are designated as lenses 1-5 from the object side.

[0445] In this embodiment, the distance from the object to the first lens is 5.242 (=5.142+0.100) mm. Surface 1 has no physical meaning.

[0446] Table 45

[0447]

[0448] Table 46 is a table showing the conic constants and aspherical coefficients of each surface of each lens in Embodiment 23.

[0449] Table 46

[0450] noodle K A4 A6 A8 A10 A12 A14 2 90.0000 -9.70170E-01 3.86860E+01 9.74997E+01 3.59273E+02 -1.01841E+04 -4.70317E+05 3 90.0000 8.75567E+01 1.49643E+03 -3.60693E+03 -4.88479E+03 -5.70712E+06 -5.40166E+08 4 -74.0000 1.01305E+02 -9.60315E+02 -1.23580E+04 -1.75144E+05 6.42017E+06 7.12585E+08 5 41.0000 7.70464E+01 -6.49073E+03 -1.14975E+05 5.28758E+07 8.83493E+09 -4.04033E+11 7 -20.0000 2.81446E+01 -3.56635E+03 -3.02628E+05 -8.82061E+06 1.54402E+09 1.30138E+10 8 -1.9876 3.96451E+01 -6.03641E+03 -4.91808E+04 -1.21510E+06 6.44120E+07 1.52226E+10 9 -1.7135 -2.59508E+01 2.15044E+03 9.06093E+04 6.95423E+06 1.94503E+08 -2.66989E+10 10 -0.9925 7.40086E+00 1.64959E+03 2.62202E+01 -2.94239E+05 -8.73012E+06 2.24069E+08 11 90.0000 3.01210E+01 -3.00615E+02 -5.84241E+03 -4.67634E+04 1.93889E+06 -9.94612E+07 12 90.0000 4.45533E+01 -1.37479E+03 -1.53551E+02 3.31391E+05 3.77831E+06 -1.42171E+08

[0451] Figure 90 This is a diagram showing spherical aberration. Figure 90 The horizontal axis represents the position where the incident light rays parallel to the optical axis intersect the optical axis. Figure 90 The vertical axis represents the distance of the aforementioned ray from the optical axis, normalized according to the radius of the aperture stop. That is, 1 on the vertical axis represents the radius of the aperture stop. Figure 90 In the diagram, solid lines represent light with a wavelength of 0.580 micrometers, single-dotted lines represent light with a wavelength of 0.460 micrometers, and double-dotted lines represent light with a wavelength of 0.680 micrometers.

[0452] Figure 91 This is a diagram showing the astigmatism of light at a wavelength of 0.580 micrometers. Figure 91 The horizontal axis represents the position of the optical axis direction of the focal point. Figure 91 The vertical axis represents the image height. Figure 91 The solid line represents the case of the sagittal plane. Figure 91 The dashed line represents the case of the tangent plane.

[0453] Figure 92 This is a diagram showing the distortion of light at a wavelength of 0.580 micrometers. Figure 92 The horizontal axis represents distortion as a percentage. Figure 92 The vertical axis represents the image height.

[0454] Example 24

[0455] Figure 93 This diagram illustrates the structure of the imaging optical system of Embodiment 24. The imaging optical system includes five lenses arranged from the object side to the image side. Lens 2401, 2402, and 2405 are aspherical lenses with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region. Lens 2403 is a biconvex lens. Lens 2404 is a negative meniscus lens convex towards the image side. An aperture stop 6 is located between lens 2402 and lens 2403.

[0456] Table 47 shows the configuration of the optical elements, lens properties, and focal length of the camera optical system of Embodiment 24. The overall focal length f of the camera optical system is f = 0.277, the aperture number Fno is Fno = 2.458, and the half field of view (HFOV) is HFOV = 50 (degrees). In Table 47, the five lenses are designated as lenses 1-5 from the object side.

[0457] In this embodiment, the distance from the object to the first lens is 5.242 (=5.142+0.100) mm. Surface 1 has no physical meaning.

[0458] Table 47

[0459]

[0460]

[0461] Table 48 is a table showing the conic constants and aspherical coefficients of each facet of each lens in Embodiment 24.

[0462] Table 48

[0463] noodle K A4 A6 A8 A10 A12 A14 2 90.0000 -1.37641E+00 3.71943E+01 1.07128E+02 6.59359E+02 -6.66303E+03 -5.29998E+05 3 90.0000 8.86599E+01 1.39340E+03 -1.08550E+04 -1.34802E+05 -5.78030E+06 -4.66440E+08 4 -74.0000 9.91857E+01 -9.82524E+02 -1.11847E+04 -9.61220E+04 6.70346E+06 4.97436E+08 5 41.0000 8.54878E+01 -7.65320E+03 1.22655E+05 1.11775E+08 -3.64873E+08 1.25889E+11 7 -18.7258 3.24205E+01 -2.95426E+03 -2.65481E+05 -6.81859E+06 1.46341E+09 -1.10268E+10 8 -1.8705 3.52866E+01 -6.04501E+03 -2.40640E+04 5.81010E+05 7.35222E+07 1.93656E+09 9 -1.6388 -2.72723E+01 2.07233E+03 8.54095E+04 6.95416E+06 2.16757E+08 -2.58342E+10 10 -1.0178 7.86476E+00 1.64494E+03 1.17276E+03 -2.07317E+05 -4.09184E+06 4.70018E+08 11 90.0000 3.14198E+01 -3.16579E+02 -6.31997E+03 -4.91771E+04 2.48269E+06 -7.00164E+07 12 90.0000 4.31251E+01 -1.36551E+03 1.70746E+02 3.41192E+05 3.87243E+06 -1.45233E+08

[0464] Figure 94 This is a diagram showing spherical aberration. Figure 94 The horizontal axis represents the position where the incident light rays parallel to the optical axis intersect the optical axis. Figure 94 The vertical axis represents the distance of the aforementioned ray from the optical axis, normalized according to the radius of the aperture stop. That is, 1 on the vertical axis represents the radius of the aperture stop. Figure 90 In the diagram, solid lines represent light with a wavelength of 0.580 micrometers, single-dotted lines represent light with a wavelength of 0.460 micrometers, and double-dotted lines represent light with a wavelength of 0.680 micrometers.

[0465] Figure 95 This is a diagram showing the astigmatism of light at a wavelength of 0.580 micrometers. Figure 95 The horizontal axis represents the position of the optical axis direction of the focal point. Figure 95 The vertical axis represents the image height. Figure 95 The solid line represents the case of the sagittal plane. Figure 95 The dashed line represents the case of the tangent plane.

[0466] Figure 96 This is a diagram showing the distortion of light at a wavelength of 0.580 micrometers. Figure 96 The horizontal axis represents distortion as a percentage. Figure 96 The vertical axis represents the image height.

[0467] Example 25

[0468] Figure 97 This is a diagram illustrating the structure of the imaging optical system of Embodiment 25. The imaging optical system includes seven lenses arranged from the object side to the image side and an infrared cutoff filter. Lens 2502, 505, and 707 are aspherical lenses with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region. Lens 2501 is a negative meniscus lens convex towards the object side. Lens 2503 is a biconvex lens. Lens 2504 is a biconcave lens. Lens 2506 is a biconvex lens. An aperture stop 5 is located between lens 2502 and lens 2503.

[0469] Table 49 shows the configuration of the optical elements, lens properties, and focal length of the camera optical system of Embodiment 25. The overall focal length f of the camera optical system is f = 1.121, the aperture number Fno is Fno = 1.8, and the half field of view (HFOV) is HFOV = 70 (degrees). In Table 49, the seven lenses are designated as lenses 1-7 from the object side.

[0470] In this embodiment, the distance from the object to the first lens is infinitely large.

[0471] Table 49

[0472]

[0473] Table 50 is a table showing the conic constants and aspherical coefficients of each facet of each lens in Embodiment 25.

[0474] Table 50

[0475] noodle K A4 A6 A8 A10 A12 A14 1 -62.1851 1.1578E-02 -1.7482E-03 1.4338E-04 1.2043E-05 -2.9993E-06 1.9193E-07 2 -0.8595 2.7584E-02 -1.2104E-03 9.3217E-03 -7.8443E-03 -7.2914E-12 6.8248E-14 3 90.0000 -6.6194E-02 -3.3047E-02 2.4922E-02 -2.8086E-03 -3.6288E-10 3.8723E-11 4 90.0000 -5.0447E-02 5.2246E-02 -2.4305E-02 7.7680E-02 6.3161E-07 -1.2222E-07 6 0.6247 -5.7843E-02 -2.2039E-03 -1.5732E-03 -3.5953E-03 0.0000E+00 0.0000E+00 7 -1.0993 1.2624E-01 -1.3191E-01 9.1858E-02 -1.8369E-02 2.3023E-17 -1.9789E-17 8 1.3775 3.7533E-02 -9.7942E-02 1.8567E-02 7.2124E-02 -1.0038E-17 1.9153E-16 9 -87.1420 2.8680E-02 7.0359E-03 -4.5752E-03 5.4945E-04 -3.9845E-14 3.4170E-20 10 -90.0000 7.6187E-02 -4.4773E-03 -1.9230E-03 9.2948E-04 6.6470E-16 -1.7949E-17 11 90.0000 -2.6213E-01 6.2158E-02 1.0068E-02 1.8447E-03 -8.5952E-10 9.1092E-17 12 -5.1094 -6.8876E-02 -1.4034E-02 -2.5598E-02 8.0676E-03 -4.0758E-15 -1.8176E-18 13 25.1787 -2.7162E-01 1.4226E-01 -1.2974E-02 -5.6001E-03 5.1584E-15 8.8842E-18 14 90.0000 -3.4083E-01 1.6127E-01 9.8832E-03 -1.3727E-02 -7.9999E-15 -7.5851E-18 15 -90.0000 7.2680E-02 -4.5030E-02 1.4669E-02 -2.2568E-03 3.7270E-14 9.1726E-17

[0476] Figure 98 This is a diagram showing spherical aberration. Figure 98 The horizontal axis represents the position where the incident light rays parallel to the optical axis intersect the optical axis. Figure 98 The vertical axis represents the distance of the aforementioned ray from the optical axis, normalized according to the radius of the aperture stop. That is, 1 on the vertical axis represents the radius of the aperture stop. Figure 98 In the diagram, solid lines represent light with a wavelength of 587.5618 nanometers, single-dotted lines represent light with a wavelength of 486.1327 nanometers, and double-dotted lines represent light with a wavelength of 656.2725 nanometers.

[0477] Figure 99 This is a diagram showing the astigmatism of light at a wavelength of 587.5618 nanometers. Figure 99 The horizontal axis represents the position of the optical axis direction of the focal point. Figure 99 The vertical axis represents the angle of the light ray relative to the optical axis. Figure 99 The solid line represents the case of the sagittal plane. Figure 99 The dashed line represents the case of the tangent plane.

[0478] Figure 100 This is a graph showing the distortion of light at a wavelength of 587.5618 nanometers. Figure 100 The horizontal axis represents distortion as a percentage. Figure 100 The vertical axis represents the angle of the light ray relative to the optical axis.

[0479] Example 26

[0480] Figure 101 This diagram illustrates the structure of the imaging optical system of Embodiment 26. The imaging optical system includes five lenses arranged from the object side to the image side and an infrared cutoff filter. The first lens 2601 is an aspherical lens with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region. The second lens 2602 is a negative meniscus lens convex towards the image side. The third lens 2603 is a biconvex lens. The fourth lens 2604 is a positive meniscus lens convex towards the image side. The fifth lens 2606 is a negative meniscus lens convex towards the object side. An aperture stop 5 is located between the second lens 2602 and the third lens 2603.

[0481] Table 51 shows the configuration of the optical elements, lens properties, and focal length of the camera optical system of Embodiment 26. The overall focal length f of the camera optical system is f = 1.68, the aperture number Fno is Fno = 2, and the HFOV, representing the half field of view, is HFOV = 60 (degrees). In Table 51, the five lenses are designated as lenses 1-5 from the object side.

[0482] In this embodiment, the distance from the object to the first lens is infinitely large.

[0483] Table 51

[0484]

[0485]

[0486] Table 52 is a table showing the conic constants and aspherical coefficients of each facet of each lens in Embodiment 26.

[0487] Table 52

[0488] noodle K A4 A6 A8 A10 A12 A14 1 -90.0000 -6.9421E-05 5.4176E-06 -1.7155E-08 -6.3514E-10 2.5690E-11 8.6148E-13 2 -90.0000 1.6774E-02 -1.9926E-04 -2.3671E-05 -1.5105E-07 6.1920E-09 5.7725E-10 4 19.4646 3.7447E-02 -6.7602E-03 1.8804E-03 -2.1067E-04 -6.7450E-08 1.7032E-06 5 42.1039 3.6939E-02 -1.1820E-03 -2.4221E-03 5.5674E-04 2.5456E-08 2.6071E-11 6 90.0000 -3.3361E-01 -5.2116E-01 1.4333E+00 -8.9413E+00 0.0000E+00 0.0000E+00 7 -75.0131 -6.8534E-01 4.0029E-01 -3.3535E-01 -1.2449E+00 -1.0724E-09 -5.0522E-12 8 -90.0000 4.6505E-02 -7.4567E-01 1.1307E+00 -4.3636E-01 -2.2796E-10 8.2887E-11 9 -1.2609 1.7910E-01 -3.8024E-01 1.9266E-01 8.3726E-02 5.5889E-07 -5.7100E-11 10 -8.6118 -3.6102E-01 -1.3218E-01 5.5871E-01 -4.0511E-01 9.3666E-02 4.1621E-04 11 -3.2615 -3.4608E-01 2.6230E-01 -1.1036E-01 2.0355E-02 -1.2958E-03 1.8258E-08

[0489] Figure 102 This is a diagram showing spherical aberration. Figure 102 The horizontal axis represents the position where the incident light rays parallel to the optical axis intersect the optical axis. Figure 102 The vertical axis represents the distance of the aforementioned ray from the optical axis, normalized according to the radius of the aperture stop. That is, 1 on the vertical axis represents the radius of the aperture stop. Figure 102 In the diagram, solid lines represent light with a wavelength of 587.5618 nanometers, single-dotted lines represent light with a wavelength of 486.1327 nanometers, and double-dotted lines represent light with a wavelength of 656.2725 nanometers.

[0490] Figure 103 This is a diagram showing the astigmatism of light at a wavelength of 587.5618 nanometers. Figure 103 The horizontal axis represents the position of the optical axis direction of the focal point. Figure 103 The vertical axis represents the image height. Figure 103 The solid line represents the case of the sagittal plane. Figure 103 The dashed line represents the case of the tangent plane.

[0491] Figure 104 This is a graph showing the distortion of light at a wavelength of 587.5618 nanometers. Figure 104 The horizontal axis represents distortion as a percentage. Figure 104 The vertical axis represents the image height.

[0492] Example 27

[0493] Figure 105This diagram illustrates the structure of the imaging optical system of Embodiment 27. The imaging optical system includes five lenses arranged from the object side to the image side and an infrared cutoff filter. The third lens 2703 is an aspherical lens with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region. The first lens 2703 is a biconcave lens. The second lens 2703 is a biconvex lens. The fourth lens 2704 is a biconvex lens. The fifth lens 2705 is a negative meniscus lens convex towards the object side. An aperture stop 3 is located between the first lens 2701 and the second lens 2702.

[0494] Table 53 shows the configuration of the optical elements, lens properties, and focal length of the camera optical system of Embodiment 26. The overall focal length f of the camera optical system is f = 1.593, the aperture number Fno is Fno = 2, and the HFOV, representing the half field of view, is HFOV = 60 (degrees). In Table 53, the five lenses are designated as lenses 1-5 from the object side.

[0495] In this embodiment, the distance from the object to the first lens is infinitely large.

[0496] Table 53

[0497]

[0498] Table 54 is a table showing the conic constants and aspherical coefficients of each facet of each lens in Embodiment 27.

[0499] Table 54

[0500] noodle K A4 A6 A8 A10 A12 A14 1 -89.9935 1.2336E-02 -8.8661E-04 2.1372E-05 1.1545E-06 -1.2507E-07 2.7471E-09 2 0.4012 6.1198E-02 -1.1255E-02 8.5458E-03 -7.4403E-04 -1.0877E-04 -4.0362E-05 4 -8.0516 -5.8089E-02 -2.1122E-01 3.8412E-01 -5.8736E-01 0.0000E+00 0.0000E+00 5 -52.8548 -5.5347E-01 3.5211E-01 -1.0357E-01 -3.6064E-02 -1.5454E-06 -1.0158E-06 6 90.0000 -3.1642E-01 1.2904E-01 8.4157E-02 -4.8897E-02 -3.3547E-05 5.2301E-10 7 -90.0000 1.3398E-01 -1.4543E-01 -5.7001E-02 1.6389E-01 -6.3925E-02 -4.3793E-07 8 3.0096 2.4128E-01 -3.8457E-01 2.1809E-01 -1.9767E-02 -9.7866E-03 -1.8437E-07 9 -7.3806 -1.9949E-01 1.5049E-01 -5.8356E-02 -8.4727E-03 2.8194E-02 -5.8296E-03 10 -19.4505 -3.9405E-01 1.3640E-01 6.1328E-02 -2.8385E-02 -9.8266E-03 4.5107E-03 11 -4.4970 -2.6664E-01 1.9499E-01 -6.9343E-02 9.0644E-03 7.1903E-04 -2.7370E-04

[0501] Figure 106 This is a diagram showing spherical aberration. Figure 106 The horizontal axis represents the position where the incident light rays parallel to the optical axis intersect the optical axis. Figure 106 The vertical axis represents the distance of the aforementioned ray from the optical axis, normalized according to the radius of the aperture stop. That is, 1 on the vertical axis represents the radius of the aperture stop. Figure 106 In the diagram, solid lines represent light with a wavelength of 587.5618 nanometers, single-dotted lines represent light with a wavelength of 486.1327 nanometers, and double-dotted lines represent light with a wavelength of 656.2725 nanometers.

[0502] Figure 107 This is a diagram showing the astigmatism of light at a wavelength of 587.5618 nanometers. Figure 107 The horizontal axis represents the position of the optical axis direction of the focal point. Figure 107 The vertical axis represents the angle of the light ray relative to the optical axis. Figure 107 The solid line represents the case of the sagittal plane. Figure 107 The dashed line represents the case of the tangent plane.

[0503] Figure 108 This is a graph showing the distortion of light at a wavelength of 587.5618 nanometers. Figure 108 The horizontal axis represents distortion as a percentage. Figure 108 The vertical axis represents the angle of the light ray relative to the optical axis.

[0504] Example 28

[0505] Figure 109 This diagram illustrates the structure of the imaging optical system of Embodiment 28. The imaging optical system includes five lenses arranged from the object side to the image side and an infrared cutoff filter. Lens 2801 and 2805 are aspherical lenses with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region. Lens 2802 is a positive meniscus lens convex towards the image side. Lens 2803 is a biconvex lens. Lens 2804 is a negative meniscus lens convex towards the image side. An aperture stop 5 is located between lens 2802 and lens 2803.

[0506] Table 55 shows the configuration of the optical elements, lens properties, and focal length of the camera optical system of Embodiment 28. The overall focal length f of the camera optical system is f = 1.686, the aperture number Fno is Fno = 2.4, and the half field of view (HFOV) is HFOV = 60 (degrees). In Table 55, the five lenses are designated as lenses 1-5 from the object side.

[0507] In this embodiment, the distance from the object to the first lens is infinitely large.

[0508] Table 55

[0509]

[0510] Table 56 is a table showing the conic constants and aspherical coefficients of each facet of each lens in Embodiment 28.

[0511] Table 56

[0512]

[0513]

[0514] Figure 110 This is a diagram showing spherical aberration. Figure 110 The horizontal axis represents the position where the incident light rays parallel to the optical axis intersect the optical axis. Figure 110 The vertical axis represents the distance of the aforementioned ray from the optical axis, normalized according to the radius of the aperture stop. That is, 1 on the vertical axis represents the radius of the aperture stop. Figure 110In the diagram, solid lines represent light with a wavelength of 587.5618 nanometers, single-dotted lines represent light with a wavelength of 486.1327 nanometers, and double-dotted lines represent light with a wavelength of 656.2725 nanometers.

[0515] Figure 111 This is a diagram showing the astigmatism of light at a wavelength of 587.5618 nanometers. Figure 111 The horizontal axis represents the position of the optical axis direction of the focal point. Figure 111 The vertical axis represents the angle of the light ray relative to the optical axis. Figure 111 The solid line represents the case of the sagittal plane. Figure 111 The dashed line represents the case of the tangent plane.

[0516] Figure 112 This is a graph showing the distortion of light at a wavelength of 587.5618 nanometers. Figure 108 The horizontal axis represents distortion as a percentage. Figure 112 The vertical axis represents the angle of the light ray relative to the optical axis.

[0517] Example 29

[0518] Figure 113 This diagram illustrates the structure of the imaging optical system of Embodiment 29. The imaging optical system includes five lenses arranged from the object side to the image side and an infrared cutoff filter. Lens 2902, 4904, and 5905 are aspherical lenses with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region. Lens 2901 is a negative meniscus lens convex towards the object side. Lens 2903 is a biconvex lens. An aperture stop 5 is located between lens 2902 and lens 2903.

[0519] Table 57 shows the configuration of the optical elements, lens properties, and focal length of the camera optical system of Embodiment 29. The overall focal length f of the camera optical system is f = 1.344, the aperture number Fno is Fno = 2.4, and the half field of view (HFOV) is HFOV = 60 (degrees). In Table 57, the five lenses are designated as lenses 1-5 from the object side.

[0520] In this embodiment, the distance from the object to the first lens is infinitely large.

[0521] Table 57

[0522]

[0523]

[0524] Table 58 is a table showing the conic constants and aspherical coefficients of each facet of each lens in Embodiment 29.

[0525] Table 58

[0526] noodle K A4 A6 A8 A10 A12 A14 1 -89.9666 6.7538E-03 9.7790E-05 -8.7913E-04 1.0502E-04 -3.0490E-09 3.0302E-11 2 -0.6153 9.4207E-02 -6.3609E-04 -2.4053E-04 8.8881E-01 -1.5323E+00 5.7131E-01 4 -90.0000 4.2817E-02 1.0454E-01 2.7378E-04 -6.5257E-02 -2.7901E-06 -9.8651E-07 5 -90.0000 8.9904E-02 7.6270E-01 -2.2175E+00 4.2625E+00 -5.3689E-04 -2.0968E-06 6 -2.1499 3.4408E-02 4.5057E-01 -1.5011E+00 1.0568E+00 0.0000E+00 0.0000E+00 7 3.7950 -3.4425E-01 4.9600E-01 -5.7475E-01 8.4095E-01 -5.1927E-14 -6.6951E-15 8 -90.0000 -2.8460E-01 -5.6084E-01 3.1477E-01 -1.6753E+00 -5.8498E-14 -6.6879E-15 9 -90.0000 7.2489E-01 -8.3696E-01 -1.5535E-01 5.2613E-01 1.8775E-07 -6.9233E-15 10 -90.0000 4.6606E-01 -4.2736E-01 7.3160E-02 3.8986E-02 -6.8051E-05 -2.9397E-07 11 -90.0000 -1.2101E-01 1.7564E-02 1.1749E-01 -8.1409E-02 8.7988E-05 2.2678E-06

[0527] Figure 114 This is a diagram showing spherical aberration. Figure 114 The horizontal axis represents the position where the incident light rays parallel to the optical axis intersect the optical axis. Figure 114 The vertical axis represents the distance of the aforementioned ray from the optical axis, normalized according to the radius of the aperture stop. That is, 1 on the vertical axis represents the radius of the aperture stop. Figure 114 In the diagram, solid lines represent light with a wavelength of 587.5618 nanometers, single-dotted lines represent light with a wavelength of 486.1327 nanometers, and double-dotted lines represent light with a wavelength of 656.2725 nanometers.

[0528] Figure 115 This is a diagram showing the astigmatism of light at a wavelength of 587.5618 nanometers. Figure 115 The horizontal axis represents the position of the optical axis direction of the focal point. Figure 115 The vertical axis represents the image height. Figure 115 The solid line represents the case of the sagittal plane. Figure 115 The dashed line represents the case of the tangent plane.

[0529] Figure 116 This is a graph showing the distortion of light at a wavelength of 587.5618 nanometers. Figure 116 The horizontal axis represents distortion as a percentage. Figure 116 The vertical axis represents the image height.

[0530] Example 30

[0531] Figure 117 This diagram illustrates the structure of the imaging optical system of Embodiment 30. The imaging optical system includes six lenses arranged from the object side to the image side and an infrared cutoff filter. Lenses 3002, 3004, 3005, and 3006 are aspherical lenses with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region. Lens 3001 is a negative meniscus lens convex towards the object side. Lens 3003 is a biconvex lens. Aperture stop 5 is located on the object side of lens 3003.

[0532] Table 59 shows the configuration of the optical elements, lens properties, and focal length of the camera optical system of Embodiment 30. The overall focal length f of the camera optical system is f = 1.358, the aperture number Fno is Fno = 2.2, and the half field of view (HFOV) is HFOV = 65 (degrees). In Table 59, the six lenses are designated as lenses 1-6 from the object side.

[0533] In this embodiment, the distance from the object to the first lens is infinitely large.

[0534] Table 59

[0535]

[0536] Table 60 is a table showing the conic constants and aspherical coefficients of each surface of each lens in Embodiment 30.

[0537] Table 60

[0538] noodle K A4 A6 A8 A10 A12 A14 1 -0.0958 -3.4890E-04 -1.6363E-03 1.7937E-04 -2.0508E-06 -4.0446E-07 1.2155E-08 2 -0.6764 2.6051E-02 -3.2352E-02 2.1232E-02 -3.2363E-02 4.6616E-06 1.0008E-11 3 -90.0000 -9.6975E-02 -2.1960E-02 -1.0789E-01 5.7627E-02 -4.7470E-05 5.1462E-11 4 -90.0000 1.9281E-01 -2.3082E-01 1.2813E-01 3.1655E-02 1.4254E-05 3.3458E-06 6 10.6218 2.3569E-01 -2.9968E-01 1.4995E-01 -9.6436E-03 0.0000E+00 0.0000E+00 7 -2.5077 -1.2524E-02 -4.3304E-02 1.5998E-02 2.4884E-03 -4.6294E-09 -4.5032E-10 8 -90.0000 6.4612E-02 -1.0432E-01 -5.2552E-02 -1.0445E-01 3.9242E-09 -2.0697E-10 9 -90.0000 -8.0701E-01 6.7962E-01 -3.1213E-01 3.5730E-02 1.2097E-08 -1.3875E-10 10 -90.0000 -7.6802E-01 3.4605E-01 2.7186E-01 -1.8112E-01 -4.3329E-09 1.3121E-11 11 -90.0000 1.8963E-01 -1.5778E-01 8.1097E-02 -1.8312E-02 2.3829E-06 -5.3906E-11 12 -90.0000 1.9706E-01 -1.4015E-01 5.2914E-02 -1.1537E-02 -4.7100E-07 3.9993E-07 13 -90.0000 -6.9507E-02 7.2518E-02 -2.7911E-02 1.2120E-03 1.8366E-06 5.2889E-11

[0539] Figure 118 This is a diagram showing spherical aberration. Figure 118 The horizontal axis represents the position where the incident light rays parallel to the optical axis intersect the optical axis. Figure 118 The vertical axis represents the distance of the aforementioned ray from the optical axis, normalized according to the radius of the aperture stop. That is, 1 on the vertical axis represents the radius of the aperture stop. Figure 118 In the diagram, solid lines represent light with a wavelength of 587.5618 nanometers, single-dotted lines represent light with a wavelength of 486.1327 nanometers, and double-dotted lines represent light with a wavelength of 656.2725 nanometers.

[0540] Figure 119 This is a diagram showing the astigmatism of light at a wavelength of 587.5618 nanometers. Figure 119 The horizontal axis represents the position of the optical axis direction of the focal point. Figure 119 The vertical axis represents the image height. Figure 119 The solid line represents the case of the sagittal plane. Figure 119 The dashed line represents the case of the tangent plane.

[0541] Figure 120 This is a graph showing the distortion of light at a wavelength of 587.5618 nanometers. Figure 120 The horizontal axis represents distortion as a percentage. Figure 120 The vertical axis represents the image height.

[0542] Features of embodiments of the present invention

[0543] Tables 61-66 are tables illustrating the features of the embodiments. In the tables, n, NAT, f, and HFOV represent the total number of lenses, the number of aspherical lenses with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region, the focal length of the overall optical system, and the angle of half the field of view (half field of view), respectively. In the NAT column of the table, for example, "2(L1, L4)" indicates that there are 2 aspherical lenses with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region, namely the first lens and the fourth lens. Assuming i is an integer from 1 to n, "fi" represents the focal length of the i-th lens (the i-th lens) from the object side of the imaging optical system. "Distortion image height 90%" indicates the distortion at the position where the image height is 90% of the maximum value. "Item" indicates an item.

[0544] The value of .

[0545] Table 61

[0546]

[0547] Table 62

[0548]

[0549] Table 63

[0550]

[0551] Table 64

[0552]

[0553] Table 65

[0554]

[0555] Table 66

[0556]

[0557]

[0558] Here, the refractive power of an aspherical lens with infinitely large radii of curvature on both sides in the paraxial region and refractive power in the peripheral region is explained. In equation (1) representing each lens surface, R = ∞, so if equation (1) is expressed in terms up to the fourth power of r, it is as follows.

[0559] z = A4r 4 (1)′

[0560] If the coordinates of the point where the light passes through the lens surface are set as (z, r), and h represents the distance of the point z = r from the optical axis, then the point z = r becomes h = r. According to equation (1)', the following equation holds.

[0561] h = A4h 4

[0562]

[0563] Here, if we approximate the shape of the surface from the optical axis to the point z = r with a sphere, then its radius is z = r. Therefore, the refractive power can be calculated for both surfaces based on the radius (radius of curvature) of the approximate sphere described above.

[0564] Typically, the refractive power φ of a lens can be calculated using the following formula.

[0565]

[0566] If we substitute equation (2) into equation (3), the refractive power φ of an aspherical lens with infinitely large radii of curvature on both sides in the paraxial region and refractive power in the peripheral region can be expressed by the following equation.

[0567]

[0568] The symbols in equations (3) and (4) above are as follows.

[0569] N: Refractive index of the lens

[0570] D: Distance between the object's side surface and the image's side surface on the optical axis

[0571] r a The radius of curvature of the object's side surface of the lens.

[0572] r b The radius of curvature of the image-side surface of the lens.

[0573] A 4a The aspherical coefficient of the fourth power of equation (1) on the object side of the lens.

[0574] A 4b The aspherical coefficient of the fourth power of equation (1) on the image side of the lens.

[0575] That is, for each surface, let z represent the coordinate of the optical axis direction with the intersection point with the optical axis as the reference, and r represent the distance from the optical axis. The shape of the surface is obtained according to the formula up to the fourth term of r in equation (1). Based on the shape of the surface, z = r is obtained. When the shape of the surface is approximated by a sphere containing z = 0 and z = r, the refractive power φ of the peripheral part of an aspherical lens with infinite radii of curvature in the paraxial region can be obtained from the radii (z) (radii of curvature) of the two surfaces. The above-mentioned refractive power φ is called the refractive power of the third aberration region of the peripheral part of an aspherical lens with infinite radii of curvature in the paraxial region and refractive power in the peripheral part.

[0576] Table 67 shows the normalized (φ·f) value of the peripheral refractive power φ of the aspherical lens in each embodiment, which is expressed by Equation (4), by dividing the value by the reciprocal (1 / f) of the focal length of the entire optical system. For example, in the row of Table 67 representing Embodiment 1, L1 and L4 represent the first and fourth lenses, which are aspherical lenses with infinitely large radii of curvature on both sides in the paraxial region and refractive power in the peripheral region.

[0577] Table 67

[0578]

[0579]

[0580] The absolute value of (φ·f)|φ·f| needs to be at least greater than 0.0007. In this case, the coefficients of the terms of r to the power of 6 or higher in equation (1) also need to be used to control aberrations. However, if the absolute value of |φ·f| is greater than 0.007, the coefficients of the terms of r to the power of 4 can be used primarily to control aberrations.

[0581] According to Tables 61-66, all embodiments of the present invention have the following features.

[0582] A camera optical system may have 3 to 7 lenses. An aperture stop is present within the camera optical system. The camera optical system may contain 1 to 4 aspherical lenses with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region. The first lens is either a negative lens or an aspherical lens with infinite radii of curvature on both sides in the paraxial region and negative refractive power in the peripheral region. The image-side lens adjacent to the aperture stop is a positive lens. Alternatively, a camera optical system may contain 2 or more aspherical lenses that are not infinitely radii of curvature on both sides in the paraxial region and refractive power in the peripheral region. The half-field of view of the camera optical system is greater than 40 degrees and less than 80 degrees. The camera optical system satisfies the following relationship.

[0583]

[0584] In addition, according to Figure 1 The light path diagrams are as follows: the beam incident on the camera optical system that reaches the maximum image height (hereinafter also called the off-axis beam) and the beam incident on the camera optical system whose principal line is parallel to the optical axis (hereinafter also called the on-axis beam) do not intersect within the first lens.

[0585] Examples 1-7, 21-25 and 28-30 also have the following features.

[0586] The camera optical system has 4 to 7 lenses. An aperture stop exists between the 2nd and 4th lenses. The camera optical system includes at least one aspherical lens with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region, located both on the object side and on the image side of the aperture stop. Furthermore, when the aperture stop is located on the image side of a lens, the lens is located on the object side of the lens; conversely, when the aperture stop is located on the object side of the lens, the lens is located on the image side of the lens. The 1st and / or 2nd lenses are aspherical lenses with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region. The lens closest to the image side is an aspherical lens with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region. The camera optical system satisfies the following relationship.

[0587]

[0588] Off-axis and on-axis beams do not intersect within the lens closest to the image.

[0589] Here, the aberration coefficients of the lens surface are usually explained. The values ​​of the aberration coefficients of an optical system are given as the algebraic sum of the aberration coefficients of the individual surfaces constituting the optical system. In the case of an aspherical lens where the radii of curvature of both surfaces are infinitely large in the paraxial region and have refractive power in the peripheral region, the curvature at the center of the lens surface is zero. Therefore, the aberration coefficients of spherical aberration, image plane curvature, and distortion of the lens surface can be expressed by the following approximation, in which only the aspherical coefficient becomes a variable (Matsui Yoshiya, Lens Design Method, Kyoritsu Publishing, p. 87, etc.).

[0590] Spherical aberration

[0591] A·h4·h 4

[0592] Image plane bending

[0593]

[0594] distortion

[0595]

[0596] Here, A represents a number determined solely by the refractive index and constants, A4 shows the aspherical coefficient of the fourth-order term of r in equation (1) representing the lens surface, and h represents the height of the surface through which the axial ray passes. This indicates the height of the surface through which an off-axis ray passes.

[0597] Thus, the aberration is represented by the aspherical coefficient A4 of the fourth term of r in equation (1) representing the lens surface, which means that the aberration can be corrected by the refractive power φ of the peripheral part of an aspherical lens whose radii of curvature of the two surfaces are infinitely large in the paraxial region and have refractive power in the peripheral part, as represented by equation (4).

[0598] The sign of h is positive. The sign of the image height is negative when the plane is positioned closer to the object than the aperture stop, and positive when the plane is positioned closer to the image than the aperture stop. In this case, the sign of the image height is positive.

[0599] Therefore, considering the value of h and While setting the value, an aspherical lens with infinitely large radii of curvature in the paraxial region and refractive power in the peripheral region is placed in an appropriate position in the imaging optical system, and the A4 of the lens surface is appropriately determined. This allows the aberrations of the optical system to be reduced without using multiple lenses with large refractive power in the paraxial region.

[0600] The design principles of the imaging optical system of the present invention are as follows. First, a lens with high refractive power in the paraxial region is positioned at a location where h is relatively large, and paraxial-related values ​​such as focal length are determined, thereby correcting spherical aberrations using aspherical surfaces. Second, at a location where h is relatively small and... Aspherical lenses with infinitely large radii of curvature in the paraxial region and refractive power in the peripheral region are used to correct image plane curvature and distortion.

[0601] When an aspherical lens with infinitely large radii of curvature on both sides in the paraxial region and refractive power in the peripheral region is located on the image side closer than the aperture stop, h and Since they have the same sign, they can correct both image plane curvature and distortion simultaneously. However, when an aspherical lens with infinitely large radii of curvature on both surfaces in the paraxial region and refractive power in the peripheral region is located closer to the object than the aperture stop, h and Because the symbols are different, it is impossible to correct both image plane curvature and distortion at the same time.

[0602] In practice, in Examples 1-7, 21-25, and 28-30, the off-axis beams and on-axis beams do not intersect in the first lens closest to the object and the lens closest to the image. The first and / or second lenses, as well as the lens closest to the image, are aspherical lenses with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region. Positioning these aspherical lenses, with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region, closer to the object than the aperture stop, is to suppress the lens diameter and overall length of the imaging optical system with particularly large field of view. In this case, off-axis aberrations generated by the lens closer to the object than the aperture stop can be efficiently corrected by the aspherical lenses positioned closer to the image than the aperture stop.

[0603] In other embodiments, an aspherical lens with infinitely large radii of curvature on both sides and refractive power in the periphery is disposed at fewer locations where the off-axis beam does not intersect or overlap with the on-axis beam.

[0604] Generally, if the camera optical system is not used for measurement equipment, etc., it is advantageous to correct distortions that do not directly affect resolution by retaining a negative value instead of correcting them to zero. This is beneficial for correcting other resolution-related aberrations. Furthermore, even with a large aperture efficiency, the illuminance ratio at the periphery of the image plane decreases by a cosine fourth order method, especially if the field of view increases, the illuminance ratio decreases significantly. However, if negative distortion exists, this decrease in illuminance ratio is mitigated. Additionally, image processing techniques for correcting distortion in the camera optical system can be used. In the above embodiment, the distortion is in the range of -10% to -40% at 90% of the maximum image height.

[0605] According to the present invention, by appropriately utilizing an aspherical lens whose radii of curvature are infinitely large in the paraxial region and have refractive power in the peripheral region, it is possible to efficiently correct on-axis and off-axis aberrations respectively. Furthermore, the present invention is particularly advantageous for use in camera optical systems with a large field of view.

Claims

1. A camera optical system, wherein, The lens system has four elements. Let i be a natural number, and the i-th lens from the object side is designated as the i-th lens. An aperture stop exists between the second and third lenses. The first and fourth lenses are aspherical lenses with infinite radii of curvature in the paraxial region and refractive power in the peripheral region with cubic aberrations. The third lens is a positive lens. i Let f represent the focal length of the i-th lens, f represent the overall focal length, and n represent the number of lenses, then the following condition is met: ， The incident light beam reaching maximum image height and the incident light beam with its principal ray parallel to the optical axis do not intersect within the first and fourth lenses. Let HFOV be the angle between the principal ray of the incident light beam reaching maximum image height and the optical axis. This satisfies... 。 2. A camera optical system, wherein, The lens has 5 elements. Let i be a natural number. The i-th lens from the object side is designated as the i-th lens. The aperture stop exists between the 3rd and 4th lenses. The 1st and 5th lenses are aspherical lenses with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region with cubic aberrations. The 4th lens is a positive lens. Alternatively, the aperture stop exists between the 3rd and 4th lenses. The 2nd and 5th lenses are aspherical lenses with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region with cubic aberrations. The 1st lens is a negative lens, and the 4th lens is a positive lens. Alternatively, the aperture stop exists between the 2nd and 3rd lenses. The 1st and 5th lenses are aspherical lenses with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region with cubic aberrations. The 3rd lens is a positive lens. When f is used... i Let f represent the focal length of the i-th lens, f represent the overall focal length, and n represent the number of lenses, then the following condition is met: ， The incident light beam reaching maximum image height and the incident light beam with its principal ray parallel to the optical axis do not intersect within the first and fifth lenses. Let HFOV be the angle between the principal ray of the incident light beam reaching maximum image height and the optical axis. This satisfies... 。 3. A camera optical system, wherein, The lens has 5 elements. Let i be a natural number, and the i-th lens from the object side is designated as the i-th lens. The aperture stop exists between the 2nd and 3rd lenses. Lenses 1, 2, and 5 are aspherical lenses with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region with cubic aberrations. Lens 3 is a positive lens. Alternatively, the aperture stop exists between the 2nd and 3rd lenses. Lenses 2, 4, and 5 are aspherical lenses with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region with cubic aberrations. Lens 1 is a negative lens, and lens 3 is a positive lens. When f is used... i Let f represent the focal length of the i-th lens, f represent the overall focal length, and n represent the number of lenses, then the following condition is met: ， The incident light beam reaching maximum image height and the incident light beam with its principal ray parallel to the optical axis do not intersect within the first and fifth lenses. Let HFOV be the angle between the principal ray of the incident light beam reaching maximum image height and the optical axis. This satisfies... 。 4. A camera optical system, wherein, The lens system has 6 elements. Let i be a natural number, and the i-th lens from the object side be designated as the i-th lens. An aperture stop exists between the 3rd and 4th lenses. Lenses 1 and 6 are aspherical lenses with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region with cubic aberrations. Lens 4 is a positive lens. Alternatively, an aperture stop exists between lenses 3 and 4. Lenses 2 and 6 are aspherical lenses with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region with cubic aberrations. Lens 1 is a negative lens, and lens 4 is a positive lens. Alternatively, an aperture stop exists between lenses 2 and 3. Lenses 2 and 6 are aspherical lenses with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region with cubic aberrations. Lens 1 is a negative lens, and lens 3 is a positive lens. When f... i Let f represent the focal length of the i-th lens, f represent the overall focal length, and n represent the number of lenses, then the following condition is met: ， The incident light beam reaching maximum image height and the incident light beam with its principal ray parallel to the optical axis do not intersect within the first and sixth lenses. Let HFOV be the angle between the principal ray of the incident light beam reaching maximum image height and the optical axis. This satisfies... 。 5. A camera optical system, wherein, The lens system has 6 elements. Let i be a natural number, and the i-th lens from the object side is designated as the i-th lens. An aperture stop exists between the 2nd and 3rd lenses. The 2nd, 4th, 5th, and 6th lenses are aspherical lenses with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region with cubic aberrations. The 1st lens is a negative lens, and the 3rd lens is a positive lens. When f... i Let f represent the focal length of the i-th lens, f represent the overall focal length, and n represent the number of lenses, then the following condition is met: ， The incident light beam reaching maximum image height and the incident light beam with its principal ray parallel to the optical axis do not intersect within the first and sixth lenses. Let HFOV be the angle between the principal ray of the incident light beam reaching maximum image height and the optical axis. This satisfies... 。 6. A camera optical system, wherein, The lens system has 7 elements. Let i be a natural number, and the i-th lens from the object side is designated as the i-th lens. An aperture stop exists between the 2nd and 3rd lenses. The 2nd, 5th, and 7th lenses are aspherical lenses with infinite radii of curvature on both sides in the paraxial region and refractive power in the peripheral region with cubic aberrations. The 1st lens is a negative lens, and the 3rd lens is a positive lens. When f... i Let f represent the focal length of the i-th lens, f represent the overall focal length, and n represent the number of lenses, then the following condition is met: ， The incident light beam reaching maximum image height and the incident light beam with its principal ray parallel to the optical axis do not intersect within the first and seventh lenses. Let HFOV be the angle between the principal ray of the incident light beam reaching maximum image height and the optical axis. This satisfies... 。 7. A camera optical system, wherein, Let i be a natural number, and the i-th lens from the object side be designated as the i-th lens. There are 3 lenses. The aperture stop exists between the 2nd and 3rd lenses. The 3rd lens is a positive lens. Either the 1st or 2nd lens is an aspherical lens with infinite radii of curvature on both sides in the paraxial region and refractive power in a cubic aberration region in the peripheral area. Alternatively, there are 4 lenses, with the aperture stop existing between the 2nd and 3rd lenses. The 3rd lens is a positive lens, and any one of the 1st, 2nd, and 4th lenses is an aspherical lens with infinite radii of curvature on both sides in the paraxial region and refractive power in a cubic aberration region in the peripheral area. A lens, or a lens consisting of 5 elements, with an aperture stop between the first and second lenses. The first lens is a negative lens, the second lens is a positive lens, and any one of the third, fourth, and fifth lenses is an aspherical lens with infinite radii of curvature on both sides in the paraxial region and refractive power in a cubic aberration region in the peripheral area. Alternatively, a lens consisting of 5 elements, with an aperture stop between the second and third lenses, the third lens is a positive lens, and any one of the first, second, and fifth lenses is an aspherical lens with infinite radii of curvature on both sides in the paraxial region and refractive power in a cubic aberration region in the peripheral area. When f... i Let f represent the focal length of the i-th lens, f represent the overall focal length, and n represent the number of lenses, then the following condition is met: ， The incident light beam reaching maximum image height and the incident light beam with its principal ray parallel to the optical axis do not intersect within the first lens. Let HFOV be the angle between the principal ray of the incident light beam reaching maximum image height and the optical axis. 。 8. The camera optical system according to claim 7, wherein, The first lens is an aspherical lens with infinitely large radii of curvature on both sides in the paraxial region and refractive power in the periphery with a third aberration region.

9. The camera optical system according to claim 7, wherein, The lens closest to the image side is an aspherical lens with infinite radii of curvature on both sides in the paraxial region and refractive power in the periphery with a third aberration region. The light beam incident on the optical system and reaching the maximum image height and the light beam incident on the optical system with the principal ray parallel to the optical axis do not intersect in the lens closest to the image side.

10. The camera optical system according to claim 7, wherein, The lens has 3 elements.

11. A camera optical system, wherein, The lens consists of 5 elements. Let i be a natural number, and the i-th lens from the object side be designated as the i-th lens. An aperture stop exists between the 2nd and 3rd lenses. Lenses 1, 2, and 5 are aspherical lenses with infinite radii of curvature on both sides in the paraxial region and refractive power in the periphery with cubic aberration regions. The image-side lens adjacent to the aperture stop is a positive lens. When f... i Let f represent the focal length of the i-th lens, f represent the overall focal length, and n represent the number of lenses, then the following condition is met: ， The incident light beam reaching maximum image height and the incident light beam with its principal ray parallel to the optical axis do not intersect within the first and fifth lenses. Let HFOV be the angle between the principal ray of the incident light beam reaching maximum image height and the optical axis. This satisfies... 。

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