Photographing optical system

Abstract

Provided is an imaging optical system in which the number of lenses is three to four, an aperture stop is positioned closer to the image side than the lens closest to the object side and closer to the object side than the lens closest to the image side, and one aspherical lens is provided at a position not adjacent to the aperture stop. The curvature radii of both surfaces of the aspheric lens are infinitely large in a paraxial region and have refractive power in a third-order aberration region in a peripheral portion, and the lens closest to the object side is a negative lens or the lens closest to the object side is an aspheric lens in which the curvature radii of both surfaces are infinitely large in a paraxial region and have refractive power in a negative third-order aberration region in a peripheral portion. At least one lens among the lenses closer to the image side than the aperture stop is a positive lens, and if the focal length of each lens is represented by fi, the focal length of the whole lens is represented by f, and the number of lenses is represented by n, formula (A) is satisfied. A light beam entering the optical system and reaching the maximum image height and a light beam in which the principal ray entering the optical system is parallel to the optical axis do not intersect in the first lens, and the angle formed by the principal ray of the light beam entering the optical system and reaching the maximum image height and the optical axis is set to be HFOV, formula (B) is satisfied: # imgabs0 # 40 DEG < HFOV < 80 DEG (B).

Description

Technical Field

[0001] The present invention relates to a photographing optical system, and in particular to a wide-angle photographing optical system. Background Art

[0002] In a wide-angle photographing optical system using a spherical lens, a lens with a large optical power is used in the paraxial region to reduce aberrations. In a wide-angle photographing optical system using an aspherical lens, a lens with a large optical power is also often used in the paraxial region.

[0003] If a lens with large refractive power is used in the paraxial region, high assembly accuracy is required, so the manufacture of the wide-angle imaging optical system is relatively difficult. In addition, the structure becomes complicated, so the size and weight of the wide-angle imaging optical system increase.

[0004] There have also been developed photographic optical systems including aspherical lenses whose curvature radii of both surfaces are infinite in the paraxial region (Patent Documents 1 to 4), but a compact wide-angle photographic optical system with sufficiently small aberrations has not been realized.

[0005] Prior art literature

[0006] Patent Literature

[0007] Patent Document 1: JP2020-201382A

[0008] Patent Document 2: JP2021-001938A

[0009] Patent Document 3: JP2021-018291A

[0010] Patent Document 4: JP2021-021900A Summary of the invention

[0011] Problems to be solved by the invention

[0012] Therefore, there is a need for an aspheric lens having two surfaces with infinite curvature radii in the paraxial region, and a wide-angle photographing optical system with sufficiently small aberrations and compactness. The subject of the present invention is to provide an aspheric lens having two surfaces with infinite curvature radii in the paraxial region, and a wide-angle photographing optical system with sufficiently small aberrations and compactness. Here, the two surfaces refer to the object side surface and the image side surface of the lens.

[0013] Means for solving problems

[0014] In a first aspect of the present invention, the photographing optical system comprises three to four lenses, an aperture stop is located on the image side of a lens closest to the object side and on the object side of the lens closest to the image side, an aspherical lens is provided at a position not adjacent to the aperture stop, the curvature radius of both surfaces of the aspherical lens is infinite in a paraxial region and has a focal power of a third-order aberration region in a peripheral portion, the lens closest to the object side is a negative lens or an aspherical lens with a curvature radius of both surfaces being infinite in a paraxial region and having a focal power of a third-order aberration region in a negative peripheral portion, at least one of the lenses on the image side of the aperture stop is a positive lens, and if the focal length of each lens is expressed by f i Indicated by f, the overall focal length and n the number of lenses, then:

[0015]

[0016] The light beam incident to the optical system and reaching the maximum image height and the light beam whose principal ray incident to the optical system is parallel to the optical axis do not intersect in the first lens. The angle between the principal ray of the light beam incident to the optical system and reaching the maximum image height and the optical axis is set as HFOV, then:

[0017] 10°<HFOV<80°.

[0018] According to the first embodiment of the present invention, the following wide-angle shooting optical system can be realized: there is an aspherical lens at a position not adjacent to the aperture stop, the curvature radius of both surfaces of the aspherical lens is infinite in the paraxial region and has optical focal length in the third-order aberration region in the peripheral portion, and the aberration is sufficiently small and compact.

[0019] In a first embodiment of the first aspect of the present invention, the lens adjacent to the aperture stop on the image side is a positive lens.

[0020] In a color image capturing optical system, if the lens adjacent to the aperture stop on the image side is set as a negative lens, the thickness of the lens becomes extremely thin or the focal length becomes extremely long. Therefore, the magnification chromatic aberration deteriorates and color bleeding occurs in the image. In the case of a monochrome image capturing optical system, the lens adjacent to the aperture stop on the image side may also be a negative lens.

[0021] In a second aspect of the present invention, the number of lenses is three to seven, an aperture stop is present in the optical system, one to four aspherical lenses are provided, the curvature radius of both surfaces of the aspherical lens is infinite in the paraxial region and has a focal power of a third-order aberration region in the peripheral portion, i is set as a natural number and the i-th lens from the object side is set as the i-th lens, the first lens is a negative lens or an aspherical lens with a curvature radius of both surfaces being infinite in the paraxial region and having a focal power of a negative third-order aberration region in the peripheral portion, the lens on the image side adjacent to the aperture stop is a positive lens, and the focal length of the i-th lens is denoted by f i Indicates that, when the overall focal length is represented by f and the number of lenses is represented by n, it satisfies:

[0022]

[0023] The light beam incident to the optical system and reaching the maximum image height and the light beam whose principal ray incident to the optical system is parallel to the optical axis do not intersect in the first lens. The angle between the principal ray of the light beam incident to the optical system and reaching the maximum image height and the optical axis is set as HFOV, then:

[0024] 40°<HFOV<80°.

[0025] According to the present invention, a wide-angle photographing optical system can be realized, which has an aspherical lens whose curvature radius of both surfaces is infinite in the paraxial region and has a power in the third-order aberration region in the peripheral portion, and whose aberration is sufficiently small and compact.

[0026] In the photographing optical system of the first embodiment of the second mode of the present invention, the number of lenses is four to seven, the aperture stop is present between the second lens and the fourth lens, and at least one aspherical lens is provided on the object side and the image side of the aperture stop, respectively, the curvature radius of both surfaces of the aspherical lens is infinite in the paraxial region and has a focal power of the third-order aberration region in the peripheral portion, the first lens and / or the second lens and the lens closest to the image side are aspherical lenses with the curvature radius of both surfaces being infinite in the paraxial region and having a focal power of the third-order aberration region in the peripheral portion, and satisfying:

[0027]

[0028] The light beam incident on the optical system and reaching the maximum image height and the light beam incident on the optical system whose principal ray is parallel to the optical axis do not intersect in the lens closest to the image side.

[0029] The shooting optical system of this embodiment is configured such that the light beam incident on the optical system and reaching the maximum image height and the light beam incident on the optical system and parallel to the optical axis do not intersect in the first lens and the lens closest to the image side. In this state, a lens with a large focal length in the paraxial region is not used, and aspherical lenses are used as the first lens and / or the second lens and the lens closest to the image side. The radius of curvature of both surfaces of the aspherical lens is infinite in the paraxial region and has the focal length of the third-order aberration region in the peripheral portion, thereby realizing a wide-angle shooting optical system with sufficiently small aberrations and compactness. In addition, by respectively configuring at least one aspherical lens at a position closer to the object side and the image side than the aperture diaphragm, the radius of curvature of both surfaces of the aspherical lens is infinite in the paraxial region and has the focal length of the third-order aberration region in the peripheral portion, thereby, off-axis aberrations can be particularly effectively reduced.

[0030] The shooting optical system of the second embodiment of the second mode of the present invention has the characteristics of the shooting optical system of the first embodiment, the number of lenses is four, the aperture stop is present between the second lens and the third lens, the first lens and the fourth lens are aspherical lenses whose curvature radii on both surfaces are infinite in the paraxial region and have optical focal lengths of third-order aberration regions in the peripheral portion.

[0031] This embodiment is a photographing optical system having four lenses, two aspherical lenses whose curvature radii of both surfaces are infinite in the paraxial region and have optical power having a third-order aberration region in the peripheral portion.

[0032] The imaging optical system of the third embodiment of the second aspect of the present invention has the characteristics of the imaging optical system of the first embodiment, the number of lenses is five, the aperture stop is present between the second lens and the fourth lens, the first lens or the second lens and the fifth lens are aspherical lenses whose curvature radius of both surfaces is infinite in the paraxial region and have a focal power of a third-order aberration region in the peripheral portion, and satisfy:

[0033]

[0034] This embodiment is a photographing optical system having five lenses and two aspherical lenses whose curvature radii of both surfaces are infinite in the paraxial region and have optical power having a third-order aberration region in the peripheral portion.

[0035] The photographing optical system of the fourth embodiment of the second aspect of the present invention has the characteristics of the photographing optical system of the first embodiment, the number of lenses is five, the aperture stop is present between the second lens and the third lens, the first lens, the second lens and the fifth lens, or the second lens, the fourth lens and the fifth lens are aspherical lenses whose curvature radii of both surfaces are infinite in the paraxial region and have a third-order aberration region in the peripheral portion, and satisfy:

[0036]

[0037] This embodiment is a photographing optical system having five lenses, and three aspherical lenses having infinite curvature radii on both surfaces in the paraxial region and having optical power having a third-order aberration region in the peripheral portion.

[0038] The imaging optical system of the fifth embodiment of the second aspect of the present invention has the characteristics of the imaging optical system of the first embodiment, the number of lenses is six, the aperture stop is present between the second lens and the fourth lens, the first lens or the second lens and the sixth lens are aspherical lenses whose curvature radius of both surfaces is infinite in the paraxial region and have a focal power of a third-order aberration region in the peripheral portion, and satisfy:

[0039]

[0040] This embodiment is a photographing optical system having six lenses, two aspherical lenses whose curvature radii of both surfaces are infinite in the paraxial region and have optical power having a third-order aberration region in the peripheral portion.

[0041] The shooting optical system of the sixth embodiment of the second mode of the present invention has the characteristics of the shooting optical system of the first embodiment, the number of lenses is six, the aperture stop is present between the second lens and the third lens, the second lens, the fourth lens, the fifth lens and the sixth lens are aspherical lenses whose curvature radii on both sides are infinite in the paraxial region and have optical focal lengths of third-order aberration regions in the peripheral portion.

[0042] This embodiment is a photographing optical system having six lenses, and four aspherical lenses having infinite curvature radii on both surfaces in the paraxial region and having optical power having a third-order aberration region in the peripheral portion.

[0043] The shooting optical system of the seventh embodiment of the second mode of the present invention has the characteristics of the shooting optical system of the first embodiment, the number of lenses is seven, the aperture stop is present between the second lens and the third lens, the second lens, the fifth lens and the seventh lens are aspherical lenses with optical focal lengths having infinite radii of curvature on both sides in the paraxial region and a third-order aberration region in the peripheral portion.

[0044] This embodiment is a photographing optical system having seven lenses, three aspherical lenses whose curvature radii of both surfaces are infinite in the paraxial region and have optical power having a third-order aberration region in the peripheral portion.

[0045] In the shooting optical system of the eighth embodiment of the second mode of the present invention, the number of lenses is three to five, and any one of the lenses is an aspherical lens with infinite curvature radius on both sides in the paraxial region and optical focal length having a third-order aberration region in the peripheral portion.

[0046] This embodiment is a photographing optical system having three to five lenses, and one aspherical lens having infinite curvature radius of both surfaces in the paraxial region and having a power having a third-order aberration region in the peripheral portion.

[0047] The photographing optical system of the ninth embodiment of the second mode of the present invention has the characteristics of the photographing optical system of the eighth embodiment, and the first lens is an aspherical lens whose curvature radius of both surfaces is infinite in the paraxial region and has optical power with a third-order aberration region in the peripheral portion.

[0048] According to this embodiment, by configuring an aspheric lens with a curvature radius of both surfaces that is infinite in the paraxial region and has optical focal length of a third-order aberration region in the peripheral portion at a position where the off-axis light beam does not intersect the on-axis light beam, it is possible to obtain a wide-angle shooting optical system that does not use a lens with large optical focal length in the paraxial region and has sufficiently small aberrations.

[0049] The shooting optical system of the tenth embodiment of the second mode of the present invention has the characteristics of the shooting optical system of the eighth embodiment, and the lens closest to the image side is an aspherical lens with a curvature radius of both surfaces that is infinite in the paraxial region and a third-order aberration region in the peripheral portion, and the light beam that is incident on the optical system and reaches the maximum image height and the light beam whose main light beam is incident on the optical system and is parallel to the optical axis do not intersect in the lens closest to the image side.

[0050] According to this embodiment, by configuring an aspheric lens with a curvature radius of both surfaces that is infinite in the paraxial region and has optical focal length of a third-order aberration region in the peripheral portion at a position where the off-axis light beam does not intersect the on-axis light beam, it is possible to obtain a wide-angle shooting optical system that does not use a lens with large optical focal length in the paraxial region and has sufficiently small aberrations.

[0051] The shooting optical system of the eleventh embodiment of the second mode of the present invention has the characteristics of the shooting optical system of the eighth embodiment, and the number of lenses is three. Any one of the lenses is an aspherical lens whose curvature radius of both surfaces is infinite in the paraxial region and has an optical focal length with a negative third-order aberration region in the peripheral part.

[0052] The shooting optical system of the twelfth embodiment of the second mode of the present invention has the characteristics of the shooting optical system of the first embodiment, the number of lenses is five, the first lens, the second lens and the fifth lens are aspherical lenses whose curvature radii on both surfaces are infinite in the paraxial region and have optical focal length in the peripheral portion, and the second lens is an aspherical lens whose curvature radii on both surfaces are infinite in the paraxial region and have optical focal length in a positive third-order aberration region in the peripheral portion. BRIEF DESCRIPTION OF THE DRAWINGS

[0053] Figure 1 This is a diagram showing the structure of the imaging optical system of Example 1.

[0054] Figure 2 It is a diagram showing spherical aberration.

[0055] Figure 3 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers.

[0056] Figure 4 It is a diagram showing the distortion of light having a wavelength of 0.580 micrometers.

[0057] Figure 5 This is a diagram showing the structure of the imaging optical system of Example 2.

[0058] Figure 6 It is a diagram showing spherical aberration.

[0059] Figure 7 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers.

[0060] Figure 8 It is a diagram showing the distortion of light having a wavelength of 0.580 micrometers.

[0061] Fig. 9 This is a diagram showing the structure of the imaging optical system of Example 3.

[0062] Fig.10 It is a diagram showing spherical aberration.

[0063] Fig.11 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers.

[0064] Fig.12 It is a diagram showing the distortion of light having a wavelength of 0.580 micrometers.

[0065] Fig.13 This is a diagram showing the structure of the imaging optical system of Example 4.

[0066] Fig.14 It is a diagram showing spherical aberration.

[0067] Fig.15This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers.

[0068] Fig.16 It is a diagram showing the distortion of light having a wavelength of 0.580 micrometers.

[0069] Fig.17 This is a diagram showing the structure of the imaging optical system of Example 5.

[0070] Fig.18 It is a diagram showing spherical aberration.

[0071] Fig.19 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers.

[0072] Fig. 20 It is a diagram showing the distortion of light having a wavelength of 0.580 micrometers.

[0073] Fig.21 This is a diagram showing the structure of the photographing optical system of Example 6.

[0074] Fig. 22 It is a diagram showing spherical aberration.

[0075] Fig.23 This is a diagram showing astigmatism of light having a wavelength of 587.5618 nanometers.

[0076] Fig.24 It is a diagram showing the distortion of light having a wavelength of 587.5618 nanometers.

[0077] Fig.25 This is a diagram showing the structure of the imaging optical system of Example 7.

[0078] Fig.26 It is a diagram showing spherical aberration.

[0079] Fig. 27 This is a diagram showing astigmatism of light having a wavelength of 587.5618 nanometers.

[0080] Fig.28 It is a diagram showing the distortion of light having a wavelength of 587.5618 nanometers.

[0081] Fig.29 This is a diagram showing the structure of the photographing optical system of Example 8.

[0082] Fig.30 It is a diagram showing spherical aberration.

[0083] Fig.31 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers.

[0084] Fig.32It is a diagram showing the distortion of light having a wavelength of 0.580 micrometers.

[0085] Fig.33 This is a diagram showing the structure of the photographing optical system of Example 9.

[0086] Fig.34 It is a diagram showing spherical aberration.

[0087] Fig.35 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers.

[0088] Fig.36 It is a diagram showing the distortion of light having a wavelength of 0.580 micrometers.

[0089] Fig.37 This is a diagram showing the structure of the photographing optical system of Example 10.

[0090] Fig.38 It is a diagram showing spherical aberration.

[0091] Fig.39 This is a diagram showing astigmatism of light having a wavelength of 587.5618 nanometers.

[0092] Fig.40 It is a diagram showing the distortion of light having a wavelength of 587.5618 nanometers.

[0093] Fig.41 This is a diagram showing the structure of the photographing optical system of Example 11.

[0094] Fig.42 It is a diagram showing spherical aberration.

[0095] Fig.43 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers.

[0096] Fig.44 It is a diagram showing the distortion of light having a wavelength of 0.580 micrometers.

[0097] Fig.45 This is a diagram showing the structure of the photographing optical system of Example 12.

[0098] Fig.46 It is a diagram showing spherical aberration.

[0099] Fig.47 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers.

[0100] Fig.48 is a schematic diagram showing the distortion of light having a wavelength of 0.580 micrometers.

[0101] Fig.493 is a diagram showing the structure of the imaging optical system of Reference Example 1.

[0102] Fig.50 It is a diagram showing spherical aberration.

[0103] Fig.51 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers.

[0104] Fig.52 It is a diagram showing the distortion of light having a wavelength of 0.580 micrometers.

[0105] Fig.53 This is a diagram showing the structure of the photographing optical system of Example 14.

[0106] Fig.54 It is a diagram showing spherical aberration.

[0107] Fig.55 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers.

[0108] Fig.56 Schematic diagram showing the distortion of light having a wavelength of 0.580 micrometers.

[0109] Fig.57 This is a diagram showing the structure of the photographing optical system of Example 15.

[0110] Fig.58 It is a diagram showing spherical aberration.

[0111] Fig.59 This is a diagram showing astigmatism of light having a wavelength of 587.5618 nanometers.

[0112] Fig.60 It is a diagram showing the distortion of light having a wavelength of 587.5618 nanometers.

[0113] Fig.61 This is a diagram showing the structure of the photographing optical system of Example 16.

[0114] Fig.62 It is a diagram showing spherical aberration.

[0115] Fig.63 This is a diagram showing astigmatism of light having a wavelength of 587.5618 nanometers.

[0116] Fig.64 It is a diagram showing the distortion of light having a wavelength of 587.5618 nanometers.

[0117] Fig.65 This is a diagram showing the structure of the photographing optical system of Example 17.

[0118] Fig.66It is a diagram showing spherical aberration.

[0119] Fig.67 This is a diagram showing astigmatism of light having a wavelength of 587.5618 nanometers.

[0120] Fig.68 It is a diagram showing the distortion of light having a wavelength of 587.5618 nanometers.

[0121] Fig.69 This is a diagram showing the structure of the photographing optical system of Example 18.

[0122] Fig.70 It is a diagram showing spherical aberration.

[0123] Fig.71 This is a diagram showing astigmatism of light having a wavelength of 587.5618 nanometers.

[0124] Fig.72 It is a diagram showing the distortion of light having a wavelength of 587.5618 nanometers.

[0125] Fig.73 This is a diagram showing the structure of the photographing optical system of Example 19.

[0126] Fig.74 It is a diagram showing spherical aberration.

[0127] Fig.75 This is a diagram showing astigmatism of light having a wavelength of 587.5618 nanometers.

[0128] Fig.76 It is a diagram showing the distortion of light having a wavelength of 587.5618 nanometers.

[0129] Fig.77 This is a diagram showing the structure of the photographing optical system of Example 20.

[0130] Fig.78 It is a diagram showing spherical aberration.

[0131] Fig.79 This is a diagram showing astigmatism of light having a wavelength of 587.5618 nanometers.

[0132] Fig.80 It is a diagram showing the distortion of light having a wavelength of 587.5618 nanometers.

[0133] Fig.81 This is a diagram showing the structure of the photographing optical system of Example 21.

[0134] Fig.82 It is a diagram showing spherical aberration.

[0135] Fig.83This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers.

[0136] Fig.84 It is a diagram showing the distortion of light having a wavelength of 0.580 micrometers.

[0137] Fig.85 This is a diagram showing the structure of the photographing optical system of Example 22.

[0138] Fig.86 It is a diagram showing spherical aberration.

[0139] Fig.87 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers.

[0140] Fig.88 It is a diagram showing the distortion of light having a wavelength of 0.580 micrometers.

[0141] Fig.89 This is a diagram showing the structure of the photographing optical system of Example 23.

[0142] Fig.90 It is a diagram showing spherical aberration.

[0143] Fig.91 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers.

[0144] Fig.92 It is a diagram showing the distortion of light having a wavelength of 0.580 micrometers.

[0145] Fig.93 This is a diagram showing the structure of the photographing optical system of Example 24.

[0146] Fig.94 It is a diagram showing spherical aberration.

[0147] Fig.95 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers.

[0148] Fig.96 It is a diagram showing the distortion of light having a wavelength of 0.580 micrometers.

[0149] Fig.97 This is a diagram showing the structure of the photographing optical system of Example 25.

[0150] Fig.98 It is a diagram showing spherical aberration.

[0151] Fig.99 This is a diagram showing astigmatism of light having a wavelength of 587.5618 nanometers.

[0152] Fig.100It is a diagram showing the distortion of light having a wavelength of 587.5618 nanometers.

[0153] Fig.101 This is a diagram showing the structure of the photographing optical system of Example 26.

[0154] Fig.102 It is a diagram showing spherical aberration.

[0155] Fig.103 This is a diagram showing astigmatism of light having a wavelength of 587.5618 nanometers.

[0156] Fig.104 It is a diagram showing the distortion of light having a wavelength of 587.5618 nanometers.

[0157] Fig.105 This is a diagram showing the structure of the photographing optical system of Example 27.

[0158] Fig.106 It is a diagram showing spherical aberration.

[0159] Fig.107 This is a diagram showing astigmatism of light having a wavelength of 587.5618 nanometers.

[0160] Fig.108 It is a diagram showing the distortion of light having a wavelength of 587.5618 nanometers.

[0161] Fig.109 This is a diagram showing the structure of the photographing optical system of Example 28.

[0162] Fig.110 It is a diagram showing spherical aberration.

[0163] Fig.111 This is a diagram showing astigmatism of light having a wavelength of 587.5618 nanometers.

[0164] Fig.112 It is a diagram showing the distortion of light having a wavelength of 587.5618 nanometers.

[0165] Fig.113 This is a diagram showing the structure of the photographing optical system of Example 29.

[0166] Fig.114 It is a diagram showing spherical aberration.

[0167] Fig.115 This is a diagram showing astigmatism of light having a wavelength of 587.5618 nanometers.

[0168] Fig.116 It is a diagram showing the distortion of light having a wavelength of 587.5618 nanometers.

[0169] Fig.117 This is a diagram showing the structure of the photographing optical system of Example 30.

[0170] Fig.118 It is a diagram showing spherical aberration.

[0171] Fig.119 This is a diagram showing astigmatism of light having a wavelength of 587.5618 nanometers.

[0172] Fig.120 It is a diagram showing the distortion of light having a wavelength of 587.5618 nanometers.

[0173] Fig.121 This is a diagram showing the structure of the photographing optical system of Example 32.

[0174] Fig.122 It is a diagram showing spherical aberration.

[0175] Fig.123 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers.

[0176] Fig.124 It is a diagram showing the distortion of light having a wavelength of 0.580 micrometers.

[0177] Fig.125 This is a diagram showing the structure of the photographing optical system of Example 34.

[0178] Fig.126 It is a diagram showing spherical aberration.

[0179] Fig.127 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers.

[0180] Fig.128 It is a diagram showing the distortion of light having a wavelength of 0.580 micrometers.

[0181] Fig.129 This is a diagram showing the structure of the photographing optical system of Example 35.

[0182] Fig.130 It is a diagram showing spherical aberration.

[0183] Fig.131 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers.

[0184] Fig.132 It is a diagram showing the distortion of light having a wavelength of 0.580 micrometers.

[0185] Fig.133 This is a diagram showing the structure of the photographing optical system of Example 36.

[0186] Fig.134It is a diagram showing spherical aberration.

[0187] Fig.135 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers.

[0188] Fig.136 It is a diagram showing the distortion of light having a wavelength of 0.580 micrometers.

[0189] Fig.137 This is a diagram showing the structure of the photographing optical system of Example 37.

[0190] Fig.138 It is a diagram showing spherical aberration.

[0191] Fig.139 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers.

[0192] Fig.140 It is a diagram showing the distortion of light having a wavelength of 0.580 micrometers.

[0193] Fig.141 This is a diagram showing the structure of the photographing optical system of Example 39.

[0194] Fig.142 It is a diagram showing spherical aberration.

[0195] Fig.143 This is a diagram showing astigmatism of light having a wavelength of 587.5618 nanometers.

[0196] Fig.144 It is a diagram showing the distortion of light having a wavelength of 587.5618 nanometers.

[0197] Fig.145 This is a diagram showing the structure of the photographing optical system of Example 40.

[0198] Fig.146 It is a diagram showing spherical aberration.

[0199] Fig.147 This is a diagram showing astigmatism of light having a wavelength of 587.5618 nanometers.

[0200] Fig.148 It is a diagram showing the distortion of light having a wavelength of 587.5618 nanometers.

[0201] Fig.149 This is a diagram showing the structure of the photographing optical system of Example 41.

[0202] Fig.150 It is a diagram showing spherical aberration.

[0203] Fig.151This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers.

[0204] Fig.152 It is a diagram showing the distortion of light having a wavelength of 0.580 micrometers.

[0205] Fig.153 This is a diagram showing the structure of the photographing optical system of Example 43.

[0206] Fig.154 It is a diagram showing spherical aberration.

[0207] Fig.155 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers.

[0208] Fig.156 It is a diagram showing the distortion of light having a wavelength of 0.580 micrometers.

[0209] Fig.157 This is a diagram showing the structure of the photographing optical system of Example 44.

[0210] Fig.158 It is a diagram showing spherical aberration.

[0211] Fig.159 This is a diagram showing astigmatism of light having a wavelength of 587.5618 nanometers.

[0212] Fig.160 It is a diagram showing the distortion of light having a wavelength of 587.5618 nanometers.

[0213] Fig.161 This is a diagram showing the structure of the photographing optical system of Example 45.

[0214] Fig.162 It is a diagram showing spherical aberration.

[0215] Fig.163 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers.

[0216] Fig.164 It is a diagram showing the distortion of light having a wavelength of 0.580 micrometers.

[0217] Fig.165 This is a diagram showing the structure of the photographing optical system of Example 46.

[0218] Fig.166 It is a diagram showing spherical aberration.

[0219] Fig.167 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers.

[0220] Fig.168It is a diagram showing the distortion of light having a wavelength of 0.580 micrometers.

[0221] Fig.169 This is a diagram showing the structure of the photographing optical system of Example 47.

[0222] Fig.170 It is a diagram showing spherical aberration.

[0223] Fig.171 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers.

[0224] Fig.172 It is a diagram showing the distortion of light having a wavelength of 0.580 micrometers.

[0225] Fig.173 This is a diagram showing the structure of the photographing optical system of Example 48.

[0226] Fig.174 It is a diagram showing spherical aberration.

[0227] Fig.175 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers.

[0228] Fig.176 It is a diagram showing the distortion of light having a wavelength of 0.580 micrometers.

[0229] Fig.177 This is a diagram showing the structure of the photographing optical system of Example 49.

[0230] Fig.178 It is a diagram showing spherical aberration.

[0231] Fig.179 This is a diagram showing astigmatism of light having a wavelength of 587.5618 nanometers.

[0232] Fig.180 It is a diagram showing the distortion of light having a wavelength of 587.5618 nanometers.

[0233] Fig.181 This is a diagram showing the structure of the photographing optical system of Example 50.

[0234] Fig.182 It is a diagram showing spherical aberration.

[0235] Fig.183 This is a diagram showing astigmatism of light having a wavelength of 587.5618 nanometers.

[0236] Fig.184 It is a diagram showing the distortion of light having a wavelength of 587.5618 nanometers.

[0237] Fig.185This is a diagram showing the structure of the photographing optical system of Example 51.

[0238] Fig.186 It is a diagram showing spherical aberration.

[0239] Fig.187 This is a diagram showing astigmatism of light having a wavelength of 587.5618 nanometers.

[0240] Fig.188 It is a diagram showing the distortion of light having a wavelength of 587.5618 nanometers.

[0241] Fig.189 This is a diagram showing the structure of the photographing optical system of Example 52.

[0242] Fig.190 It is a diagram showing spherical aberration.

[0243] Fig.191 This is a diagram showing astigmatism of light having a wavelength of 587.5618 nanometers.

[0244] Fig.192 It is a diagram showing the distortion of light having a wavelength of 587.5618 nanometers.

[0245] Fig.193 This is a diagram showing the structure of the photographing optical system of Example 53.

[0246] Fig.194 It is a diagram showing spherical aberration.

[0247] Fig.195 This is a diagram showing astigmatism of light having a wavelength of 587.5618 nanometers.

[0248] Fig.196 It is a diagram showing the distortion of light having a wavelength of 587.5618 nanometers. DETAILED DESCRIPTION

[0249] In this specification and claims, a positive lens refers to a lens with positive optical power in the paraxial region, and a negative lens refers to a lens with negative optical power in the paraxial region. The optical axis is a straight line connecting the centers of curvature of all lens surfaces of all lenses. The lens closest to the object side in the shooting optical system is called the first lens, and m is a natural number and the mth lens from the object side is called the mth lens. Image height refers to the value of the image position expressed as a distance from the optical axis on the evaluation surface of the optical system. Distortion is the ratio of the offset of the actual image height to the ideal image height. In this specification, "an aspheric lens whose radius of curvature of both surfaces is infinite in the paraxial region and has an optical power of the third-order aberration region in the peripheral portion" is sometimes referred to as "an aspheric lens whose radius of curvature of both surfaces is infinite in the paraxial region and has an optical power in the peripheral portion".

[0250] The following describes an embodiment of the present invention. The features of the present invention will be described after describing the embodiment. Each surface of each lens of the embodiment is represented by the following formula.

[0251]

[0252] z represents the coordinate in the direction of the optical axis based on the intersection of each surface and the optical axis. In the coordinate system, the coordinates of the points on the image side are determined to be positive. r represents the distance from the optical axis. R represents the radius of curvature of the center of the surface, and k represents the cone constant. A4-A 14 Represents an aspheric coefficient. The sign of R is positive when the surface is convex on the object side in the paraxial region, and negative when the surface is convex on the image side in the paraxial region. Unless otherwise specified in this specification, the unit of length is millimeter.

[0253] In the following table, "Radius of Curvature" indicates the radius of curvature R at the center of each surface. "Plano" in the "Radius of Curvature" column indicates that the surface is a plane. "∞" in the "Radius of Curvature" column indicates that the radius of curvature at the center of each surface is infinite. "Thickness or Spacing" indicates the object distance, the thickness of the optical element, the spacing between optical elements, or the spacing between the optical element and the image plane. "∞" in the "Thickness or Spacing" column indicates that the spacing is infinite. "Material", "Refractive Index" and "Abbe Number" indicate the material of the lens and other optical elements, the refractive index of the material and the Abbe number. "Focal Length" indicates the focal length of each lens. "∞" in the "Focal Length" column indicates that the focal length is infinite.

[0254] In the following description, "HOFV" means half the angle of view (half angle of view). The angle of view is twice the angle between the principal ray of a light beam incident on the imaging optical system and reaching the maximum image height and the optical axis before incidence.

[0255] Embodiments 1 to 30 shown below are embodiments of the second aspect of the present invention, and Embodiments 31 to 53 shown below are embodiments of the first aspect of the present invention.

[0256] Example 1

[0257] Figure 1 1 is a diagram showing the structure of the photographing optical system of Example 1. The photographing optical system includes four lenses arranged from the object side to the image side. The first lens 101 and the fourth lens 104 are aspherical lenses whose curvature radii on both surfaces are infinite in the paraxial region and have optical power in the peripheral portion. The second lens 102 and the third lens 103 are positive meniscus lenses convex on the image side. The aperture stop 6 is located between the second lens 102 and the third lens 103.

[0258] Table 1 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Example 1. The focal length f of the entire photographing optical system is f=0.2808, the aperture value Fno is Fno=3.348, and the HFOV indicating the half field angle is HFOV=50 (degrees). In Table 1, the four lenses are sequentially represented as lenses 1 to 4 from the object side.

[0259] In this embodiment, the object distance from the object to the first lens is 5.242 (=5.142+0.100) mm. Surface 1 has no physical meaning.

[0260] Table 1

[0261]

[0262] Table 2 is a table showing the conic constant and aspheric coefficient of each surface of each lens in Example 1.

[0263] Table 2

[0264]

[0265] Figure 2 It is a diagram showing spherical aberration. Figure 2 The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Figure 2 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Figure 2 In the figure, the solid line represents light with a wavelength of 0.580 micrometers, the one-dot chain line represents light with a wavelength of 0.460 micrometers, and the two-dot chain line represents light with a wavelength of 0.680 micrometers.

[0266] Figure 3 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers. Figure 3 The horizontal axis represents the position of the focus in the optical axis direction. Figure 3 The vertical axis represents the image height. Figure 3 The solid line represents the sagittal plane. Figure 3 The dotted line represents the tangent plane.

[0267] Figure 4 It is a diagram showing the distortion of light having a wavelength of 0.580 micrometers. Figure 4 The horizontal axis represents the distortion in percentage. Figure 4 The vertical axis represents the image height.

[0268] Example 2

[0269] Figure 5: is a diagram showing the structure of the shooting optical system of Example 2. The shooting optical system includes five lenses arranged from the object side to the image side. The first lens 201 and the fifth lens 205 are aspherical lenses whose curvature radius of both surfaces is infinite in the paraxial region and have optical power in the peripheral portion. The second lens 202 and the fourth lens 204 are positive meniscus lenses convex on the image side. The third lens 203 is a negative meniscus lens convex on the image side. The aperture stop 8 is located between the third lens 203 and the fourth lens 204.

[0270] Table 3 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Example 2. The focal length f of the entire photographing optical system is f=0.264, the aperture value Fno is Fno=2.563, and the HFOV indicating the half field angle is HFOV=50 (degrees). In Table 3, the five lenses are indicated as lenses 1-5 in order from the object side.

[0271] In this embodiment, the object distance from the object to the first lens is 5.242 (=5.142+0.100) mm. Surface 1 has no physical meaning.

[0272] Table 3

[0273]

[0274] Table 4 is a table showing the conic constants and aspheric coefficients of the surfaces of the lenses of Example 2.

[0275] Table 4

[0276]

[0277] Figure 6 It is a diagram showing spherical aberration. Figure 6 The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Figure 6 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Figure 6 In the figure, the solid line represents light with a wavelength of 0.580 micrometers, the one-dot chain line represents light with a wavelength of 0.460 micrometers, and the two-dot chain line represents light with a wavelength of 0.680 micrometers.

[0278] Figure 7 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers. Figure 7 The horizontal axis represents the position of the focus in the optical axis direction. Figure 7 The vertical axis represents the image height. Figure 7 The solid line represents the sagittal plane. Figure 7 The dotted line represents the tangent plane.

[0279] Figure 8 It is a diagram showing the distortion of light having a wavelength of 0.580 micrometers. Figure 8 The horizontal axis represents the distortion in percentage. Figure 8 The vertical axis represents the image height.

[0280] Example 3

[0281] Fig. 9 : is a diagram showing the structure of the shooting optical system of Example 3. The shooting optical system includes five lenses arranged from the object side to the image side. The second lens 302 and the fifth lens 305 are aspherical lenses whose curvature radii on both sides are infinite in the paraxial region and have optical power in the peripheral portion. The first lens 301 is a biconcave lens. The third lens 303 is a biconvex lens. The fourth lens 304 is a positive meniscus lens convex on the image side. The aperture stop 8 is located between the third lens 303 and the fourth lens 304.

[0282] Table 5 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Example 3. The focal length f of the entire photographing optical system is f=0.206, the aperture value Fno is Fno=2.5814, and the HFOV indicating the half field angle is HFOV=50 (degrees). In Table 5, the five lenses are indicated as lenses 1-5 in order from the object side.

[0283] In this embodiment, the object distance from the object to the first lens is 5.242 (=5.142+0.100) mm. Surface 1 has no physical meaning.

[0284] Table 5

[0285]

[0286] Table 6 is a table showing the conic constants and aspheric coefficients of each surface of each lens in Example 3.

[0287] Table 6

[0288]

[0289] Fig.10 It is a diagram showing spherical aberration. Fig.10 The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Fig.10 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Fig.10 In the figure, the solid line represents light with a wavelength of 0.580 micrometers, the one-dot chain line represents light with a wavelength of 0.460 micrometers, and the two-dot chain line represents light with a wavelength of 0.680 micrometers.

[0290] Fig.11This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers. Fig.11 The horizontal axis represents the position of the focus in the optical axis direction. Fig.11 The vertical axis represents the image height. Fig.11 The solid line represents the sagittal plane. Fig.11 The dotted line represents the tangent plane.

[0291] Fig.12 It is a diagram showing the distortion of light having a wavelength of 0.580 micrometers. Fig.12 The horizontal axis represents the distortion in percentage. Fig.12 The vertical axis represents the image height.

[0292] Example 4

[0293] Fig.13 : is a diagram showing the structure of the shooting optical system of Example 4. The shooting optical system includes six lenses arranged from the object side to the image side. The first lens 401 and the sixth lens 406 are aspherical lenses whose curvature radii on both sides are infinite in the paraxial region and have optical focal lengths in the peripheral portion. The second lens 402 is a negative meniscus lens that is convex on the image side. The third lens 403 is a positive meniscus lens that is convex on the image side. The fourth lens 404 is a double convex lens. The fifth lens 405 is a double concave lens. The aperture stop 8 is located between the third lens 403 and the fourth lens 404.

[0294] Table 7 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Example 4. The focal length f of the entire photographing optical system is f=0.275, the aperture value Fno is Fno=2.544, and the HFOV indicating the half field angle is HFOV=50 (degrees). In Table 7, the six lenses are indicated as lenses 1-6 in order from the object side.

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

[0296] Table 7

[0297]

[0298] Table 8 is a table showing the conic constants and aspheric coefficients of each surface of each lens in Example 4.

[0299] Table 8

[0300]

[0301] Fig.14 It is a diagram showing spherical aberration. Fig.14The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Fig.14 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Fig.14 In the figure, the solid line represents light with a wavelength of 0.580 micrometers, the one-dot chain line represents light with a wavelength of 0.460 micrometers, and the two-dot chain line represents light with a wavelength of 0.680 micrometers.

[0302] Fig.15 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers. Fig.15 The horizontal axis represents the position of the focus in the optical axis direction. Fig.15 The vertical axis represents the image height. Fig.15 The solid line represents the sagittal plane. Fig.15 The dotted line represents the tangent plane.

[0303] Fig.16 It is a diagram showing the distortion of light having a wavelength of 0.580 micrometers. Fig.16 The horizontal axis represents the distortion in percentage. Fig.16 The vertical axis represents the image height.

[0304] Example 5

[0305] Fig.17 : is a diagram showing the structure of the shooting optical system of Example 5. The shooting optical system includes six lenses arranged from the object side to the image side. The second lens 502 and the sixth lens 506 are aspherical lenses whose curvature radii on both sides are infinite in the paraxial region and have optical power in the peripheral portion. The first lens 501 is a double concave lens. The third lens 503 is a positive meniscus lens that is convex on the object side. The fourth lens 504 is a double convex lens. The fifth lens 505 is a positive meniscus lens that is convex on the object side. The aperture stop 8 is located between the third lens 503 and the fourth lens 504.

[0306] Table 9 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Example 5. The focal length f of the entire photographing optical system is f=0.242, the aperture value Fno is Fno=2.459, and the HFOV indicating the half field angle is HFOV=50 (degrees). In Table 9, the six lenses are indicated as lenses 1-6 in order from the object side.

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

[0308] Table 9

[0309]

[0310] Table 10 is a table showing the conic constants and aspheric coefficients of each surface of each lens in Example 5.

[0311] Table 10

[0312]

[0313] Fig.18 It is a diagram showing spherical aberration. Fig.18 The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Fig.18 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Fig.18 In the figure, the solid line represents light with a wavelength of 0.580 micrometers, the one-dot chain line represents light with a wavelength of 0.460 micrometers, and the two-dot chain line represents light with a wavelength of 0.680 micrometers.

[0314] Fig.19 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers. Fig.19 The horizontal axis represents the position of the focus in the optical axis direction. Fig.19 The vertical axis represents the image height. Fig.19 The solid line represents the sagittal plane. Fig.19 The dotted line represents the tangent plane.

[0315] Fig. 20 It is a diagram showing the distortion of light having a wavelength of 0.580 micrometers. Fig. 20 The horizontal axis represents the distortion in percentage. Fig. 20 The vertical axis represents the image height.

[0316] Example 6

[0317] Fig.21 : is a diagram showing the structure of the shooting optical system of Example 6. The shooting optical system includes five lenses arranged from the object side to the image side and an infrared cut filter 606. The first lens 601 and the fifth lens 605 are aspherical lenses whose curvature radii on both sides are infinite in the paraxial region and have optical power in the peripheral portion. The second lens 602 is a positive meniscus lens that is convex on the image side. The third lens 603 is a double convex lens. The fourth lens 604 is a positive meniscus lens that is convex on the image side. The aperture stop 5 is located between the second lens 602 and the third lens 603.

[0318] Table 11 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Example 6. The focal length f of the entire photographing optical system is f=1.68, the aperture value Fno is Fno=2.4, and the HFOV indicating the half field angle is HFOV=60 (degrees). In Table 11, the five lenses are indicated as lenses 1 to 5 in order from the object side.

[0319] In this embodiment, the object distance from the object to the first lens is infinite.

[0320] Table 11

[0321]

[0322] Table 12 is a table showing the conic constants and aspheric coefficients of each surface of each lens in Example 6.

[0323] Table 12

[0324]

[0325] Fig. 22 It is a diagram showing spherical aberration. Fig. 22 The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Fig. 22 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Fig. 22 In the figure, the solid line represents light with a wavelength of 587.5618 nanometers, the one-dot-dashed line represents light with a wavelength of 486.1327 nanometers, and the two-dot-dashed line represents light with a wavelength of 656.2725 nanometers.

[0326] Fig.23 This is a diagram showing astigmatism of light having a wavelength of 587.5618 nanometers. Fig.23 The horizontal axis represents the position of the focus in the optical axis direction. Fig.23 The vertical axis represents the image height. Fig.23 The solid line represents the sagittal plane. Fig.23 The dotted line represents the tangent plane.

[0327] Fig.24 It is a diagram showing the distortion of light having a wavelength of 587.5618 nanometers. Fig.24 The horizontal axis represents the distortion in percentage. Fig.24 The vertical axis represents the image height.

[0328] Example 7

[0329] Fig.25707 is a diagram showing the structure of the shooting optical system of Example 7. The shooting optical system includes six lenses arranged from the object side to the image side and an infrared cut filter 707. The second lens 702 and the sixth lens 706 are aspherical lenses whose curvature radii on both sides are infinite in the paraxial region and have optical power in the peripheral portion. The first lens 701 is a negative meniscus lens that is convex on the object side. The third lens 703 is a double convex lens. The fourth lens 704 is a positive meniscus lens that is convex on the image side. The fifth lens 705 is a negative meniscus lens that is convex on the image side. The aperture stop 5 is located between the second lens 702 and the third lens 703.

[0330] Table 13 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Example 7. The focal length f of the entire photographing optical system is f=1.388, the aperture value Fno is Fno=2, and the HFOV indicating the half field angle is HFOV=65 (degrees). In Table 13, the six lenses are indicated as lenses 1 to 6 in order from the object side.

[0331] In this embodiment, the object distance from the object to the first lens is infinite.

[0332] Table 13

[0333]

[0334] Table 14 is a table showing the conic constants and aspheric coefficients of each surface of each lens in Example 7.

[0335] Table 14

[0336]

[0337] Fig.26 It is a diagram showing spherical aberration. Fig.26 The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Fig.26 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Fig.26 In the figure, the solid line represents light with a wavelength of 587.5618 nanometers, the one-dot-dashed line represents light with a wavelength of 486.1327 nanometers, and the two-dot-dashed line represents light with a wavelength of 656.2725 nanometers.

[0338] Fig. 27 This is a diagram showing astigmatism of light having a wavelength of 587.5618 nanometers. Fig.23 The horizontal axis represents the position of the focus in the optical axis direction. Fig. 27 The vertical axis represents the angle of the light relative to the optical axis. Fig.23 The solid line represents the sagittal plane. Fig. 27The dotted line represents the tangent plane.

[0339] Fig.28 It is a diagram showing the distortion of light having a wavelength of 587.5618 nanometers. Fig.28 The horizontal axis represents the distortion in percentage. Fig.28 The vertical axis represents the angle of the light relative to the optical axis.

[0340] Example 8

[0341] Fig.29 : is a diagram showing the structure of the shooting optical system of Example 8. The shooting optical system includes three lenses arranged from the object side to the image side. The first lens 801 is an aspherical lens whose curvature radius of both surfaces is infinite in the paraxial region and has optical power in the peripheral portion. The second lens 802 is a positive meniscus lens that is convex on the image side. The third lens 803 is a biconvex lens. The aperture stop 6 is located between the second lens 802 and the third lens 803.

[0342] Table 15 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Example 8. The focal length f of the entire photographing optical system is f=0.281, the aperture value Fno is Fno=3.207, and the HFOV indicating the half field angle is HFOV=50 (degrees). In Table 15, the three lenses are indicated as lenses 1-3 in order from the object side.

[0343] In this embodiment, the object distance from the object to the first lens is 5.242 (=5.142+0.100) mm. Surface 1 has no physical meaning.

[0344] Table 15

[0345]

[0346] Table 16 is a table showing the conic constants and aspheric coefficients of each surface of each lens in Example 8.

[0347] Table 16

[0348]

[0349] Fig.30 It is a diagram showing spherical aberration. Fig.30 The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Fig.30 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Fig.30 In the figure, the solid line represents light with a wavelength of 0.580 micrometers, the one-dot chain line represents light with a wavelength of 0.460 micrometers, and the two-dot chain line represents light with a wavelength of 0.680 micrometers.

[0350] Fig.31 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers. Fig.31 The horizontal axis represents the position of the focus in the optical axis direction. Fig.31 The vertical axis represents the image height. Fig.31 The solid line represents the sagittal plane. Fig.31 The dotted line represents the tangent plane.

[0351] Fig.32 It is a diagram showing the distortion of light having a wavelength of 0.580 micrometers. Fig.32 The horizontal axis represents the distortion in percentage. Fig.32 The vertical axis represents the image height.

[0352] Example 9

[0353] Fig.33 : is a diagram showing the structure of the shooting optical system of Example 9. The shooting optical system includes three lenses arranged from the object side to the image side. The second lens 902 is an aspherical lens whose curvature radius of both surfaces is infinite in the paraxial region and has optical power in the peripheral portion. The first lens 901 is a biconcave lens. The third lens 903 is a biconvex lens. The aperture stop 6 is located between the second lens 902 and the third lens 903.

[0354] Table 17 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Example 9. The focal length f of the entire photographing optical system is f=0.271, the aperture value Fno is Fno=3.397, and the HFOV indicating the half field angle is HFOV=50 (degrees). In Table 17, the three lenses are indicated as lenses 1-3 in order from the object side.

[0355] In this embodiment, the object distance from the object to the first lens is 7.000 (=6.900+0.100) mm. Surface 1 has no physical meaning.

[0356] Table 17

[0357]

[0358] Table 18 is a table showing the conic constants and aspheric coefficients of each surface of each lens of Example 9.

[0359] Table 18

[0360]

[0361] Fig.34 It is a diagram showing spherical aberration. Fig.34 The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Fig.34 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Fig.34 In the figure, the solid line represents light with a wavelength of 0.580 micrometers, the one-dot chain line represents light with a wavelength of 0.460 micrometers, and the two-dot chain line represents light with a wavelength of 0.680 micrometers.

[0362] Fig.35 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers. Fig.35 The horizontal axis represents the position of the focus in the optical axis direction. Fig.35 The vertical axis represents the image height. Fig.35 The solid line shows the sagittal plane. Fig.35 The dotted line represents the tangent plane.

[0363] Fig.36 It is a diagram showing the distortion of light having a wavelength of 0.580 micrometers. Fig.36 The horizontal axis represents the distortion in percentage. Fig.36 The vertical axis represents the image height.

[0364] Example 10

[0365] Fig.37 1001 is a diagram showing the structure of the photographing optical system of Example 10. The photographing optical system includes three lenses arranged from the object side to the image side and an infrared cut filter 1004. The third lens 1003 is an aspherical lens having an infinite radius of curvature on both sides in the paraxial region and having optical power in the peripheral portion. The first lens 1001 is a negative meniscus lens that is convex on the object side. The second lens 1002 is a biconvex lens. The aperture stop 3 is located between the first lens 1001 and the second lens 1002.

[0366] Table 19 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Example 10. The focal length f of the entire photographing optical system is f=0.87, the aperture value Fno is Fno=2.8, and the HFOV indicating the half field angle is HFOV=65 (degrees). In Table 19, the three lenses are indicated as lenses 1-3 in order from the object side.

[0367] In this embodiment, the object distance from the object to the first lens is infinite.

[0368] Table 19

[0369]

[0370] Table 20 is a table showing the conic constants and aspheric coefficients of each surface of each lens in Example 10.

[0371] Table 20

[0372]

[0373] Fig.38 It is a diagram showing spherical aberration. Fig.38 The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Fig.38 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Fig.38 In the figure, the solid line represents light with a wavelength of 587.5618 nanometers, the one-dot-dashed line represents light with a wavelength of 486.1327 nanometers, and the two-dot-dashed line represents light with a wavelength of 656.2725 nanometers.

[0374] Fig.39 This is a diagram showing astigmatism of light having a wavelength of 587.5618 nanometers. Fig.39 The horizontal axis represents the position of the focus in the optical axis direction. Fig.39 The vertical axis represents the angle of the light relative to the optical axis. Fig.39 The solid line shows the sagittal plane. Fig.39 The dotted line represents the tangent plane.

[0375] Fig.40 It is a diagram showing the distortion of light having a wavelength of 587.5618 nanometers. Fig.40 The horizontal axis represents the distortion in percentage. Fig.40 The vertical axis represents the angle of the light relative to the optical axis.

[0376] Embodiment 11

[0377] Fig.41 11 is a diagram showing the structure of the shooting optical system of Example 11. The shooting optical system includes four lenses arranged from the object side to the image side. The first lens 1101 is an aspheric lens whose radius of curvature of both surfaces is infinite in the paraxial region and has optical power in the peripheral portion. The second lens 1102 is a positive meniscus lens that is convex on the image side. The third lens 1103 is a positive meniscus lens that is convex on the image side. The fourth lens 1104 is a double convex lens. The aperture stop 6 is located between the second lens 1102 and the third lens 1103.

[0378] Table 21 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Example 11. The focal length f of the entire photographing optical system is f=0.273, the aperture value Fno is Fno=3.25, and the HFOV indicating the half field angle is HFOV=50 (degrees). In Table 21, the four lenses are indicated as lenses 1 to 4 in order from the object side.

[0379] In this embodiment, the object distance from the object to the first lens is 5.242 (=5.142+0.100) mm. Surface 1 has no physical meaning.

[0380] Table 21

[0381]

[0382] Table 22 is a table showing the conic constants and aspheric coefficients of each surface of each lens in Example 11.

[0383] Table 22

[0384]

[0385] Fig.42 This is a diagram showing spherical aberration. Fig.42 The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Fig.42 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Fig.42 In the figure, the solid line represents light with a wavelength of 0.580 micrometers, the one-dot chain line represents light with a wavelength of 0.460 micrometers, and the two-dot chain line represents light with a wavelength of 0.680 micrometers.

[0386] Fig.43 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers. Fig.43 The horizontal axis represents the position of the focus in the optical axis direction. Fig.43 The vertical axis represents the image height. Fig.43 The solid line represents the sagittal plane. Fig.43 The dotted line represents the tangent plane.

[0387] Fig.44 This is a diagram showing the distortion of light having a wavelength of 0.580 micrometers. Fig.44 The horizontal axis represents the distortion in percentage. Fig.44 The vertical axis represents the image height.

[0388] Example 12

[0389] Fig.45 1201 is a diagram showing the structure of the shooting optical system of Example 12. The shooting optical system includes four lenses arranged from the object side to the image side. The second lens 1202 is an aspheric lens whose curvature radius of both surfaces is infinite in the paraxial region and has optical power in the peripheral portion. The first lens 1201 is a biconcave lens. The third lens 1203 is a biconvex lens. The fourth lens 1204 is a biconcave lens. The aperture stop 6 is located between the second lens 1202 and the third lens 1203.

[0390] Table 23 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Example 12. The focal length f of the entire photographing optical system is f=0.265, the aperture value Fno is Fno=3.577, and the HFOV indicating the half field angle is HFOV=50 (degrees). In Table 23, the four lenses are indicated as lenses 1 to 4 in order from the object side.

[0391] In this embodiment, the object distance from the object to the first lens is 5.242 (=5.142+0.100) mm. Surface 1 has no physical meaning.

[0392] Table 23

[0393]

[0394] Table 24 is a table showing the conic constants and aspheric coefficients of each surface of each lens in Example 12.

[0395] Table 24

[0396]

[0397] Fig.46 This is a diagram showing spherical aberration. Fig.46 The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Fig.46 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Fig.46 In the figure, the solid line represents light with a wavelength of 0.580 micrometers, the one-dot chain line represents light with a wavelength of 0.460 micrometers, and the two-dot chain line represents light with a wavelength of 0.680 micrometers.

[0398] Fig.47 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers. Fig.47 The horizontal axis represents the position of the focus in the optical axis direction. Fig.47 The vertical axis represents the image height. Fig.47 The solid line shows the sagittal plane. Fig.47 The dotted line represents the tangent plane.

[0399] Fig.48 This is a diagram showing the distortion of light having a wavelength of 0.580 micrometers. Fig.48 The horizontal axis represents the distortion in percentage. Fig.48 The vertical axis represents the image height.

[0400] Reference Example 1

[0401] Fig.49: is a diagram showing the structure of the shooting optical system of reference example 1. The shooting optical system includes four lenses arranged from the object side to the image side. The third lens 1303 is an aspheric lens whose radius of curvature of both surfaces is infinite in the paraxial region and has optical power in the peripheral portion. The first lens 1301 is a negative meniscus lens that is convex on the object side. The second lens 1302 is a double convex lens. The fourth lens 1304 is a positive meniscus lens that is convex on the object side. The aperture stop 6 is located between the second lens 1302 and the third lens 1303.

[0402] Table 25 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Reference Example 1. The focal length f of the entire photographing optical system is f=0.24, the aperture value Fno is Fno=3.438, and the HFOV indicating the half field angle is HFOV=50 (degrees). In Table 25, the four lenses are indicated as lenses 1 to 4 in order from the object side.

[0403] In this reference example, the object distance from the object to the first lens is 5.242 (=5.142+0.100) mm. Surface 1 has no physical meaning.

[0404] Table 25

[0405]

[0406] Table 26 is a table showing the conic constants and aspheric coefficients of each surface of each lens in Reference Example 1.

[0407] Table 26

[0408]

[0409] Fig.50 This is a diagram showing spherical aberration. Fig.50 The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Fig.50 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Fig.50 In the figure, the solid line represents light with a wavelength of 0.580 micrometers, the one-dot chain line represents light with a wavelength of 0.460 micrometers, and the two-dot chain line represents light with a wavelength of 0.680 micrometers.

[0410] Fig.51 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers. Fig.51 The horizontal axis represents the position of the focus in the optical axis direction. Fig.51 The vertical axis represents the image height. Fig.51 The solid line shows the sagittal plane. Fig.51 The dotted line represents the tangent plane.

[0411] Fig.52 This is a diagram showing the distortion of light having a wavelength of 0.580 micrometers. Fig.52 The horizontal axis represents the distortion in percentage. Fig.52 The vertical axis represents the image height.

[0412] Embodiment 14

[0413] Fig.53 14 is a diagram showing the structure of the shooting optical system of Example 14. The shooting optical system includes four lenses arranged from the object side to the image side. The fourth lens 1404 is an aspheric lens whose curvature radius of both surfaces is infinite in the paraxial region and has optical power in the peripheral portion. The first lens 1401 is a biconcave lens. The second lens 14023 is a biconvex lens. The third lens 1403 is a positive meniscus lens that is convex on the image side. The aperture stop 6 is located between the second lens 1402 and the third lens 1403.

[0414] Table 27 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Example 14. The focal length f of the entire photographing optical system is f=0.244, the aperture value Fno is Fno=3.185, and the HFOV indicating the half field angle is HFOV=50 (degrees). In Table 27, the four lenses are indicated as lenses 1 to 4 in order from the object side.

[0415] In this embodiment, the object distance from the object to the first lens is 5.242 (=5.142+0.100) mm. Surface 1 has no physical meaning.

[0416] Table 27

[0417]

[0418] Table 28 is a table showing the conic constants and aspheric coefficients of each surface of each lens in Example 14.

[0419] Table 28

[0420]

[0421] Fig.54 This is a diagram showing spherical aberration. Fig.54 The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Fig.54 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Fig.54 In the figure, the solid line represents light with a wavelength of 0.580 micrometers, the one-dot chain line represents light with a wavelength of 0.460 micrometers, and the two-dot chain line represents light with a wavelength of 0.680 micrometers.

[0422] Fig.55 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers. Fig.55 The horizontal axis represents the position of the focus in the optical axis direction. Fig.55 The vertical axis represents the image height. Fig.55 The solid line shows the sagittal plane. Fig.55 The dotted line represents the tangent plane.

[0423] Fig.56 This is a diagram showing the distortion of light having a wavelength of 0.580 micrometers. Fig.56 The horizontal axis represents the distortion in percentage. Fig.56 The vertical axis represents the image height.

[0424] Embodiment 15

[0425] Fig.57 : is a diagram showing the structure of the shooting optical system of Example 15. The shooting optical system includes five lenses arranged from the object side to the image side and an infrared cut filter 1506. The first lens 1501 is an aspheric lens in which the radius of curvature of both surfaces is infinite in the paraxial region and has optical power in the peripheral portion. The second lens 1502 is a positive meniscus lens that is convex on the image side. The third lens 1503 is a double convex lens. The fourth lens 1504 is a negative meniscus lens that is convex on the image side. The fifth lens 1505 is a positive meniscus lens that is convex on the object side. The aperture stop 5 is located between the second lens 1502 and the third lens 1503.

[0426] Table 29 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Example 15. The focal length f of the entire photographing optical system is f=1.69, the aperture value Fno is Fno=2, and the HFOV indicating the half field angle is HFOV=60 (degrees). In Table 29, the five lenses are indicated as lenses 1-5 in order from the object side.

[0427] In this embodiment, the object distance from the object to the first lens is infinite.

[0428] Table 29

[0429]

[0430] Table 30 is a table showing the conic constants and aspheric coefficients of each surface of each lens in Example 15.

[0431] Table 30

[0432]

[0433] Fig.58 This is a diagram showing spherical aberration. Fig.58The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Fig.58 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Fig.58 In the figure, the solid line represents light with a wavelength of 587.5618 nanometers, the one-dot-dashed line represents light with a wavelength of 486.1327 nanometers, and the two-dot-dashed line represents light with a wavelength of 656.2725 nanometers.

[0434] Fig.59 This is a diagram showing astigmatism of light having a wavelength of 587.5618 nanometers. Fig.59 The horizontal axis represents the position of the focus in the optical axis direction. Fig.59 The vertical axis represents the image height. Fig.59 The solid line represents the sagittal plane. Fig.59 The dotted line represents the tangent plane.

[0435] Fig.60 This is a diagram showing the distortion of light having a wavelength of 587.5618 nanometers. Fig.60 The horizontal axis represents the distortion in percentage. Fig.60 The vertical axis represents the image height.

[0436] Example 16

[0437] Fig.61 1604 is a diagram showing the structure of the shooting optical system of Example 16. The shooting optical system includes five lenses arranged from the object side to the image side and an infrared cut filter 1606. The second lens 1602 is an aspheric lens whose radius of curvature of both surfaces is infinite in the paraxial region and has optical power in the peripheral portion. The first lens 1601 is a negative meniscus lens that is convex on 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.

[0438] Table 31 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Example 16. The focal length f of the entire photographing optical system is f=1.3, the aperture value Fno is Fno=2, and the HFOV indicating the half field angle is HFOV=60 (degrees). In Table 31, the five lenses are indicated as lenses 1-5 in order from the object side.

[0439] In this embodiment, the object distance from the object to the first lens is infinite.

[0440] Table 31

[0441]

[0442] Table 32 is a table showing the conic constants and aspheric coefficients of each surface of each lens in Example 16.

[0443] Table 32

[0444]

[0445] Fig.62 This is a diagram showing spherical aberration. Fig.62 The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Fig.62 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Fig.62 In the figure, the solid line represents light with a wavelength of 587.5618 nanometers, the one-dot-dashed line represents light with a wavelength of 486.1327 nanometers, and the two-dot-dashed line represents light with a wavelength of 656.2725 nanometers.

[0446] Fig.63 This is a diagram showing astigmatism of light having a wavelength of 587.5618 nanometers. Fig.63 The horizontal axis represents the position of the focus in the optical axis direction. Fig.63 The vertical axis represents the image height. Fig.63 The solid line represents the sagittal plane. Fig.63 The dotted line represents the tangent plane.

[0447] Fig.64 This is a diagram showing the distortion of light having a wavelength of 587.5618 nanometers. Fig.64 The horizontal axis represents the distortion in percentage. Fig.64 The vertical axis represents the image height.

[0448] Embodiment 17

[0449] Fig.65 1704 is a diagram showing the structure of the shooting optical system of Example 17. The shooting optical system includes five lenses arranged from the object side to the image side and an infrared cut filter 1706. The third lens 1703 is an aspheric lens having a curvature radius of both surfaces that is infinite in the paraxial region and having optical power in the peripheral portion. 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 that is convex on the object side. The aperture stop 3 is located between the first lens 1701 and the second lens 1702.

[0450] Table 33 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Example 17. The focal length f of the entire photographing optical system is f=1.55, the aperture value Fno is Fno=2, and the HFOV indicating the half field angle is HFOV=60 (degrees). In Table 33, the five lenses are indicated as lenses 1-5 in order from the object side.

[0451] In this embodiment, the object distance from the object to the first lens is infinite.

[0452] Table 33

[0453]

[0454] Table 34 is a table showing the conic constants and aspheric coefficients of each surface of each lens in Example 17.

[0455] Table 34

[0456]

[0457] Fig.66 This is a diagram showing spherical aberration. Fig.66 The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Fig.66 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Fig.66 In the figure, the solid line represents light with a wavelength of 587.5618 nanometers, the one-dot-dashed line represents light with a wavelength of 486.1327 nanometers, and the two-dot-dashed line represents light with a wavelength of 656.2725 nanometers.

[0458] Fig.67 This is a diagram showing astigmatism of light having a wavelength of 587.5618 nanometers. Fig.67 The horizontal axis represents the position of the focus in the optical axis direction. Fig.67 The vertical axis represents the image height. Fig.67 The solid line shows the sagittal plane. Fig.67 The dotted line represents the tangent plane.

[0459] Fig.68 This is a diagram showing the distortion of light having a wavelength of 587.5618 nanometers. Fig.68 The horizontal axis represents the distortion in percentage. Fig.68 The vertical axis represents the image height.

[0460] Embodiment 18

[0461] Fig.691801 is a diagram showing the structure of the shooting optical system of Example 18. The shooting optical system includes five lenses arranged from the object side to the image side and an infrared cut filter 1806. The fourth lens 1804 is an aspheric lens whose curvature radius of both surfaces is infinite in the paraxial region and has optical power in the peripheral portion. 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. The aperture stop 3 is located between the first lens 1801 and the second lens 1802.

[0462] Table 35 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Example 18. The focal length f of the entire photographing optical system is f=1.6, the aperture value Fno is Fno=2, and the HFOV indicating the half field angle is HFOV=60 (degrees). In Table 35, the five lenses are indicated as lenses 1-5 in order from the object side.

[0463] In this embodiment, the object distance from the object to the first lens is infinite.

[0464] Table 35

[0465]

[0466] Table 36 is a table showing the conic constants and aspheric coefficients of each surface of each lens in Example 18.

[0467] Table 36

[0468]

[0469] Fig.70 This is a diagram showing spherical aberration. Fig.70 The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Fig.70 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Fig.70 In the figure, the solid line represents light with a wavelength of 587.5618 nanometers, the one-dot-dashed line represents light with a wavelength of 486.1327 nanometers, and the two-dot-dashed line represents light with a wavelength of 656.2725 nanometers.

[0470] Fig.71 This is a diagram showing astigmatism of light having a wavelength of 587.5618 nanometers. Fig.71 The horizontal axis represents the position of the focus in the optical axis direction. Fig.71 The vertical axis represents the image height. Fig.71 The solid line shows the sagittal plane. Fig.71 The dotted line represents the tangent plane.

[0471] Fig.72 This is a diagram showing the distortion of light having a wavelength of 587.5618 nanometers. Fig.72 The horizontal axis represents the distortion in percentage. Fig.72 The vertical axis represents the image height.

[0472] Embodiment 19

[0473] Fig.73 1906. The photographing optical system includes five lenses arranged from the object side to the image side and an infrared cut filter 1906. The fifth lens 1905 is an aspheric lens having a curvature radius of both surfaces that is infinite in the paraxial region and having optical power in the peripheral portion. 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.

[0474] Table 37 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Example 19. The focal length f of the entire photographing optical system is f=1.4, the aperture value Fno is Fno=2, and the HFOV indicating the half field angle is HFOV=60 (degrees). In Table 37, the five lenses are indicated as lenses 1-5 in order from the object side.

[0475] In this embodiment, the object distance from the object to the first lens is infinite.

[0476] Table 37

[0477]

[0478] Table 38 is a table showing the conic constants and aspheric coefficients of each surface of each lens in Example 19.

[0479] Table 38

[0480]

[0481] Fig.74 This is a diagram showing spherical aberration. Fig.74 The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Fig.74 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Fig.74 In the figure, the solid line represents light with a wavelength of 587.5618 nanometers, the one-dot-dashed line represents light with a wavelength of 486.1327 nanometers, and the two-dot-dashed line represents light with a wavelength of 656.2725 nanometers.

[0482] Fig.75 This is a diagram showing astigmatism of light having a wavelength of 587.5618 nanometers. Fig.75 The horizontal axis represents the position of the focus in the optical axis direction. Fig.75 The vertical axis represents the image height. Fig.75 The solid line represents the sagittal plane. Fig.75 The dotted line represents the tangent plane.

[0483] Fig.76 This is a diagram showing the distortion of light having a wavelength of 587.5618 nanometers. Fig.76 The horizontal axis represents the distortion in percentage. Fig.76 The vertical axis represents the image height.

[0484] Embodiment 20

[0485] Fig.77 2001 is a diagram showing the structure of the shooting optical system of Example 20. The shooting optical system includes five lenses arranged from the object side to the image side and an infrared cut filter 2006. The fifth lens 2005 is an aspherical lens whose curvature radius of both surfaces is infinite in the paraxial region and has optical power in the peripheral portion. The first lens 2001 is a negative meniscus lens that is convex on the object side. The second lens 2002 is a positive meniscus lens that is convex on the object side. The third lens 2003 is a double convex lens. The fourth lens 2004 is a negative meniscus lens that is convex on the image side. The aperture stop 5 is located between the second lens 2002 and the third lens 2003.

[0486] Table 39 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Example 20. The focal length f of the entire photographing optical system is f=1.69, the aperture value Fno is Fno=2, and the HFOV indicating the half field angle is HFOV=60 (degrees). In Table 39, the five lenses are indicated as lenses 1-5 in order from the object side.

[0487] In this embodiment, the object distance from the object to the first lens is infinite.

[0488] Table 39

[0489]

[0490] Table 40 is a table showing the conic constants and aspheric coefficients of each surface of each lens in Example 20.

[0491] Table 40

[0492]

[0493] Fig.78 This is a diagram showing spherical aberration. Fig.78The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Fig.78 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Fig.78 In the figure, the solid line represents light with a wavelength of 587.5618 nanometers, the one-dot-dashed line represents light with a wavelength of 486.1327 nanometers, and the two-dot-dashed line represents light with a wavelength of 656.2725 nanometers.

[0494] Fig.79 This is a diagram showing astigmatism of light having a wavelength of 587.5618 nanometers. Fig.79 The horizontal axis represents the position of the focus in the optical axis direction. Fig.79 The vertical axis represents the image height. Fig.79 The solid line shows the sagittal plane. Fig.79 The dotted line represents the tangent plane.

[0495] Fig.80 This is a diagram showing the distortion of light having a wavelength of 587.5618 nanometers. Fig.80 The horizontal axis represents the distortion in percentage. Fig.80 The vertical axis represents the image height.

[0496] Embodiment 21

[0497] Fig.81 21 is a diagram showing the structure of the shooting optical system of Example 21. The shooting optical system includes five lenses arranged from the object side to the image side. The first lens 2101, the second lens 2102, and the fifth lens 2105 are aspheric lenses whose curvature radii on both sides are infinite in the paraxial region and have optical power in the peripheral portion. The third lens 2103 is a biconvex lens. The fourth lens 2104 is a negative meniscus lens that is convex on the image side. The aperture stop 6 is located between the second lens 2102 and the third lens 2103.

[0498] Table 41 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Example 21. The focal length f of the entire photographing optical system is f=0.264, the aperture value Fno is Fno=2.51, and the HFOV indicating the half field angle is HFOV=50 (degrees). In Table 41, the five lenses are indicated as lenses 1-5 in order from the object side.

[0499] In this embodiment, the object distance from the object to the first lens is 5.242 (=5.142+0.100) mm. Surface 1 has no physical meaning.

[0500] Table 41

[0501]

[0502] Table 42 is a table showing the conic constants and aspheric coefficients of each surface of each lens in Example 21.

[0503] Table 42

[0504]

[0505] Fig.82 This is a diagram showing spherical aberration. Fig.82 The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Fig.82 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Fig.82 In the figure, the solid line represents light with a wavelength of 0.580 micrometers, the one-dot chain line represents light with a wavelength of 0.460 micrometers, and the two-dot chain line represents light with a wavelength of 0.680 micrometers.

[0506] Fig.83 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers. Fig.83 The horizontal axis represents the position of the focus in the optical axis direction. Fig.83 The vertical axis represents the image height. Fig.83 The solid line represents the sagittal plane. Fig.83 The dotted line represents the tangent plane.

[0507] Fig.84 This is a diagram showing the distortion of light having a wavelength of 0.580 micrometers. Fig.84 The horizontal axis represents the distortion in percentage. Fig.84 The vertical axis represents the image height.

[0508] Embodiment 22

[0509] Fig.85 2201, the second lens 2202 and the fifth lens 2205 are aspheric lenses whose curvature radii of both surfaces are infinite in the paraxial region and have optical power in the peripheral portion. The third lens 2203 is a biconvex lens. The fourth lens 2204 is a negative meniscus lens that is convex on the image side. The aperture stop 6 is located between the second lens 2202 and the third lens 2203.

[0510] Table 43 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Example 22. The focal length f of the entire photographing optical system is f=0.274, the aperture value Fno is Fno=2.492, and the HFOV indicating the half field angle is HFOV=50 (degrees). In Table 43, the five lenses are indicated as lenses 1-5 in order from the object side.

[0511] In this embodiment, the object distance from the object to the first lens is 5.242 (=5.142+0.100) mm. Surface 1 has no physical meaning.

[0512] Table 43

[0513]

[0514] Table 44 is a table showing the conic constants and aspheric coefficients of each surface of each lens in Example 22.

[0515] Table 44

[0516]

[0517] Fig.86 This is a diagram showing spherical aberration. Fig.86 The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Fig.86 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Fig.86 In the figure, the solid line represents light with a wavelength of 0.580 micrometers, the one-dot chain line represents light with a wavelength of 0.460 micrometers, and the two-dot chain line represents light with a wavelength of 0.680 micrometers.

[0518] Fig.87 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers. Fig.87 The horizontal axis represents the position of the focus in the optical axis direction. Fig.87 The vertical axis represents the image height. Fig.87 The solid line represents the sagittal plane. Fig.87 The dotted line represents the tangent plane.

[0519] Fig.88 This is a diagram showing the distortion of light having a wavelength of 0.580 micrometers. Fig.88 The horizontal axis represents the distortion in percentage. Fig.88 The vertical axis represents the image height.

[0520] Embodiment 23

[0521] Fig.892301, the second lens 2302 and the fifth lens 2305 are aspheric lenses whose curvature radii of both surfaces are infinite in the paraxial region and have optical power in the peripheral portion. The third lens 2303 is a biconvex lens. The fourth lens 2304 is a negative meniscus lens that is convex on the image side. The aperture stop 6 is located between the second lens 2302 and the third lens 2303.

[0522] Table 45 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Example 23. The focal length f of the entire photographing optical system is f=0.278, the aperture value Fno is Fno=2.458, and the HFOV indicating the half field angle is HFOV=50 (degrees). In Table 45, the five lenses are indicated as lenses 1-5 in order from the object side.

[0523] In this embodiment, the object distance from the object to the first lens is 5.242 (=5.142+0.100) mm. Surface 1 has no physical meaning.

[0524] Table 45

[0525]

[0526] Table 46 is a table showing the conic constants and aspheric coefficients of each surface of each lens in Example 23.

[0527] Table 46

[0528]

[0529] Fig.90 This is a diagram showing spherical aberration. Fig.90 The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Fig.90 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Fig.90 In the figure, the solid line represents light with a wavelength of 0.580 micrometers, the one-dot chain line represents light with a wavelength of 0.460 micrometers, and the two-dot chain line represents light with a wavelength of 0.680 micrometers.

[0530] Fig.91 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers. Fig.91 The horizontal axis represents the position of the focus in the optical axis direction. Fig.91 The vertical axis represents the image height. Fig.91 The solid line represents the sagittal plane. Fig.91 The dotted line represents the tangent plane.

[0531] Fig.92 This is a diagram showing the distortion of light having a wavelength of 0.580 micrometers. Fig.92 The horizontal axis represents the distortion in percentage. Fig.92 The vertical axis represents the image height.

[0532] Embodiment 24

[0533] Fig.93 24 is a diagram showing the structure of the shooting optical system of Example 24. The shooting optical system includes five lenses arranged from the object side to the image side. The first lens 2401, the second lens 2402, and the fifth lens 2405 are aspheric lenses whose curvature radii on both sides are infinite in the paraxial region and have optical power in the peripheral portion. The third lens 2403 is a biconvex lens. The fourth lens 2404 is a negative meniscus lens that is convex on the image side. The aperture stop 6 is located between the second lens 2402 and the third lens 2403.

[0534] Table 47 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Example 24. The focal length f of the entire photographing optical system is f=0.277, the aperture value Fno is Fno=2.458, and the HFOV indicating the half field angle is HFOV=50 (degrees). In Table 47, the five lenses are indicated as lenses 1-5 in order from the object side.

[0535] In this embodiment, the object distance from the object to the first lens is 5.242 (=5.142+0.100) mm. Surface 1 has no physical meaning.

[0536] Table 47

[0537]

[0538] Table 48 is a table showing the conic constants and aspheric coefficients of each surface of each lens in Example 24.

[0539] Table 48

[0540]

[0541] Fig.94 This is a diagram showing spherical aberration. Fig.94 The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Fig.94 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Fig.90 In the figure, the solid line represents light with a wavelength of 0.580 micrometers, the one-dot chain line represents light with a wavelength of 0.460 micrometers, and the two-dot chain line represents light with a wavelength of 0.680 micrometers.

[0542] Fig.95 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers. Fig.95 The horizontal axis represents the position of the focus in the optical axis direction. Fig.95 The vertical axis represents the image height. Fig.95 The solid line represents the sagittal plane. Fig.95 The dotted line represents the tangent plane.

[0543] Fig.96 This is a diagram showing the distortion of light having a wavelength of 0.580 micrometers. Fig.96 The horizontal axis represents the distortion in percentage. Fig.96 The vertical axis represents the image height.

[0544] Embodiment 25

[0545] Fig.97 25 is a diagram showing the structure of the shooting optical system of Example 25. The shooting optical system includes seven lenses arranged from the object side to the image side and an infrared cut filter 2508. The second lens 2502, the fifth lens 2505 and the seventh lens 2507 are aspherical lenses whose curvature radii on both sides are infinite in the paraxial region and have optical power in the peripheral portion. The first lens 2501 is a negative meniscus lens that is convex on the object side. The third lens 2503 is a biconvex lens. The fourth lens 2504 is a biconcave lens. The sixth lens 2506 is a biconvex lens. The aperture stop 5 is located between the second lens 2502 and the third lens 2503.

[0546] Table 49 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Example 25. The focal length f of the entire photographing optical system is f=1.121, the aperture value Fno is Fno=1.8, and the HFOV indicating the half field angle is HFOV=70 (degrees). In Table 49, the seven lenses are indicated as lenses 1-7 in order from the object side.

[0547] In this embodiment, the object distance from the object to the first lens is infinite.

[0548] Table 49

[0549]

[0550] Table 50 is a table showing the conic constants and aspheric coefficients of each surface of each lens in Example 25.

[0551] Table 50

[0552]

[0553] Fig.98 This is a diagram showing spherical aberration. Fig.98The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Fig.98 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Fig.98 In the figure, the solid line represents light with a wavelength of 587.5618 nanometers, the one-dot-dashed line represents light with a wavelength of 486.1327 nanometers, and the two-dot-dashed line represents light with a wavelength of 656.2725 nanometers.

[0554] Fig.99 This is a diagram showing astigmatism of light having a wavelength of 587.5618 nanometers. Fig.99 The horizontal axis represents the position of the focus in the optical axis direction. Fig.99 The vertical axis represents the angle of the light relative to the optical axis. Fig.99 The solid line represents the sagittal plane. Fig.99 The dotted line represents the tangent plane.

[0555] Fig.100 This is a diagram showing the distortion of light having a wavelength of 587.5618 nanometers. Fig.100 The horizontal axis represents the distortion in percentage. Fig.100 The vertical axis represents the angle of the light relative to the optical axis.

[0556] Embodiment 26

[0557] Fig.101 2601 is an aspheric lens having a curvature radius of both surfaces that is infinite in the paraxial region and having optical power in the peripheral portion. The second lens 2602 is a negative meniscus lens that is convex on the image side. The third lens 2603 is a double convex lens. The fourth lens 2604 is a positive meniscus lens that is convex on the image side. The fifth lens 2606 is a negative meniscus lens that is convex on the object side. The aperture stop 5 is located between the second lens 2602 and the third lens 2603.

[0558] Table 51 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Example 26. The focal length f of the entire photographing optical system is f=1.68, the aperture value Fno is Fno=2, and the HFOV indicating the half field angle is HFOV=60 (degrees). In Table 51, the five lenses are indicated as lenses 1-5 in order from the object side.

[0559] In this embodiment, the object distance from the object to the first lens is infinite.

[0560] Table 51

[0561]

[0562] Table 52 is a table showing the conic constants and aspheric coefficients of each surface of each lens in Example 26.

[0563] Table 52

[0564]

[0565] Fig.102 This is a diagram showing spherical aberration. Fig.102 The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Fig.102 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Fig.102 In the figure, the solid line represents light with a wavelength of 587.5618 nanometers, the one-dot-dashed line represents light with a wavelength of 486.1327 nanometers, and the two-dot-dashed line represents light with a wavelength of 656.2725 nanometers.

[0566] Fig.103 This is a diagram showing astigmatism of light having a wavelength of 587.5618 nanometers. Fig.103 The horizontal axis represents the position of the focus in the optical axis direction. Fig.103 The vertical axis represents the image height. Fig.103 The solid line shows the sagittal plane. Fig.103 The dotted line represents the tangent plane.

[0567] Fig.104 This is a diagram showing the distortion of light having a wavelength of 587.5618 nanometers. Fig.104 The horizontal axis represents the distortion in percentage. Fig.104 The vertical axis represents the image height.

[0568] Embodiment 27

[0569] Fig.105 2701 is a diagram showing the structure of the shooting optical system of Example 27. The shooting optical system includes five lenses arranged from the object side to the image side and an infrared cut filter 2706. The third lens 2703 is an aspheric lens having a curvature radius of both surfaces that is infinite in the paraxial region and having optical power in the peripheral portion. 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 that is convex on the object side. The aperture stop 3 is located between the first lens 2701 and the second lens 2702.

[0570] Table 53 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Example 26. The focal length f of the entire photographing optical system is f=1.593, the aperture value Fno is Fno=2, and the HFOV indicating the half field angle is HFOV=60 (degrees). In Table 53, the five lenses are indicated as lenses 1-5 in order from the object side.

[0571] In this embodiment, the object distance from the object to the first lens is infinite.

[0572] Table 53

[0573]

[0574] Table 54 is a table showing the conic constants and aspheric coefficients of each surface of each lens in Example 27.

[0575] Table 54

[0576]

[0577] Fig.106 This is a diagram showing spherical aberration. Fig.106 The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Fig.106 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Fig.106 In the figure, the solid line represents light with a wavelength of 587.5618 nanometers, the one-dot-dashed line represents light with a wavelength of 486.1327 nanometers, and the two-dot-dashed line represents light with a wavelength of 656.2725 nanometers.

[0578] Fig.107 This is a diagram showing astigmatism of light having a wavelength of 587.5618 nanometers. Fig.107 The horizontal axis represents the position of the focus in the optical axis direction. Fig.107 The vertical axis represents the angle of the light relative to the optical axis. Fig.107 The solid line represents the sagittal plane. Fig.107 The dotted line represents the tangent plane.

[0579] Fig.108 This is a diagram showing the distortion of light having a wavelength of 587.5618 nanometers. Fig.108 The horizontal axis represents the distortion in percentage. Fig.108 The vertical axis represents the angle of the light relative to the optical axis.

[0580] Embodiment 28

[0581] Fig.1092801 and 2805 are aspheric lenses whose curvature radii of both surfaces are infinite in the paraxial region and have optical power in the peripheral portion. The second lens 2802 is a positive meniscus lens that is convex on the image side. The third lens 2803 is a biconvex lens. The fourth lens 2804 is a negative meniscus lens that is convex on the image side. The aperture stop 5 is located between the second lens 2802 and the third lens 2803.

[0582] Table 55 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Example 28. The focal length f of the entire photographing optical system is f=1.686, the aperture value Fno is Fno=2.4, and the HFOV indicating the half field angle is HFOV=60 (degrees). In Table 55, the five lenses are indicated as lenses 1-5 in order from the object side.

[0583] In this embodiment, the object distance from the object to the first lens is infinite.

[0584] Table 55

[0585]

[0586] Table 56 is a table showing the conic constants and aspheric coefficients of each surface of each lens in Example 28.

[0587] Table 56

[0588]

[0589] Fig.110 This is a diagram showing spherical aberration. Fig.110 The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Fig.110 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Fig.110 In the figure, the solid line represents light with a wavelength of 587.5618 nanometers, the one-dot-dashed line represents light with a wavelength of 486.1327 nanometers, and the two-dot-dashed line represents light with a wavelength of 656.2725 nanometers.

[0590] Fig.111 This is a diagram showing astigmatism of light having a wavelength of 587.5618 nanometers. Fig.111 The horizontal axis represents the position of the focus in the optical axis direction. Fig.111 The vertical axis represents the angle of the light relative to the optical axis. Fig.111 The solid line shows the sagittal plane. Fig.111 The dotted line represents the tangent plane.

[0591] Fig.112 This is a diagram showing the distortion of light having a wavelength of 587.5618 nanometers. Fig.108 The horizontal axis represents the distortion in percentage. Fig.112 The vertical axis represents the angle of the light relative to the optical axis.

[0592] Embodiment 29

[0593] Fig.113 2901 is a diagram showing the structure of the shooting optical system of Example 29. The shooting optical system includes five lenses arranged from the object side to the image side and an infrared cut filter 2906. The second lens 2902, the fourth lens 2904, and the fifth lens 2905 are aspherical lenses whose curvature radii on both sides are infinite in the paraxial region and have optical power in the peripheral portion. The first lens 2901 is a negative meniscus lens that is convex on the object side. The third lens 2903 is a double convex lens. The aperture stop 5 is located between the second lens 2902 and the third lens 2903.

[0594] Table 57 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Example 29. The focal length f of the entire photographing optical system is f=1.344, the aperture value Fno is Fno=2.4, and the HFOV indicating the half field angle is HFOV=60 (degrees). In Table 57, the five lenses are indicated as lenses 1-5 in order from the object side.

[0595] In this embodiment, the object distance from the object to the first lens is infinite.

[0596] Table 57

[0597]

[0598] Table 58 is a table showing the conic constants and aspheric coefficients of each surface of each lens in Example 29.

[0599] Table 58

[0600]

[0601] Fig.114 This is a diagram showing spherical aberration. Fig.114 The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Fig.114 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Fig.114In the figure, the solid line represents light with a wavelength of 587.5618 nanometers, the one-dot-dashed line represents light with a wavelength of 486.1327 nanometers, and the two-dot-dashed line represents light with a wavelength of 656.2725 nanometers.

[0602] Fig.115 This is a diagram showing astigmatism of light having a wavelength of 587.5618 nanometers. Fig.115 The horizontal axis represents the position of the focus in the optical axis direction. Fig.115 The vertical axis represents the image height. Fig.115 The solid line represents the sagittal plane. Fig.115 The dotted line represents the tangent plane.

[0603] Fig.116 This is a diagram showing the distortion of light having a wavelength of 587.5618 nanometers. Fig.116 The horizontal axis represents the distortion in percentage. Fig.116 The vertical axis represents the image height.

[0604] Embodiment 30

[0605] Fig.117 30 is a diagram showing the structure of the photographing optical system of Example 30. The photographing optical system includes six lenses arranged from the object side to the image side and an infrared cut filter 3007. The second lens 3002, the fourth lens 3004, the fifth lens 3005 and the sixth lens 3006 are aspherical lenses whose curvature radii of both surfaces are infinite in the paraxial region and have optical power in the peripheral portion. The first lens 3001 is a negative meniscus lens that is convex on the object side. The third lens 3003 is a biconvex lens. The aperture stop 5 is located on the object side of the object side of the third lens 3003.

[0606] Table 59 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Example 30. The focal length f of the entire photographing optical system is f=1.358, the aperture value Fno is Fno=2.2, and the HFOV indicating the half field angle is HFOV=65 (degrees). In Table 59, the six lenses are indicated as lenses 1-6 in order from the object side.

[0607] In this embodiment, the object distance from the object to the first lens is infinite.

[0608] Table 59

[0609]

[0610] Table 60 is a table showing the conic constants and aspheric coefficients of each surface of each lens in Example 30.

[0611] Table 60

[0612]

[0613] Fig.118 This is a diagram showing spherical aberration. Fig.118 The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Fig.118 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Fig.118 In the figure, the solid line represents light with a wavelength of 587.5618 nanometers, the one-dot-dashed line represents light with a wavelength of 486.1327 nanometers, and the two-dot-dashed line represents light with a wavelength of 656.2725 nanometers.

[0614] Fig.119 This is a diagram showing astigmatism of light having a wavelength of 587.5618 nanometers. Fig.119 The horizontal axis represents the position of the focus in the optical axis direction. Fig.119 The vertical axis represents the image height. Fig.119 The solid line shows the sagittal plane. Fig.119 The dotted line represents the tangent plane.

[0615] Fig.120 This is a diagram showing the distortion of light having a wavelength of 587.5618 nanometers. Fig.120 The horizontal axis represents the distortion in percentage. Fig.120 The vertical axis represents the image height.

[0616] Features of embodiments of the present invention

[0617] Tables 61 to 66 are tables showing the features of the embodiments. In the tables, n, NAT, f, and HFOV respectively represent the number of all lenses, the number of aspheric lenses whose curvature radii on both surfaces are infinite in the paraxial region and have optical focal length in the peripheral portion, the focal length of the entire optical system, and the angle of half the field of view angle (half field of view angle). In the NAT column of the table, for example, "2(L1, L4)" means that there are two aspheric lenses whose curvature radii on both surfaces are infinite in the paraxial region and have optical focal length in the peripheral portion, which are the first lens and the fourth lens. i is an integer from 1 to n, and "fi" represents the focal length of the i-th lens (i-th lens) from the object side of the shooting optical system. "Distortion image height 90%" represents the distortion at the position where the image height is 90% of the maximum value. "Item" represents item

[0618] The value of .

[0619] Table 61

[0620]

[0621] Table 62

[0622]

[0623] Table 63

[0624]

[0625] Table 64

[0626]

[0627] Table 65

[0628]

[0629] Table 66

[0630]

[0631] Here, the power of an aspheric lens having infinite curvature radius on both surfaces in the paraxial region and having power in the peripheral portion is described. In formula (1) representing each lens surface, R=∞, so formula (1) is as follows when expressed by terms up to the fourth degree of r.

[0632] z=A4r 4 (1)′

[0633] When the coordinates of the point where the light passes through the lens surface are (z, r) and h represents the distance from the optical axis to the point where z=r, the point where z=r becomes h=r. From equation (1)', the following equation holds.

[0634] h=A4h 4

[0635]

[0636] Here, if the surface shape from the optical axis to the point z = r is approximated as a sphere, the radius is z = r. Therefore, the optical power (refractive power) of both surfaces can be obtained from the radius (radius of curvature) of the approximated spherical surface.

[0637] Generally speaking, the focal length of a lens It can be obtained by the following formula.

[0638]

[0639] If equation (2) is substituted into equation (3), the optical power of an aspheric lens whose curvature radius of both surfaces is infinite in the paraxial region and has optical power in the peripheral portion is It is expressed by the following formula.

[0640]

[0641] The symbols in the above formulas (3) and (4) are as follows.

[0642] N: refractive index of the lens

[0643] d: The distance between the object side and the image side on the optical axis

[0644] r a : The radius of curvature of the object side of the lens

[0645] r b : The radius of curvature of the image side of the lens

[0646] A 4a : The fourth-order aspheric coefficient of formula (1) on the object side of the lens

[0647] A 4b : The fourth-order aspheric coefficient of formula (1) on the image side of the lens

[0648] That is, the power of the peripheral portion of an aspheric lens whose curvature radius of both surfaces is infinite in the paraxial region is For each surface, z represents the coordinate in the direction of the optical axis based on the intersection with the optical axis, and r represents the distance from the optical axis. The shape of the surface is obtained from the equation up to the fourth-order term of r in equation (1). z = r is obtained from the surface shape. When the surface shape is approximated by a spherical surface including z = 0 and z = r, it can be obtained from the radius (z) (radius of curvature) of the two surfaces. The refractive power of the tertiary aberration region in the peripheral portion of an aspherical lens in which the radius of curvature of both surfaces is infinite in the paraxial region and which has refractive power in the peripheral portion is referred to as the refractive power.

[0649] Table 67 shows the focal power of the peripheral portion of the aspheric lens having infinite radius of curvature of both surfaces in the paraxial region and having focal power in the peripheral portion, as represented by formula (4) in each embodiment. The value of is divided by the reciprocal of the focal length of the optical system (1 / f) and normalized For example, in the row representing Example 1 of Table 67, L1 and L4 represent aspheric lenses whose two surfaces are infinite in the paraxial region and have optical power in the peripheral portion, namely, the first lens and the fourth lens.

[0650] Table 67

[0651]

[0652] The absolute value of The value of needs to be at least greater than 0.0007. In this case, it is also necessary to use the coefficients of the sixth-order terms of r in equation (1) to control the aberration. However, if the absolute value When the value of is 0.007 or more, the coefficient of the fourth-order term of r is mainly used to control the aberration.

[0653] According to Tables 61-66, all embodiments of the present invention have the following features.

[0654] The shooting optical system has three to seven lenses. An aperture stop exists in the shooting optical system. The shooting optical system includes one to four aspheric lenses, and the curvature radius of both surfaces of the aspheric lens is infinite in the paraxial region and has optical focal length in the peripheral portion. The first lens is a negative lens or an aspheric lens with a curvature radius of both surfaces being infinite in the paraxial region and having negative optical focal length in the peripheral portion, and the image side lens adjacent to the aperture stop is a positive lens. The shooting optical system includes two or more lenses that are not aspheric lenses with a curvature radius of both surfaces being infinite in the paraxial region and having optical focal length in the peripheral portion. The half field angle of the shooting optical system is greater than 40 degrees and less than 80 degrees. The shooting optical system satisfies the following relationship.

[0655]

[0656] In addition, according to Figure 1 In the light path diagram, the light beam that is incident on the shooting optical system and reaches the maximum image height (hereinafter also referred to as the off-axis light beam) and the light beam whose main line is incident on the shooting optical system and is parallel to the optical axis (hereinafter also referred to as the on-axis light beam) do not intersect in the first lens.

[0657] Examples 1-7, 21-25 and 28-30 also have the following features.

[0658] The number of lenses in the shooting optical system is four to seven. The aperture stop exists between the second lens and the fourth lens. The shooting optical system includes at least one aspherical lens at a position closer to the object side than the aperture stop and at a position closer to the image side than the aperture stop, respectively. The radius of curvature of both surfaces of the aspherical lens is infinite in the paraxial region and has optical focal length in the peripheral portion. In addition, when the aperture stop is located closer to the image side than the image side of the lens, the lens is located closer to the object side than the aperture stop, and when the aperture stop is located closer to the object side than the object side of the lens, the lens is located closer to the image side than the aperture stop. The first lens and / or the second lens is an aspherical lens whose radius of curvature of both surfaces is infinite in the paraxial region and has optical focal length in the peripheral portion. The lens closest to the image side is an aspherical lens whose radius of curvature of both surfaces is infinite in the paraxial region and has optical focal length in the peripheral portion. The shooting optical system satisfies the following relationship.

[0659]

[0660] The off-axis beam and the on-axis beam do not intersect in the lens closest to the image side.

[0661] Here, the aberration coefficient of the lens surface is generally described. The value of the aberration coefficient of the optical system is given in the form of the algebraic sum of the aberration coefficients of each surface constituting the optical system. In the case of an aspheric lens whose radius of curvature of both surfaces is infinite in the paraxial region and has optical power in the peripheral portion, the curvature of the center of the lens surface is zero, so the aberration coefficients of spherical aberration, image curvature and distortion of the lens surface can be expressed by the following approximate formula with only the aspheric coefficient as a variable (Kichiya Matsui, Lens Design Method, Kyoritsu Publishing, page 87, etc.).

[0662] Spherical aberration

[0663] A·A4·h 4

[0664] Image curvature

[0665]

[0666] distortion

[0667]

[0668] Here, A represents a number determined only by the refractive index and a constant, A4 represents the aspheric coefficient of the fourth-order term of r in formula (1) showing the lens surface, and h represents the height of the axial light passing through the surface.

[0669] Represents the height at which off-axis rays pass through the surface.

[0670] Thus, the aberration is expressed by the aspheric coefficient A4 of the fourth-order term of r in the formula (1) representing the lens surface, which means that the aberration can be expressed by the focal power of the peripheral portion of the aspheric lens having infinite curvature radii on both surfaces in the paraxial region and having focal power in the peripheral portion represented by the formula (4). Make corrections.

[0671] The sign of h is positive, The sign of is negative when the surface is located on the object side of the aperture stop, and is positive when the surface is located on the image side of the aperture stop. In this case, the sign of the image height is positive.

[0672] Therefore, considering the value of h and The value of , and the aspheric lens whose curvature radius of both surfaces is infinite in the paraxial region and has optical focal length in the peripheral portion is arranged at an appropriate position in the shooting optical system. By appropriately determining A4 of the lens surface, the aberration of the optical system can be reduced without using multiple lenses with large optical focal length in the paraxial region.

[0673] The design principles of the photographic optical system of the present invention are as follows. First, a lens with large focal power in the paraxial region is arranged at a position where h is relatively large, and the focal length and other values ​​related to the paraxial region are determined, and spherical aberration is corrected by an aspherical surface. Second, at a position where h is relatively small,

[0674] An aspherical lens having an infinite radius of curvature on both surfaces in the paraxial region and having optical power in the peripheral portion is arranged at a position where the absolute value of is relatively large to correct field curvature and distortion.

[0675] When the curvature radius of both surfaces is infinite in the paraxial region and the aspherical lens having optical power in the peripheral portion is located on the image side of the aperture stop, h and

[0676] The signs of h and h are the same, so both field curvature and distortion can be corrected simultaneously. However, when the curvature radius of both surfaces is infinite in the paraxial region and the aspherical lens having optical power in the peripheral portion is located closer to the object side than the aperture stop, h and have different signs, so it is impossible to correct image curvature and distortion at the same time.

[0677] In fact, in Examples 1 to 7, Examples 21 to 25, and Examples 28 to 30, the off-axis light beam does not intersect the on-axis light beam in the first lens closest to the object side and the lens closest to the image side, and the first lens and / or the second lens and the lens closest to the image side are aspheric lenses whose radius of curvature on both surfaces is infinite in the paraxial region and has optical power in the peripheral portion. The aspheric lens whose radius of curvature on both surfaces is infinite in the paraxial region and has optical power in the peripheral portion is arranged at a position closer to the object side than the aperture stop. This is to suppress the lens diameter and the total length of the shooting optical system with a particularly large field angle. In this case, the off-axis aberration generated in the lens closer to the object side than the aperture stop can be effectively corrected by the aspheric lens whose radius of curvature on both surfaces is infinite in the paraxial region and has optical power in the peripheral portion, which is arranged at a position closer to the image side than the aperture stop.

[0678] In other embodiments, an aspherical lens having infinite curvature radii on both surfaces in the paraxial region and having optical power in the peripheral portion is arranged at a position where the off-axis beam does not intersect or overlaps the on-axis beam.

[0679] Usually, if the shooting optical system is not used for measurement purposes such as measuring equipment, the distortion that does not directly affect the resolution is not corrected to zero but retained as a negative amount for correction, which is beneficial for correcting other aberrations related to the resolution. In addition, even if the aperture efficiency is large, according to the fourth power cosine law, the illumination ratio around the image plane is reduced, especially when the field of view angle becomes larger, the illumination ratio is significantly reduced. However, if there is negative distortion, it has the advantage of alleviating the reduction in the illumination ratio. In addition, regarding distortion, image processing technology for correcting the distortion of the shooting optical system can also be used. The distortion of the above-mentioned embodiment is in the range of -10% to -40% at the position where the image height is 90% of the maximum value.

[0680] According to the present invention, by appropriately utilizing an aspheric lens whose curvature radius of both surfaces is infinite in the paraxial region and has optical power in the peripheral portion, it is possible to efficiently correct axial aberration and off-axial aberration respectively. In addition, the present invention is particularly advantageous for use in a photographic optical system with a large field of view.

[0681] Next, examples 31 to 53 of a photographing optical system are described in which the curvature radius of both surfaces is infinite in the paraxial region and the number of aspheric lenses having optical power in the peripheral portion is one.

[0682] Embodiment 31

[0683] Example 31 is the same as Example 8.

[0684] Embodiment 32

[0685] Fig.121 32 is a diagram showing the structure of the shooting optical system of Example 32. The shooting optical system includes three lenses arranged from the object side to the image side. The first lens 3201 is an aspheric lens whose curvature radius of both surfaces is infinite in the paraxial region and has optical power in the peripheral portion. The second lens 3202 is a biconcave lens. The third lens 3203 is a biconvex lens. The aperture stop 6 is located between the second lens 3202 and the third lens 3203.

[0686] Table 68 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Example 32. The focal length f of the entire photographing optical system is f=0.3750421, the aperture value Fno is Fno=3.225, and the HFOV indicating the half field angle is HFOV=50 (degrees). In Table 68, the three lenses are represented as lenses 1-3 in order from the object side.

[0687] In this embodiment, the object distance from the object to the first lens is 7.000 (=6.900+0.100) mm. Surface 1 has no physical meaning.

[0688] Table 68

[0689]

[0690] Table 69 is a table showing the conic constants and aspheric coefficients of each surface of each lens in Example 32.

[0691] Table 69

[0692]

[0693] Fig.122 This is a diagram showing spherical aberration. Fig.122 The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Fig.122 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Fig.122 In the figure, the solid line represents light with a wavelength of 0.580 micrometers, the one-dot chain line represents light with a wavelength of 0.460 micrometers, and the two-dot chain line represents light with a wavelength of 0.680 micrometers.

[0694] Fig.123 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers. Fig.123 The horizontal axis represents the position of the focus in the optical axis direction. Fig.123 The vertical axis represents the image height. Fig.123 The solid line represents the sagittal plane. Fig.123 The dotted line represents the tangent plane.

[0695] Fig.124 This is a diagram showing the distortion of light having a wavelength of 0.580 micrometers. Fig.124 The horizontal axis represents the distortion in percentage. Fig.124 The vertical axis represents the image height.

[0696] Embodiment 33

[0697] Example 33 is the same as Example 10.

[0698] Embodiment 34

[0699] Fig.125 34 is a diagram showing the structure of the shooting optical system of Example 34. The shooting optical system includes four lenses arranged from the object side to the image side. The first lens 3401 is a double concave lens, and the second lens 3402 is a double convex lens. The third lens 3403 is an aspheric lens whose radius of curvature of both surfaces is infinite in the paraxial region and has optical power in the peripheral portion. The fourth lens 3404 is a positive meniscus lens that is convex on the object side. The aperture stop 4 is located between the first lens 3401 and the second lens 3402.

[0700] Table 70 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Example 34. The focal length f of the entire photographing optical system is f=0.259452, the aperture value Fno is Fno=3.34357, and the HFOV indicating the half field angle is HFOV=50 (degrees). In Table 70, the four lenses are indicated as lenses 1-4 in order from the object side.

[0701] In this embodiment, the object distance from the object to the first lens is 5.242 (=5.142+0.100) mm. Surface 1 has no physical meaning.

[0702] Table 70

[0703]

[0704] Table 71 is a table showing the conic constants and aspheric coefficients of each surface of each lens in Example 34.

[0705] Table 71

[0706]

[0707] Fig.126 This is a diagram showing spherical aberration. Fig.126 The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Fig.126 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Fig.126 In the figure, the solid line represents light with a wavelength of 0.580 micrometers, the one-dot chain line represents light with a wavelength of 0.460 micrometers, and the two-dot chain line represents light with a wavelength of 0.680 micrometers.

[0708] Fig.127 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers. Fig.127 The horizontal axis represents the position of the focus in the optical axis direction. Fig.127 The vertical axis represents the image height. Fig.127 The solid line represents the sagittal plane. Fig.127 The dotted line represents the tangent plane.

[0709] Fig.128 This is a diagram showing the distortion of light having a wavelength of 0.580 micrometers. Fig.127 The horizontal axis represents the distortion in percentage. Fig.127 The vertical axis represents the image height.

[0710] Embodiment 35

[0711] Fig.12935 is a diagram showing the structure of the shooting optical system of Example 35. The shooting optical system includes four lenses arranged from the object side to the image side. The first lens 3501 is a double concave lens, and the second lens 3502 is a double convex lens. The third lens 3503 is an aspheric lens whose radius of curvature of both surfaces is infinite in the paraxial region and has optical power in the peripheral portion. The fourth lens 3504 is a negative meniscus lens that is convex on the image side. The aperture stop 4 is located between the first lens 3501 and the second lens 3502.

[0712] Table 72 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Example 35. The focal length f of the entire photographing optical system is f=0.282849, the aperture value Fno is Fno=3.37755, and the HFOV indicating the half field angle is HFOV=50 (degrees). In Table 72, the four lenses are indicated as lenses 1-4 in order from the object side.

[0713] In this embodiment, the object distance from the object to the first lens is 5.242 (=5.142+0.100) mm. Surface 1 has no physical meaning.

[0714] Table 72

[0715]

[0716] Table 73 is a table showing the conic constants and aspheric coefficients of each surface of each lens in Example 35.

[0717] Table 73

[0718]

[0719] Fig.130 This is a diagram showing spherical aberration. Fig.130 The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Fig.130 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Fig.130 In the figure, the solid line represents light with a wavelength of 0.580 micrometers, the one-dot chain line represents light with a wavelength of 0.460 micrometers, and the two-dot chain line represents light with a wavelength of 0.680 micrometers.

[0720] Fig.131 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers. Fig.131 The horizontal axis represents the position of the focus in the optical axis direction. Fig.131 The vertical axis represents the image height. Fig.131 The solid line represents the sagittal plane. Fig.131 The dotted line represents the tangent plane.

[0721] Fig.132 This is a diagram showing the distortion of light having a wavelength of 0.580 micrometers. Fig.132 The horizontal axis represents the distortion in percentage. Fig.132 The vertical axis represents the image height.

[0722] Embodiment 36

[0723] Fig.133 36 is a diagram showing the structure of the shooting optical system of Example 36. The shooting optical system includes four lenses arranged from the object side to the image side. The first lens 3601 is a negative meniscus lens that is convex on the object side. The second lens 3602 and the third lens 3603 are double convex lenses. The fourth lens 3604 is an aspheric lens whose radius of curvature of both surfaces is infinite in the paraxial region and has optical power in the peripheral portion. The aperture stop 4 is located between the first lens 3601 and the second lens 3602.

[0724] Table 74 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Example 36. The focal length f of the entire photographing optical system is f=0.2877389, the aperture value Fno is Fno=3.31144, and the HFOV indicating the half field angle is HFOV=50 (degrees). In Table 74, the four lenses are indicated as lenses 1-4 in order from the object side.

[0725] In this embodiment, the object distance from the object to the first lens is 5.242 (=5.142+0.100) mm. Surface 1 has no physical meaning.

[0726] Table 74

[0727]

[0728] Table 75 is a table showing the cone constants and aspheric coefficients of each surface of each lens in Example 36.

[0729] Table 75

[0730]

[0731] Fig.134 This is a diagram showing spherical aberration. Fig.134 The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Fig.134 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Fig.134 In the figure, the solid line represents light with a wavelength of 0.580 micrometers, the one-dot chain line represents light with a wavelength of 0.460 micrometers, and the two-dot chain line represents light with a wavelength of 0.680 micrometers.

[0732] Fig.135 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers. Fig.135 The horizontal axis represents the position of the focus in the optical axis direction. Fig.135 The vertical axis represents the image height. Fig.135 The solid line represents the sagittal plane. Fig.135 The dotted line represents the tangent plane.

[0733] Fig.136 This is a diagram showing the distortion of light having a wavelength of 0.580 micrometers. Fig.136 The horizontal axis represents the distortion in percentage. Fig.136 The vertical axis represents the image height.

[0734] Embodiment 37

[0735] Fig.137 37 is a diagram showing the structure of the shooting optical system of Example 37. The shooting optical system includes four lenses arranged from the object side to the image side. The first lens 3701 is a negative meniscus lens that is convex on the object side. The second lens 3702 is a double convex lens. The third lens 3703 is a negative meniscus lens that is convex on the image side. The fourth lens 3704 is an aspheric lens whose radius of curvature of both surfaces is infinite in the paraxial region and has optical power in the peripheral portion. The aperture stop 4 is located between the first lens 3701 and the second lens 3702.

[0736] Table 76 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Example 37. The focal length f of the entire photographing optical system is f=0.284528, the aperture value Fno is Fno=2.82731, and the HFOV indicating the half field angle is HFOV=50 (degrees). In Table 76, the four lenses are indicated as lenses 1-4 in order from the object side.

[0737] In this embodiment, the object distance from the object to the first lens is 5.392 (=5.142+0.250) mm. Surface 1 has no physical meaning.

[0738] Table 76

[0739]

[0740] Table 77 is a table showing the conic constants and aspheric coefficients of each surface of each lens in Example 37.

[0741] Table 77

[0742]

[0743] Fig.138 This is a diagram showing spherical aberration. Fig.138The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Fig.138 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Fig.138 In the figure, the solid line represents light with a wavelength of 0.580 micrometers, the one-dot chain line represents light with a wavelength of 0.460 micrometers, and the two-dot chain line represents light with a wavelength of 0.680 micrometers.

[0744] Fig.139 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers. Fig.139 The horizontal axis represents the position of the focus in the optical axis direction. Fig.139 The vertical axis represents the image height. Fig.139 The solid line shows the sagittal plane. Fig.139 The dotted line represents the tangent plane.

[0745] Fig.140 This is a diagram showing the distortion of light having a wavelength of 0.580 micrometers. Fig.140 The horizontal axis represents the distortion in percentage. Fig.140 The vertical axis represents the image height.

[0746] Embodiment 38

[0747] Example 38 is the same as Example 11.

[0748] Embodiment 39

[0749] Fig.141 39 is a diagram showing the structure of the shooting optical system of Example 39. The shooting optical system includes four lenses arranged from the object side to the image side. The first lens 3901 is an aspheric lens whose radius of curvature of both surfaces is infinite in the paraxial region and has optical power in the peripheral portion. The second lens 3902 is a positive meniscus lens that is convex on the object side. The third lens 3903 is a biconvex lens. The fourth lens 3904 is a biconcave lens. The aperture stop 6 is located between the second lens 3902 and the third lens 3903.

[0750] Table 78 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Example 39. The focal length f of the entire photographing optical system is f=0.269372, the aperture value Fno is Fno=3.05596, and the HFOV indicating the half field angle is HFOV=50 (degrees). In Table 78, the four lenses are indicated as lenses 1-4 in order from the object side.

[0751] In this embodiment, the object distance from the object to the first lens is 5.242 (=5.142+0.100) mm. Surface 1 has no physical meaning.

[0752] Table 78

[0753]

[0754] Table 79 is a table showing the conic constants and aspheric coefficients of each surface of each lens in Example 39.

[0755] Table 79

[0756]

[0757] Fig.142 This is a diagram showing spherical aberration. Fig.142 The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Fig.142 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Fig.142 In the figure, the solid line represents light with a wavelength of 0.580 micrometers, the one-dot chain line represents light with a wavelength of 0.460 micrometers, and the two-dot chain line represents light with a wavelength of 0.680 micrometers.

[0758] Fig.143 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers. Fig.143 The horizontal axis represents the position of the focus in the optical axis direction. Fig.143 The vertical axis represents the image height. Fig.143 The solid line represents the sagittal plane. Fig.143 The dotted line represents the tangent plane.

[0759] Fig.144 This is a diagram showing the distortion of light having a wavelength of 0.580 micrometers. Fig.144 The horizontal axis represents the distortion in percentage. Fig.144 The vertical axis represents the image height.

[0760] Embodiment 40

[0761] Fig.145 : is a diagram showing the structure of the shooting optical system of Example 40. The shooting optical system includes four lenses arranged from the object side to the image side. The first lens 4001 is an aspheric lens whose radius of curvature of both surfaces is infinite in the paraxial region and has optical power in the peripheral portion. The second lens 4002 is a negative meniscus lens that is convex on the image side. The third lens 4003 is a double convex lens. The fourth lens 4004 is a positive meniscus lens that is convex on the object side. The aperture stop 6 is located between the second lens 4002 and the third lens 4003.

[0762] Table 80 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Example 40. The focal length f of the entire photographing optical system is f=0.277017, the aperture value Fno is Fno=2.97364, and the HFOV indicating the half field angle is HFOV=50 (degrees). In Table 80, the four lenses are indicated as lenses 1-4 in order from the object side.

[0763] In this embodiment, the object distance from the object to the first lens is 5.242 (=5.142+0.100) mm. Surface 1 has no physical meaning.

[0764] Table 80

[0765]

[0766] Table 81 is a table showing the conic constants and aspheric coefficients of each surface of each lens in Example 40.

[0767] Table 81

[0768]

[0769] Fig.146 This is a diagram showing spherical aberration. Fig.146 The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Fig.146 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Fig.146 In the figure, the solid line represents light with a wavelength of 0.580 micrometers, the one-dot chain line represents light with a wavelength of 0.460 micrometers, and the two-dot chain line represents light with a wavelength of 0.680 micrometers.

[0770] Fig.147 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers. Fig.147 The horizontal axis represents the position of the focus in the optical axis direction. Fig.147 The vertical axis represents the image height. Fig.147 The solid line represents the sagittal plane. Fig.147 The dotted line represents the tangent plane.

[0771] Fig.148 This is a diagram showing the distortion of light having a wavelength of 0.580 micrometers. Fig.148 The horizontal axis represents the distortion in percentage. Fig.148 The vertical axis represents the image height.

[0772] Embodiment 41

[0773] Fig.14941 is a diagram showing the structure of the shooting optical system of Example 41. The shooting optical system includes four lenses arranged from the object side to the image side. The first lens 4101 is an aspheric lens whose radius of curvature of both surfaces is infinite in the paraxial region and has optical power in the peripheral portion. The second lens 4102 is a double concave lens. The third lens 4103 is a double convex lens. The fourth lens 4104 is a negative meniscus lens that is convex on the object side. The aperture stop 6 is located between the second lens 4102 and the third lens 4103.

[0774] Table 82 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Example 41. The focal length f of the entire photographing optical system is f=0.305229, the aperture value Fno is Fno=2.99459, and the HFOV indicating the half field angle is HFOV=50 (degrees). In Table 82, the four lenses are indicated as lenses 1-4 in order from the object side.

[0775] In this embodiment, the object distance from the object to the first lens is 5.242 (=5.142+0.100) mm. Surface 1 has no physical meaning.

[0776] Table 82

[0777]

[0778] Table 83 is a table showing the conic constants and aspheric coefficients of each surface of each lens in Example 41.

[0779] Table 83

[0780]

[0781] Fig.150 This is a diagram showing spherical aberration. Fig.150 The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Fig.150 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Fig.150 In the figure, the solid line represents light with a wavelength of 0.580 micrometers, the one-dot chain line represents light with a wavelength of 0.460 micrometers, and the two-dot chain line represents light with a wavelength of 0.680 micrometers.

[0782] Fig.151 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers. Fig.151 The horizontal axis represents the position of the focus in the optical axis direction. Fig.151 The vertical axis represents the image height. Fig.151 The solid line represents the sagittal plane. Fig.151 The dotted line represents the tangent plane.

[0783] Fig.152 This is a diagram showing the distortion of light having a wavelength of 0.580 micrometers. Fig.152 The horizontal axis represents the distortion in percentage. Fig.152 The vertical axis represents the image height.

[0784] Embodiment 42

[0785] Example 42 is the same as Example 14.

[0786] Embodiment 43

[0787] Fig.153 : is a diagram showing the structure of the shooting optical system of Example 43. The shooting optical system includes four lenses arranged from the object side to the image side. The first lens 4301 is a negative meniscus lens that is convex on the object side. The second lens 4302 is a negative meniscus lens that is convex on the image side. The third lens 4303 is a double convex lens. The fourth lens 4304 is an aspheric lens whose radius of curvature of both surfaces is infinite in the paraxial region and has optical focal length in the peripheral portion. The aperture stop 6 is located between the second lens 4302 and the third lens 4303.

[0788] Table 84 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Example 43. The focal length f of the entire photographing optical system is f=0.18114, the aperture value Fno is Fno=2.88205, and the HFOV indicating the half field angle is HFOV=50 (degrees). In Table 84, the four lenses are indicated as lenses 1-4 in order from the object side.

[0789] In this embodiment, the object distance from the object to the first lens is 5.242 (=5.142+0.100) mm. Surface 1 has no physical meaning.

[0790] Table 84

[0791]

[0792] Table 85 is a table showing the cone constants and aspheric coefficients of each surface of each lens in Example 43.

[0793] Table 85

[0794]

[0795] Fig.154 This is a diagram showing spherical aberration. Fig.154 The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Fig.154 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Fig.154 In the figure, the solid line represents light with a wavelength of 0.580 micrometers, the one-dot chain line represents light with a wavelength of 0.460 micrometers, and the two-dot chain line represents light with a wavelength of 0.680 micrometers.

[0796] Fig.155 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers. Fig.155 The horizontal axis represents the position of the focus in the optical axis direction. Fig.155 The vertical axis represents the image height. Fig.155 The solid line shows the sagittal plane. Fig.155 The dotted line represents the tangent plane.

[0797] Fig.156 This is a diagram showing the distortion of light having a wavelength of 0.580 micrometers. Fig.156 The horizontal axis represents the distortion in percentage. Fig.156 The vertical axis represents the image height.

[0798] Embodiment 44

[0799] Fig.157 44 is a diagram showing the structure of the photographing optical system of Example 44. The photographing optical system includes four lenses arranged from the object side to the image side. The first lens 4401 is a negative meniscus lens that is convex on the object side. The second lens 4402 is an aspheric lens whose radius of curvature of both surfaces is infinite in the paraxial region and has optical power in the peripheral portion. The third lens 4403 and the fourth lens 4404 are double convex lenses. The aperture stop 8 is located between the third lens 4403 and the fourth lens 4404.

[0800] Table 86 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Example 44. The focal length f of the entire photographing optical system is f=0.216924, the aperture value Fno is Fno=2.88715, and the HFOV indicating the half field angle is HFOV=50 (degrees). In Table 86, the four lenses are indicated as lenses 1-4 in order from the object side.

[0801] In this embodiment, the object distance from the object to the first lens is 5.242 (=5.142+0.100) mm. Surface 1 has no physical meaning.

[0802] Table 86

[0803]

[0804] Table 87 is a table showing the conic constants and aspheric coefficients of each surface of each lens in Example 44.

[0805] Table 87

[0806]

[0807] Fig.158 This is a diagram showing spherical aberration. Fig.158 The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Fig.158 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Fig.158 In the figure, the solid line represents light with a wavelength of 0.580 micrometers, the one-dot chain line represents light with a wavelength of 0.460 micrometers, and the two-dot chain line represents light with a wavelength of 0.680 micrometers.

[0808] Fig.159 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers. Fig.159 The horizontal axis represents the position of the focus in the optical axis direction. Fig.159 The vertical axis represents the image height. Fig.159 The solid line shows the sagittal plane. Fig.159 The dotted line represents the tangent plane.

[0809] Fig.160 This is a diagram showing the distortion of light having a wavelength of 0.580 micrometers. Fig.160 The horizontal axis represents the distortion in percentage. Fig.160 The vertical axis represents the image height.

[0810] Embodiment 45

[0811] Fig.161 45 is a diagram showing the structure of the photographing optical system of Example 45. The photographing optical system includes four lenses arranged from the object side to the image side. The first lens 4501 is a negative meniscus lens that is convex on the object side. The second lens 4502 is an aspheric lens whose radius of curvature of both surfaces is infinite in the paraxial region and has optical power in the peripheral portion. The third lens 4503 and the fourth lens 4504 are double convex lenses. The aperture stop 8 is located between the third lens 4503 and the fourth lens 4504.

[0812] Table 88 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Example 45. The focal length f of the entire photographing optical system is f=0.310707, the aperture value Fno is Fno=2.92234, and the HFOV indicating the half field angle is HFOV=50 (degrees). In Table 88, the four lenses are indicated as lenses 1-4 in order from the object side.

[0813] In this embodiment, the object distance from the object to the first lens is 5.242 (=5.142+0.100) mm. Surface 1 has no physical meaning.

[0814] Table 88

[0815]

[0816] Table 89 is a table showing the conic constants and aspheric coefficients of each surface of each lens in Example 45.

[0817] Table 89

[0818]

[0819] Fig.162 This is a diagram showing spherical aberration. Fig.162 The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Fig.162 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Fig.162 In the figure, the solid line represents light with a wavelength of 0.580 micrometers, the one-dot chain line represents light with a wavelength of 0.460 micrometers, and the two-dot chain line represents light with a wavelength of 0.680 micrometers.

[0820] Fig.163 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers. Fig.163 The horizontal axis represents the position of the focus in the optical axis direction. Fig.163 The vertical axis represents the image height. Fig.163 The solid line shows the sagittal plane. Fig.163 The dotted line represents the tangent plane.

[0821] Fig.164 This is a diagram showing the distortion of light having a wavelength of 0.580 micrometers. Fig.164 The horizontal axis represents the distortion in percentage. Fig.164 The vertical axis represents the image height.

[0822] Embodiment 46

[0823] Fig.165 46 is a diagram showing the structure of the photographing optical system of Example 46. The photographing optical system includes four lenses arranged from the object side to the image side. The first lens 4601 is an aspheric lens having infinite curvature radius on both sides in the paraxial region and having optical power in the peripheral portion. The second lens 4602, the third lens 4603 and the fourth lens 4604 are biconvex lenses. The aperture stop 8 is located between the third lens 4603 and the fourth lens 4604.

[0824] Table 90 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Example 46. The focal length f of the entire photographing optical system is f=0.316659, the aperture value Fno is Fno=3.03055, and the HFOV indicating the half field angle is HFOV=50 (degrees). In Table 90, the four lenses are indicated as lenses 1-4 in order from the object side.

[0825] In this embodiment, the object distance from the object to the first lens is 5.242 (=5.142+0.100) mm. Surface 1 has no physical meaning.

[0826] Table 90

[0827]

[0828] Table 91 is a table showing the conic constants and aspheric coefficients of each surface of each lens in Example 46.

[0829] Table 91

[0830]

[0831] Fig.166 This is a diagram showing spherical aberration. Fig.166 The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Fig.166 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Fig.166 In the figure, the solid line represents light with a wavelength of 0.580 micrometers, the one-dot chain line represents light with a wavelength of 0.460 micrometers, and the two-dot chain line represents light with a wavelength of 0.680 micrometers.

[0832] Fig.167 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers. Fig.167 The horizontal axis represents the position of the focus in the optical axis direction. Fig.167 The vertical axis represents the image height. Fig.167 The solid line shows the sagittal plane. Fig.167 The dotted line represents the tangent plane.

[0833] Fig.168 This is a diagram showing the distortion of light having a wavelength of 0.580 micrometers. Fig.168 The horizontal axis represents the distortion in percentage. Fig.168 The vertical axis represents the image height.

[0834] Embodiment 47

[0835] Fig.16947 is a diagram showing the structure of the photographing optical system of Example 47. The photographing optical system includes four lenses arranged from the object side to the image side. The first lens 4701 is an aspheric lens whose curvature radius of both surfaces is infinite in the paraxial region and has optical power in the peripheral portion. The second lens 4702 and the fourth lens 4704 are biconvex lenses. The third lens 4703 is a biconcave lens. The aperture stop 8 is located between the third lens 4703 and the fourth lens 4704.

[0836] Table 92 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Example 47. The focal length f of the entire photographing optical system is f=0.323688, the aperture value Fno is Fno=3.04922, and the HFOV indicating the half field angle is HFOV=50 (degrees). In Table 92, the four lenses are indicated as lenses 1-4 in order from the object side.

[0837] In this embodiment, the object distance from the object to the first lens is 5.242 (=5.142+0.100) mm. Surface 1 has no physical meaning.

[0838] Table 92

[0839]

[0840] Table 93 is a table showing the conic constants and aspheric coefficients of each surface of each lens in Example 47.

[0841] Table 93

[0842]

[0843] Fig.170 This is a diagram showing spherical aberration. Fig.170 The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Fig.170 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Fig.170 In the figure, the solid line represents light with a wavelength of 0.580 micrometers, the one-dot chain line represents light with a wavelength of 0.460 micrometers, and the two-dot chain line represents light with a wavelength of 0.680 micrometers.

[0844] Fig.171 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers. Fig.171 The horizontal axis represents the position of the focus in the optical axis direction. Fig.171 The vertical axis represents the image height. Fig.171 The solid line represents the sagittal plane. Fig.171 The dotted line represents the tangent plane.

[0845] Fig.172 This is a diagram showing the distortion of light having a wavelength of 0.580 micrometers. Fig.172 The horizontal axis represents the distortion in percentage. Fig.172 The vertical axis represents the image height.

[0846] Embodiment 48

[0847] Fig.173 48 is a diagram showing the structure of the photographing optical system of Example 48. The photographing optical system includes four lenses arranged from the object side to the image side. The first lens 4801 is an aspheric lens having a curvature radius of both surfaces that is infinite in the paraxial region and having optical power in the peripheral portion. The second lens 4802 is a biconcave lens. The third lens 4803 and the fourth lens 4804 are biconvex lenses. The aperture stop 8 is located between the third lens 4803 and the fourth lens 4804.

[0848] Table 94 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Example 48. The focal length f of the entire photographing optical system is f=0.30686, the aperture value Fno is Fno=3.02857, and the HFOV indicating the half field angle is HFOV=50 (degrees). In Table 94, the four lenses are indicated as lenses 1-4 in order from the object side.

[0849] In this embodiment, the object distance from the object to the first lens is 5.242 (=5.142+0.100) mm. Surface 1 has no physical meaning.

[0850] Table 94

[0851]

[0852] Table 95 is a table showing the conic constants and aspheric coefficients of each surface of each lens in Example 48.

[0853] Table 95

[0854]

[0855] Fig.174 This is a diagram showing spherical aberration. Fig.174 The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Fig.174 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Fig.174 In the figure, the solid line represents light with a wavelength of 0.580 micrometers, the one-dot chain line represents light with a wavelength of 0.460 micrometers, and the two-dot chain line represents light with a wavelength of 0.680 micrometers.

[0856] Fig.175This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers. Fig.175 The horizontal axis represents the position of the focus in the optical axis direction. Fig.175 The vertical axis represents the image height. Fig.175 The solid line shows the sagittal plane. Fig.175 The dotted line represents the tangent plane.

[0857] Fig.176 This is a diagram showing the distortion of light having a wavelength of 0.580 micrometers. Fig.176 The horizontal axis represents the distortion in percentage. Fig.176 The vertical axis represents the image height.

[0858] Embodiment 49

[0859] Fig.177 49. The photographing optical system includes four lenses arranged from the object side to the image side. The first lens 4901 is an aspheric lens having infinite radius of curvature on both sides in the paraxial region and having optical power in the peripheral portion. The second lens 4902 is a negative meniscus lens that is convex on the image side. The third lens 4903 is a biconcave lens, and the fourth lens 4904 is a biconvex lens. The aperture stop 8 is located between the third lens 4903 and the fourth lens 4904.

[0860] Table 96 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Example 49. The focal length f of the entire photographing optical system is f=0.293557, the aperture value Fno is Fno=2.96821, and the HFOV indicating the half field angle is HFOV=50 (degrees). In Table 96, the four lenses are indicated as lenses 1-4 in order from the object side.

[0861] In this embodiment, the object distance from the object to the first lens is 5.242 (=5.142+0.100) mm. Surface 1 has no physical meaning.

[0862] Table 96

[0863]

[0864] Table 97 is a table showing the conic constants and aspheric coefficients of each surface of each lens in Example 49.

[0865] Table 97

[0866]

[0867] Fig.178 This is a diagram showing spherical aberration. Fig.178 The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Fig.178 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Fig.178 In the figure, the solid line represents light with a wavelength of 0.580 micrometers, the one-dot chain line represents light with a wavelength of 0.460 micrometers, and the two-dot chain line represents light with a wavelength of 0.680 micrometers.

[0868] Fig.179 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers. Fig.179 The horizontal axis represents the position of the focus in the optical axis direction. Fig.179 The vertical axis represents the image height. Fig.179 The solid line shows the sagittal plane. Fig.179 The dotted line represents the tangent plane.

[0869] Fig.180 This is a diagram showing the distortion of light having a wavelength of 0.580 micrometers. Fig.180 The horizontal axis represents the distortion in percentage. Fig.180 The vertical axis represents the image height.

[0870] Embodiment 50

[0871] Fig.181 : is a diagram showing the structure of the shooting optical system of Example 50. The shooting optical system includes four lenses arranged from the object side to the image side. The first lens 5001 and the second lens 5002 are double concave lenses. The third lens 5003 is an aspheric lens whose curvature radius of both surfaces is infinite in the paraxial region and has optical power in the peripheral portion. The fourth lens 5004 is a double convex lens. The aperture stop 4 is located between the first lens 5001 and the second lens 5002.

[0872] Table 98 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Example 50. The focal length f of the entire photographing optical system is f=0.169704, the aperture value Fno is Fno=2.8954, and the HFOV indicating the half field angle is HFOV=50 (degrees). In Table 98, the four lenses are indicated as lenses 1-4 in order from the object side.

[0873] In this embodiment, the object distance from the object to the first lens is 5.242 (=5.142+0.100) mm. Surface 1 has no physical meaning.

[0874] Table 98

[0875]

[0876] Table 99 is a table showing the conic constants and aspheric coefficients of each surface of each lens in Example 50.

[0877] Table 99

[0878]

[0879] Fig.182 This is a diagram showing spherical aberration. Fig.182 The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Fig.182 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Fig.182 In the figure, the solid line represents light with a wavelength of 0.580 micrometers, the one-dot chain line represents light with a wavelength of 0.460 micrometers, and the two-dot chain line represents light with a wavelength of 0.680 micrometers.

[0880] Fig.183 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers. Fig.183 The horizontal axis represents the position of the focus in the optical axis direction. Fig.183 The vertical axis represents the image height. Fig.183 The solid line shows the sagittal plane. Fig.183 The dotted line represents the tangent plane.

[0881] Fig.184 This is a diagram showing the distortion of light having a wavelength of 0.580 micrometers. Fig.184 The horizontal axis represents the distortion in percentage. Fig.184 The vertical axis represents the image height.

[0882] Embodiment 51

[0883] Fig.185 : is a diagram showing the structure of the shooting optical system of Example 51. The shooting optical system includes four lenses arranged from the object side to the image side. The first lens 5101 and the second lens 5102 are negative meniscus lenses that are convex on the object side. The third lens 5103 is a double convex lens. The fourth lens 5103 is an aspherical lens whose curvature radius of both surfaces is infinite in the paraxial region and has optical power in the peripheral portion. The aperture stop 4 is located between the first lens 5101 and the second lens 5102.

[0884] Table 100 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Example 51. The focal length f of the entire photographing optical system is f=0.260851, the aperture value Fno is Fno=2.90276, and the HFOV indicating the half field angle is HFOV=50 (degrees). In Table 100, the four lenses are indicated as lenses 1-4 in order from the object side.

[0885] In this embodiment, the object distance from the object to the first lens is 5.392 (=5.142+0.250) mm. Surface 1 has no physical meaning.

[0886] Table 100

[0887]

[0888] Table 101 is a table showing the conic constants and aspheric coefficients of each surface of each lens in Example 51.

[0889] Table 101

[0890]

[0891] Fig.186 This is a diagram showing spherical aberration. Fig.186 The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Fig.186 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Fig.186 In the figure, the solid line represents light with a wavelength of 0.580 micrometers, the one-dot chain line represents light with a wavelength of 0.460 micrometers, and the two-dot chain line represents light with a wavelength of 0.680 micrometers.

[0892] Fig.187 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers. Fig.187 The horizontal axis represents the position of the focus in the optical axis direction. Fig.187 The vertical axis represents the image height. Fig.187 The solid line represents the sagittal plane. Fig.187 The dotted line represents the tangent plane.

[0893] Fig.188 This is a diagram showing the distortion of light having a wavelength of 0.580 micrometers. Fig.188 The horizontal axis represents the distortion in percentage. Fig.188 The vertical axis represents the image height.

[0894] Embodiment 52

[0895] Fig.189 : is a diagram showing the structure of the shooting optical system of Example 52. The shooting optical system includes four lenses arranged from the object side to the image side. The first lens 5201 is an aspheric lens whose radius of curvature of both surfaces is infinite in the paraxial region and has optical power in the peripheral portion. The second lens 5202 is a positive meniscus lens that is convex on the image side. The third lens 5203 is a negative meniscus lens that is convex on the object side. The fourth lens 5204 is a double convex lens. The aperture stop 4 is located between the second lens 5202 and the third lens 5203.

[0896] Table 102 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Example 52. The focal length f of the entire photographing optical system is f=0.269372, the aperture value Fno is Fno=3.05596, and the HFOV indicating the half field angle is HFOV=50 (degrees). In Table 102, the four lenses are indicated as lenses 1 to 4 in order from the object side.

[0897] In this embodiment, the object distance from the object to the first lens is 5.242 (=5.142+0.100) mm. Surface 1 has no physical meaning.

[0898] Table 102

[0899]

[0900] Table 103 is a table showing the cone constants and aspheric coefficients of each surface of each lens in Example 52.

[0901] Table 103

[0902]

[0903] Fig.190 This is a diagram showing spherical aberration. Fig.190 The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Fig.190 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Fig.190 In the figure, the solid line represents light with a wavelength of 0.580 micrometers, the one-dot chain line represents light with a wavelength of 0.460 micrometers, and the two-dot chain line represents light with a wavelength of 0.680 micrometers.

[0904] Fig.191 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers. Fig.191 The horizontal axis represents the position of the focus in the optical axis direction. Fig.191 The vertical axis represents the image height. Fig.191 The solid line shows the sagittal plane. Fig.191 The dotted line represents the tangent plane.

[0905] Fig.192 This is a diagram showing the distortion of light having a wavelength of 0.580 micrometers. Fig.192 The horizontal axis represents the distortion in percentage. Fig.192 The vertical axis represents the image height.

[0906] Embodiment 53

[0907] Fig.193: is a diagram showing the structure of the shooting optical system of Example 53. The shooting optical system includes four lenses arranged from the object side to the image side. The first lens 5301 is an aspheric lens whose radius of curvature of both surfaces is infinite in the paraxial region and has optical power in the peripheral portion. The second lens 5302 is a negative meniscus lens that is convex on the image side. The third lens 5303 is a negative meniscus lens that is convex on the object side. The fourth lens 5304 is a double convex lens. The aperture stop 4 is located between the second lens 5202 and the third lens 5203.

[0908] Table 104 is a table showing the arrangement of optical elements, properties of lenses, and focal lengths of the photographing optical system of Example 53. The focal length f of the entire photographing optical system is f=0.31125, the aperture value Fno is Fno=2.86326, and the HFOV indicating the half field angle is HFOV=50 (degrees). In Table 104, the four lenses are indicated as lenses 1 to 4 in order from the object side.

[0909] In this embodiment, the object distance from the object to the first lens is 5.242 (=5.142+0.100) mm. Surface 1 has no physical meaning.

[0910] Table 104

[0911]

[0912] Table 105 is a table showing the conic constants and aspheric coefficients of each surface of each lens in Example 53.

[0913] Table 105

[0914]

[0915] Fig.194 This is a diagram showing spherical aberration. Fig.194 The horizontal axis of represents the position where the light rays incident on the photographing optical system and parallel to the optical axis intersect with the optical axis. Fig.194 The vertical axis represents the distance of the light from the optical axis normalized by the radius of the aperture stop. That is, the 1 on the vertical axis represents the radius of the aperture stop. Fig.194 In the figure, the solid line represents light with a wavelength of 0.580 micrometers, the one-dot chain line represents light with a wavelength of 0.460 micrometers, and the two-dot chain line represents light with a wavelength of 0.680 micrometers.

[0916] Fig.195 This is a diagram showing astigmatism of light having a wavelength of 0.580 micrometers. Fig.195 The horizontal axis represents the position of the focus in the optical axis direction. Fig.195 The vertical axis represents the image height. Fig.195 The solid line represents the sagittal plane. Fig.195 The dotted line represents the tangent plane.

[0917] Fig.196 This is a diagram showing the distortion of light having a wavelength of 0.580 micrometers. Fig.196 The horizontal axis represents the distortion in percentage. Fig.196 The vertical axis represents the image height.

[0918] Features of Examples 31 to 53 of the Invention

[0919] Tables 106A-106F are tables showing the features of Examples 31-53. In the table, n, NAT, f, and HFOV respectively represent the number of all lenses, the number of aspheric lenses whose radius of curvature on both surfaces is infinite in the paraxial region and has optical focal length in the peripheral portion, the focal length of the entire optical system, and the angle of half the field of view angle (half field of view angle). In the column "Position of the aperture stop" of the table, for example, "L2-L3" indicates that the aperture stop is located between the second lens and the third lens from the object side. In the column NAT of the table, for example, "1(L1)" indicates that there is one aspheric lens whose radius of curvature on both surfaces is infinite in the paraxial region and has optical focal length in the peripheral portion, and it is the first lens. i is an integer from 1 to n, and "fi" represents the focal length of the i-th lens (i-th lens) from the object side of the shooting optical system. "Distortion image height 90%" represents the distortion at the position where the image height is 90% of the maximum value. "Item" represents item

[0920] The value of .

[0921] Table 106A

[0922]

[0923] Table 106B

[0924] Example f item f1 f2 f3 f4 31 0.2812 0.4283 ∞ 0.643 0.332 32 0.3750 0.3579 ∞ -5.314 0.374 33 0.87 0.652 -1.58 0.755 ∞ 34 0.2595 0.2971 -0.853 0.327。 ∞ 2.856 35 0.2828 0.4388 -0.544 0.271 ∞ -1.469 36 0.2877 0.2766 -2.018 0.576 0.619 ∞ 37 0.2845 0.4047 -0.877 0.251 -1.770 ∞ 38 0.2729 0.2736 ∞ 1.238 0.410 1.313 39 0.2694 0.4918 ∞ 1.020 0.275 -0.372 40 0.2770 0.2843 ∞ -1.719 0.403 0.961

[0925] Table 106C

[0926]

[0927] Form 106D

[0928] Example f item f1 f2 f3 f4 41 0.3052 0.5127 ∞ -0.470 0.246 -1.891 42 0.2442 0.5301 -0.295 0.363 0.394 ∞ 43 0.1811 0.2596 -0.477 -5.494 0.290 ∞ 44 0.2169 0.3210 -0.437 ∞ 0.398 0.896 45 0.3107 0.2932 -2.186 ∞ 121.800 0.302 46 0.3167 0.2750 ∞ 4.989 1.200 0.410 47 0.3237 0.2839 ∞ 1.276 -35.685 0.371 48 0.3069 0.3083 ∞ -2.712 0.844 0.406 49 0.2936 0.2525 ∞ -6.301 -7.855 0.317 50 0.1697 0.2528 -0.525 -1762.361 ∞ 0.247

[0929] Table 106E

[0930]

[0931] Table 1006F

[0932] Example f item f1 f2 f3 f4 51 0.2609 0.1910 -3.145 -413.566 0.383 ∞ 52 0.2694 0.2614 ∞ 0.906 -2.594 0.418 53 0.3113 0.3016 ∞ -1.298 -37.088 0.325

[0933] Table 107 shows the focal length of the peripheral portion of the aspheric lens having infinite radius of curvature of both surfaces of Examples 31 to 53 in the paraxial region and having focal length in the peripheral portion, as represented by formula (4). The value is divided by the reciprocal of the focal length of the optical system (1 / f) and normalized. For example, in the row representing Example 31 of Table 107, L1 represents the first lens which is an aspherical lens whose two surfaces are infinite in the paraxial region and have optical power in the peripheral portion.

[0934] Table 107

[0935] Example 31 -0.573 L1 32 -0.481 L1 33 -1.079 L3 34 0.469 L3 35 -1.091 L3 36 -3.550 L4 37 -3.259 L4 38 -2.141 L1 39 -1.918 L1 40 -0.422 L1 41 -1.764 L1 42 -0.008 L4 43 -1.858 L4 44 -2.529 L2 45 -2.152 L2 46 -2.331 L1 47 -1.713 L1 48 -0.362 L1 49 -0.143 L1 50 -5.292 L3 51 -2.251 L4 52 -0.549 L1 53 -0.181 L1

[0936] According to Tables 106A-106F, Examples 31-53 of the present invention have the following characteristics.

[0937] The number of lenses is three to four, and the aperture stop is located on the image side of the lens closest to the object side and on the object side of the lens closest to the image side. An aspherical lens is provided at a position not adjacent to the aperture stop, and the curvature radius of both surfaces of the aspherical lens is infinite in the paraxial region and has a focal power of the third-order aberration region in the peripheral portion. The lens closest to the object side is a negative lens or an aspherical lens with a curvature radius of both surfaces being infinite in the paraxial region and having a focal power of the third-order aberration region in the peripheral portion, and at least one of the lenses on the image side of the aperture stop is a positive lens. With f i Denote the focal length of each lens, f denotes the overall focal length, and n denotes the number of lenses, then:

[0938]

[0939] Let the angle between the principal ray of the light beam incident on the optical system and reaching the maximum image height and the optical axis be HFOV, then:

[0940] 40°<HFOV<80°.

[0941] In addition, according to the diagrams showing the structures of the shooting optical systems and light paths of Examples 31 to 53, the light beam incident on the optical system and reaching the maximum image height and the light beam whose main ray is incident on the optical system and parallel to the optical axis do not intersect in the first lens.

[0942] In Examples 31 to 49, the lens adjacent to the aperture stop on the image side is a positive lens.

Claims

1. A photographing optical system, wherein: The number of lenses is three to four. The aperture stop is located closer to the image side than the lens closest to the object side and closer to the object side than the lens closest to the image side. An aspherical lens is provided at a position not adjacent to the aperture stop, the curvature radius of both surfaces of the aspherical lens being infinite in the paraxial region and having a focal power in the third-order aberration region in the peripheral portion, The lens closest to the object side is a negative lens or an aspherical lens with infinite curvature radius on both sides in the paraxial region and a negative third-order aberration region in the peripheral area. At least one of the lenses on the image side of the aperture stop is a positive lens. If the focal length of each lens is expressed as f i Indicated by f, the overall focal length and n the number of lenses, then: The light beam incident to the optical system and reaching the maximum image height and the light beam incident to the optical system whose principal ray is parallel to the optical axis do not intersect in the first lens. Let the angle between the principal ray of the light beam incident on the optical system and reaching the maximum image height and the optical axis be HFOV, then: 40°<HFOV<80°.

2. The photographing optical system according to claim 1, wherein: The lens adjacent to the aperture stop on the image side is a positive lens.

Images