CN107238911B - Optical imaging lens - Google Patents
Optical imaging lens Download PDFInfo
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- CN107238911B CN107238911B CN201710665837.1A CN201710665837A CN107238911B CN 107238911 B CN107238911 B CN 107238911B CN 201710665837 A CN201710665837 A CN 201710665837A CN 107238911 B CN107238911 B CN 107238911B
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- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B13/00—Optical objectives specially designed for the purposes specified below
- G02B13/001—Miniaturised objectives for electronic devices, e.g. portable telephones, webcams, PDAs, small digital cameras
- G02B13/0015—Miniaturised objectives for electronic devices, e.g. portable telephones, webcams, PDAs, small digital cameras characterised by the lens design
- G02B13/002—Miniaturised objectives for electronic devices, e.g. portable telephones, webcams, PDAs, small digital cameras characterised by the lens design having at least one aspherical surface
- G02B13/004—Miniaturised objectives for electronic devices, e.g. portable telephones, webcams, PDAs, small digital cameras characterised by the lens design having at least one aspherical surface having four lenses
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- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B13/00—Optical objectives specially designed for the purposes specified below
- G02B13/06—Panoramic objectives; So-called "sky lenses" including panoramic objectives having reflecting surfaces
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- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B13/00—Optical objectives specially designed for the purposes specified below
- G02B13/18—Optical objectives specially designed for the purposes specified below with lenses having one or more non-spherical faces, e.g. for reducing geometrical aberration
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Abstract
The application discloses an optical imaging lens, this optical imaging lens includes from the object side to the image side along the optical axis in proper order: a first lens, a second lens, a third lens, and a fourth lens. The first lens has positive focal power, the object side surface of the first lens is a convex surface, and the image side surface of the first lens is a concave surface; the second lens has negative focal power; the third lens has positive focal power, and the image side surface of the third lens is a convex surface; the fourth lens has negative focal power, the object side surface of the fourth lens is a convex surface, the image side surface of the fourth lens is a concave surface, and the effective focal length f4 of the fourth lens and the total effective focal length f of the optical imaging lens meet f4/f < -2.
Description
Technical Field
The present application relates to an optical imaging lens, and more particularly, to an optical imaging lens including four lenses.
Background
With the development of chip technologies such as CMOS or CCD, the pixel size of the chip becomes smaller and smaller, and the requirement for the imaging quality of the associated optical system becomes higher and higher. On the other hand, as the size of portable electronic products such as mobile phones and digital cameras is reduced, higher demands are also made on the miniaturization of optical lenses used in the portable electronic products.
Due to the limited size, the number of lenses of a general thin lens is small, and the requirement of high-quality analysis cannot be met. In order to satisfy the requirement of high quality analysis, the number of lenses must be increased, which increases the total optical length of the lens and makes it difficult to achieve miniaturization.
Therefore, the optical imaging lens has the advantages of miniaturization, high resolution, low sensitivity and good imaging quality.
Disclosure of Invention
The present application provides an optical imaging lens applicable to portable electronic products that may solve, at least, or in part, at least one of the above-mentioned disadvantages of the related art.
One aspect of the present application provides an optical imaging lens, comprising, in order from an object side to an image side: the lens includes a first lens, a second lens, a third lens and a fourth lens. The first lens can have positive focal power, and the object side surface of the first lens can be a convex surface, and the image side surface of the first lens can be a concave surface; the second lens may have a negative optical power; the third lens can have positive focal power, and the image side surface of the third lens can be a convex surface; the fourth lens element can have a negative power, and can have a convex object-side surface and a concave image-side surface. The effective focal length f4 of the fourth lens and the total effective focal length f of the optical imaging lens can satisfy f4/f < -2.
In one embodiment, the on-axis distance TTL from the object side surface of the first lens to the imaging surface of the optical imaging lens and the half of the diagonal length ImgH of the effective pixel area on the imaging surface of the optical imaging lens can satisfy TTL/ImgH ≦ 1.6.
In one embodiment, the effective focal length f1 of the first lens and the total effective focal length f of the optical imaging lens can satisfy 1.0 < f1/f < 1.4.
In one embodiment, the effective focal length f2 of the second lens and the total effective focal length f of the optical imaging lens can satisfy-4 < f2/f < -2.
In one embodiment, the effective focal length f3 of the third lens and the total effective focal length f of the optical imaging lens can satisfy 1 < f3/f < 2.
In one embodiment, the central thickness CT1 of the first lens on the optical axis may satisfy 0.45mm < CT1 < 0.7 mm.
In one embodiment, the third lens and the fourth lens may be spaced apart by a distance T34 on the optical axis satisfying 0.3mm < T34 < 0.4 mm.
In one embodiment, the radius of curvature R4 of the image side surface of the second lens and the effective focal length f2 of the second lens can satisfy-4 < R4/f2 < -0.2.
In one embodiment, the radius of curvature R3 of the object-side surface of the second lens and the effective focal length f2 of the second lens may satisfy | R3/f2| < 5.
In one embodiment, the radius of curvature R1 of the object-side surface of the first lens and the radius of curvature R2 of the image-side surface of the first lens may satisfy-3 < (R1+ R2)/(R1-R2) < -2.
In one embodiment, the central thickness CT4 of the fourth lens on the optical axis and the effective focal length f4 of the fourth lens can satisfy-0.1 < CT4/f4 < 0.
One aspect of the present application provides an optical imaging lens, in order from an object side to an image side, comprising: a first lens, a second lens, a third lens and a fourth lens having optical power. The object side surface of the first lens can be a convex surface, and the image side surface of the first lens can be a concave surface; at least one of the object-side surface and the image-side surface of the second lens may be concave; the image side surface of the third lens can be convex; the object side surface of the fourth lens can be a convex surface, and the image side surface can be a concave surface; the third lens and the fourth lens are spaced apart by a distance T34 on the optical axis, which satisfies 0.3mm < T34 < 0.4 mm.
In one embodiment, the on-axis distance TTL from the object side surface of the first lens to the imaging surface of the optical imaging lens and the half of the diagonal length ImgH of the effective pixel area on the imaging surface of the optical imaging lens can satisfy TTL/ImgH ≦ 1.6.
In one embodiment, the first lens and the third lens may each have a positive optical power.
In one embodiment, the second lens and the fourth lens may each have a negative optical power.
In one embodiment, the effective focal length f1 of the first lens and the total effective focal length f of the optical imaging lens can satisfy 1.0 < f1/f < 1.4.
In one embodiment, the effective focal length f3 of the third lens and the total effective focal length f of the optical imaging lens can satisfy 1 < f3/f < 2.
In one embodiment, the effective focal length f2 of the second lens and the total effective focal length f of the optical imaging lens can satisfy-4 < f2/f < -2.
In one embodiment, the effective focal length f4 of the fourth lens and the total effective focal length f of the optical imaging lens can satisfy f4/f < -2.
In one embodiment, the central thickness CT1 of the first lens on the optical axis may satisfy 0.45mm < CT1 < 0.7 mm.
In one embodiment, the image-side surface of the second lens element can be concave, and the radius of curvature R4 of the image-side surface and the effective focal length f2 of the second lens element can satisfy-4 < R4/f2 < -0.2.
In one embodiment, the radius of curvature R3 of the object-side surface of the second lens and the effective focal length f2 of the second lens may satisfy | R3/f2| < 5.
In one embodiment, the radius of curvature R1 of the object-side surface of the first lens and the radius of curvature R2 of the image-side surface of the first lens may satisfy-3 < (R1+ R2)/(R1-R2) < -2.
In one embodiment, the central thickness CT4 of the fourth lens on the optical axis and the effective focal length f4 of the fourth lens can satisfy-0.1 < CT4/f4 < 0.
The lens adopts a plurality of (for example, four) lenses, and reasonably distributes the focal power, the surface type, the central thickness of each lens, the on-axis distance between each lens and the like, so that the lens has at least one beneficial effect of large aperture, miniaturization, low sensitivity, good processability and the like while realizing good imaging quality.
Drawings
Other features, objects, and advantages of the present application will become more apparent from the following detailed description of non-limiting embodiments when taken in conjunction with the accompanying drawings. In the drawings:
fig. 1 shows a schematic configuration diagram of an optical imaging lens according to embodiment 1 of the present application;
fig. 2A to 2D show an on-axis chromatic aberration curve, an astigmatic curve, a distortion curve, and a chromatic aberration of magnification curve, respectively, of the optical imaging lens of embodiment 1;
fig. 3 is a schematic structural view showing an optical imaging lens according to embodiment 2 of the present application;
fig. 4A to 4D show an on-axis chromatic aberration curve, an astigmatic curve, a distortion curve, and a chromatic aberration of magnification curve, respectively, of the optical imaging lens of embodiment 2;
fig. 5 is a schematic structural view showing an optical imaging lens according to embodiment 3 of the present application;
fig. 6A to 6D show an on-axis chromatic aberration curve, an astigmatic curve, a distortion curve, and a chromatic aberration of magnification curve, respectively, of the optical imaging lens of embodiment 3;
fig. 7 is a schematic structural view showing an optical imaging lens according to embodiment 4 of the present application;
fig. 8A to 8D show an on-axis chromatic aberration curve, an astigmatism curve, a distortion curve, and a chromatic aberration of magnification curve, respectively, of the optical imaging lens of embodiment 4;
fig. 9 is a schematic structural view showing an optical imaging lens according to embodiment 5 of the present application;
fig. 10A to 10D show an on-axis chromatic aberration curve, an astigmatism curve, a distortion curve, and a chromatic aberration of magnification curve, respectively, of the optical imaging lens of embodiment 5;
fig. 11 is a schematic structural view showing an optical imaging lens according to embodiment 6 of the present application;
fig. 12A to 12D show an on-axis chromatic aberration curve, an astigmatism curve, a distortion curve, and a chromatic aberration of magnification curve, respectively, of the optical imaging lens of embodiment 6;
fig. 13 is a schematic structural view showing an optical imaging lens according to embodiment 7 of the present application;
fig. 14A to 14D show an on-axis chromatic aberration curve, an astigmatism curve, a distortion curve, and a chromatic aberration of magnification curve, respectively, of an optical imaging lens of embodiment 7;
fig. 15 is a schematic structural view showing an optical imaging lens according to embodiment 8 of the present application;
fig. 16A to 16D show an on-axis chromatic aberration curve, an astigmatism curve, a distortion curve, and a chromatic aberration of magnification curve, respectively, of an optical imaging lens of embodiment 8;
fig. 17 is a schematic structural view showing an optical imaging lens according to embodiment 9 of the present application;
fig. 18A to 18D show an on-axis chromatic aberration curve, an astigmatic curve, a distortion curve, and a chromatic aberration of magnification curve, respectively, of an optical imaging lens of embodiment 9;
fig. 19 is a schematic structural view showing an optical imaging lens according to embodiment 10 of the present application;
fig. 20A to 20D show an on-axis chromatic aberration curve, an astigmatism curve, a distortion curve, and a chromatic aberration of magnification curve, respectively, of the optical imaging lens of embodiment 10;
fig. 21 is a schematic structural view showing an optical imaging lens according to embodiment 11 of the present application;
fig. 22A to 22D show an on-axis chromatic aberration curve, an astigmatism curve, a distortion curve, and a chromatic aberration of magnification curve, respectively, of the optical imaging lens of embodiment 11.
Detailed Description
For a better understanding of the present application, various aspects of the present application will be described in more detail with reference to the accompanying drawings. It should be understood that the detailed description is merely illustrative of exemplary embodiments of the present application and does not limit the scope of the present application in any way. Like reference numerals refer to like elements throughout the specification. The expression "and/or" includes any and all combinations of one or more of the associated listed items.
It should be noted that in this specification, the expressions first, second, third, etc. are used only to distinguish one feature from another, and do not represent any limitation on the features. Thus, the first lens discussed below may also be referred to as the second lens or the third lens without departing from the teachings of the present application.
In the drawings, the thickness, size and shape of the lens have been slightly exaggerated for convenience of explanation. In particular, the shapes of the spherical or aspherical surfaces shown in the drawings are shown by way of example. That is, the shape of the spherical surface or the aspherical surface is not limited to the shape of the spherical surface or the aspherical surface shown in the drawings. The figures are purely diagrammatic and not drawn to scale.
Herein, the paraxial region refers to a region near the optical axis. If the lens surface is convex and the convex position is not defined, it means that the lens surface is convex at least in the paraxial region; if the lens surface is concave and the concave position is not defined, it means that the lens surface is concave at least in the paraxial region. The surface of each lens closest to the object is called the object side surface, and the surface of each lens closest to the image plane is called the image side surface.
It will be further understood that the terms "comprises," "comprising," "has," "having," "includes" and/or "including," when used in this specification, specify the presence of stated features, elements, and/or components, but do not preclude the presence or addition of one or more other features, elements, components, and/or groups thereof. Moreover, when a statement such as "at least one of" appears after a list of listed features, the entirety of the listed features is modified rather than modifying individual elements in the list. Furthermore, the use of "may" mean "one or more embodiments of the application" when describing embodiments of the application. Also, the term "exemplary" is intended to refer to examples or illustrations.
Unless otherwise defined, all terms (including technical and scientific terms) used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this application belongs. It will be further understood that terms, such as those defined in commonly used dictionaries, should be interpreted as having a meaning that is consistent with their meaning in the context of the relevant art and will not be interpreted in an idealized or overly formal sense unless expressly so defined herein.
It should be noted that, in the present application, the embodiments and features of the embodiments may be combined with each other without conflict. The present application will be described in detail below with reference to the embodiments with reference to the attached drawings.
The features, principles, and other aspects of the present application are described in detail below.
An optical imaging lens according to an exemplary embodiment of the present application includes, for example, six lenses having optical powers, i.e., a first lens, a second lens, a third lens, a fourth lens, a fifth lens, and a sixth lens. The optical imaging lens can further comprise a photosensitive element arranged on the imaging surface.
The first lens may have a positive power, and an effective focal length f1 thereof and a total effective focal length f of the optical imaging lens may satisfy 1.0 < f1/f < 1.4, and more specifically, f1 and f may further satisfy 1.10 ≦ f1/f ≦ 1.27. The positive focal power of the first lens is reasonably distributed, so that the focal power of the first lens can meet the requirement of the focal power of the system, the sensitivity of the system can be controlled in a reasonable interval, and the requirement of processing production is met.
The second lens may have a negative power, and an effective focal length f2 thereof and a total effective focal length f of the optical imaging lens may satisfy-4 < f2/f < -2, and more specifically, f2 and f may further satisfy-3.78 ≦ f2/f ≦ -2.07. By controlling the negative power of the second lens within a reasonable range, the negative spherical aberration generated by the first lens with positive power and the curvature of field of the system can be reasonably and effectively balanced.
The third lens may have a positive power, and an effective focal length f3 thereof and a total effective focal length f of the optical imaging lens may satisfy 1 < f3/f < 2, and more specifically, f3 and f may further satisfy 1.28 ≦ f3/f ≦ 1.71. The condition that f3/f is more than 1 and less than 2 is met, and the system is favorable for obtaining good ability of balancing curvature of field so as to effectively improve the image quality.
The fourth lens can have a negative focal power, and the effective focal length f4 of the fourth lens and the total effective focal length f of the optical imaging lens can satisfy f4/f < -2, and more specifically, f4 and f can further satisfy-4.42 ≦ f4/f ≦ -2.01. Through reasonable distribution of the optical power, the system has better imaging quality and lower sensitivity.
The object-side surface of the first lens element can be convex, and the image-side surface of the first lens element can be concave. The radius of curvature R1 of the object side surface of the first lens and the radius of curvature R2 of the image side surface of the first lens can satisfy the condition that-3 is less than (R1+ R2)/(R1-R2) is less than-2, and more particularly, R1 and R2 can further satisfy the condition that-2.6 is more than or equal to (R1+ R2)/(R1-R2) is more than or equal to-2.17. The curvature radius ranges of the object side surface and the image side surface of the first lens are reasonably controlled, so that the first lens can effectively correct the spherical aberration of the system.
Due to the strong sensitivity of the first lens, the center thickness of the first lens needs to be reasonably controlled, so that the first lens has good processability, and the surface shape error after molding is small, so as to ensure the practical imaging quality of the system. For example, the central thickness CT1 of the first lens on the optical axis may satisfy 0.45mm < CT1 < 0.7mm, and more specifically, CT1 may further satisfy 0.47mm ≦ CT1 ≦ 0.63 mm.
The radius of curvature R3 of the object side of the second lens and the effective focal length f2 of the second lens can satisfy R3/f2| < 5, more specifically, R3 and f2 can further satisfy 0.55 ≦ R3/f2 ≦ 4.01. Through reasonable control of the curvature radius R3 of the object side surface of the second lens, the contribution rate of the second lens to the system is controlled, and the coma aberration of the system is effectively balanced.
The image side surface of the second lens can be concave. The radius of curvature R4 of the image side surface of the second lens and the effective focal length f2 of the second lens can satisfy-4 < R4/f2 < -0.2, more specifically, R4 and f2 can further satisfy-3.9 < R4/f2 < -0.3. By reasonably controlling the curvature radius R4 of the image side surface of the second lens, the astigmatism of the system can be reasonably balanced, so that the system has good imaging quality.
The object-side surface of the third lens element can be concave, and the image-side surface can be convex.
The separation distance T34 between the third lens and the fourth lens on the optical axis may satisfy 0.3mm < T34 < 0.4mm, and more specifically, T34 may further satisfy 0.31mm < T34 < 0.39 mm. By reasonably distributing the separation distance T34 between the third lens and the fourth lens on the optical axis, distortion of the system can be reasonably corrected. In addition, the distance T34 between the third lens and the fourth lens on the optical axis is reasonably distributed, and the later fine tuning of the curvature of field is also facilitated.
The object-side surface of the fourth lens element can be convex, and the image-side surface can be concave.
The central thickness CT4 of the fourth lens on the optical axis and the effective focal length f4 of the fourth lens can satisfy-0.1 < CT4/f4 < 0, more specifically, CT4 and f4 can further satisfy-0.07 < CT4/f4 < 0.04. The central thickness and the focal power range of the fourth lens are reasonably controlled, so that the manufacturability of lens processing and forming is ensured while system aberration is corrected.
The total optical length TTL (i.e., the on-axis distance from the center of the object side surface of the first lens to the imaging surface of the optical imaging lens) of the optical imaging lens and the half ImgH of the diagonal length of the effective pixel region on the imaging surface of the optical imaging lens can satisfy that TTL/ImgH is less than or equal to 1.6, and more specifically, TTL and ImgH can further satisfy that TTL/ImgH is less than or equal to 1.44 and less than or equal to 1.53. By controlling the total optical length and the image high ratio of the lens, the total size of the imaging lens can be effectively compressed to realize the ultrathin characteristic and the miniaturization of the imaging lens, so that the imaging lens can be well suitable for systems with limited sizes, such as portable electronic products.
In an exemplary embodiment, the optical imaging lens may further be provided with at least one diaphragm to improve the imaging quality of the lens. It should be understood by those skilled in the art that the diaphragm may be disposed at any position between the object side and the image side as needed, that is, the diaphragm disposition should not be limited to the position described in the embodiments below.
Optionally, the optical imaging lens may further include a filter for correcting color deviation and/or a protective glass for protecting a photosensitive element on the imaging surface.
The optical imaging lens according to the above-described embodiment of the present application may employ a plurality of lenses, for example, four lenses as described above. Through reasonable distribution of focal power, surface type, center thickness of each lens, on-axis distance between each lens and the like, the sensitivity of the lens can be effectively reduced, the processability of the lens can be improved, and the optical imaging lens is more beneficial to production and processing and is applicable to portable electronic products. Meanwhile, the optical imaging lens with the configuration has the beneficial effects of ultrathin large aperture, high imaging quality and the like.
In the embodiment of the present application, at least one of the mirror surfaces of each lens is an aspherical mirror surface. The aspheric lens is characterized in that: the curvature varies continuously from the center of the lens to the periphery of the lens. Unlike a spherical lens having a constant curvature from the center of the lens to the periphery of the lens, an aspherical lens has better curvature radius characteristics, and has advantages of improving distortion aberration and improving astigmatic aberration. After the aspheric lens is adopted, the aberration generated during imaging can be eliminated as much as possible, thereby improving the imaging quality. In addition, the use of the aspherical lens can also effectively reduce the number of lenses in the optical system.
However, it will be appreciated by those skilled in the art that the number of lenses constituting an optical imaging lens may be varied to achieve the various results and advantages described in the present specification without departing from the claimed subject matter. For example, although four lenses are exemplified in the embodiment, the optical imaging lens is not limited to include four lenses. The optical imaging lens may also include other numbers of lenses, if desired.
Specific examples of an optical imaging lens applicable to the above-described embodiments are further described below with reference to the drawings.
Example 1
An optical imaging lens according to embodiment 1 of the present application is described below with reference to fig. 1 to 2D. Fig. 1 shows a schematic structural diagram of an optical imaging lens according to embodiment 1 of the present application.
As shown in fig. 1, the optical imaging lens includes, in order from an object side to an imaging side along an optical axis, a first lens E1, a second lens E2, a third lens E3, a fourth lens E4, and an imaging surface S11. The optical imaging lens may further include a photosensitive element disposed on the imaging surface S11.
The first lens element E1 has positive optical power, and has a convex object-side surface S1 and a concave image-side surface S2, and both the object-side surface S1 and the image-side surface S2 of the first lens element E1 are aspheric.
The second lens E2 has negative power, and has a concave object-side surface S3, a concave image-side surface S4, and both the object-side surface S3 and the image-side surface S4 of the second lens E2 are aspheric.
The third lens element E3 has positive optical power, and has a concave object-side surface S5 and a convex image-side surface S6, and both the object-side surface S5 and the image-side surface S6 of the third lens element E3 are aspheric.
The fourth lens element E4 has negative power, and has a convex object-side surface S7 and a concave image-side surface S8, and both the object-side surface S7 and the image-side surface S8 of the fourth lens element E4 are aspheric.
Optionally, the optical imaging lens may further include a filter E5 having an object side S9 and an image side S10. The light from the object passes through the respective surfaces S1 to S10 in order and is finally imaged on the imaging surface S11.
Alternatively, a stop STO for limiting the light beam may be provided between the object side and the first lens E1 to improve the imaging quality of the optical imaging lens.
Table 1 shows the surface type, radius of curvature, thickness, material, and conic coefficient of each lens of the optical imaging lens of example 1, wherein the unit of the radius of curvature and the thickness are both millimeters (mm).
TABLE 1
The central thickness CT1 of the first lens E1 on the optical axis is 0.57 mm; the third lens E3 and the fourth lens E4 are separated by a distance T34 of 0.35mm on the optical axis; the radius of curvature R1 of the object-side surface S1 of the first lens E1 and the radius of curvature R2 of the image-side surface S2 of the first lens E1 satisfy (R1+ R2)/(R1-R2) — 2.27.
In embodiment 1, each lens may be an aspherical lens, and each aspherical surface type x is defined by the following formula:
wherein x is the rise of the distance from the aspheric surface vertex to the aspheric surface vertex when the aspheric surface is at the position with the height of h along the optical axis direction; c is the paraxial curvature of the aspheric surface, c being 1/R (i.e., paraxial curvature c is the inverse of radius of curvature R in table 1 above); k is the conic coefficient (given in table 1); ai is the correction coefficient of the i-th order of the aspherical surface. Table 2 below shows the high-order coefficient A of each of the aspherical mirror surfaces S1 to S8 used in example 1 4 、A 6 、A 8 、A 10 、A 12 、A 14 、A 16 、A 18 And A 20 。
TABLE 2
Table 3 below gives the effective focal lengths f1 to f4 of the respective lenses, the total effective focal length f of the optical imaging lens, the total optical length TTL of the optical imaging lens (i.e., the distance on the optical axis from the center of the object side surface S1 of the first lens E1 to the imaging surface S11), and half ImgH of the diagonal length of the effective pixel area on the optical imaging lens imaging surface S11 in embodiment 1.
TABLE 3
F1/f is equal to 1.13 between the effective focal length f1 of the first lens E1 and the total effective focal length f of the optical imaging lens; the effective focal length f2 of the second lens E2 and the total effective focal length f of the optical imaging lens meet the condition that f2/f is-2.70; f3/f is equal to 1.34 between the effective focal length f3 of the third lens E3 and the total effective focal length f of the optical imaging lens; f4/f is equal to-2.04 between the effective focal length f4 of the fourth lens E4 and the total effective focal length f of the optical imaging lens; the total optical length TTL of the optical imaging lens and the half of the diagonal length ImgH of the effective pixel area on the imaging surface S11 of the optical imaging lens satisfy that TTL/ImgH is 1.44.
The radius of curvature R3 of the object-side surface S3 of the second lens E2 and the effective focal length f2 of the second lens E2 satisfy | R3/f2| — 0.89; the radius of curvature R4 of the image side S4 of the second lens E2 and the effective focal length f2 of the second lens E2 satisfy R4/f2 ═ 2.71; the central thickness CT4 of the fourth lens E4 on the optical axis and the effective focal length f4 of the fourth lens E4 satisfy CT4/f 4-0.07.
Fig. 2A shows an on-axis chromatic aberration curve of the optical imaging lens of embodiment 1, which represents the deviation of the convergent focal points of light rays of different wavelengths after passing through the lens. Fig. 2B shows an astigmatism curve representing a meridional field curvature and a sagittal field curvature of the optical imaging lens of embodiment 1. Fig. 2C shows a distortion curve of the optical imaging lens of embodiment 1, which represents the distortion magnitude values in the case of different angles of view. Fig. 2D shows a chromatic aberration of magnification curve of the optical imaging lens of embodiment 1, which represents a deviation of different image heights on the imaging plane after light passes through the lens. As can be seen from fig. 2A to 2D, the optical imaging lens according to embodiment 1 can achieve good imaging quality.
Example 2
An optical imaging lens according to embodiment 2 of the present application is described below with reference to fig. 3 to 4D. In this embodiment and the following embodiments, descriptions of parts similar to those of embodiment 1 will be omitted for the sake of brevity. Fig. 3 shows a schematic structural diagram of an optical imaging lens according to embodiment 2 of the present application.
As shown in fig. 3, the optical imaging lens includes, in order from an object side to an imaging side along an optical axis, a first lens E1, a second lens E2, a third lens E3, a fourth lens E4, and an imaging surface S11. The optical imaging lens may further include a photosensitive element disposed on the imaging surface S11.
The first lens E1 has positive power, and has a convex object-side surface S1 and a concave image-side surface S2, and both the object-side surface S1 and the image-side surface S2 of the first lens E1 are aspheric.
The second lens E2 has negative power, and has a concave object-side surface S3 and a concave image-side surface S4, and both the object-side surface S3 and the image-side surface S4 of the second lens E2 are aspheric.
The third lens element E3 has positive optical power, and has a concave object-side surface S5 and a convex image-side surface S6, and both the object-side surface S5 and the image-side surface S6 of the third lens element E3 are aspheric.
The fourth lens element E4 has negative power, and has a convex object-side surface S7 and a concave image-side surface S8, and both the object-side surface S7 and the image-side surface S8 of the fourth lens element E4 are aspheric.
Optionally, the optical imaging lens may further include a filter E5 having an object side S9 and an image side S10. The light from the object passes through the respective surfaces S1 to S10 in order and is finally imaged on the imaging surface S11.
Alternatively, a stop STO for limiting the light beam may be provided between the object side and the first lens E1 to improve the imaging quality of the optical imaging lens.
Table 4 shows the surface type, radius of curvature, thickness, material, and conic coefficient of each lens of the optical imaging lens of example 2, wherein the unit of the radius of curvature and the thickness are both millimeters (mm). Table 5 shows high-order term coefficients that can be used for each aspherical mirror surface in example 2, wherein each aspherical mirror surface type can be defined by formula (1) given in example 1 above. Table 6 shows the effective focal lengths f1 to f4 of the respective lenses, the total effective focal length f of the optical imaging lens, the total optical length TTL of the optical imaging lens, and half ImgH of the diagonal length of the effective pixel area on the imaging surface S11 of the optical imaging lens in embodiment 2.
TABLE 4
Flour mark | A4 | A6 | A8 | A10 | A12 | A14 | A16 | A18 | A20 |
S1 | -2.1256E-01 | 2.7712E+00 | -3.0379E+01 | 1.9431E+02 | -7.7930E+02 | 1.9634E+03 | -3.0212E+03 | 2.5918E+03 | -9.5122E+02 |
S2 | -1.9833E-02 | -7.6723E-01 | 1.1675E+01 | -1.0944E+02 | 5.9731E+02 | -1.9944E+03 | 3.9934E+03 | -4.4174E+03 | 2.0771E+03 |
S3 | -4.9341E-01 | 3.7087E+00 | -6.1876E+01 | 5.4762E+02 | -2.9772E+03 | 9.9110E+03 | -1.9506E+04 | 2.0482E+04 | -8.5637E+03 |
S4 | -2.9513E-01 | 1.3534E+00 | -1.0547E+01 | 4.6266E+01 | -1.3067E+02 | 2.2320E+02 | -1.9563E+02 | 4.5424E+01 | 2.8454E+01 |
S5 | -5.3331E-01 | 3.0778E+00 | -1.6976E+01 | 7.2081E+01 | -2.0706E+02 | 3.8274E+02 | -4.2887E+02 | 2.6071E+02 | -6.5155E+01 |
S6 | -7.3748E-01 | 2.6210E+00 | -9.8440E+00 | 3.0951E+01 | -6.9045E+01 | 1.0390E+02 | -9.6548E+01 | 4.8954E+01 | -1.0284E+01 |
S7 | -9.2944E-01 | 1.2310E+00 | -1.0986E+00 | 7.1224E-01 | -3.1400E-01 | 8.8754E-02 | -1.5013E-02 | 1.3291E-03 | -4.3247E-05 |
S8 | -5.2786E-01 | 7.1899E-01 | -6.9579E-01 | 4.6427E-01 | -2.0974E-01 | 6.2176E-02 | -1.1472E-02 | 1.1896E-03 | -5.2980E-05 |
TABLE 5
TABLE 6
Fig. 4A shows an on-axis chromatic aberration curve of the optical imaging lens of embodiment 2, which represents the deviation of the convergent focal points of light rays of different wavelengths after passing through the lens. Fig. 4B shows an astigmatism curve representing meridional field curvature and sagittal field curvature of the optical imaging lens of embodiment 2. Fig. 4C shows a distortion curve of the optical imaging lens of embodiment 2, which represents the distortion magnitude values in the case of different angles of view. Fig. 4D shows a chromatic aberration of magnification curve of the optical imaging lens of embodiment 2, which represents the deviation of different image heights on the imaging plane after light passes through the lens. As can be seen from fig. 4A to 4D, the optical imaging lens according to embodiment 2 can achieve good imaging quality.
Example 3
An optical imaging lens according to embodiment 3 of the present application is described below with reference to fig. 5 to 6D. Fig. 5 shows a schematic structural diagram of an optical imaging lens according to embodiment 3 of the present application.
As shown in fig. 5, the optical imaging lens includes, in order from the object side to the imaging side along the optical axis, a first lens E1, a second lens E2, a third lens E3, a fourth lens E4, and an image plane S11. The optical imaging lens may further include a photosensitive element disposed on the imaging surface S11.
The first lens element E1 has positive optical power, and has a convex object-side surface S1 and a concave image-side surface S2, and both the object-side surface S1 and the image-side surface S2 of the first lens element E1 are aspheric.
The second lens E2 has negative power, and has a concave object-side surface S3 and a concave image-side surface S4, and both the object-side surface S3 and the image-side surface S4 of the second lens E2 are aspheric.
The third lens element E3 has positive optical power, and has a concave object-side surface S5 and a convex image-side surface S6, and both the object-side surface S5 and the image-side surface S6 of the third lens element E3 are aspheric.
The fourth lens element E4 has negative power, and has a convex object-side surface S7, a concave image-side surface S8, and both the object-side surface S7 and the image-side surface S8 of the fourth lens element E4 are aspheric.
Optionally, the optical imaging lens may further include a filter E5 having an object side S9 and an image side S10. The light from the object passes through the respective surfaces S1 to S10 in order and is finally imaged on the imaging surface S11.
Alternatively, a stop STO for limiting the light beam may be provided between the object side and the first lens E1 to improve the imaging quality of the optical imaging lens.
Table 7 shows the surface type, radius of curvature, thickness, material, and conic coefficient of each lens of the optical imaging lens of example 3, wherein the unit of the radius of curvature and the thickness are both millimeters (mm). Table 8 shows high-order term coefficients that can be used for each aspherical mirror surface in example 3, wherein each aspherical mirror surface type can be defined by formula (1) given in example 1 above. Table 9 shows the effective focal lengths f1 to f4 of the respective lenses, the total effective focal length f of the optical imaging lens, the total optical length TTL of the optical imaging lens, and half ImgH of the diagonal length of the effective pixel area on the imaging surface S11 of the optical imaging lens in embodiment 3.
TABLE 7
Flour mark | A4 | A6 | A8 | A10 | A12 | A14 | A16 | A18 | A20 |
S1 | -1.9825E-01 | 2.6794E+00 | -2.9004E+01 | 1.8430E+02 | -7.3424E+02 | 1.8382E+03 | -2.8101E+03 | 2.3943E+03 | -8.7194E+02 |
S2 | -1.6416E-02 | -8.0934E-01 | 1.2435E+01 | -1.1647E+02 | 6.3899E+02 | -2.1479E+03 | 4.3317E+03 | -4.8229E+03 | 2.2795E+03 |
S3 | -4.9650E-01 | 3.9607E+00 | -6.7591E+01 | 6.1570E+02 | -3.4642E+03 | 1.2061E+04 | -2.5246E+04 | 2.8973E+04 | -1.3906E+04 |
S4 | -2.8915E-01 | 1.3317E+00 | -1.0913E+01 | 5.0151E+01 | -1.4983E+02 | 2.7794E+02 | -2.8962E+02 | 1.3641E+02 | -9.8131E+00 |
S5 | -5.2778E-01 | 3.1108E+00 | -1.7624E+01 | 7.7135E+01 | -2.2764E+02 | 4.3106E+02 | -4.9551E+02 | 3.1124E+02 | -8.1407E+01 |
S6 | -7.2701E-01 | 2.5302E+00 | -9.3702E+00 | 2.9293E+01 | -6.5128E+01 | 9.7963E+01 | -9.1122E+01 | 4.6246E+01 | -9.7205E+00 |
S7 | -8.5648E-01 | 1.1053E+00 | -9.5310E-01 | 5.9274E-01 | -2.4722E-01 | 6.4191E-02 | -9.3305E-03 | 5.7902E-04 | -1.4699E-07 |
S8 | -4.9321E-01 | 6.5891E-01 | -6.2983E-01 | 4.1650E-01 | -1.8686E-01 | 5.5069E-02 | -1.0105E-02 | 1.0425E-03 | -4.6229E-05 |
TABLE 8
TABLE 9
Fig. 6A shows an on-axis chromatic aberration curve of the optical imaging lens of embodiment 3, which represents the deviation of the convergent focal points of light rays of different wavelengths after passing through the lens. Fig. 6B shows an astigmatism curve representing meridional field curvature and sagittal field curvature of the optical imaging lens of embodiment 3. Fig. 6C shows a distortion curve of the optical imaging lens of embodiment 3, which represents the distortion magnitude values in the case of different angles of view. Fig. 6D shows a chromatic aberration of magnification curve of the optical imaging lens of embodiment 3, which represents a deviation of different image heights on the imaging plane after light passes through the lens. As can be seen from fig. 6A to 6D, the optical imaging lens according to embodiment 3 can achieve good imaging quality.
Example 4
An optical imaging lens according to embodiment 4 of the present application is described below with reference to fig. 7 to 8D. Fig. 7 shows a schematic structural diagram of an optical imaging lens according to embodiment 4 of the present application.
As shown in fig. 7, the optical imaging lens includes, in order from the object side to the image side along the optical axis, a first lens E1, a second lens E2, a third lens E3, a fourth lens E4, and an image plane S11. The optical imaging lens may further include a photosensitive element disposed on the imaging surface S11.
The first lens element E1 has positive optical power, and has a convex object-side surface S1 and a concave image-side surface S2, and both the object-side surface S1 and the image-side surface S2 of the first lens element E1 are aspheric.
The second lens E2 has negative power, and has a concave object-side surface S3 and a concave image-side surface S4, and both the object-side surface S3 and the image-side surface S4 of the second lens E2 are aspheric.
The third lens element E3 has positive optical power, and has a concave object-side surface S5 and a convex image-side surface S6, and both the object-side surface S5 and the image-side surface S6 of the third lens element E3 are aspheric.
The fourth lens element E4 has negative power, and has a convex object-side surface S7 and a concave image-side surface S8, and both the object-side surface S7 and the image-side surface S8 of the fourth lens element E4 are aspheric.
Optionally, the optical imaging lens may further include a filter E5 having an object side S9 and an image side S10. The light from the object passes through the respective surfaces S1 to S10 in order and is finally imaged on the imaging surface S11.
Alternatively, a stop STO for limiting the light beam may be provided between the object side and the first lens E1 to improve the imaging quality of the optical imaging lens.
Table 10 shows the surface type, radius of curvature, thickness, material, and conic coefficient of each lens of the optical imaging lens of example 4, wherein the unit of the radius of curvature and the thickness are both millimeters (mm). Table 11 shows high-order term coefficients that can be used for each aspherical mirror surface in embodiment 4, wherein each aspherical mirror surface type can be defined by the formula (1) given in embodiment 1 above. Table 12 shows the effective focal lengths f1 to f4 of the respective lenses, the total effective focal length f of the optical imaging lens, the total optical length TTL of the optical imaging lens, and half ImgH of the diagonal length of the effective pixel area on the imaging surface S11 of the optical imaging lens in embodiment 4.
Flour mark | A4 | A6 | A8 | A10 | A12 | A14 | A16 | A18 | A20 |
S1 | -1.6283E-01 | 1.9298E+00 | -2.0790E+01 | 1.3253E+02 | -5.3636E+02 | 1.3719E+03 | -2.1515E+03 | 1.8860E+03 | -7.0928E+02 |
S2 | 4.8225E-02 | -2.3315E+00 | 3.4743E+01 | -2.9900E+02 | 1.5486E+03 | -4.9436E+03 | 9.5026E+03 | -1.0087E+04 | 4.5398E+03 |
S3 | -5.8740E-01 | 4.7274E+00 | -7.2031E+01 | 6.2703E+02 | -3.4397E+03 | 1.1914E+04 | -2.5285E+04 | 2.9983E+04 | -1.5178E+04 |
S4 | -4.8743E-01 | 3.5527E+00 | -3.3364E+01 | 1.9688E+02 | -7.5605E+02 | 1.8572E+03 | -2.8003E+03 | 2.3597E+03 | -8.4944E+02 |
S5 | -3.7631E-01 | 2.6425E+00 | -1.6482E+01 | 7.3416E+01 | -2.1898E+02 | 4.2026E+02 | -4.9163E+02 | 3.1708E+02 | -8.6208E+01 |
S6 | -7.6992E-01 | 2.6800E+00 | -8.7837E+00 | 2.3831E+01 | -4.6370E+01 | 6.1661E+01 | -5.1532E+01 | 2.3847E+01 | -4.6163E+00 |
S7 | -9.2896E-01 | 1.3125E+00 | -1.2708E+00 | 8.9249E-01 | -4.2906E-01 | 1.3555E-01 | -2.6861E-02 | 3.0279E-03 | -1.4815E-04 |
S8 | -5.0652E-01 | 6.9791E-01 | -6.7876E-01 | 4.5301E-01 | -2.0408E-01 | 6.0231E-02 | -1.1034E-02 | 1.1296E-03 | -4.9174E-05 |
TABLE 11
TABLE 12
Fig. 8A shows on-axis chromatic aberration curves of the optical imaging lens of embodiment 4, which represent the deviation of the convergent focal points of light rays of different wavelengths after passing through the lens. Fig. 8B shows an astigmatism curve representing meridional field curvature and sagittal field curvature of the optical imaging lens of embodiment 4. Fig. 8C shows a distortion curve of the optical imaging lens of embodiment 4, which represents the distortion magnitude values in the case of different angles of view. Fig. 8D shows a chromatic aberration of magnification curve of the optical imaging lens of embodiment 4, which represents the deviation of different image heights on the imaging plane after light passes through the lens. As can be seen from fig. 8A to 8D, the optical imaging lens according to embodiment 4 can achieve good imaging quality.
Example 5
An optical imaging lens according to embodiment 5 of the present application is described below with reference to fig. 9 to 10D. Fig. 9 shows a schematic structural diagram of an optical imaging lens according to embodiment 5 of the present application.
As shown in fig. 9, the optical imaging lens includes, in order from the object side to the image side along the optical axis, a first lens E1, a second lens E2, a third lens E3, a fourth lens E4, and an image plane S11. The optical imaging lens may further include a photosensitive element disposed on the imaging surface S11.
The first lens element E1 has positive optical power, and has a convex object-side surface S1 and a concave image-side surface S2, and both the object-side surface S1 and the image-side surface S2 of the first lens element E1 are aspheric.
The second lens E2 has negative power, and has a concave object-side surface S3 and a concave image-side surface S4, and both the object-side surface S3 and the image-side surface S4 of the second lens E2 are aspheric.
The third lens element E3 has positive optical power, and has a concave object-side surface S5 and a convex image-side surface S6, and both the object-side surface S5 and the image-side surface S6 of the third lens element E3 are aspheric.
The fourth lens element E4 has negative power, and has a convex object-side surface S7 and a concave image-side surface S8, and both the object-side surface S7 and the image-side surface S8 of the fourth lens element E4 are aspheric.
Optionally, the optical imaging lens may further include a filter E5 having an object side S9 and an image side S10. The light from the object passes through the respective surfaces S1 to S10 in order and is finally imaged on the imaging surface S11.
Alternatively, a stop STO for limiting the light beam may be provided between the object side and the first lens E1 to improve the imaging quality of the optical imaging lens.
Table 13 shows the surface type, radius of curvature, thickness, material, and conic coefficient of each lens of the optical imaging lens of example 5, wherein the unit of the radius of curvature and the thickness are both millimeters (mm). Table 14 shows high-order term coefficients that can be used for each aspherical mirror surface in example 5, wherein each aspherical mirror surface type can be defined by formula (1) given in example 1 above. Table 15 shows the effective focal lengths f1 to f4 of the respective lenses, the total effective focal length f of the optical imaging lens, the total optical length TTL of the optical imaging lens, and half ImgH of the diagonal length of the effective pixel area on the imaging surface S11 of the optical imaging lens in example 5.
Watch 13
Flour mark | A4 | A6 | A8 | A10 | A12 | A14 | A16 | A18 | A20 |
S1 | -1.5754E-01 | 1.8266E+00 | -1.9990E+01 | 1.2892E+02 | -5.2663E+02 | 1.3567E+03 | -2.1412E+03 | 1.8889E+03 | -7.1577E+02 |
S2 | 6.6354E-03 | -6.0722E-01 | 9.1647E+00 | -7.7966E+01 | 3.8875E+02 | -1.1815E+03 | 2.1384E+03 | -2.1162E+03 | 8.7649E+02 |
S3 | -6.6568E-01 | 6.7029E+00 | -1.0941E+02 | 1.0614E+03 | -6.5105E+03 | 2.5311E+04 | -6.0479E+04 | 8.0982E+04 | -4.6479E+04 |
S4 | -5.1187E-01 | 2.9210E+00 | -2.4363E+01 | 1.3298E+02 | -4.7799E+02 | 1.1089E+03 | -1.5896E+03 | 1.2810E+03 | -4.4341E+02 |
S5 | -2.9285E-01 | 1.7675E+00 | -1.0104E+01 | 3.9996E+01 | -1.0734E+02 | 1.8867E+02 | -2.0413E+02 | 1.2234E+02 | -3.0978E+01 |
S6 | -7.9986E-01 | 2.9595E+00 | -9.1596E+00 | 2.1854E+01 | -3.6493E+01 | 4.1377E+01 | -2.9834E+01 | 1.2119E+01 | -2.0889E+00 |
S7 | -9.6598E-01 | 1.3676E+00 | -1.3091E+00 | 9.1075E-01 | -4.3468E-01 | 1.3622E-01 | -2.6698E-02 | 2.9667E-03 | -1.4265E-04 |
S8 | -5.3345E-01 | 7.5736E-01 | -7.5505E-01 | 5.1500E-01 | -2.3648E-01 | 7.1000E-02 | -1.3220E-02 | 1.3759E-03 | -6.0974E-05 |
TABLE 14
Watch 15
Fig. 10A shows an on-axis chromatic aberration curve of the optical imaging lens of embodiment 5, which represents the deviation of the convergent focal points of light rays of different wavelengths after passing through the lens. Fig. 10B shows an astigmatism curve representing meridional field curvature and sagittal field curvature of the optical imaging lens of embodiment 5. Fig. 10C shows a distortion curve of the optical imaging lens of embodiment 5, which represents the distortion magnitude values in the case of different angles of view. Fig. 10D shows a chromatic aberration of magnification curve of the optical imaging lens of embodiment 5, which represents a deviation of different image heights on the imaging surface after light passes through the lens. As can be seen from fig. 10A to 10D, the optical imaging lens according to embodiment 5 can achieve good imaging quality.
Example 6
An optical imaging lens according to embodiment 6 of the present application is described below with reference to fig. 11 to 12D. Fig. 11 shows a schematic structural view of an optical imaging lens according to embodiment 6 of the present application.
As shown in fig. 11, the optical imaging lens includes, in order from the object side to the image side along the optical axis, a first lens E1, a second lens E2, a third lens E3, a fourth lens E4, and an image plane S11. The optical imaging lens may further include a photosensitive element disposed on the imaging surface S11.
The first lens element E1 has positive optical power, and has a convex object-side surface S1 and a concave image-side surface S2, and both the object-side surface S1 and the image-side surface S2 of the first lens element E1 are aspheric.
The second lens E2 has negative power, and has a concave object-side surface S3 and a concave image-side surface S4, and both the object-side surface S3 and the image-side surface S4 of the second lens E2 are aspheric.
The third lens element E3 has positive optical power, and has a concave object-side surface S5 and a convex image-side surface S6, and both the object-side surface S5 and the image-side surface S6 of the third lens element E3 are aspheric.
The fourth lens element E4 has negative power, and has a convex object-side surface S7 and a concave image-side surface S8, and both the object-side surface S7 and the image-side surface S8 of the fourth lens element E4 are aspheric.
Optionally, the optical imaging lens may further include a filter E5 having an object-side surface S9 and an image-side surface S10. Light from the object sequentially passes through the respective surfaces S1 to S10 and is finally imaged on the imaging surface S11.
Alternatively, a stop STO for limiting the light beam may be provided between the object side and the first lens E1 to improve the imaging quality of the optical imaging lens.
Table 16 shows the surface type, radius of curvature, thickness, material, and conic coefficient of each lens of the optical imaging lens of example 6, wherein the unit of the radius of curvature and the thickness are both millimeters (mm). Table 17 shows high-order term coefficients that can be used for each aspherical mirror surface in example 6, wherein each aspherical mirror surface type can be defined by formula (1) given in example 1 above. Table 18 shows the effective focal lengths f1 to f4 of the respective lenses, the total effective focal length f of the optical imaging lens, the total optical length TTL of the optical imaging lens, and half ImgH of the diagonal length of the effective pixel area on the imaging plane S11 of the optical imaging lens in example 6.
TABLE 16
Flour mark | A4 | A6 | A8 | A10 | A12 | A14 | A16 | A18 | A20 |
S1 | -1.6506E-01 | 1.8902E+00 | -2.0899E+01 | 1.3629E+02 | -5.6529E+02 | 1.4818E+03 | -2.3812E+03 | 2.1382E+03 | -8.2404E+02 |
S2 | 6.1724E-02 | -2.6548E+00 | 3.9793E+01 | -3.4322E+02 | 1.7831E+03 | -5.7076E+03 | 1.1000E+04 | -1.1706E+04 | 5.2814E+03 |
S3 | -6.0407E-01 | 4.3362E+00 | -6.6512E+01 | 5.8839E+02 | -3.2913E+03 | 1.1641E+04 | -2.5302E+04 | 3.0884E+04 | -1.6217E+04 |
S4 | -4.4744E-01 | 2.4301E+00 | -1.9001E+01 | 9.5647E+01 | -3.2501E+02 | 7.2382E+02 | -1.0100E+03 | 8.0589E+02 | -2.8091E+02 |
S5 | -3.2679E-01 | 1.9654E+00 | -1.0397E+01 | 4.1093E+01 | -1.1127E+02 | 1.9326E+02 | -2.0194E+02 | 1.1455E+02 | -2.6982E+01 |
S6 | -7.6098E-01 | 2.5825E+00 | -7.9298E+00 | 1.9670E+01 | -3.4714E+01 | 4.2690E+01 | -3.3864E+01 | 1.5118E+01 | -2.8429E+00 |
S7 | -8.6100E-01 | 1.1579E+00 | -1.0433E+00 | 6.8327E-01 | -3.0900E-01 | 9.2287E-02 | -1.7293E-02 | 1.8365E-03 | -8.4047E-05 |
S8 | -4.8125E-01 | 6.4534E-01 | -6.1180E-01 | 3.9860E-01 | -1.7536E-01 | 5.0486E-02 | -9.0072E-03 | 8.9680E-04 | -3.7946E-05 |
TABLE 17
Watch 18
Fig. 12A shows an on-axis chromatic aberration curve of the optical imaging lens of embodiment 6, which represents the deviation of the convergent focal points of light rays of different wavelengths after passing through the lens. Fig. 12B shows an astigmatism curve representing meridional field curvature and sagittal field curvature of the optical imaging lens of embodiment 6. Fig. 12C shows a distortion curve of the optical imaging lens of embodiment 6, which represents the distortion magnitude values in the case of different angles of view. Fig. 12D shows a chromatic aberration of magnification curve of the optical imaging lens of embodiment 6, which represents a deviation of different image heights on the imaging surface after light passes through the lens. As can be seen from fig. 12A to 12D, the optical imaging lens according to embodiment 6 can achieve good imaging quality.
Example 7
An optical imaging lens according to embodiment 7 of the present application is described below with reference to fig. 13 to 14D. Fig. 13 is a schematic structural view showing an optical imaging lens according to embodiment 7 of the present application.
As shown in fig. 13, the optical imaging lens includes, in order from the object side to the imaging side along the optical axis, a first lens E1, a second lens E2, a third lens E3, a fourth lens E4, and an image plane S11. The optical imaging lens may further include a photosensitive element disposed on the imaging surface S11.
The first lens element E1 has positive optical power, and has a convex object-side surface S1 and a concave image-side surface S2, and both the object-side surface S1 and the image-side surface S2 of the first lens element E1 are aspheric.
The second lens element E2 has negative power, and has a convex object-side surface S3 and a concave image-side surface S4, and both the object-side surface S3 and the image-side surface S4 of the second lens element E2 are aspheric.
The third lens element E3 has positive optical power, and has a concave object-side surface S5 and a convex image-side surface S6, and both the object-side surface S5 and the image-side surface S6 of the third lens element E3 are aspheric.
The fourth lens element E4 has negative power, and has a convex object-side surface S7 and a concave image-side surface S8, and both the object-side surface S7 and the image-side surface S8 of the fourth lens element E4 are aspheric.
Optionally, the optical imaging lens may further include a filter E5 having an object side S9 and an image side S10. The light from the object passes through the respective surfaces S1 to S10 in order and is finally imaged on the imaging surface S11.
Alternatively, a stop STO for limiting the light beam may be provided between the object side and the first lens E1 to improve the imaging quality of the optical imaging lens.
Table 19 shows the surface type, radius of curvature, thickness, material, and conic coefficient of each lens of the optical imaging lens of example 7, wherein the units of the radius of curvature and the thickness are both millimeters (mm). Table 20 shows high-order term coefficients that can be used for each aspherical mirror surface in example 7, wherein each aspherical mirror surface type can be defined by formula (1) given in example 1 above. Table 21 shows the effective focal lengths f1 to f4 of the respective lenses, the total effective focal length f of the optical imaging lens, the total optical length TTL of the optical imaging lens, and half ImgH of the diagonal length of the effective pixel area on the imaging plane S11 of the optical imaging lens in example 7.
Watch 19
Flour mark | 4 | A6 | A8 | A10 | A12 | A14 | A16 | A18 | A20 |
S1 | -1.6925E-01 | 2.4827E+00 | -2.5491E+01 | 1.5546E+02 | -5.9582E+02 | 1.4425E+03 | -2.1427E+03 | 1.7813E+03 | -6.3497E+02 |
S2 | -4.4422E-02 | -1.5450E+00 | 2.0680E+01 | -1.7301E+02 | 8.6390E+02 | -2.6537E+03 | 4.8868E+03 | -4.9495E+03 | 2.1125E+03 |
S3 | -3.9784E-01 | 3.5521E+00 | -7.0306E+01 | 7.0349E+02 | -4.3487E+03 | 1.6788E+04 | -3.9474E+04 | 5.1718E+04 | -2.8939E+04 |
S4 | -2.9358E-01 | 8.1375E-01 | -6.8856E+00 | 2.6706E+01 | -5.9948E+01 | 6.8181E+01 | -9.6327E+00 | -6.2782E+01 | 5.0475E+01 |
S5 | -5.0752E-01 | 3.1553E+00 | -1.8418E+01 | 8.3891E+01 | -2.4882E+02 | 4.7162E+02 | -5.5331E+02 | 3.6231E+02 | -1.0017E+02 |
S6 | -7.6879E-01 | 2.5796E+00 | -9.9659E+00 | 3.4344E+01 | -8.5353E+01 | 1.4248E+02 | -1.4493E+02 | 7.9536E+01 | -1.7957E+01 |
S7 | -6.7811E-01 | 7.6712E-01 | -5.7832E-01 | 3.3780E-01 | -1.4479E-01 | 4.2428E-02 | -7.9404E-03 | 8.5188E-04 | -3.9828E-05 |
S8 | -4.3055E-01 | 5.0985E-01 | -4.4297E-01 | 2.7439E-01 | -1.1758E-01 | 3.3568E-02 | -6.0147E-03 | 6.0721E-04 | -2.6264E-05 |
Watch 20
TABLE 21
Fig. 14A shows an on-axis chromatic aberration curve of the optical imaging lens of embodiment 7, which represents the deviation of the convergent focal points of light rays of different wavelengths after passing through the lens. Fig. 14B shows an astigmatism curve representing meridional field curvature and sagittal field curvature of the optical imaging lens of embodiment 7. Fig. 14C shows a distortion curve of the optical imaging lens of embodiment 7, which represents the distortion magnitude values in the case of different angles of view. Fig. 14D shows a chromatic aberration of magnification curve of the optical imaging lens of embodiment 7, which represents a deviation of different image heights on the imaging surface after light passes through the lens. As can be seen from fig. 14A to 14D, the optical imaging lens according to embodiment 7 can achieve good imaging quality.
Example 8
An optical imaging lens according to embodiment 8 of the present application is described below with reference to fig. 15 to 16D. Fig. 15 shows a schematic structural diagram of an optical imaging lens according to embodiment 8 of the present application.
As shown in fig. 15, the optical imaging lens includes, in order from the object side to the image side along the optical axis, a first lens E1, a second lens E2, a third lens E3, a fourth lens E4, and an image plane S11. The optical imaging lens may further include a photosensitive element disposed on the imaging surface S11.
The first lens element E1 has positive optical power, and has a convex object-side surface S1 and a concave image-side surface S2, and both the object-side surface S1 and the image-side surface S2 of the first lens element E1 are aspheric.
The second lens E2 has negative power, and has a concave object-side surface S3 and a concave image-side surface S4, and both the object-side surface S3 and the image-side surface S4 of the second lens E2 are aspheric.
The third lens element E3 has positive optical power, and has a concave object-side surface S5 and a convex image-side surface S6, and both the object-side surface S5 and the image-side surface S6 of the third lens element E3 are aspheric.
The fourth lens element E4 has negative power, and has a convex object-side surface S7 and a concave image-side surface S8, and both the object-side surface S7 and the image-side surface S8 of the fourth lens element E4 are aspheric.
Optionally, the optical imaging lens may further include a filter E5 having an object side S9 and an image side S10. The light from the object passes through the respective surfaces S1 to S10 in order and is finally imaged on the imaging surface S11.
Alternatively, a stop STO for limiting the light beam may be provided between the object side and the first lens E1 to improve the imaging quality of the optical imaging lens.
Table 22 shows the surface type, radius of curvature, thickness, material, and conic coefficient of each lens of the optical imaging lens of example 8, wherein the unit of the radius of curvature and the thickness are both millimeters (mm). Table 23 shows high-order term coefficients that can be used for each aspherical mirror surface in embodiment 8, wherein each aspherical mirror surface type can be defined by the formula (1) given in embodiment 1 above. Table 24 shows the effective focal lengths f1 to f4 of the respective lenses, the total effective focal length f of the optical imaging lens, the total optical length TTL of the optical imaging lens, and half ImgH of the diagonal length of the effective pixel area on the imaging plane S11 of the optical imaging lens in example 8.
TABLE 22
Flour mark | A4 | A6 | A8 | A10 | A12 | A14 | A16 | A18 | A20 |
S1 | -2.2117E-01 | 2.8161E+00 | -3.0222E+01 | 1.8924E+02 | -7.4284E+02 | 1.8309E+03 | -2.7546E+03 | 2.3096E+03 | -8.2845E+02 |
S2 | -2.8997E-02 | -5.5539E-01 | 8.5314E+00 | -8.2784E+01 | 4.5874E+02 | -1.5433E+03 | 3.0982E+03 | -3.4249E+03 | 1.6058E+03 |
S3 | -4.7615E-01 | 3.2745E+00 | -5.0967E+01 | 4.1508E+02 | -2.0587E+03 | 6.1485E+03 | -1.0522E+04 | 8.9972E+03 | -2.5465E+03 |
S4 | -3.0068E-01 | 1.5712E+00 | -1.2725E+01 | 5.9442E+01 | -1.8192E+02 | 3.5391E+02 | -4.0749E+02 | 2.4335E+02 | -5.2686E+01 |
S5 | -5.2724E-01 | 2.9205E+00 | -1.5236E+01 | 5.9720E+01 | -1.5682E+02 | 2.6179E+02 | -2.5853E+02 | 1.3157E+02 | -2.4786E+01 |
S6 | -7.4510E-01 | 2.6846E+00 | -9.9135E+00 | 3.0319E+01 | -6.6150E+01 | 9.7773E+01 | -8.9448E+01 | 4.4691E+01 | -9.2548E+00 |
S7 | -9.4948E-01 | 1.2973E+00 | -1.2228E+00 | 8.4944E-01 | -4.0523E-01 | 1.2599E-01 | -2.4212E-02 | 2.5985E-03 | -1.1868E-04 |
S8 | -5.3545E-01 | 7.4703E-01 | -7.4502E-01 | 5.1285E-01 | -2.3919E-01 | 7.3324E-02 | -1.4029E-02 | 1.5137E-03 | -7.0379E-05 |
TABLE 23
Watch 24
Fig. 16A shows an on-axis chromatic aberration curve of the optical imaging lens of embodiment 8, which represents the deviation of the convergent focal points of light rays of different wavelengths after passing through the lens. Fig. 16B shows an astigmatism curve representing meridional field curvature and sagittal field curvature of the optical imaging lens of embodiment 8. Fig. 16C shows a distortion curve of the optical imaging lens of embodiment 8, which represents the distortion magnitude values in the case of different angles of view. Fig. 16D shows a chromatic aberration of magnification curve of the optical imaging lens of embodiment 8, which represents a deviation of different image heights on the imaging surface after light passes through the lens. As can be seen from fig. 16A to 16D, the optical imaging lens according to embodiment 8 can achieve good imaging quality.
Example 9
An optical imaging lens according to embodiment 9 of the present application is described below with reference to fig. 17 to 18D. Fig. 17 is a schematic structural view showing an optical imaging lens according to embodiment 9 of the present application.
As shown in fig. 17, the optical imaging lens includes, in order from the object side to the imaging side along the optical axis, a first lens E1, a second lens E2, a third lens E3, a fourth lens E4, and an imaging surface S11. The optical imaging lens may further include a photosensitive element disposed on the imaging surface S11.
The first lens element E1 has positive optical power, and has a convex object-side surface S1 and a concave image-side surface S2, and both the object-side surface S1 and the image-side surface S2 of the first lens element E1 are aspheric.
The second lens E2 has negative power, and has a concave object-side surface S3 and a concave image-side surface S4, and both the object-side surface S3 and the image-side surface S4 of the second lens E2 are aspheric.
The third lens E3 has positive power, and has a concave object-side surface S5, a convex image-side surface S6, and both the object-side surface S5 and the image-side surface S6 of the third lens E3 are aspheric.
The fourth lens element E4 has negative power, and has a convex object-side surface S7 and a concave image-side surface S8, and both the object-side surface S7 and the image-side surface S8 of the fourth lens element E4 are aspheric.
Optionally, the optical imaging lens may further include a filter E5 having an object side S9 and an image side S10. The light from the object passes through the respective surfaces S1 to S10 in order and is finally imaged on the imaging surface S11.
Alternatively, a stop STO for limiting the light beam may be provided between the object side and the first lens E1 to improve the imaging quality of the optical imaging lens.
Table 25 shows the surface type, radius of curvature, thickness, material, and conic coefficient of each lens of the optical imaging lens of example 9, wherein the unit of the radius of curvature and the thickness are both millimeters (mm). Table 26 shows high-order term coefficients that can be used for each aspherical mirror surface in example 9, wherein each aspherical mirror surface type can be defined by formula (1) given in example 1 above. Table 27 shows the effective focal lengths f1 to f4 of the respective lenses, the total effective focal length f of the optical imaging lens, the total optical length TTL of the optical imaging lens, and half ImgH of the diagonal length of the effective pixel area on the imaging plane S11 of the optical imaging lens in example 9.
TABLE 25
Watch 26
Watch 27
Fig. 18A shows an on-axis chromatic aberration curve of an optical imaging lens of embodiment 9, which represents the deviation of the convergent focal points of light rays of different wavelengths after passing through the lens. Fig. 18B shows an astigmatism curve representing meridional field curvature and sagittal field curvature of the optical imaging lens of embodiment 9. Fig. 18C shows a distortion curve of the optical imaging lens of embodiment 9, which represents the distortion magnitude values in the case of different angles of view. Fig. 18D shows a chromatic aberration of magnification curve of the optical imaging lens of embodiment 9, which represents a deviation of different image heights on the imaging surface after light passes through the lens. As can be seen from fig. 18A to 18D, the optical imaging lens according to embodiment 9 can achieve good imaging quality.
Example 10
An optical imaging lens according to embodiment 10 of the present application is described below with reference to fig. 19 to 20D. Fig. 19 shows a schematic structural diagram of an optical imaging lens according to embodiment 10 of the present application.
As shown in fig. 19, the optical imaging lens includes, in order from the object side to the image side along the optical axis, a first lens E1, a second lens E2, a third lens E3, a fourth lens E4, and an image plane S11. The optical imaging lens may further include a photosensitive element disposed on the imaging surface S11.
The first lens element E1 has positive optical power, and has a convex object-side surface S1 and a concave image-side surface S2, and both the object-side surface S1 and the image-side surface S2 of the first lens element E1 are aspheric.
The second lens E2 has negative power, and has a concave object-side surface S3 and a concave image-side surface S4, and both the object-side surface S3 and the image-side surface S4 of the second lens E2 are aspheric.
The third lens element E3 has positive optical power, and has a concave object-side surface S5 and a convex image-side surface S6, and both the object-side surface S5 and the image-side surface S6 of the third lens element E3 are aspheric.
The fourth lens element E4 has negative power, and has a convex object-side surface S7, a concave image-side surface S8, and both the object-side surface S7 and the image-side surface S8 of the fourth lens element E4 are aspheric.
Optionally, the optical imaging lens may further include a filter E5 having an object side S9 and an image side S10. The light from the object passes through the respective surfaces S1 to S10 in order and is finally imaged on the imaging surface S11.
Alternatively, a stop STO for limiting the light beam may be provided between the object side and the first lens E1 to improve the imaging quality of the optical imaging lens.
Table 28 shows the surface type, radius of curvature, thickness, material, and conic coefficient of each lens of the optical imaging lens of example 10, wherein the unit of the radius of curvature and the thickness are both millimeters (mm). Table 29 shows high-order term coefficients that can be used for each aspherical mirror surface in example 10, wherein each aspherical mirror surface type can be defined by formula (1) given in example 1 above. Table 30 shows the effective focal lengths f1 to f4 of the respective lenses, the total effective focal length f of the optical imaging lens, the total optical length TTL of the optical imaging lens, and half ImgH of the diagonal length of the effective pixel area on the imaging plane S11 of the optical imaging lens in example 10.
Watch 28
Watch 29
Watch 30
Fig. 20A shows an on-axis chromatic aberration curve of the optical imaging lens of embodiment 10, which represents the deviation of the convergent focal points of light rays of different wavelengths after passing through the lens. Fig. 20B shows an astigmatism curve representing meridional field curvature and sagittal field curvature of the optical imaging lens of embodiment 10. Fig. 20C shows a distortion curve of the optical imaging lens of embodiment 10, which represents the distortion magnitude values in the case of different angles of view. Fig. 20D shows a chromatic aberration of magnification curve of the optical imaging lens of embodiment 10, which represents a deviation of different image heights on the imaging surface after light passes through the lens. As can be seen from fig. 20A to 20D, the optical imaging lens according to embodiment 10 can achieve good imaging quality.
Example 11
An optical imaging lens according to embodiment 11 of the present application is described below with reference to fig. 21 to 22D. Fig. 21 is a schematic structural view showing an optical imaging lens according to embodiment 11 of the present application.
As shown in fig. 21, the optical imaging lens includes, in order from the object side to the imaging side along the optical axis, a first lens E1, a second lens E2, a third lens E3, a fourth lens E4, and an imaging surface S11. The optical imaging lens may further include a photosensitive element disposed on the imaging surface S11.
The first lens element E1 has positive optical power, and has a convex object-side surface S1 and a concave image-side surface S2, and both the object-side surface S1 and the image-side surface S2 of the first lens element E1 are aspheric.
The second lens E2 has negative power, and has a concave object-side surface S3 and a concave image-side surface S4, and both the object-side surface S3 and the image-side surface S4 of the second lens E2 are aspheric.
The third lens element E3 has positive optical power, and has a concave object-side surface S5 and a convex image-side surface S6, and both the object-side surface S5 and the image-side surface S6 of the third lens element E3 are aspheric.
The fourth lens element E4 has negative power, and has a convex object-side surface S7, a concave image-side surface S8, and both the object-side surface S7 and the image-side surface S8 of the fourth lens element E4 are aspheric.
Optionally, the optical imaging lens may further include a filter E5 having an object side S9 and an image side S10. Light from the object sequentially passes through the respective surfaces S1 to S10 and is finally imaged on the imaging surface S11.
Alternatively, a stop STO for limiting the light beam may be provided between the object side and the first lens E1 to improve the imaging quality of the optical imaging lens.
Table 31 shows the surface type, radius of curvature, thickness, material, and conic coefficient of each lens of the optical imaging lens of example 11, wherein the unit of the radius of curvature and the thickness are both millimeters (mm). Table 32 shows high-order term coefficients that can be used for each aspherical mirror surface in example 11, wherein each aspherical mirror surface type can be defined by formula (1) given in example 1 above. Table 33 shows the effective focal lengths f1 to f4 of the respective lenses, the total effective focal length f of the optical imaging lens, the total optical length TTL of the optical imaging lens, and half ImgH of the diagonal length of the effective pixel area on the imaging plane S11 of the optical imaging lens in example 11.
Watch 31
Watch 32
Watch 33
Fig. 22A shows on-axis chromatic aberration curves of an optical imaging lens of embodiment 11, which represent deviation of convergence focuses of light rays of different wavelengths after passing through the lens. Fig. 22B shows an astigmatism curve representing meridional field curvature and sagittal field curvature of the optical imaging lens of example 11. Fig. 22C shows a distortion curve of the optical imaging lens of embodiment 11, which represents the distortion magnitude values in the case of different angles of view. Fig. 22D shows a chromatic aberration of magnification curve of the optical imaging lens of example 11, which represents a deviation of different image heights on the imaging surface after light passes through the lens. As can be seen from fig. 22A to 22D, the optical imaging lens according to embodiment 11 can achieve good imaging quality.
In summary, examples 1 to 11 each satisfy the relationship shown in table 34 below.
Conditional expression (A) example | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 |
TTL/ImgH | 1.44 | 1.44 | 1.44 | 1.44 | 1.44 | 1.44 | 1.44 | 1.44 | 1.53 | 1.44 | 1.44 |
f4/f | -2.04 | -2.01 | -2.02 | -2.33 | -2.24 | -2.26 | -4.42 | -2.03 | -2.03 | -2.03 | -2.03 |
f1/f | 1.13 | 1.14 | 1.15 | 1.13 | 1.10 | 1.13 | 1.27 | 1.15 | 1.15 | 1.15 | 1.16 |
f2/f | -2.70 | -3.31 | -3.39 | -2.41 | -2.07 | -2.45 | -3.78 | -3.56 | -3.60 | -3.68 | -3.71 |
CT1(mm) | 0.57 | 0.60 | 0.58 | 0.50 | 0.50 | 0.49 | 0.47 | 0.63 | 0.63 | 0.63 | 0.62 |
T34(mm) | 0.35 | 0.39 | 0.38 | 0.35 | 0.31 | 0.35 | 0.38 | 0.37 | 0.37 | 0.37 | 0.37 |
R4/f2 | -2.71 | -1.32 | -1.20 | -2.29 | -3.90 | -1.65 | -0.30 | -1.13 | -0.99 | -0.86 | -0.80 |
f3/f | 1.34 | 1.43 | 1.43 | 1.36 | 1.28 | 1.36 | 1.71 | 1.48 | 1.48 | 1.48 | 1.48 |
|R3/f2| | 0.89 | 1.35 | 1.51 | 0.94 | 0.81 | 1.12 | 0.55 | 1.62 | 2.06 | 3.03 | 4.01 |
(R1+R2)/(R1-R2) | -2.27 | -2.18 | -2.23 | -2.23 | -2.21 | -2.23 | -2.60 | -2.17 | -2.18 | -2.20 | -2.21 |
CT4/f4 | -0.07 | -0.07 | -0.07 | -0.06 | -0.06 | -0.06 | -0.04 | -0.07 | -0.07 | -0.07 | -0.07 |
Watch 34
The present application also provides an imaging device whose electron photosensitive element may be a photo-coupled device (CCD) or a complementary metal oxide semiconductor device (CMOS). The imaging device may be a stand-alone imaging apparatus such as a digital camera, or may be an imaging module integrated on a mobile electronic apparatus such as a mobile phone. The imaging device is equipped with the optical imaging lens described above.
The above description is only a preferred embodiment of the application and is illustrative of the principles of the technology employed. It will be appreciated by a person skilled in the art that the scope of the invention as referred to in the present application is not limited to the embodiments with a specific combination of the above-mentioned features, but also covers other embodiments with any combination of the above-mentioned features or their equivalents without departing from the inventive concept. For example, the above features may be replaced with (but not limited to) features having similar functions disclosed in the present application.
Claims (9)
1. The optical imaging lens sequentially comprises from an object side to an image side along an optical axis: a first lens, a second lens, a third lens, and a fourth lens,
the first lens has positive focal power, the object side surface of the first lens is a convex surface, and the image side surface of the first lens is a concave surface;
the second lens has a negative optical power;
the third lens has positive focal power, and the image side surface of the third lens is a convex surface;
the fourth lens has negative focal power, the object side surface of the fourth lens is a convex surface, the image side surface of the fourth lens is a concave surface, and the effective focal length f4 of the fourth lens and the total effective focal length f of the optical imaging lens meet f4/f < -2;
a central thickness CT1 of the first lens on the optical axis satisfies 0.45mm < CT1 < 0.7 mm;
the radius of curvature R1 of the object-side surface of the first lens and the radius of curvature R2 of the image-side surface of the first lens satisfy-3 < (R1+ R2)/(R1-R2) < -2; and
the number of lenses having optical power of the optical imaging lens is four.
2. The optical imaging lens of claim 1, wherein an on-axis distance TTL from an object-side surface of the first lens element to an imaging surface of the optical imaging lens and a half ImgH of a diagonal length of an effective pixel area on the imaging surface of the optical imaging lens satisfy TTL/ImgH ≦ 1.6.
3. The optical imaging lens of claim 1, wherein the effective focal length f1 of the first lens and the total effective focal length f of the optical imaging lens satisfy 1.0 < f1/f < 1.4.
4. The optical imaging lens of claim 1, wherein the effective focal length f2 of the second lens and the total effective focal length f of the optical imaging lens satisfy-4 < f2/f < -2.
5. The optical imaging lens of claim 1, wherein the effective focal length f3 of the third lens and the total effective focal length f of the optical imaging lens satisfy 1 < f3/f < 2.
6. The optical imaging lens according to claim 1 or 2, wherein the third lens and the fourth lens are separated by a distance T34 on the optical axis that satisfies 0.3mm < T34 < 0.4 mm.
7. The optical imaging lens of claim 4, wherein the radius of curvature R4 of the image side surface of the second lens and the effective focal length f2 of the second lens satisfy-4 < R4/f2 < -0.2.
8. The optical imaging lens of claim 4 or 7, characterized in that the radius of curvature R3 of the object-side surface of the second lens and the effective focal length f2 of the second lens satisfy | R3/f2| < 5.
9. The optical imaging lens of claim 1, wherein the central thickness CT4 of the fourth lens on the optical axis and the effective focal length f4 of the fourth lens satisfy-0.1 < CT4/f4 < 0.
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