CN218481701U - Eyepiece optical system - Google Patents
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- CN218481701U CN218481701U CN202222710924.3U CN202222710924U CN218481701U CN 218481701 U CN218481701 U CN 218481701U CN 202222710924 U CN202222710924 U CN 202222710924U CN 218481701 U CN218481701 U CN 218481701U
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Abstract
The utility model relates to an eyepiece optical system, it includes sharing the optical axis and from the first lens, second lens, third lens and the fourth lens that the image source arranged in order to people's eye side, first lens has positive diopter, the second lens has negative diopter, the third lens has diopter, the fourth lens has positive diopter; the material of the second lens satisfies the following conditional expression: 13.0-straw (vsdL2) -straw (23.0); wherein vdL2 is the abbe number of the second lens. The utility model overcomes optical system's colour difference realizes eyepoint, little distortion on a large scale, has excellent imaging performance.
Description
Technical Field
The utility model relates to an optical system, concretely relates to eyepiece optical system, its formation of image light that is applicable to display frames such as electronic viewfinder gets into the observer's eyes and forms images via eyepiece optical system.
Background
Since the digital camera was on the field, the commercialization of a camera equipped with an EVF (electronic viewfinder) was started. The conventional OVF (optical viewfinder) directly observes an image of an object through an optical system, and the operational principle of the EVF is to convert an image captured by a main lens of a camera to a display of the EVF and observe the image of the display with naked eyes through the optical system. The imaging shot by the main lens of the camera can be observed, the visual field rate reaches 100 percent, and the problem that the visual field during framing is inconsistent with the shot picture is solved. A simple eyepiece optical system for observing a display with the naked eye through a magnifying optical system simplifies the configuration of a camera.
Viewing displays with an enlarged viewing angle require eyepiece optics with positive refractive power. In such an optical system (see, for example, patent document CN 113031244), it is difficult to correct aberrations such as curvature of field and distortion. The optical performance of the optical system around the display is degraded by the influence of aberrations such as curvature of field and distortion. In addition, in an optical system having a positive refractive power, a certain portion of the lenses is required to have a strong refractive power, and thus, a shift or tilt in the parallel direction of the lenses causes a deviation in the visibility, that is, the decentering sensitivity tends to increase.
The viewfinder disclosed in the document (CN 113031244) has a short eye-catching framing distance, i.e. the eyepoint is small and generally distributed in 10-15 mm, because of the control cost and the size, and the eyepoint is generally greater than 17.5mm, which can meet the customer's requirement of the framing with glasses. Meanwhile, the distortion is larger than 3%, when the distortion is smaller than 3%, the use experience of a customer can be greatly improved, and even within 1.5%, the distortion problem cannot be found.
SUMMERY OF THE UTILITY MODEL
Problem to prior art existence, the utility model aims to provide an eyepiece optical system, it can realize eyepoint, little distortion on a large scale, has excellent imaging performance.
In order to realize the purpose, the utility model discloses a technical scheme is:
an eyepiece optical system includes a first lens, a second lens, a third lens and a fourth lens which are arranged in order from an image source to a human eye side in a common optical axis, the first lens has a positive diopter, the second lens has a negative diopter, the third lens has a diopter, and the fourth lens has a positive diopter; the material of the second lens satisfies the following conditional expression:
(1)13.0<vdL2<23.0
wherein vdL2 is the abbe number of the second lens, and is defined by vdL2= (NdL 2-1)/(NFL 2-NCL 2); ndL2 is the refractive index of the lens material used for the second lens at the light wavelength of 587.56nm, NFL2 is the refractive index of the lens material used for the second lens at the light wavelength of 486.14nm, and NCL2 is the refractive index of the lens material used for the second lens at the light wavelength of 656.27 nm.
The optical system further satisfies the following conditional expression:
(2)25<vdL1-vdL2<55；
wherein vdL1 is the abbe number of the first lens, and vdL2 is the abbe number of the second lens.
The optical system further satisfies the following conditional expression:
(3)1.51<NdL2<1.81。
where NdL2 is the refractive index of the second lens.
The optical system further satisfies the following conditional expression:
(4)0.08<TH1/Lt<0.20；
wherein TH1 is a central air space of the first lens and the second lens;
lt is the distance from the mirror surface of the first lens on the image source side to the human eye side mirror surface of the last lens.
The optical system further satisfies the following conditional expression:
(5)0.5<(f3+f)/(f3-f)<2.0；
where f3 is the focal length of the third lens, and f is the focal length of the entire optical system.
The optical system further satisfies the following conditional expression:
(6)0.10＜T23s＜0.50；
wherein T23s is an air space between the convex point of the third lens closest to the image source and the eye-side mirror surface of the second lens in the optical axis direction.
The optical system further satisfies the following conditional expression:
(8)0.1<Yd/f<0.7；
where Yd is the diagonal length of the image source and f is the focal length of the entire optical system.
The optical system further satisfies the following conditional expression:
(8)0.5<T1e/TH1<4.0
wherein T1e is an air interval in the optical axis direction from the first lens periphery to the second lens periphery;
TH1 is the central air space of the first and second lenses.
The optical system further satisfies the following condition:
the image source side mirror surface shape of the third lens is: concave relative to the center of the second lens and convex at the periphery.
The shape factor of the second lens satisfies the following conditional expression:
(10)1.0<q_L2<3.0
wherein q _ L2 is the form factor of the second lens, q _ L2= (r 2_ L2+ r1_ L2)/(r 2_ L2-r1_ L2);
r1_ L2 is the radius of curvature of the image source side lens surface of the second lens;
r2_ L2 is the radius of curvature of the eye-side surface of the second lens.
After the scheme is adopted, the utility model discloses set up optical system into by the first lens that has positive diopter, have negative diopter the second lens, have diopter the third lens and have positive diopter the fourth lens four pieces of lens constitute to the abbe number to the second lens limits, thereby overcomes optical system's colour difference, realizes eyepoint on a large scale, little distortion, has excellent imaging performance.
Drawings
FIG. 1 is a schematic structural diagram according to a first embodiment;
FIG. 2 is a graph of spherical aberration, astigmatism and distortion at 21mm, 1D diopter of an eye point according to an embodiment;
FIG. 3 is a diagram of the aberration along the horizontal axis at 21mm and-1D diopters for an eye point according to the first embodiment;
FIG. 4 is a schematic structural diagram according to a second embodiment;
FIG. 5 is a graph of spherical aberration, astigmatism and distortion at 21mm, 1D diopter for the eyepoint of the second embodiment;
FIG. 6 is a diagram of the aberration on the horizontal axis at 21mm and-1D diopters of the eye point of the second embodiment;
FIG. 7 is a schematic structural view of the third embodiment;
FIG. 8 is a plot of spherical aberration, astigmatism and distortion at 21mm and-1D diopters for eye point of example three;
FIG. 9 is a diagram of aberration along the horizontal axis at 21mm and-1D diopters of an eye point of the third embodiment;
FIG. 10 is a schematic structural view according to a fourth embodiment;
FIG. 11 is a plot of spherical aberration, astigmatism and distortion at 21mm and-1D diopters for eye point C of example four;
FIG. 12 is a diagram of aberration along the horizontal axis at 21mm and-1D diopters of an eye point in the fourth embodiment;
FIG. 13 is a schematic structural view according to the fifth embodiment;
FIG. 14 is a plot of spherical aberration, astigmatism and distortion at 21mm, 1D diopter for the eye point of example five;
FIG. 15 is a diagram of the aberration on the horizontal axis at 21mm and-1D diopters of the eye point of fifth embodiment.
Detailed Description
As shown in fig. 1, 4, 7, 10, and 13, the present invention discloses an eyepiece optical system in which imaging light suitable for a display screen such as an electronic viewfinder enters the eyes of an observer through the eyepiece optical system to form an image. The eyepiece optical system comprises four lenses which are coaxial and sequentially arranged from an image source IMG to a human eye EP side, wherein the four lenses comprise a first lens L1 with positive diopter, a second lens L2 with negative diopter, a third lens L3 with diopter and a fourth lens L4 with positive diopter. The lens group moves along the optical axis direction to adjust the visibility.
And, the material of the second lens L2 satisfies the following conditional expression:
(1)13.0<vdL2<23.0；
wherein vdL2 is the abbe number of the second lens L2, and is defined by vdL2= (NdL 2-1)/(NFL 2-NCL 2);
NdL2 is the refractive index of the lens material used by the second lens L2 at the light wavelength of 587.56 nm;
NFL2 is the refractive index of the lens material used for the second lens L2 at the light wavelength of 486.14 nm;
NCL2 is the refractive index of the lens material used for the second lens L2 at the light wavelength of 656.27 nm.
When the abbe number vdL2 of the negative lens of the second lens L2 is very small, the denominator (NFL 2-NCL 2) in the above-defined formula is large, and the chromatic aberration is remarkably deteriorated. Therefore, the chromatic aberration of the optical system can be effectively overcome by satisfying the conditional expressions.
The advantageous effect (overcoming chromatic aberration) described above is more preferably exhibited if the optical system satisfies at least one of the following conditions (1 a) and (1 b) in addition to the condition (1).
vdL2<22 (1a)；
15<vdL2 (1b)。
The advantageous effect (chromatic aberration) described above is more clearly exhibited if the optical system further satisfies at least one of the following conditions (1 c) and (1 d).
vdL2<21 (1c)；
18<vdL2 (1d)。
On the basis, the optical system also meets the following conditional expression (2), and the chromatic aberration of the optical system can be further effectively overcome.
(2)25<vdL1-vdL2<55；
Where vdL1 is the abbe number of the first lens L1, and vdL2 is the abbe number of the second lens L2.
In addition to the above, the optical system satisfies the following conditional expression (3), and can effectively suppress coma aberration and astigmatism.
(3)1.51<NdL2<1.81。
Where NdL2 is the refractive index of the second lens L2.
In order to effectively suppress the generation of spherical aberration in the central region of the light beam, the optical system further satisfies the following conditional expression (4):
(4)0.08<TH1/Lt<0.20
where TH1 is the central air interval of the first lens L1 and the second lens L2;
lt is the distance from the image source IMG side lens surface L1R1 of the first lens L1 to the eye EP side lens surface L4R2 of the last lens.
The optical system further satisfies the following conditional expression (5):
(5)0.5<(f3+f)/(f3-f)<2.0
where f3 is the focal length of the third lens L3, and f is the focal length of the entire optical system.
Satisfying the conditional expression (5) is advantageous for suppressing the entire length of the optical system and limiting the high local distortion of the intermediate image, and ensures the image quality even if the observer moves in a wide range in the direction perpendicular to the optical axis when viewing with the optical system.
The optical system further satisfies the following conditional expression (6):
(6)0.10＜T23s＜0.50
where T23s is an air space between a convex point of the third lens L3 closest to the image source (IMG) and the Eye (EP) -side mirror surface of the second lens L2 in the optical axis direction.
Satisfying the conditional expression (6) can effectively correct and correct the optical aberration of the middle area of the light beam, and is beneficial to the improvement of the full-picture imaging performance.
On the basis of the above, the optical system further satisfies the following conditional expression (7):
(7)0.1<Yd/f<0.7
where Yd is a diagonal length of the image source IMG, and f is a focal length of the entire optical system.
Satisfying conditional expression (7), the eyepiece lens system can be used in a wide range of light-emitting image sources.
On the basis, the optical system also satisfies the conditional expression (8):
(8)0.5<T1e/TH1<4.0
where T1e is an air interval in the optical axis direction from the periphery of the first lens L1 to the periphery of the second lens L2.
When the conditional expression (8) is satisfied, the generation of spherical aberration in the central region of the light beam can be effectively suppressed.
In order to facilitate correction of spherical aberration of a light beam, the optical system satisfies a condition (9):
(9) The third lens element L3 has a concave mirror surface shape on the image source IMG side with respect to the center of the second lens element L2 and a convex mirror surface shape on the periphery.
On the basis of the above, the shape factor q _ L2 of the second lens L2 satisfies the following conditional expression:
(10)1.0<q_L2<3.0
wherein q _ L2= (r 2_ L2+ r1_ L2)/(r 2_ L2-r1_ L2);
r1_ L2 is the radius of curvature of the image source IMG side surface of the second lens L2;
r2_ L2 is the radius of curvature of the EP-side lens surface of the second lens L2.
The conditional expression (10) is satisfied, and the suppression of the image difference of the light rays in the two directions of the meridian and the sagittal is facilitated.
In order to elaborate the technical solution of the present invention and the technical effects achieved, five embodiments will be listed below for detailed description.
Example one
The eyepiece optical system of the present embodiment includes a first lens L1, a second lens L2, a third lens L3, and a fourth lens L4 that are arranged in order from an image source to the human eye side, sharing an optical axis. The first lens L1 has positive diopter, the mirror surface on the image source side is concave towards the image source, and the mirror surface on the human eye side is convex towards the second lens L2. The second lens L2 has a negative refractive power, and the mirror surface on the image source side thereof is concave toward the third lens L3, and the mirror surface on the human eye side thereof is convex toward the third lens L3. The third lens L3 has diopter, and the mirror surface on the image source side thereof is concave with respect to the center of the second lens L2, and the periphery thereof is convex, and the mirror surface on the human eye side is convex toward the fourth lens L4. The fourth lens L4 has a positive refractive power, and the mirror surface on the image source side thereof is concave toward the third lens L3, and the mirror surface on the eye side thereof is convex toward the eye. The parameter settings for each lens are as follows:
optical parameters
Aspheric data
The 2 nd surface
K＝0.00000E+00,A4＝-7.96265E-04,A6＝1.82034E-05,A8＝-1.29475E-07 A10＝2.72813E-11,A12＝1.19154E-11,A14＝-5.81266E-14,A16＝0.00000E+00
No. 3 surface
K＝-1.03577E+00,A4＝7.34735E-04,A6＝-1.38819E-05,A8＝2.27638E-07 A10＝-2.26777E-09,A12＝1.57090E-11,A14＝-1.14301E-13,A16＝1.00784E-15
No. 4 surface
K＝-2.29126E+00,A4＝1.48796E-03,A6＝-4.19018E-05,A8＝5.13688E-07 A10＝-2.33554E-09,A12＝-5.02538E-11,A14＝4.89336E-13,A16＝1.79876E-15
The 5 th surface
K＝-1.62254E+01,A4＝7.75137E-04,A6＝-1.27581E-05,A8＝4.20211E-08 A10＝1.41518E-12,A12＝8.39273E-12,A14＝-9.79765E-14,A16＝3.25998E-16
The 6 th plane
K＝-1.57442E+01,A4＝3.56598E-04,A6＝-1.28126E-06,A8＝3.60884E-09 A10＝3.30838E-12,A12＝-7.63771E-13,A14＝1.91415E-14,A16＝-1.54125E-16
The 7 th plane
K＝-8.84490E+00,A4＝-1.65332E-04,A6＝1.87468E-06,A8＝-3.66825E-09 A10＝1.16183E-10,A12＝7.22034E-13,A14＝-3.43145E-14,A16＝1.37305E-16
The 8 th plane
K＝0.00000E+00,A4＝-2.43399E-04,A6＝5.94137E-06,A8＝-2.76936E-08 A10＝-2.67129E-10,A12＝-7.30553E-13,A14＝5.33206E-14,A16＝-2.47652E-16
The 9 th plane
K＝4.05032E-01,A4＝-1.06752E-04,A6＝2.70256E-06,A8＝-1.70938E-08 A10＝1.16730E-11,A12＝1.63248E-12,A14＝-2.66557E-14,A16＝1.86761E-16
Based on the above parameters, the parameters involved in the corresponding conditional expressions (1) to (10) of this embodiment are as follows:
| total optical length [ mm] | 26.15 |
| Maximum eye point [ mm ]] | 21.00 |
| Angle of vision [ ° ]] | 37.60 |
| Distortion [% ]] | -1.42 |
| vdL2 | 20.35 |
| vdL1-vdL2 | 35.28 |
| NdL2 | 1.6613 |
| TH1/Lt | 0.110 |
| (f3+f)/(f3-f) | 1.125 |
| T23s | 0.191 |
| Yd/f | 0.339 |
| T1e/TH1 | 1.734 |
| q_L2 | 2.184 |
TABLE 1
As can be seen from table 1, this example satisfies conditional expressions (1) to (10).
FIG. 2 is a graph of spherical aberration, astigmatism and distortion at 21mm and-1D diopters for the first embodiment, and it can be seen from FIG. 2 that the spherical aberration and astigmatism are within 0.2mm and the distortion is within 2%. FIG. 3 is a diagram of the horizontal axis aberration at 21mm and-1D diopter of the eye point in the first embodiment, and it can be seen from FIG. 3 that the horizontal axis aberration at the center of the screen of the present embodiment is close to 0 and the horizontal axis aberration of the peripheral 0.7 field area is controlled within + -0.1 mm.
As can be seen from table 1 and fig. 2 to 3, the eyepiece optical system of the present embodiment achieves a wide range of eyepoints, small distortion, and excellent imaging performance.
Example two
The eyepiece optical system of the present embodiment includes a first lens L1, a second lens L2, a third lens L3, and a fourth lens L4 that are arranged in order from an image source to the human eye side, sharing an optical axis. The first lens L1, the second lens L2, the third lens L3, and the fourth lens L4 of the present embodiment have the same shape as in the first embodiment, except for the parameters of the respective lenses. The parameters of each lens in the optical system of the present embodiment are set as follows:
optical parameters
Aspheric data
The 2 nd surface
K＝0.00000E+00,A4＝-5.49478E-04,A6＝1.43091E-05,A8＝7.20096E-08 A10＝-1.62557E-09,A12＝9.20814E-12,A14＝-5.81266E-14,A16＝0.00000E+00
No. 3 surface
K＝-8.62626E-01,A4＝8.79448E-04,A6＝-1.41582E-05,A8＝3.06370E-07 A10＝-2.91667E-09,A12＝2.13607E-11,A14＝-1.02126E-13,A16＝1.00784E-15
No. 4 surface
K＝-1.53659E+00,A4＝1.50930E-03,A6＝-4.07491E-05,A8＝5.30933E-07 A10＝-3.46479E-09,A12＝-3.20203E-11,A14＝3.81835E-13,A16＝1.72977E-15
The 5 th plane
K＝-2.24888E+00,A4＝7.51046E-04,A6＝-1.24179E-05,A8＝4.64651E-08 A10＝3.40747E-11,A12＝6.32260E-12,A14＝-8.65515E-14,A16＝3.41552E-16
The 6 th surface
K＝-2.33979E+01,A4＝3.55637E-04,A6＝-1.40788E-06,A8＝1.53099E-09 A10＝8.80041E-12,A12＝-4.29677E-13,A14＝1.80619E-14,A16＝-1.50752E-16
The 7 th plane
K＝-7.29150E+00,A4＝-1.43719E-04,A6＝2.42247E-06,A8＝-5.37382E-09 A10＝7.06449E-11,A12＝8.48904E-13,A14＝-3.15877E-14,A16＝1.20782E-16
The 8 th plane
K＝0.00000E+00,A4＝-1.97083E-04,A6＝5.88891E-06,A8＝-2.57762E-08 A10＝-1.92852E-10,A12＝-7.61566E-13,A14＝4.75451E-14,A16＝-2.48955E-16
The 9 th surface
K＝5.71975E-01,A4＝-9.55078E-05,A6＝2.61417E-06,A8＝-1.04953E-08 A10＝-6.16277E-12,A12＝1.63051E-12,A14＝-1.85195E-14,A16＝1.31463E-16
Based on the above parameters, the parameters involved in the corresponding conditional expressions (1) to (10) of this embodiment are as follows:
TABLE 2
As can be seen from table 2, the present example satisfies conditional expressions (1) to (10).
FIG. 5 is a graph of spherical aberration, astigmatism and distortion at 21mm and-1D diopters for an eye point of the second embodiment, and it can be seen from FIG. 5 that the spherical aberration and astigmatism are within 0.2mm and the distortion is within 2%. FIG. 6 is a diagram of the horizontal axis aberration at 21mm and-1D diopters of the eye point of the second embodiment, and it can be seen from FIG. 6 that the horizontal axis aberration at the center of the screen of the second embodiment is close to 0 and the horizontal axis aberration in the peripheral 0.7 field area is controlled within + -0.1 mm.
As can be seen from table 2 and fig. 5 to 6, the eyepiece optical system of the present embodiment realizes a wide range of eyepoints, small distortion, and excellent imaging performance.
EXAMPLE III
The eyepiece optical system of the present embodiment includes a first lens L1, a second lens L2, a third lens L3, and a fourth lens L4, which are arranged in order from an image source to the human eye side, sharing an optical axis. The first lens L1, the second lens L2, the third lens L3, and the fourth lens L4 of the present embodiment have the same shape as in the first embodiment, except for the parameters of the respective lenses. The parameters of each lens in the optical system of the present embodiment are set as follows:
aspherical data
The 2 nd surface
K＝0.00000E+00,A4＝-6.16151E-04,A6＝1.81730E-05,A8＝-2.58701E-07 A10＝1.47909E-09,A12＝1.24661E-11,A14＝-5.81266E-14,A16＝0.00000E+00
No. 3 surface
K＝-9.38235E-01,A4＝7.03012E-04,A6＝-1.22891E-05,A8＝2.23455E-07 A10＝-2.93945E-09,A12＝2.13237E-11,A14＝-1.11319E-13,A16＝1.00784E-15
No. 4 surface
K＝-1.17342E+00,A4＝1.42192E-03,A6＝-3.91562E-05,A8＝5.15615E-07 A10＝-5.28410E-09,A12＝-8.12788E-12,A14＝3.86337E-13,A16＝1.73396E-15
The 5 th surface
K＝-2.38715E+00,A4＝7.29013E-04,A6＝-1.28197E-05,A8＝4.77734E-08 A10＝9.78771E-11,A12＝6.25087E-12,A14＝-6.80858E-14,A16＝1.10874E-16
The 6 th plane
K＝-1.28118E+01,A4＝3.24198E-04,A6＝-1.17699E-06,A8＝4.46687E-09 A10＝3.51339E-11,A12＝-5.91237E-13,A14＝1.15301E-14,A16＝-1.32150E-16
The 7 th plane
K＝-6.53856E+00,A4＝-1.35380E-04,A6＝2.10060E-06,A8＝-7.03267E-09 A10＝8.17976E-11,A12＝8.86592E-13,A14＝-3.28803E-14,A16＝1.01869E-16
The 8 th plane
K＝0.00000E+00,A4＝-2.56510E-04,A6＝5.67412E-06,A8＝-2.97489E-08 A10＝-2.40206E-10,A12＝-8.81850E-13,A14＝4.50205E-14,A16＝-2.17768E-16
The 9 th plane
K＝3.59758E-01,A4＝-1.34255E-04,A6＝2.65794E-06,A8＝-1.38947E-08 A10＝-8.73773E-12,A12＝1.35435E-12,A14＝-2.24228E-14,A16＝1.55252E-16
Based on the above parameters, the parameters involved in conditional expressions (1) to (10) of the third embodiment are as follows:
| total optical length [ mm ]] | 25.94 |
| Maximum eye point [ mm ]] | 21.00 |
| Angle of vision [ ° ]] | 36.36 |
| Distortion [% ]] | -2.74 |
| vdL2 | 20.35 |
| vdL1-vdL2 | 35.34 |
| NdL2 | 1.6613 |
| TH1/Lt | 0.133 |
| (f3+f)/(f3-f) | 1.346 |
| T23s | 0.164 |
| Yd/f | 0.321 |
| T1e/TH1 | 1.528 |
| q_L2 | 2.106 |
TABLE 3
As can be seen from table 3, this example satisfies conditional expressions (1) to (10).
FIG. 8 is a graph of spherical aberration, astigmatism and distortion at 21mm and-1D diopters for an eye point of the third embodiment, and it can be seen from FIG. 8 that the spherical aberration and astigmatism are within 0.2mm and the distortion is within 2%. FIG. 9 is a diagram of the horizontal axis aberration at 21 mm-1D of eye point in the third embodiment, and it can be seen from FIG. 9 that the horizontal axis aberration at the center of the screen of the third embodiment is close to 0, and the horizontal axis aberration of the peripheral 0.7 field area is controlled within + -0.1 mm.
As can be seen from table 3 and fig. 8 to 9, the eyepiece optical system of this embodiment achieves a wide range of eyepoints, small distortion, and excellent imaging performance.
Example four
The eyepiece optical system of the present embodiment includes a first lens L1, a second lens L2, a third lens L3, and a fourth lens L4 that are arranged in order from an image source to the human eye side, sharing an optical axis. The first lens L1, the second lens L2, the third lens L3, and the fourth lens L4 of the present embodiment have the same shape as in the first embodiment, except for the parameters of the respective lenses. The parameters of each lens in the optical system of the present embodiment are set as follows:
optical parameters
Aspheric data
The 2 nd surface
K＝0.00000E+00,A4＝-4.86891E-04,A6＝1.50608E-05,A8＝-1.69118E-07 A10＝9.54904E-10,A12＝1.23589E-11,A14＝-5.81266E-14,A16＝0.00000E+00
The 3 rd surface
K＝-9.16833E-01,A4＝7.00708E-04,A6＝-1.12030E-05,A8＝2.25045E-07 A10＝-3.08924E-09,A12＝2.48900E-11,A14＝-1.11249E-13,A16＝1.00784E-15
The 4 th surface
K＝-1.29042E+00,A4＝1.45086E-03,A6＝-3.91560E-05,A8＝4.99673E-07 A10＝-3.84802E-09,A12＝-2.59691E-11,A14＝3.86481E-13,A16＝1.73396E-15
The 5 th surface
K＝-4.08747E+00,A4＝7.41847E-04,A6＝-1.27683E-05,A8＝4.60735E-08 A10＝5.70307E-11,A12＝6.23325E-12,A14＝-8.00417E-14,A16＝2.62612E-16
The 6 th surface
K＝-1.44695E+01,A4＝3.24628E-04,A6＝-1.24790E-06,A8＝3.33712E-09 A10＝2.31094E-11,A12＝-6.05850E-13,A14＝1.33440E-14,A16＝-1.17787E-16
The 7 th plane
K＝-6.90442E+00,A4＝-1.37938E-04,A6＝2.13644E-06,A8＝-7.36521E-09 A10＝6.83427E-11,A12＝8.84402E-13,A14＝-3.27861E-14,A16＝1.24715E-16
The 8 th surface
K＝0.00000E+00,A4＝-2.45967E-04,A6＝5.69657E-06,A8＝-2.92912E-08 A10＝-2.35778E-10,A12＝-8.94642E-13,A14＝4.58768E-14,A16＝-2.34033E-16
The 9 th surface
K＝5.01098E-01,A4＝-1.16270E-04,A6＝2.65072E-06,A8＝-1.36483E-08 A10＝-6.38334E-12,A12＝1.58296E-12,A14＝-2.13995E-14,A16＝1.29940E-16
Based on the above parameters, the parameters involved in conditional expressions (1) to (10) of the fourth embodiment are as follows:
| total optical length [ mm ]] | 26.32 |
| Maximum eye point [ mm ]] | 21.00 |
| Angle of vision [ ° ]] | 35.50 |
| Distortion [% ]] | -2.22 |
| vdL2 | 20.35 |
| vdL1-vdL2 | 35.34 |
| NdL2 | 1.6613 |
| TH1/Lt | 0.143 |
| (f3+f)/(f3-f) | 1.433 |
| T23s | 0.180 |
| Yd/f | 0.315 |
| T1e/TH1 | 1.558 |
| q_L2 | 2.045 |
TABLE 4
As can be seen from table 4, this example satisfies conditional expressions (1) to (10).
FIG. 11 is a graph showing spherical aberration, astigmatism and distortion at 21mm and-1D diopters for the eye point of the fourth embodiment, and it can be seen from FIG. 11 that the spherical aberration and astigmatism are all within 0.2mm and the distortion is within 2%. Fig. 12 is a diagram of the horizontal axis aberration at 21mm and-1D diopters of the eye point in the fourth embodiment, and it can be seen from fig. 12 that the horizontal axis aberration at the center of the screen in the present embodiment is close to 0 and the horizontal axis aberration in the peripheral 0.7 field area is controlled within ± 0.1 mm.
As can be seen from table 4 and fig. 11 to 12, the eyepiece optical system of this embodiment realizes a wide range of eyepoints, small distortion, and excellent imaging performance.
EXAMPLE five
The eyepiece optical system of the present embodiment includes a first lens L1, a second lens L2, a third lens L3, and a fourth lens L4 that are arranged in order from an image source to the human eye side, sharing an optical axis. The first lens element L1 and the second lens element L2 of this embodiment are the same as those of the first embodiment, and are not repeated herein, the third lens element L3 of this embodiment has diopter, the mirror surface at the image source side is concave towards the second lens element L2, and the mirror surface at the human eye side is convex towards the fourth lens element L4. The fourth lens L4 has a positive refractive power, and the mirror surface on the image source side thereof is convex toward the third lens L3, and the mirror surface on the eye side thereof is convex toward the human eye. The parameter settings of each lens in the optical system of the present embodiment are as follows:
optical parameters
Aspherical data
The 2 nd surface
K＝0.00000E+00,A4＝-5.58970E-04,A6＝1.31992E-05,A8＝-1.88168E-07 A10＝3.58112E-10,A12＝1.70645E-11,A14＝-5.81266E-14,A16＝0.00000E+00
No. 3 surface
K＝-8.11260E-01,A4＝7.81733E-04,A6＝-1.18819E-05,A8＝1.52812E-07 A10＝-1.51655E-09,A12＝1.15945E-11,A14＝-1.26671E-13,A16＝1.00784E-15
No. 4 surface
K＝-2.18567E+00,A4＝1.27665E-03,A6＝-4.33478E-05,A8＝6.18947E-07 A10＝-5.78105E-09,A12＝-1.33657E-11,A14＝4.28034E-13,A16＝1.42141E-15
The 5 th surface
K＝8.71855E+00,A4＝6.67677E-04,A6＝-1.21955E-05,A8＝5.52583E-08 A10＝6.79104E-11,A12＝4.52487E-12,A14＝-7.48380E-14,A16＝3.11378E-16
The 6 th surface
K＝-7.90436E-01,A4＝3.93766E-04,A6＝-9.54495E-07,A8＝-1.43785E-09 A10＝-6.26800E-11,A12＝-6.04237E-13,A14＝1.51678E-14,A16＝-7.18677E-17
The 7 th plane
K＝-3.34738E+00,A4＝-2.12720E-04,A6＝1.59603E-06,A8＝-1.34211E-08 A10＝7.38900E-11,A12＝1.28799E-12,A14＝-2.55778E-14,A16＝1.04431E-16
The 8 th plane
K＝0.00000E+00,A4＝-3.00987E-04,A6＝5.32518E-06,A8＝-2.14029E-08 A10＝-1.64496E-10,A12＝-9.06335E-13,A14＝3.22210E-14,A16＝-1.24315E-16
The 9 th plane
K＝-7.45758E+00,A4＝-1.96315E-04,A6＝2.23249E-06,A8＝4.07412E-10 A10＝-1.10340E-10,A12＝1.13187E-12,A14＝-1.50199E-14,A16＝9.09292E-17
Based on the above parameters, the parameters involved in conditional expressions (1) to (10) of this example five correspond to the following:
| total optical length [ mm] | 26.95 |
| Maximum eye point [ mm ]] | 21.00 |
| Angle of vision [ ° ]] | 37.06 |
| Distortion [% ]] | -1.32 |
| vdL2 | 20.35 |
| vdL1-vdL2 | 35.34 |
| NdL2 | 1.6613 |
| TH1/Lt | 0.114 |
| (f3+f)/(f3-f) | 0.882 |
| T23s | 0.185 |
| Yd/f | 0.335 |
| T1e/TH1 | 1.650 |
| q_L2 | 1.581 |
TABLE 5
As can be seen from table 5, this example satisfies conditional expressions (1) to (10).
FIG. 14 is a graph showing the spherical aberration, astigmatism and distortion at 21mm and-1D diopters for the eye point of example V, and it can be seen from FIG. 14 that the spherical aberration and astigmatism are all within 0.2mm and the distortion is within 2%. Fig. 15 is a diagram of the horizontal axis aberration at 21mm and-1D diopters of the eye point of the fifth embodiment, and it can be seen from fig. 15 that the horizontal axis aberration at the center of the screen of the present embodiment is close to 0 and the horizontal axis aberration in the peripheral 0.7 field area is controlled within ± 0.1 mm.
As can be seen from table 5 and fig. 14 to 15, the eyepiece optical system of this embodiment realizes a wide range of eyepoints, small distortion, and excellent imaging performance.
The above description is only an embodiment of the present invention, and is not intended to limit the technical scope of the present invention, so that any slight modification, equivalent change and modification made by the technical essence of the present invention to the above embodiments still belong to the scope of the technical solution of the present invention.
Claims (10)
1. An eyepiece optical system characterized by: the optical lens comprises a first lens, a second lens, a third lens and a fourth lens which are coaxial and are sequentially arranged from an image source to a human eye side, wherein the first lens has positive diopter, the second lens has negative diopter, the third lens has diopter, and the fourth lens has positive diopter; the material of the second lens satisfies the following conditional expression:
(1)13.0<vdL2<23.0
wherein vdL2 is the abbe number of the second lens, and is defined by vdL2= (NdL 2-1)/(NFL 2-NCL 2); ndL2 is the refractive index of the lens material used for the second lens at the light wavelength of 587.56nm, NFL2 is the refractive index of the lens material used for the second lens at the light wavelength of 486.14nm, and NCL2 is the refractive index of the lens material used for the second lens at the light wavelength of 656.27 nm.
2. An eyepiece optical system as recited in claim 1, wherein: the optical system further satisfies the following conditional expression:
(2)25<vdL1-vdL2<55；
wherein vdL1 is the abbe number of the first lens, and vdL2 is the abbe number of the second lens.
3. An eyepiece optical system according to claim 1, wherein: the optical system further satisfies the following conditional expression:
(3)1.51<NdL2<1.81；
where NdL2 is the refractive index of the second lens.
4. An eyepiece optical system according to claim 1, wherein: the optical system further satisfies the following conditional expression:
(4)0.08<TH1/Lt<0.20；
wherein TH1 is the central air space of the first and second lenses;
lt is the distance from the image source side mirror surface of the first lens to the eye side mirror surface of the last lens.
5. An eyepiece optical system as recited in claim 1, wherein: the optical system further satisfies the following conditional expression:
(5)0.5<(f3+f)/(f3-f)<2.0；
where f3 is the focal length of the third lens, and f is the focal length of the entire optical system.
6. An eyepiece optical system as recited in claim 1, wherein: the optical system further satisfies the following conditional expression:
(6)0.10＜T23s＜0.50；
wherein, T23s is the air space between the convex point of the third lens closest to the image source and the eye-side mirror surface of the second lens in the optical axis direction.
7. An eyepiece optical system as recited in claim 1, wherein: the optical system further satisfies the following conditional expression:
(7)0.1<Yd/f<0.7；
where Yd is the diagonal length of the image source and f is the focal length of the entire optical system.
8. An eyepiece optical system according to claim 1, wherein: the optical system further satisfies the following conditional expression:
(8)0.5<T1e/TH1<4.0
wherein T1e is an air interval in the optical axis direction from the first lens periphery to the second lens periphery;
TH1 is the central air space of the first and second lenses.
9. An eyepiece optical system as recited in claim 1, wherein: the optical system further satisfies the following condition:
the image source side mirror surface shape of the third lens is: concave with respect to the center of the second lens and convex at the periphery.
10. An eyepiece optical system as recited in claim 1, wherein: the shape factor of the second lens satisfies the following conditional expression:
(10)1.0<q_L2<3.0
wherein q _ L2 is the form factor of the second lens, q _ L2= (r 2_ L2+ r1_ L2)/(r 2_ L2-r1_ L2);
r1_ L2 is the radius of curvature of the image source side lens surface of the second lens;
r2_ L2 is the radius of curvature of the eye-side surface of the second lens.
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