The present invention generally relates to an optical imaging lens. Specifically speaking, the present invention is directed to an optical imaging lens for using in a portable electronic device such as a mobile phone, a camera, a tablet personal computer, a personal digital assistant (PDA), or a head-mounted display for taking pictures or for recording videos.
In recent years, the optical imaging lens element is constantly evolving, and its application scope is wider. Besides requiring the optical imaging lens to be thin, light and short, the design of small f-number (Fno) is beneficial to increase the luminous flux, and the large field of view has gradually become the market trend. In addition, in order to improve the pixels and resolution, the image height of the optical imaging lens must be increased, and the larger image sensor is used to receive the imaging rays to meet the requirements of high pixels and high resolution. Therefore, how to design an optical imaging lens with light, thin, short, small f-number, large image height and good imaging quality has become a problem to be challenged and solved.
Embodiments of the present invention provide an optical imaging lens having eight lens elements with smaller Fno, larger image height and good imaging quality.
In an embodiment of the present invention, the third lens element has positive refracting power, the periphery region of the object-side surface of the third lens element is concave, the optical axis region of the object-side surface of the fifth lens element is concave, the periphery region of the object-side surface of the eighth lens element is convex, and the optical axis region of the image-side surface of the eighth lens element is concave. Lens elements included by the optical imaging lens are only the eight lens elements described above, and the optical imaging lens satisfies the relationship: (EFL+AAG)/ALT≥2.200.
In another embodiment of the present invention, the third lens element has positive refracting power, the periphery region of the object-side surface of the third lens element is concave, the optical axis region of the object-side surface of the fifth lens element is concave, the periphery region of the object-side surface of the seventh lens element is concave, and the periphery region of the object-side surface of the eighth lens element is convex. Lens elements included by the optical imaging lens are only the eight lens elements described above, and the optical imaging lens satisfies the relationship: (EFL+AAG)/ALT≥2.200.
In another embodiment of the present invention, the periphery region of the image-side surface of the third lens element is convex, the fourth lens element has negative refracting power, the optical axis region of the object-side surface of the fifth lens element is concave, the optical axis region of the image-side surface of the seventh lens element is concave, and the periphery region of the object-side surface of the eighth lens element is convex. Lens elements included by the optical imaging lens are only the eight lens elements described above, and the optical imaging lens satisfies the relationship: (EFL+AAG)/ALT≥2.200.
In another embodiment of the present invention, the first lens element has positive refracting power, the third lens element has positive refracting power, the periphery region of the image-side surface of the third lens element is convex, the optical axis region of the object-side surface of the fifth lens element is concave, the optical axis region of the image-side surface of the seventh lens element is concave, and the periphery region of the object-side surface of the eighth lens element is convex. Lens elements included by the optical imaging lens are only the eight lens elements described above, and the optical imaging lens satisfies the relationship: (EFL+AAG)/ALT≥2.200.
In the optical imaging lens of the present invention, the embodiments may also selectively satisfy the following optical relationships:
V4+V5+V6+V7≤175.000;
G23/(G12+G34)≥1.000;
(T7+G78)/(T6+G67)≥1.400;
TL/(T1+T7)≤7.000;
TTL/(G23+G56+G78)≤4.000;
ALT/(G23+BFL)≤3.100;
V2+V3+V4+V6≤160.000;
G56/(G34+G45)≥1.950;
T7/T3≥0.900;
EFL/(T2+T3+T4)≥5.000;
TTL/(AAG+BFL)≤2.100;
(T4+G45+T5+G56+T6)/T1≤4.000;
|V5−V6|≤10.000;
(T7+G78+T8)/(G12+T2)≥3.400;
(T5+G56+T6)/T7≤3.500;
BFL/(G67+T8)≤1.950; and
TL/AAG≤2.300.
In the present invention, T1 is a thickness of the first lens element along the optical axis, T2 is a thickness of the second lens element along the optical axis, T3 is a thickness of the third lens element along the optical axis, T4 is a thickness of the fourth lens element along the optical axis, T5 is a thickness of the fifth lens element along the optical axis, T6 is a thickness of the sixth lens element along the optical axis, T7 is a thickness of the seventh lens element along the optical axis, T8 is a thickness of the eighth lens element along the optical axis, G12 is an air gap between the first lens element and the second lens element along the optical axis, G23 is an air gap between the second lens element and the third lens element along the optical axis, G34 is an air gap between the third lens element and the fourth lens element along the optical axis, G45 is an air gap between the fourth lens element and the fifth lens element along the optical axis, G56 is an air gap between the fifth lens element and the sixth lens element along the optical axis, G67 is an air gap between the sixth lens element and the seventh lens element along the optical axis, G78 is an air gap between the seventh lens element and the eighth lens element along the optical axis, ALT is a sum of thicknesses of the eight lens elements from the first lens element to the eighth lens element along the optical axis, TL is a distance from the object-side surface of the first lens element to the image-side surface of the eighth lens element along the optical axis, TTL is the distance from the object-side surface of the first lens element to an image plane along the optical axis, BFL is a distance from the image-side surface of the eighth lens element to the image plane along the optical axis, AAG is a sum of seven air gaps from the first lens element to the eighth lens element along the optical axis, EFL is an effective focal length of the optical imaging lens.
In addition, V2 is an Abbe number of the second lens element; V3 is an Abbe number of the third lens element; V4 is an Abbe number of the fourth lens element; V5 is an Abbe number of the fifth lens element; V6 is an Abbe number of the sixth lens element; V7 is an Abbe number of the seventh lens element.
These and other objectives of the present invention will no doubt become obvious to those of ordinary skill in the art after reading the following detailed description of the preferred embodiment that is illustrated in the various figures and drawings.
The terms “optical axis region”, “periphery region”, “concave”, and “convex” used in this specification and claims should be interpreted based on the definition listed in the specification by the principle of lexicographer.
In the present disclosure, the optical system may comprise at least one lens element to receive imaging rays that are incident on the optical system over a set of angles ranging from parallel to an optical axis to a half field of view (HFOV) angle with respect to the optical axis. The imaging rays pass through the optical system to produce an image on an image plane. The term “a lens element having positive refracting power (or negative refracting power)” means that the paraxial refracting power of the lens element in Gaussian optics is positive (or negative). The term “an object-side (or image-side) surface of a lens element” refers to a specific region of that surface of the lens element at which imaging rays can pass through that specific region. Imaging rays include at least two types of rays: a chief ray Lc and a marginal ray Lm (as shown in
When a surface of the lens element has at least one transition point, the region of the surface of the lens element from the central point to the first transition point TP1 is defined as the optical axis region, which includes the central point. The region located radially outside of the farthest transition point (the Nth transition point) from the optical axis I to the optical boundary OB of the surface of the lens element is defined as the periphery region. In some embodiments, there may be intermediate regions present between the optical axis region and the periphery region, with the number of intermediate regions depending on the number of the transition points. When a surface of the lens element has no transition point, the optical axis region is defined as a region of 0%-50% of the distance between the optical axis I and the optical boundary OB of the surface of the lens element, and the periphery region is defined as a region of 50%-100% of the distance between the optical axis I and the optical boundary OB of the surface of the lens element.
The shape of a region is convex if a collimated ray being parallel to the optical axis I and passing through the region is bent toward the optical axis I such that the ray intersects the optical axis I on the image side A2 of the lens element. The shape of a region is concave if the extension line of a collimated ray being parallel to the optical axis I and passing through the region intersects the optical axis I on the object side A1 of the lens element.
Additionally, referring to
Referring to
Alternatively, there is another way for a person having ordinary skill in the art to determine whether an optical axis region is convex or concave by referring to the sign of “Radius of curvature” (the “R” value), which is the paraxial radius of shape of a lens surface in the optical axis region. The R value is commonly used in conventional optical design software such as Zemax and CodeV. The R value usually appears in the lens data sheet in the software. For an object-side surface, a positive R value defines that the optical axis region of the object-side surface is convex, and a negative R value defines that the optical axis region of the object-side surface is concave. Conversely, for an image-side surface, a positive R value defines that the optical axis region of the image-side surface is concave, and a negative R value defines that the optical axis region of the image-side surface is convex. The result found by using this method should be consistent with the method utilizing intersection of the optical axis by rays/extension lines mentioned above, which determines surface shape by referring to whether the focal point of a collimated ray being parallel to the optical axis I is on the object-side or the image-side of a lens element. As used herein, the terms “a shape of a region is convex (concave),” “a region is convex (concave),” and “a convex-(concave-) region,” can be used alternatively.
In general, the shape of each region demarcated by the transition point will have an opposite shape to the shape of the adjacent region(s). Accordingly, the transition point will define a transition in shape, changing from concave to convex at the transition point or changing from convex to concave. In
The periphery region Z2 of the object-side surface 410, which is also convex, is defined between the second transition point TP2 and the optical boundary OB of the object-side surface 410 of the lens element 400. Further, intermediate region Z3 of the object-side surface 410, which is concave, is defined between the first transition point TP1 and the second transition point TP2. Referring once again to
As shown in
Furthermore, the optical imaging lens 1 includes an aperture stop (ape. stop) 2 disposed in an appropriate position. In
Each lens element in the optical imaging lens 1 of the present invention has an object-side surface facing toward the object side A1 as well as an image-side surface facing toward the image side A2. For example, the first lens element 10 has an object-side surface 11 and an image-side surface 12; the second lens element 20 has an object-side surface 21 and an image-side surface 22; the third lens element 30 has an object-side surface 31 and an image-side surface 32; the fourth lens element 40 has an object-side surface 41 and an image-side surface 42; the fifth lens element 50 has an object-side surface 51 and an image-side surface 52; the sixth lens element 60 has an object-side surface 61 and an image-side surface 62; the seventh lens element 70 has an object-side surface 71 and an image-side surface 72; and the eighth lens element 80 has an object-side surface 81 and an image-side surface 82. In addition, each object-side surface and image-side surface in the optical imaging lens 1 of the present invention has an optical axis region and a periphery region.
Each lens element in the optical imaging lens 1 of the present invention further has a thickness T along the optical axis I. For example, the first lens element 10 has a first lens element thickness T1, the second lens element 20 has a second lens element thickness T2, the third lens element 30 has a third lens element thickness T3, the fourth lens element 40 has a fourth lens element thickness T4, the fifth lens element 50 has a fifth lens element thickness T5, the sixth lens element 60 has a sixth lens element thickness T6, the seventh lens element 70 has a seventh lens element thickness T7, the eighth lens element 80 has an eighth lens element thickness T8. Therefore, the sum of the thicknesses of eight lens elements from the first lens element 10 to the eighth lens element 80 in the optical imaging lens 1 along the optical axis I is ALT=T1+T2+T3+T4+T5+T6+T7+T8. Tavg is the average value of the thicknesses of eight lens elements from the first lens element 10 to the eighth lens element 80 along the optical axis I, that is, Tavg=ALT/8. Tmax is the maximum value of the thicknesses of eight lens elements from the first lens element 10 to the eighth lens element 80 along the optical axis I, that is, the maximum value of T1, T2, T3, T4, T5, T6, T7 and T8. Tmin is the minimum value of the thicknesses of eight lens elements from the first lens element 10 to the eighth lens element 80 along the optical axis I, that is, the minimum value of T1, T2, T3, T4, T5, T6, T7 and T8.
In addition, between two adjacent lens elements in the optical imaging lens 1 of the present invention there may be an air gap along the optical axis I. For example, G12 is an air gap between the first lens element 10 and the second lens element 20, G23 is an air gap between the second lens element 20 and the third lens element 30, G34 is an air gap between the third lens element 30 and the fourth lens element 40, G45 is an air gap between the fourth lens element 40 and the fifth lens element 50, G56 is an air gap between the fifth lens element 50 and the sixth lens element 60, G67 is an air gap between the sixth lens element 60 and the seventh lens element 70 as well as G78 is an air gap between the seventh lens element 70 and the eighth lens element 80. Therefore, the sum of seven air gaps from the first lens element 10 to the eighth lens element 80 along the optical axis I is AAG=G12+G23+G34+G45+G56+G67+G78.
In addition, a distance from the object-side surface 11 of the first lens element 10 to the image plane 4 along the optical axis I is TTL, namely a system length of the optical imaging lens 1; an effective focal length of the optical imaging lens element is EFL; a distance from the object-side surface 11 of the first lens element 10 to the image-side surface 82 of the eighth lens element 80 along the optical axis I is TL; HFOV stands for the half field of view which is half of the field of view of the entire optical imaging lens element system; ImgH is an image height of the optical imaging lens 1, and Fno is a f-number of the optical imaging lens 1.
When the filter 3 is placed between the eighth lens element 80 and the image plane 4, an air gap between the eighth lens element 80 and the filter 3 along the optical axis I is G8F; a thickness of the filter 3 along the optical axis I is TF; an air gap between the filter 3 and the image plane 4 along the optical axis I is GFP; and a distance from the image-side surface 82 of the eighth lens element 80 to the image plane 4 along the optical axis I is BFL, namely the back focal length of the optical imaging lens 1. Therefore, BFL=G8F+TF+GFP.
Furthermore, a focal length of the first lens element 10 is f1; a focal length of the second lens element 20 is f2; a focal length of the third lens element 30 is f3; a focal length of the fourth lens element 40 is f4; a focal length of the fifth lens element 50 is f5; a focal length of the sixth lens element 60 is f6; a focal length of the seventh lens element 70 is f7; a focal length of the eighth lens element 80 is f8; a refractive index of the first lens element 10 is n1; a refractive index of the second lens element 20 is n2; a refractive index of the third lens element 30 is n3; a refractive index of the fourth lens element 40 is n4; a refractive index of the fifth lens element 50 is n5; a refractive index of the sixth lens element 60 is n6; a refractive index of the seventh lens element 70 is n7; a refractive index of the eighth lens element 80 is n8; an Abbe number of the first lens element 10 is V1; an Abbe number of the second lens element 20 is V2; an Abbe number of the third lens element 30 is V3; and an Abbe number of the fourth lens element 40 is V4; an Abbe number of the fifth lens element 50 is V5; an Abbe number of the sixth lens element 60 is V6; an Abbe number of the seventh lens element 70 is V7; and an Abbe number of the eighth lens element 80 is V8.
Please refer to
Only the eight lens elements 10, 20, 30, 40, 50, 60, 70 and 80 of the optical imaging lens 1 of the first embodiment have refracting power. The optical imaging lens 1 also has an aperture stop 2, a filter 3, and an image plane 4. The aperture stop 2 is disposed on the side of the first lens element 10 facing the object side A1.
The first lens element 10 has positive refracting power. An optical axis region 13 of the object-side surface 11 of the first lens element 10 is convex, and a periphery region 14 of the object-side surface 11 of the first lens element 10 is convex. An optical axis region 16 of the image-side surface 12 of the first lens element 10 is concave, and a periphery region 17 of the image-side surface 12 of the first lens element 10 is concave. Besides, both the object-side surface 11 and the image-side surface 12 of the first lens element 10 are aspheric surfaces, but it is not limited thereto.
The second lens element 20 has negative refracting power. An optical axis region 23 of the object-side surface 21 of the second lens element 20 is convex, and a periphery region 24 of the object-side surface 21 of the second lens element 20 is convex. An optical axis region 26 of the image-side surface 22 of the second lens element 20 is concave, and a periphery region 27 of the image-side surface 22 of the second lens element 20 is concave. Besides, both the object-side surface 21 and the image-side surface 22 of the second lens element 20 are aspheric surfaces, but it is not limited thereto.
The third lens element 30 has positive refracting power. An optical axis region 33 of the object-side surface 31 of the third lens element 30 is concave, and a periphery region 34 of the object-side surface 31 of the third lens element 30 is concave. An optical axis region 36 of the image-side surface 32 of the third lens element 30 is convex, and a periphery region 37 of the image-side surface 32 of the third lens element 30 is convex. Besides, both the object-side surface 31 and the image-side surface 32 of the third lens element 30 are aspheric surfaces, but it is not limited thereto.
The fourth lens element 40 has negative refracting power. An optical axis region 43 of the object-side surface 41 of the fourth lens element 40 is convex, and a periphery region 44 of the object-side surface 41 of the fourth lens element 40 is concave. An optical axis region 46 of the image-side surface 42 of the fourth lens element 40 is concave, and a periphery region 47 of the image-side surface 42 of the fourth lens element 40 is convex. Besides, both the object-side surface 41 and the image-side surface 42 of the fourth lens element 40 are aspheric surfaces, but it is not limited thereto.
The fifth lens element 50 has positive refracting power. An optical axis region 53 of the object-side surface 51 of the fifth lens element 50 is concave, and a periphery region 54 of the object-side surface 51 of the fifth lens element 50 is concave. An optical axis region 56 of the image-side surface 52 of the fifth lens element 50 is convex, and a periphery region 57 of the image-side surface 52 of the fifth lens element 50 is convex. Besides, both the object-side surface 51 and the image-side surface 52 of the fifth lens element 50 are aspheric surfaces, but it is not limited thereto.
The sixth lens element 60 has positive refracting power. An optical axis region 63 of the object-side surface 61 of the sixth lens element 60 is concave, and a periphery region 64 of the object-side surface 61 of the sixth lens element 60 is concave. An optical axis region 66 of the image-side surface 62 of the sixth lens element 60 is convex, and a periphery region 67 of the image-side surface 62 of the sixth lens element 60 is convex. Besides, both the object-side surface 61 and the image-side surface 62 of the sixth lens element 60 are aspheric surfaces, but it is not limited thereto.
The seventh lens element 70 has positive refracting power. An optical axis region 73 of the object-side surface 71 of the seventh lens element 70 is convex, and a periphery region 74 of the object-side surface 71 of the seventh lens element 70 is concave. An optical axis region 76 of the image-side surface 72 of the seventh lens element 70 is concave, and a periphery region 77 of the image-side surface 72 of the seventh lens element 70 is convex. Besides, both the object-side surface 71 and the image-side surface 72 of the seventh lens element 70 are aspheric surfaces, but it is not limited thereto.
The eighth lens element 80 has negative refracting power. An optical axis region 83 of the object-side surface 81 of the eighth lens element 80 is concave, and a periphery region 84 of the object-side surface 81 of the eighth lens element 80 is convex. An optical axis region 86 of the image-side surface 82 of the eighth lens element 80 is concave, and a periphery region 87 of the image-side surface 82 of the eighth lens element 80 is convex. Besides, both the object-side surface 81 and the image-side surface 82 of the eighth lens element 80 are aspheric surfaces, but it is not limited thereto.
In the first lens element 10, the second lens element 20, the third lens element 30, the fourth lens element 40, the fifth lens element 50, the sixth lens element 60, the seventh lens element 70 and the eighth lens element 80 of the optical imaging lens element 1 of the present invention, there are 16 surfaces, such as the object-side surfaces 11/21/31/41/51/61/71/81 and the image-side surfaces 12/22/32/42/52/62/72/82. If a surface is aspheric, these aspheric coefficients are defined according to the following formula:
In which:
Y represents a vertical distance from a point on the aspheric surface to the optical axis;
Z represents the depth of an aspheric surface (the perpendicular distance between the point of the aspheric surface at a distance Y from the optical axis and the tangent plane of the vertex on the optical axis of the aspheric surface);
R represents the radius of curvature the lens element surface;
K is a conic constant; and a2i is the aspheric coefficient of the 2ith order, in which the a2 coefficient of each embodiment is 0.
The optical data of the first embodiment of the optical imaging lens 1 are shown in
Please refer to
The optical data of the second embodiment of the optical imaging lens are shown in
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The optical data of the third embodiment of the optical imaging lens are shown in
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The optical data of the fourth embodiment of the optical imaging lens are shown in
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The optical data of the fifth embodiment of the optical imaging lens are shown in
Please refer to
The optical data of the sixth embodiment of the optical imaging lens are shown in
Please refer to
The optical data of the seventh embodiment of the optical imaging lens are shown in
Please refer to
The optical data of the eighth embodiment of the optical imaging lens are shown in
Some important ratios in each embodiment are shown in
Each embodiment of the present invention provides an optical imaging lens which has good imaging quality. For example, the following lens element concave or convex configuration may effectively reduce the field curvature aberration and the distortion aberration to optimize the imaging quality of the optical imaging lens. Furthermore, the present invention has the corresponding advantages:
1. When the third lens element 30 has positive refracting power, the periphery region 34 of the object-side surface 31 of the third lens element 30 is concave, the optical axis region 53 of the object-side surface 51 of the fifth lens element 50 is concave, the aberration caused by the first two lens elements (the first lens element 10 and the second lens element 20) can be corrected. If any of the following two groups of relationships can be satisfied, the aberration of the edge of the image plane can be converged: (a) the periphery region 84 of the object-side surface 81 of the eighth lens element 80 is convex and the optical axis region 86 of the image-side surface 82 of the eighth lens element 80 is concave or (b) the periphery region 84 of the object-side surface 81 of the eighth lens element 80 is convex and the periphery region 74 of the object-side surface 71 of the seventh lens element 70 is concave. Therefore, the optical imaging lens has good imaging quality. When the lens parameters are further controlled to meet the limit of (EFL+AAG)/ALT≥2.200, the volume of the optical imaging lens can be effectively reduced, in which the preferable range is 2.200≤(EFL+AAG)/ALT≤3.300.
2. If the above invention is further designed to make the first lens element 10 has positive refracting power, it is beneficial to collect large-angle imaging rays, and it is matched with the design that the periphery region 84 of the object-side surface 81 of the eighth lens element 80 is convex to control the distortion aberration.
3. When the periphery region 37 of the image-side surface 32 of the third lens element 30 is convex and the optical axis region 53 of the object-side surface 51 of the fifth lens element 50 is concave, the aberration caused by the first two lens elements (the first lens element 10 and the second lens element 20) can be corrected, and when the optical axis region 76 of the image-side surface 72 of the seventh lens element 70 is concave and the periphery region 84 of the object-side surface 81 of the eighth lens element 80 is convex, the field curvature aberration can be improved, and make the optical imaging lens have good imaging quality. When (a) the fourth lens element 40 has negative refracting power or (b) the third lens element 30 has positive refracting power are satisfied, the longitudinal spherical aberration of the optical imaging lens can be improved. When the lens parameters are further controlled to meet the limit of (EFL+AAG)/ALT≥2.200, the volume of the optical imaging lens can be effectively reduced, in which the preferable range is 2.200≤(EFL+AAG)/ALT≤3.300.
4. If the above invention is further designed to make the first lens element 10 has positive refracting power, it is beneficial to collect large-angle imaging rays, and it is matched with the design that the periphery region 84 of the object-side surface 81 of the eighth lens element 80 is convex to control the distortion aberration.
5. When the lens element's material meets the configuration relationship listed in Table 1 below, it is beneficial to the transmission and deflection of imaging rays, and effectively improves the chromatic aberration and the image resolution.
6. In order to shorten the system length of optical imaging lens, the air gap between lens elements or thickness of the lens elements can be adjusted appropriately, but the difficulty of manufacturing and the imaging quality must be considered at the same time. Therefore, if the numerical limits of the following conditions are satisfied, the better configuration can be obtained. When the preferable ranges are satisfied, it can improve the aberration and distortion of optical imaging lens, and when the better ranges are satisfied, it can further improve the spherical aberration:
By observing three representative wavelengths of lights in each embodiment of the present invention, it is suggested off-axis light of different heights of every wavelength all concentrates on the image plane, and deviations of every curve also reveal that off-axis light of different heights are well controlled so the embodiments do improve the spherical aberration, the astigmatic aberration and the distortion aberration. In addition, by observing the imaging quality data the distances amongst the three representing different wavelengths of lights are pretty close to one another, which means the embodiments of the present invention are able to concentrate light of the three representing different wavelengths so that the aberration is greatly improved. Given the above, it is understood that the embodiments of the present invention provides outstanding imaging quality.
In addition, any arbitrary combination of the parameters of the embodiments can be selected to increase the lens limitation so as to facilitate the design of the same structure of the present invention.
In the light of the unpredictability of the optical imaging lens, the present invention suggests the above principles to have a shorter system length of the optical imaging lens, a smaller f-number, a larger image height, better imaging quality or a better fabrication yield to overcome the drawbacks of prior art. And by use of plastic material for the lens element of the present invention can further reduce the weight and cost of the optical imaging lens.
In addition to the above ratios, one or more conditional formulae may be optionally combined to be used in the embodiments of the present invention and the present invention is not limit to this. The concave or convex configuration of each lens element or multiple lens elements may be fine-tuned to enhance the performance and/or the resolution. The above limitations may be selectively combined in the embodiments without causing inconsistency.
The contents in the embodiments of the invention include but are not limited to a focal length, a thickness of a lens element, an Abbe number, or other optical parameters. For example, in the embodiments of the invention, an optical parameter A and an optical parameter B are disclosed, wherein the ranges of the optical parameters, comparative relation between the optical parameters, and the range of a conditional expression covered by a plurality of embodiments are specifically explained as follows:
(1) The ranges of the optical parameters are, for example, σ2≤A≤α1 or β2≤B≤β1, where α1 is a maximum value of the optical parameter A among the plurality of embodiments, α2 is a minimum value of the optical parameter A among the plurality of embodiments, β1 is a maximum value of the optical parameter B among the plurality of embodiments, and β2 is a minimum value of the optical parameter B among the plurality of embodiments.
(2) The comparative relation between the optical parameters is that A is greater than B or A is less than B, for example.
(3) The range of a conditional expression covered by a plurality of embodiments is in detail a combination relation or proportional relation obtained by a possible operation of a plurality of optical parameters in each same embodiment. The relation is defined as E, and E is, for example, A+B or A−B or A/B or A*B or (A*B)1/2, and E satisfies a conditional expression E≤γ1 or E≥γ2 or γ2≤E≤γ1, where each of γ1 and γ2 is a value obtained by an operation of the optical parameter A and the optical parameter B in a same embodiment, γ1 is a maximum value among the plurality of the embodiments, and γ2 is a minimum value among the plurality of the embodiments.
The ranges of the aforementioned optical parameters, the aforementioned comparative relations between the optical parameters, and a maximum value, a minimum value, and the numerical range between the maximum value and the minimum value of the aforementioned conditional expressions are all implementable and all belong to the scope disclosed by the invention. The aforementioned description is for exemplary explanation, but the invention is not limited thereto.
The embodiments of the invention are all implementable. In addition, a combination of partial features in a same embodiment can be selected, and the combination of partial features can achieve the unexpected result of the invention with respect to the prior art. The combination of partial features includes but is not limited to the surface shape of a lens element, a refracting power, a conditional expression or the like, or a combination thereof. The description of the embodiments is for explaining the specific embodiments of the principles of the invention, but the invention is not limited thereto. Specifically, the embodiments and the drawings are for exemplifying, but the invention is not limited thereto.
Those skilled in the art will readily observe that numerous modifications and alterations of the device and method may be made while retaining the teachings of the invention. Accordingly, the above disclosure should be construed as limited only by the metes and bounds of the appended claims.
Number | Date | Country | Kind |
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202111624179.4 | Dec 2021 | CN | national |