Optical system and photographing device having optical system

[0001] The present application is a U.S. National Stage of International Application NO. PCT/CN2022/091050, filed May 5, 2022, the contents of all of which are incorporated herein by reference in their entireties for all purposes.

[0002] The disclosure relates to an optical system having a plurality of lens groups and a photographing device having the optical system.

[0003] In a first aspect, the optical system of the present disclosure includes: a first lens group having a positive refractive power, a second lens group having a negative refractive power and a third lens group having a negative refractive power, sequentially arranged from an object side to an image side; when focusing, the second lens group moves along an optical axis, positions of the first lens group and the third lens group relative to an imaging plane in a direction of the optical axis are fixed, when a distance from a face closest to the object side to a face closest to the image side of the second lens group is OAL2, and a distance from a face closest to the object side of the entire optical system to the imaging plane is OAL, it is satisfied that: 0.06≤OAL2/OAL.

[0004] In a second aspect, a photographing device of the present disclosure includes: an optical system; and a photographing element arranged at a side of the imaging plane of the optical system and converting an optical image formed by the optical system into an electrical signal. The optical system includes: a first lens group having a positive refractive power, a second lens group having a negative refractive power and a third lens group having a negative refractive power, sequentially arranged from an object side to an image side; when focusing, the second lens group moves along an optical axis, positions of the first lens group and the third lens group relative to an imaging plane in a direction of the optical axis are fixed, when a distance from a face closest to the object side to a face closest to the image side of the second lens group is OAL2, and a distance from a face closest to the object side of the entire optical system to the imaging plane is OAL, it is satisfied that: 0.06≤OAL2/OAL.

[0026] Hereinafter, an embodiment of the present disclosure will be described with reference to the drawings.

[0027] In the related art, the optical system described in Japanese patent communiqué No. 5749629 is not sufficient for close-range photographing, and the optical system described in patent Japanese special publication communiqué No. 2021-173847 is not sufficiently miniaturized because a ratio of total lengths of the optical system and the focal length is large.

[0028] As shown in FIG. 1, a photographing device 1 according to the present embodiment includes an optical system 2, a photographing element 3 arranged at a position of an imaging plane of the optical system 2, and a liquid crystal screen 4 for displaying the photographing (image) data transmitted from a photographing element 3. In addition, the photographing device 1 includes a driving part (not shown in the figures) for driving the optical system 2. The driving part is an actuator such as a VCM (Voice Coil Motor), to drive a predetermined lens or lens group and the like included in the optical system 2 in a direction substantially perpendicular to a light receiving surface of the photographing element 3 (a direction of an optical axis). In addition, the photographing element 3 is an element that converts an optical image formed by the optical system 2 into an electrical signal (photographing data), and the photographing element 3 of the present embodiment is a CMOS image sensor.

[0029] The optical system 2 is a so-called internal focusing optical system, and the optical system 2 of the present embodiment is a so-called periscope telephoto lens in which the optical axis (an optical path) C is bent by a reflective optical element such as a prism or a mirror. Specifically, the optical system 2 includes a prism 20 that bends the optical axis C and a plurality of lens groups G arranged on the optical axis C sequentially from the object side to the image side along the optical axis C. In addition, the optical system 2 includes an aperture diaphragm 24, an optical filter 25 arranged between the plurality of lens groups G and the photographing element 3, and a lens barrel 26 holding the plurality of lens groups G.

[0030] The plurality of lens groups G at least include a first lens group 21, a second lens group 22, and a third lens group 23 sequentially from the object side to the image side along the optical axis C. Each of the lens groups 21, 22 and 23 includes at least one lens (optical element).

[0031] In addition, in the optical system 2 of the present embodiment, the lens groups 21 to 23 are named for convenience, and include a lens group composed of only one optical element (lens, etc.). That is, the first to third lens groups 21, 22 and 23 each have at least one optical element such as a lens. In addition, in the optical system 2, the optical elements (lenses, etc.) whose positions are fixed on the optical axis C during focusing are separated from the moving optical elements, and the at least one fixed optical element in a separated area is regarded as one lens group, and the at least one moving optical element in a separated area is regarded as another lens group.

[0032] In the above-mentioned optical system 2, during focusing, the second lens group 22 moves along the optical axis C, and positions of the first lens group 21 and the third lens group 23 in the direction of the optical axis C are fixed relative to the photographing element 3 (the imaging plane of the optical system 2). That is, in the optical system 2 of the present embodiment, among the lens groups 21, 22 and 23, the second lens group 22 constitutes a focusing lens group F.

[0033] Hereinafter, the lens groups 21 to 23 in the optical system 2 will be described in detail.

[0034] The first lens group 21 includes a plurality of lenses (four lenses in an example of the present embodiment) having a positive refractive power. In addition, the second lens group 22 includes a plurality of lenses (two lenses in an example of the present embodiment) having a negative refractive power. In addition, the third lens group 23 includes a plurality of lenses (two lenses in an example of the present embodiment) having a negative refractive power.

[0035] When a distance from a face closest to the object side to a face closest to the image side of the second lens group 22 is OAL2 and a distance from a face closest to the object side of the entire optical system 2 to the imaging plane is OAL, the optical system 2 satisfies the following formula (1).

[0036] $\begin{array}{cc}0.06⩽\mathrm{OAL}2/\mathrm{OAL}& \left(1\right)\end{array}$

[0037] In the above optical system 2, among a plurality of lens groups G arranged along the optical axis C, the first lens group 21 having the positive refractive power is arranged closest to the object side, the second lens group 22 having the negative refractive power is arranged at the image side of the first lens group 21, and the third lens group 23 having the negative refractive power is arranged closest to the image side. As a result, it is easy to obtain a focal power arrangement of telephoto in the optical system 2, so that a focal length of the first lens group 21 may be shortened, resulting in that the optical system 2 may be miniaturized (specifically, miniaturized in the direction of the optical axis C).

[0038] Moreover, by making the second lens group movable during focusing, the aberration variation balance with the front and rear lens groups 21, 23 may be adjusted. Bending variation of the imaging plane during close range photographing may be suppressed compared with a whole extension mode, so that the close range photographing distance may be further shortened.

[0039] Furthermore, by fixing the first lens group 21 and the third lens group 23 with respect to the imaging plane, only the second lens group 22 is set as a movable lens group, so that a load on a mechanism or actuator may be reduced, and therefore, the overall miniaturization of the photographing device 1 including the optical system 2 may be realized.

[0040] In addition, the above formula (1) specifies a ratio (OAL2/OAL) of the distance from the face closest to the object side to the face closest to the image side of the second lens group 22 to the distance from the face closest to the object side of the entire optical system 2 to the imaging plane. When the ratio (OAL2/OAL) is lower than a lower limit value (0.06), the aberration correction in the entire focus area becomes insufficient and the imaging performance becomes insufficient. Therefore, in the optical system 2 of the present embodiment, by setting the ratio (OAL2/OAL) of the distance from the face closest to the object side to the face closest to the image side of the second lens group 22 to the distance from the face closest to the object side of the entire optical system 2 to the imaging plane within the range of formula (1), it is possible to perform sufficient aberration correction in the entire focused area, thereby ensuring sufficient imaging performance.

[0041] In addition, in some examples, in the optical system 2 of the present embodiment, the above ratio (OAL2/OAL) satisfies the following formula.

[0042] $0.11⩽\mathrm{OAL}2/\mathrm{OAL}⩽0.3$

[0043] In some examples, the following formula is satisfied.

[0044] $0.15⩽\mathrm{OAL}2/\mathrm{OAL}⩽0.22$

[0045] In addition, in the optical system 2, the second lens group 22 has at least one lens having a positive refractive power and at least one lens having a negative refractive power. In the second lens group 22, a lens 221 having the strongest positive refractive power may be arranged at a position closer to the image side than a lens 222 having the strongest negative refractive power.

[0046] According to this configuration, aberration correction may be achieved in the entire focus area from infinity photographing to close range photographing just by moving the second lens group 22. The details are as follows.

[0047] In order to realize the aberration correction in the entire focus area from infinity photographing to close range photographing just by moving the second lens group 22, an on-axis light beam that is strongly converged by the first lens group 21 on the object side of the second lens group 22 is regarded as a properly converged light beam, and a negative focal power is needed to make a peripheral light beam jump up and be guided to the image side of the second lens group 22. In addition, on the image side of the second lens group 22, a positive focal power may be required for convergence to obtain a desired F number.

[0048] Therefore, in the optical system 2 of the present embodiment, as the configuration described above, the second lens group 22 has at least one lens having a positive refractive power and at least one lens having a negative refractive power. By adopting a configuration in which the lens 221 having the strongest positive refractive power is located at the position closer to the image side than the lens 222 having the strongest negative refractive power in the second lens group 22, a proper aberration correction may be achieved in the entire focus area from infinity photographing to close range photographing just by moving the second lens group 22.

[0049] In addition, in the optical system 2, when a focal length of the entire optical system focusing at infinity is f, the optical system 2 may satisfy the following formula (2).

[0050] $\begin{array}{cc}\mathrm{OAL}/f⩽2.& \left(2\right)\end{array}$

[0051] The above formula (2) specifies a ratio (OAL/f) of the distance from the face closest to the object side of the entire optical system to the imaging plane to the focal length, and when the ratio (OAL/f) exceeds an upper limit (2.00), it cannot be said that a total optical length is sufficiently shortened, and not only the optical system 2, but also the entire photographing device 1 having the optical system 2 cannot be miniaturized. Therefore, in the optical system 2 of the present embodiment, by setting the ratio (OAL/f) of the distance from the face closest to the object side of the entire optical system to the imaging plane to the focal length within a range of formula (2), the total optical length may be sufficiently shortened, and thus, not only the optical system 2 may be miniaturized, but also the entire photographing device 1 having the optical system 2 may be miniaturized.

[0052] In addition, in some examples, in the optical system 2 of the present embodiment, the above ratio (OAL/f) satisfies the following formula.

[0053] $0.8⩽\mathrm{OAL}/f⩽1.5$

[0054] In some examples, the following formula is satisfied.

[0055] $0.9⩽\mathrm{OAL}/f⩽1.$

[0056] In addition, in the optical system 2, when a maximum lateral magnification of the entire optical system is B, the optical system 2 may also satisfy the following formula (3).

[0057] $\begin{array}{cc}0.5⩽❘B❘& \left(3\right)\end{array}$

[0058] The above formula (3) specifies the maximum lateral magnification of the entire optical system, and when the value is lower than a lower limit (0.50), it cannot be said that close range photographing is fully realized, and a distance from the object that may be photographed cannot be shortened. Therefore, in the optical system 2 of the present embodiment, by setting the maximum lateral magnification of the entire optical system within a range of formula (3), the distance from the object that may be photographed may be shortened, and thus, an optical system 2 that is miniaturized and capable of photographing at a close range and a photographing device 1 having the optical system 2 may be realized.

[0059] Here, the maximum lateral magnification is a numerical value indicating a degree of close range photographing, which is a ratio of a height of the image on a photographing surface to a height of the object of the subject. For example, when photographing at a close range and |B| is 1.00, sizes of the subject and the photographing surface are equal. In addition, when photographing at a long distance, |B| is close to 0.00.

[0060] In addition, in some examples, in the optical system 2 of the present embodiment, the maximum lateral magnification of the entire optical system satisfies the following formula.

[0061] $0.75⩽❘B❘.$

[0062] In some examples, the following formula is satisfied.

[0063] $1.⩽❘B❘$

[0064] In addition, in the optical system 2, when a lateral magnification of the second lens group focusing at infinity is b2 and a lateral magnification of the third lens group focusing at infinity is b3, the optical system 2 may also satisfy the following formula (4).

[0065] $\begin{array}{cc}-10\text{.00}⩽\left(1-b{2}^2\right)\times b{3}^2⩽-2.& \left(4\right)\end{array}$

[0066] The above formula (4) specifies a ratio ((1−b2²)×b3²) of a movement amount of the imaging plane to a movement amount of the second lens group 22 in the direction of the optical axis C. In the optical system with a whole extension mode, the numerical value corresponding to this formula is 1. However, in the internal focusing optical system of the optical system 2 of the present embodiment, by increasing this ratio with a negative value, the close range photographing may be realized with a small movement amount, and the miniaturization of the entire optical system 2 is realized. When the ratio ((1−b2²)×b3²) is less than a lower limit (−10.00), the movement amount of the imaging plane relative to the movement amount of the second lens group 22 in the direction of the optical axis C becomes too large to improve accuracy of the stop position of the second lens group 22 by a driving device such as an actuator. However, when the ratio ((1−b2²)×b3²) exceeds an upper limit (−2.00), the movement amount of the second lens group 22 for the close range photographing increases, so it is difficult to realize the miniaturization of the entire optical system 2. Therefore, in the optical system 2 of the present embodiment, by setting the ratio ((1−b2²)×b3²) of the movement amount of the imaging plane to the movement amount of the second lens group 22 in the direction of the optical axis C within a range of the above-mentioned formula (4), it is possible to achieve a balance between improving the accuracy of the stop position of the second lens group 22 by an actuator or the like during focusing and the miniaturization of the entire optical system 2.

[0067] In addition, in some examples, in the optical system 2 of the present embodiment, the above ratio ((1−b2²)×b3²) satisfies the following formula.

[0068] $-9\text{.00}⩽\left(1-b{2}^2\right)\times b{3}^2⩽-2.5$

[0069] In some examples, the following formula is satisfied.

[0070] $-8\text{.00}⩽\left(1-b22\right)\times b{3}^2⩽-5.$

[0071] In addition, in the optical system 2, when a focal length of the entire optical system focusing at infinity is f and a focal length of the above-mentioned second lens group is f2, the optical system 2 may also satisfy the following formula (5).

[0072] $\begin{array}{cc}-0\text{.70}⩽f2/f⩽-0.1& \left(5\right)\end{array}$

[0073] The above formula (5) specifies a ratio (f2/f) of the focal length of the second lens group 22 to the focal length of the entire optical system 2 focusing at infinity. When this ratio (f2/f) is lower than a lower limit (−0.70), the optical power of the second lens group 22 becomes weak, and the movement amount of the second lens group 22 for the close range photographing becomes large, so it is difficult to realize the miniaturization of the entire optical system 2. On the other hand, when the ratio (f2/f) exceeds an upper limit (−0.10), the movement amount of the imaging plane relative to the movement amount of the second lens group 22 in the direction of the optical axis C becomes too large to improve the accuracy of the stop position of the second lens group 22 by a driving device such as an actuator. Therefore, in the optical system 2 of the present embodiment, by setting the ratio (f2/f) of the focal length of the second lens group 22 to the focal length of the entire optical system 2 focusing at infinity within a range of the above-mentioned formula (5), it is possible to achieve a balance between the miniaturization of the entire optical system 2 and improvement of the accuracy of the stop position of the second lens group 22 by an actuator or the like during focusing.

[0074] In addition, in some examples, in the optical system 2 of the present embodiment, the above ratio (f2/f) satisfies the following formula.

[0075] $-0\text{.65}⩽f2/f⩽-0.15$

[0076] In some examples, the following formula is satisfied.

[0077] $-0\text{.60}⩽f2/f⩽-0.2$

[0078] According to the optical system 2 configured as above and the photographing device 1 having the optical system 2, the miniaturation and close range photographing may be realized. That is, in the optical system 2 of the present embodiment where the first lens group 21 has a positive refractive power, the second lens group 22 has a negative refractive power, and the third lens group 23 has a negative refractive power, and the second lens group 22 is movable when focusing from infinity to close range, by appropriately selecting the configurations, magnifications, lens materials, etc. of the lens groups 21 to 23, an optical system, which has an overall small size and can fully realize the performance and chromatic aberration at the close range photographing, may be realized.

[0079] In addition, in the optical system 2 and the photographing device 1 having the optical system 2 according to the present embodiment, even in the so-called internal focusing optical system, the miniaturization and the like of the optical system 2 and the photographing device 1 having the optical system 2 may be realized. The details are as follows.

[0080] As a conventional focusing method of a lens, an optical system with a whole extension mode is known. The optical system with a whole extension mode adopts the way of extending the entire optical system to the object side when focusing from infinity to close range, and the entire optical system is fixed as one without being divided into subgroups, so it is relatively easy to improve the optical performance when designing. However, when the entire lens is focused, there is a difference between the positions where the lens system of peripheral image high beam passes between infinity and close range focus, and the variation of imaging plane bending becomes larger, and its aberration is difficult to correct. In addition, a movement distance of the entire lens during focusing increases in proportion to the square of the focal length. Therefore, especially for a telephoto lens with a long focal length, in order to achieve close range photographing, the movement amount of focusing becomes longer, and as a result, it is difficult to realize the miniaturization of the optical system and the photographing device.

[0081] On the other hand, the internal focusing optical system, when focusing from infinity to close range, adopts a way of moving some lens groups in the optical system to the object side or the image side. Because the aberration correction corresponding to the object distances is distributed to respective groups, it is easier to correct the aberration in the focusing range. In addition, the sensitivity of the movement distance of the focus group during focusing may be improved, and the movement amount may be easily shortened.

[0082] Therefore, in the photographing device 1 of the present embodiment, even when the internal focusing optical system is adopted as the optical system 2, it is possible to realize an optical system that has a small overall size and can fully realize the performance and chromatic aberration correction during close range photographing.

[0083] Embodiments 1 to 4 of the optical system of the present disclosure will be described. In the following embodiments, the same reference numerals are used for the components corresponding to the components of the optical system 2 of the above embodiments. In addition, in the tables of the following embodiments, r is the radius of curvature, d is the lens thickness or lens spacing, nd is a refractive index of a d-line, and vd represents an Abbe number based on the d-line. In addition, aspheric surface is defined by the following formula.

[0084] $z={\mathrm{ch}}^2/\left[1+{\left\{1-\left(1+k\right)c^2{h}^2\right\}}^{1/2}\right]+A4h^4+A6h^6+A8h^8+A10h^{10}\mathrm{\dots \dots }$

[0085] (Where, c is a curvature (1/r), h is a height from the optical axis, k is a conic coefficient, and A4, A6, A8 and A10 are aspheric coefficients of each order).

[0086] In addition, each longitudinal aberration diagram shows spherical aberration (SA (mm)), astigmatism (AST (mm)) and distortion (DIS (%)) in turn from the left. In the spherical aberration diagram, the vertical axis represents the F number (represented by FNO in the diagram), the solid-line represents the characteristics of the d-line, the short dashed-line represents the characteristics of F-line, and the long dashed-line represents the characteristics of C-line. In the astigmatism diagram, the vertical axis represents the maximum image height (represented by Y in the diagram), the solid-line represents the characteristics of the sagittal plane (represented by S in the diagram), and the dashed-line represents the characteristics of the meridian plane (represented by M in the diagram). In the distortion diagram, the vertical axis represents the maximum image height (represented by Y in the diagram).

[0087] FIGS. 2 and 3 are lens configuration diagrams of an optical system according to Embodiment 1, with FIG. 2 showing an infinity focus state and FIG. 3 showing a closest focus state. In addition, the reference numerals indicating the configurations of the optical system are the same as the reference numerals of the corresponding configurations of the optical system 2 of the above embodiments. In addition, in this optical system, when focusing, the positions of the first lens group 21 and the third lens group 23 on the optical axis C are fixed with respect to the photographing element (imaging plane) 3.

[0088] FIG. 4 is a longitudinal aberration diagram in an infinity focus state, FIG. 5 is a longitudinal aberration diagram at a magnification of −0.5, and FIG. 6 is a longitudinal aberration diagram at a magnification of −1.0. In addition, Table 1 below shows the surface data of each lens, Table 2 shows aspherical surface data, Table 3 shows various data, Table 4 shows lens group data, and Table 5 shows individual lens data.

[0089]

TABLE 1
Surface data
Surface
number	r	d	nd	vd
1*	10.837	0.889	1.5731	37.65
2*	−20.302	1.869
3*	−11.842	0.400	1.6422	22.40
4*	8.631	0.400
5*	7.439	0.701	1.5445	55.96
6*	−1016.183	0.459
7*	−244.855	1.007	1.5445	55.96
8*	−4.791	d8			(Aperture diaphragm)
9*	−23.864	0.400	1.5445	55.96
10*	3.953	2.049
11*	7.996	0.959	1.6714	19.27
12*	20.258	d12
13*	−26.885	0.600	1.6714	19.27
14*	−127.054	1.443
15*	−14.148	1.060	1.5731	37.65
16*	−18.241	1.822
17	∞	0.210	1.5168	64.20
18	∞	0.390
*for aspheric surface

[0090]

TABLE 2
Aspheric surface data
(the aspheric coefficient not shown is 0.00.)
Surface number	k	A4	A6	A8	A10
1	0.0000E+00	−1.1639E−05	6.0054E−05	8.6396E−06	−2.2041E−07
2	0.0000E+00	5.8633E−04	7.3252E−05	7.4744E−06	−5.8661E−07
3	0.0000E+00	−7.0037E−04	−1.9898E−04	−1.8774E−05	2.9685E−07
4	0.0000E+00	−1.1742E−03	−1.9647E−04	−2.4243E−05	5.3635E−06
5	0.0000E+00	−1.2977E−03	−9.0202E−05	−2.2704E−06	9.5701E−07
6	0.0000E+00	1.0370E−03	1.7134E−05	2.3538E−06	−1.7400E−06
7	0.0000E+00	−5.1023E−04	−4.7470E−06	−9.8158E−06	3.7361E−07
8	0.0000E+00	−2.8113E−04	−5.1933E−05	−6.3363E−06	3.6540E−07
9	0.0000E+00	8.8416E−03	−1.4970E−03	1.9667E−04	−1.3207E−05
10	0.0000E+00	7.6657E−03	−7.8779E−04	1.2420E−04	−4.5422E−06
11	0.0000E+00	−6.0882E−03	3.6197E−04	−4.1107E−05	2.7115E−06
12	0.0000E+00	−6.6253E−03	2.4105E−04	−3.3557E−05	1.3859E−06
13	0.0000E+00	2.0583E−04	2.7586E−04	−2.5465E−05	−2.7532E−07
14	0.0000E+00	1.4314E−03	3.1864E−04	−8.5224E−06	−1.1200E−06
15	0.0000E+00	−4.2498E−04	1.1331E−04	1.8972E−05	−8.9160E−07
16	0.0000E+00	−1.8677E−03	9.7671E−05	−1.7520E−07	2.0773E−07

[0091]

TABLE 3
Various data
	object distance	∞	44.617	21.900
	lateral magnification	—	−0.5 times	−1.0 times
	F number	4.100	4.604	4.983
	lens total length	21.680	21.680	21.680
	d8	1.000	3.112	6.036
	d12	6.022	3.910	0.986

[0092] The focal length is 21.999, and the maximum image height is 4.000.

[0093]

TABLE 4
Lens group data
			Lens	Lens
	Starting	Focal	configuration	movement
Group	surface	length	length	amount	Magnification
1	1	8.242	5.725	0.000	—
2	9	−10.613	3.408	5.036	2.331
3	13	−35.740	3.103	0.000	1.145

[0094]

TABLE 5
Individual lens data
	Starting	Focal
Lens	surface	length
1	1	12.458
2	3	−7.715
3	5	13.566
4	7	8.961
5	9	−6.197
6	11	19.077
7	13	−50.915
8	15	−121.484

[0095] FIGS. 7 and 8 are lens configuration diagrams of an optical system according to Embodiment 2, with FIG. 7 showing an infinity focus state and FIG. 8 showing a closest focus state. In addition, the reference numerals indicating the configurations of the optical system are the same as those of the corresponding configurations of the optical system 2 of the above embodiment. In addition, in this optical system, similarly, when focusing, the positions of the first lens group 21 and the third lens group 23 on the optical axis C are fixed with respect to the photographing element (imaging plane) 3.

[0096] FIG. 9 is a longitudinal aberration diagram in an infinity focus state, FIG. 10 is a longitudinal aberration diagram at a magnification of −0.5, and FIG. 11 is a longitudinal aberration diagram at a magnification of −1.0. In addition, Table 6 below shows the surface data of each lens, Table 7 shows aspheric surface data, Table 8 shows various data, Table 9 shows lens group data, and Table 10 shows individual lens data.

[0097]

TABLE 6
Surface data
Surface
number	r	d	nd	vd
1*	5.000	0.693	1.5731	37.65
2*	10.734	0.966
3*	−8.150	0.300	1.6714	19.27
4*	5.654	0.300
5*	4.317	0.907	1.5445	55.96
6*	−2.867	d6			(Aperture diaphragm)
7*	−5.422	0.300	1.5445	55.96
8*	2.824	0.685
9*	27.713	0.405	1.6714	19.27
10*	−8.501	0.300
11*	−10.352	0.300	1.5445	55.96
12*	24.347	d12
13*	−13.515	0.600	1.5445	55.96
14*	−25.363	0.368
15*	−6.612	0.407	1.6714	19.27
16*	−6.720	0.500
17	∞	0.105	1.5168	64.20
18	∞	0.195
*for aspheric surface

[0098]

TABLE 7
Aspheric surface data (the aspheric coefficient not shown is 0.00.)
Surface number	k	A4	A6	A8	A10
1	0.0000E+00	−2.3666E−03	2.0426E−05	6.8914E−04	−6.1516E−05
2	0.0000E+00	1.6713E−03	8.7447E−04	7.9219E−04	−1.5080E−04
3	0.0000E+00	−1.9033E−03	−1.1546E−03	−4.6620E−04	−4.3690E−04
4	0.0000E+00	−3.2511E−03	−3.0497E−03	−6.7443E−04	1.5675E−04
5	0.0000E+00	−1.1837E−02	−2.7722E−03	−7.9426E−04	4.8106E−04
6	0.0000E+00	4.1623E−04	−4.6327E−04	−1.2627E−03	3.9072E−04
7	0.0000E+00	1.4546E−01	−1.0408E−01	4.7577E−02	−9.9469E−03
8	0.0000E+00	1.6352E−01	−6.6907E−02	2.2009E−02	−1.6217E−04
9	0.0000E+00	9.3001E−03	3.1386E−02	−3.5351E−03	−2.5583E−03
10	0.0000E+00	4.5596E−03	1.5161E−02	2.1792E−02	−1.1358E−02
11	0.0000E+00	−1.2992E−01	2.1642E−02	2.9409E−02	−2.0420E−02
12	0.0000E+00	−1.3818E−01	3.8975E−02	−5.9382E−03	−4.1109E−03
13	0.0000E+00	−2.9073E−02	−8.7698E−03	2.5602E−04	−1.9794E−05
14	0.0000E+00	−2.6118E−02	−6.2895E−03	9.2413E−04	−6.0528E−05
15	0.0000E+00	−1.7191E−02	9.6305E−03	−3.2638E−04	−1.8985E−04
16	0.0000E+00	−1.7921E−02	6.5500E−03	1.1147E−03	−3.4194E−04

[0099]

TABLE 8
Various data
	object distance	∞	23.135	10.954
	Interal magnification	—	−0.5 times	−1.0 times
	F number	3.400	3.744	3.931
	lens total length	10.800	10.800	10.800
	d6	0.500	1.492	2.978
	d12	2.968	1.976	0.490

[0100] The focal length is 11.600 and the maximum image height is 2.060.

[0101]

TABLE 9
Lens group data
			Lens	Lens
	Starting	Focal	configuration	movement
Group	surface	length	length	amount	Magnification
1	1	4.167	3.167	0.000	—
2	7	−3.745	1.990	2.478	2.613
3	13	−58.120	1.376	0.000	1.065

[0102]

TABLE 10
Individual lens data
Lens	Starting surface	Focal length
1	1	6.049
2	3	−4.929
3	5	3.311
4	7	−3.367
5	9	9.733
6	11	−13.299
7	13	−54.100
8	15	1192.695

[0103] FIGS. 12 and 13 are lens configuration diagrams of an optical system according to Embodiment 3, with FIG. 12 showing an infinity focus state and FIG. 13 showing a closest focus state. In addition, the reference numerals indicating the configurations of the optical system are the same as those of the corresponding configurations of the optical system 2 of the above embodiment. In addition, in this optical system, similarly, when focusing, the positions of the first lens group 21 and the third lens group 23 on the optical axis C are fixed with respect to the photographing element (imaging plane) 3.

[0104] FIG. 14 is a longitudinal aberration diagram in an infinity focus state, FIG. 15 is a longitudinal aberration diagram at a magnification of −0.5, and FIG. 16 is a longitudinal aberration diagram at a magnification of −1.0. In addition, Table 11 below shows the surface data of each lens, Table 12 shows the aspheric surface data, Table 13 shows various data, Table 14 shows the lens group data, and Table 15 shows the individual lens data.

[0105]

TABLE 11
Surface data
Surface
matter	r	d	nd	vd
1*	5.000	0.706	1.5731	37.65
2*	−10.173	0.993
3*	−8.056	0.300	1.6714	19.27
4*	6.129	0.300
5*	4.306	0.860	1.5445	55.96
6*	−2.901	d6			(Aperture diaphragm)
7*	−4.269	0.388	1.5445	55.96
8*	2.842	1.255
9*	33.107	0.481	1.6714	19.27
10*	−20.856	d10
11*	−8.636	0.600	1.6714	19.27
12*	−5.869	0.397
13*	−2.388	0.432	1.5445	55.96
14*	−3.516	0.500
15	∞	0.105	1.5168	64.20
16	∞	0.195
*for aspheric surface

[0106]

TABLE 12
Aspheric surface data (the aspheric coefficient not shown is 0.00.)
Surface number	k	A4	A6	A8	A10
1	0.0000E+00	−1.9112E−03	−1.5546E−05	6.7772E−04	−6.1390E−05
2	0.0000E+00	1.8475E−03	7.8046E−04	7.4538E−04	−1.4350E−04
3	0.0000E+00	−2.4046E−03	−1.4414E−03	−5.4986E−04	−4.4954E−04
4	0.0000E+00	−3.2006E−03	−3.1773E−03	−7.5860E−04	1.7843E−04
5	0.0000E+00	−1.2499E−02	−2.9279E−03	−8.2432E−04	5.1155E−04
6	0.0000E+00	−2.6964E−04	−7.1603E−04	−1.2165E−03	3.9514E−04
7	0.0000E+00	1.4553E−01	−1.0374E−01	5.0677E−02	−1.1549E−02
8	0.0000E+00	1.6999E−01	−7.8555E−02	3.6428E−02	−3.2533E−03
9	0.0000E+00	−3.2310E−02	7.0395E−03	−3.1606E−03	9.0266E−04
10	0.0000E+00	−4.4445E−02	4.4951E−03	−2.4390E−03	1.8147E−04
11	0.0000E+00	−2.7469E−02	−6.6085E−03	2.3747E−04	3.3901E−04
12	0.0000E+00	−2.1601E−02	−6.6923E−04	5.7099E−04	−1.0567E−05
13	0.0000E+00	3.5570E−02	6.5430E−03	−7.4509E−04	−6.9896E−05
14	0.0000E+00	2.5797E−02	−3.5508E−03	2.0065E−03	−3.3999E−04

[0107]

TABLE 13
Various data
object distance	∞	23.360	11.411
lateral magnification	—	−0.5 times	−1.0 times
F number	3.400	3.797	4.101
lens total length	10.800	10.800	10.800
d6	0.500	1.433	2.700
d10	2.787	1.854	0.587

[0108] The focal length is 11.598, and the maximum image height is 2.060.

[0109]

TABLE 14
Lens group data
			Lens	Lens
	Starting	Focal	configuration	movement
Group	surface	length	length	amount	Magnification
1	1	4.076	3.159	0.000	—
2	7	−4.044	2.124	2.200	2.622
3	11	−38.871	1.429	0.000	1.085

[0110]

TABLE 15
Individual leas data
Lens	Starting surface	Focal length
1	1	5.950
2	3	−5.141
3	5	3.323
4	7	−3.074
5	9	19.127
6	11	25.097
7	13	−15.804

[0111] FIGS. 17 and 18 are lens configuration diagrams of an optical system according to Embodiment 4, with FIG. 17 showing an infinity focus state and FIG. 18 showing a closest focus state. In addition, the reference numerals indicating the configurations of the optical system are the same as reference numerals of the corresponding configurations of the optical system 2 of the above embodiment. In addition, in this optical system, similarly, when focusing, the positions of the first lens group 21 and the third lens group 23 on the optical axis C are fixed with respect to the photographing element (imaging plane) 3.

[0112] FIG. 19 is a longitudinal aberration diagram in an infinity focus state, FIG. 20 is a longitudinal aberration diagram at a magnification of −0.5, and FIG. 21 is a longitudinal aberration diagram at a magnification of −1.0. In addition, Table 16 below shows the surface data of each lens, Table 17 shows the aspheric surface data, Table 18 shows various data, Table 19 shows the lens group data, and Table 20 shows the individual lens data.

[0113]

TABLE 16
Surface data
Surface
number	r	d	nd	vd
1*	11.363	0.891	1.5445	55.96
2*	−16.648	2.105
3*	−11.791	0.483	1.6161	25.78
4*	8.889	0.508
5*	9.425	1.316	1.5445	55.96
6*	−4.732	d6			(Aperture diaphragm)
7*	−18.298	0.400	1.5445	55.96
8*	4.125	1.654
9*	9.133	1.296	1.6560	21.25
10*	54.302	d10
11*	−24.402	0.600	1.6714	19.27
12*	−292.433	0.788
13*	−39.540	0.790	1.5880	28.42
14*	−52.998	2.870
15	∞	0.210	1.5168	64.20
16	∞	0.390
*for aspheric surface

[0114]

TABLE 17
Aspheric surface data (the aspheric coefficient not shown is 0.00.)
Surface number	k	A4	A6	A8	A10
1	0.0000E+00	−2.4234E−04	6.7694E−05	9.5189E−06	−3.2738E−07
2	0.0000E+00	7.4726E−04	8.5317E−05	7.9662E−06	−6.4674E−07
3	0.0000E+00	−1.0455E−03	−2.7135E−04	−2.4506E−05	−1.2958E−06
4	0.0000E+00	−1.4090E−03	−2.6033E−04	−3.6940E−05	4.8898E−08
5	0.0000E+00	−1.9939E−03	−1.4629E−04	−1.7838E−05	2.6301E−06
6	0.0000E+00	−2.8018E−04	−9.8170E−05	−5.4890E−06	3.8947E−07
7	0.0000E+00	9.8284E−03	−1.4827E−03	1.6449E−04	−9.6737E−06
8	0.0000E+00	7.9215E−03	−4.7219E−04	4.8074E−05	2.5181E−06
9	0.0000E+00	−6.0098E−03	4.9475E−04	−5.6628E−05	4.1063E−06
10	0.0000E+00	−6.0192E−03	2.4361E−04	−3.5619E−05	1.5327E−06
11	0.0000E+00	1.7119E−03	1.3443E−04	−3.2076E−05	5.3290E−07
12	0.0000E+00	4.0167E−03	1.8733E−04	−5.3277E−06	−1.3317E−06
13	0.0000E+00	−8.6012E−04	2.3103E−04	1.6139E−05	−1.2058E−06
14	0.0000E+00	−3.3438E−03	2.4644E−04	−1.5055E−05	7.3173E−07

[0115]

TABLE 18
Various data
object distance	∞	45.139	22.397
lateral magnification	—	−0.5 times	−1.0 times
F number	4.100	4.608	4.987
lens total length	21.680	21.680	21.680
d6	1.000	3.249	6.396
d10	6.380	4.131	0.984

[0116] The focal length is 21.999, and the maximum image height is 4.000.

[0117]

TABLE 19
Lens group data
			Lens	Lens
	Starting	Focal	configuration	movement
Group	surface	length	length	amount	Magnification
1	1	8.437	5.301	0.000	—
2	7	−11.495	3.350	5.396	2.269
3	11	−34.345	2.178	0.000	1.149

[0118]

TABLE 20
Individual lens data
Lens	Starting surface	Focal length
1	1	12.544
2	3	−8.154
3	5	5.982
4	7	−6.143
5	9	16.548
6	11	−39.691
7	13	−270.705

[0119] In the above embodiments 1 to 4, the values corresponding to the conditions of the above embodiments are shown in the following Table 21. In addition, in Table 21, conditional formula (1) is OAL2/OAL, conditional formula (2) is OAL/f, conditional formula (3) is |B|, conditional formula (4) is (1−b2²)×b3², and conditional formula (5) is f2/f.

[0120]

TABLE 21
Corresponding values of conditional formulas
	Embodi-	Embodi-	Embodi-	Embodi-
	ment	ment	ment	ment
	1	2	3	4
Conditional formula (1)	0.157	0.184	0.197	0.155
Conditional formula (2)	0.986	0.931	0.931	0.985
Conditional formula (3)	1.000	1.000	1.000	1.000
Conditional formula (4)	−5.813	−6.610	−6.916	−5.477
Conditional formula (5)	−0.482	−0.323	−0.349	−0.523
OAL2	3.408	1.990	2.124	3.350
OAL	21.680	10.800	10.800	21.680
f	21.999	11.600	11.598	21.999
| B |	1.000	1.000	1.000	1.000
b2	2.331	2.613	2.622	2.269
b3	1.145	1.065	1.085	1.149
f2	−10.613	−3.745	−4.044	−11.495

[0121] In order to indicate the present disclosure, while referring to the attached drawings, the present disclosure has been properly and fully explained through the embodiments, but those skilled in the art should realize that the above embodiments may be easily changed and/or improved. Therefore, as long as the alteration or improvement carried out by a person skilled in the art does not deviate from the scope of the claims recorded in the claims, the alteration or improvement shall be interpreted as being included in the scope of the rights of the claims.

• • [0122] 1 . . . photographing device, 2 . . . optical system, 20 . . . prism (reflective optical element), 21 . . . first lens group, 22 . . . second lens group, 221 . . . lens having the strongest positive refractive power in second lens group 22, 222 . . . lens having the strongest negative refractive power in second lens group 22, 23 . . . third lens group, 25 . . . filter, 26 . . . lens barrel, 3 . . . photographing element, 4 . . . liquid crystal screen, C . . . optical axis, F . . . focusing lens group, G . . . lens group.