Detailed Description
The following description of the embodiments of the present invention will be made clearly and fully with reference to the accompanying drawings, in which it is evident that the embodiments described are only some, but not all embodiments of the invention. All other embodiments, which can be made by those skilled in the art based on the embodiments of the present invention without making any inventive effort, are intended to fall within the scope of the present invention.
The embodiment of the invention provides a lens module, which comprises a lens barrel, an electronic photosensitive element and an optical system provided by the embodiment of the invention, wherein a first lens to a sixth lens of the optical system are arranged in the lens barrel, the electronic photosensitive element is arranged at the image side of the optical system and is used for converting light rays of objects which are incident on the electronic photosensitive element through the first lens to the sixth lens into electric signals of images. The electron sensitive element may be a complementary metal oxide semiconductor (Complementary Metal Oxide Semiconductor, CMOS) or a Charge-coupled Device (CCD). The lens module can be an independent lens of a digital camera or an imaging module integrated on electronic equipment such as a smart phone. The first lens to the sixth lens of the optical system are arranged in the lens module, so that light is smoothly transited, the lens module has long focal length, and meanwhile, the overall length of the lens module is smaller, so that ultra-thin effect is realized.
The embodiment of the invention provides electronic equipment, which comprises a shell and a lens module provided by the embodiment of the invention. The lens module and the electronic photosensitive element are arranged in the shell. The electronic device may be a smart phone, a Personal Digital Assistant (PDA), a tablet computer, a smart watch, an unmanned aerial vehicle, an electronic book reader, a vehicle recorder, a wearable device, etc. Through setting up the camera lens module of second aspect in electronic equipment, make light gentle transition for electronic equipment possesses long burnt characteristic, and electronic equipment's overall length is less simultaneously, realizes the ultrathin.
The embodiment of the invention provides an optical system, which sequentially comprises a first lens, a second lens, a third lens, a fourth lens, a fifth lens and a sixth lens from an object side to an image side along an optical axis direction. In the first lens to the sixth lens, any adjacent two lenses may have an air space therebetween.
Specifically, the specific shape and structure of the six lenses are as follows:
The first lens is provided with positive bending force, the object side surfaces at the paraxial region and the paraxial region of the first lens are convex surfaces, and the image side surface at the paraxial region of the first lens is convex; the lens comprises a first lens, a second lens, a third lens, a fourth lens, a fifth lens, a sixth lens and a fourth lens, wherein the first lens is provided with a negative bending force;
The optical system further includes a diaphragm that may be disposed at any position between the first lens to the sixth lens, such as on the first lens.
The optical system satisfies the conditional expression:
f14/f is less than or equal to 1.5, preferably 0.697 is less than or equal to f14/f is less than or equal to 1.310;
TTL/f is less than or equal to 1, preferably 0.9 is less than or equal to 1.0;
wherein f14 is a combined focal length of the first lens element, the second lens element, the third lens element and the fourth lens element, f is an effective focal length of the optical system, and TTL is a distance between an object side surface of the first lens element and an imaging surface of the optical system on an optical axis.
The plane type and the bending force of each lens from the first lens to the sixth lens are reasonably configured, so that light is smoothly transited, the f14/f value is reasonably set, the optical system has the long focal length characteristic, and the TTL/f value is reasonably set, so that the overall length of the optical system is smaller, and the ultrathin effect is realized.
In one embodiment, the optical system satisfies the conditional expression that T45/f is less than or equal to 0.5, preferably 0.094 is less than or equal to 0.230, wherein T45 is the air interval between the fourth lens and the fifth lens on the optical axis. The T45/f value is reasonably set, and the space positions of the fourth lens and the fifth lens are arranged, so that the transition of an optical line is more gentle, the field curvature of an optical system is corrected, and the dispersion and the long focal characteristic are balanced.
In one embodiment, the optical system satisfies the conditional expression that CT2/R22 is less than or equal to 0.5, preferably CT2/R22 is less than or equal to 0.073 and less than or equal to 0.119, wherein CT2 is the thickness of the second lens on the optical axis, and R22 is the curvature radius of the image side surface of the second lens at the paraxial region. The value of CT2/R22 is set reasonably, so that the incident ray angle of the optical system can be reduced, the field angle is reduced within a reasonable range, and the functions of shooting distance and balancing the aberration of the optical system are realized.
In one embodiment, the optical system satisfies the conditional expression of |SAG32|+|SAG42|be less than or equal to 1, preferably 0.072 +|SAG32|+|SAG42|beless than or equal to 0.403, wherein SAG32 is the sagittal height of the image side of the third lens and SAG42 is the sagittal height of the image side of the fourth lens. The value of the I SAG32 I++ SAG 42I is reasonably set, so that the optical structure is reasonably arranged, the length and the size of the lens are favorably compressed, the change of the direction of light entering the optical system is slowed down, and the intensity of stray light is favorably reduced.
In one embodiment, the optical system satisfies the conditional expression SAG12/CT1 is less than or equal to 0.5, preferably-0.073 is less than or equal to SAG21/f is less than or equal to 0.02, wherein SAG12 is the sagittal height of the image side surface of the first lens, and CT1 is the thickness of the first lens on the optical axis. The SAG12/CT1 value is reasonably set, so that light is smoothly transmitted to the second lens, the sensitivity of the optical system is reduced, and the production yield is improved.
In one embodiment, the optical system satisfies the conditional expression V2-V1 >30, preferably 35.6 < V2-V1, where V1 is the Abbe number of the first lens and V2 is the Abbe number of the second lens. The value of |V2-V1| is reasonably set, so that chromatic aberration is corrected, and imaging quality is improved.
In one embodiment, the optical system satisfies the conditional expression of 1.ltoreq.ET 3+ET 4)/(CT 3+CT 4) ltoreq.2, preferably 1.032.ltoreq.ET 3+ET 4)/(CT 3+CT 4) ltoreq 1.643, wherein ET3 is the thickness of the edge of the optically effective area of the third lens, ET4 is the thickness of the edge of the optically effective area of the fourth lens, CT3 is the thickness of the third lens on the optical axis, and CT4 is the thickness of the fourth lens on the optical axis. By reasonably setting the value of (ET 3+ ET 4)/(CT 3+ CT 4), the optical system has better field curvature balancing capability, reduces the sensitivity of the third lens and the fourth lens, realizes the ultrathin optical system and ensures the stability of production and processing.
In one embodiment, the optical system satisfies the condition that 5 DEG/mm < FOV/f < 10 DEG/mm, preferably 5.265 DEG/mm < FOV/f < 9.107 DEG/mm, wherein FOV is the diagonal field angle of the optical system. The value of FOV/f is reasonably set, and the angle of view is controlled in a reasonable range, so that the focal length reaches the distance of long focus, and the telephoto function is realized.
In one embodiment, the optical system satisfies the conditional expression-3.ltoreq.f6/f.ltoreq.1, preferably-2.514.ltoreq.f6/f.ltoreq.1.315, wherein f6 is the effective focal length of the sixth lens. The value of f6/f is reasonably set, so that light rays can be smoothly converged and diverged in the sixth lens, spherical aberration and chromatic aberration of the optical system are corrected, and molding stability is improved.
Specifically, the optical system satisfies the conditions that f is more than or equal to 5.52 and less than or equal to 7.36, FNO is more than or equal to 2.29 and less than or equal to 3.12, wherein FNO is the aperture number of the optical system, FOV is more than or equal to 38.74 and less than or equal to 50.23, imgH is more than or equal to 2.62, wherein ImgH is the diagonal length of the photosensitive element on the imaging surface, and TTL is more than or equal to 5.05 and less than or equal to 7.00.
First embodiment
Referring to fig. 1a and 1b, the optical system of the present embodiment includes, in order from an object side to an image side along an optical axis:
the first lens element L1 with positive refractive power, wherein an object-side surface S1 of the first lens element L1 is convex at a paraxial region and a near-circumferential region, and an image-side surface S2 of the first lens element L1 is convex at the paraxial region and the near-circumferential region;
the second lens element L2 with negative refractive power has a concave object-side surface S3 at a paraxial region of the second lens element L2 and a convex object-side surface S3 at a near-circumferential region of the second lens element L2 and a concave image-side surface S4 at a paraxial region and a near-circumferential region of the second lens element L2;
the third lens element L3 with negative refractive power, wherein an object-side surface S5 of the third lens element L3 at a paraxial region is concave, an object-side surface S5 at a near-circumferential region is convex, an image-side surface S6 of the third lens element L3 at a paraxial region is convex, and an image-side surface S6 at a near-circumferential region is concave;
The fourth lens element L4 with positive refractive power, wherein an object-side surface S7 of the fourth lens element L4 at a paraxial region thereof is concave, an object-side surface S7 of the fourth lens element L4 at a near-circumferential region thereof is convex, an image-side surface S8 of the fourth lens element L4 at a paraxial region thereof is convex, and an image-side surface S8 of the fourth lens element L4 at a near-circumferential region thereof is concave;
the fifth lens element L5 has a negative refractive power, wherein an object-side surface S9 of the fifth lens element L5 at a paraxial region and a near-circumferential region is concave, an image-side surface S10 of the fifth lens element L5 at a paraxial region is concave, and an image-side surface S10 at a near-circumferential region is convex.
The sixth lens element L6 has a positive refractive power, wherein the object-side surface S11 of the sixth lens element L6 is convex at a paraxial region thereof and the object-side surface S11 of the sixth lens element L6 is concave at a near-peripheral region thereof, and the image-side surface S12 of the sixth lens element L6 is convex at a paraxial region thereof and at a near-peripheral region thereof.
The first lens L1 to the sixth lens L6 are all made of Plastic (Plastic).
Further, the optical system includes a stop STO, an infrared cut filter L7, and an imaging surface S15. The stop STO is disposed on a side of the first lens L1 remote from the second lens L2 for controlling the amount of light entering. In other embodiments, the stop STO may be disposed between two adjacent lenses, or on other lenses. The infrared cut-off filter L7 is disposed on the image side of the sixth lens L6, and includes an object side surface S13 and an image side surface S14, where the infrared cut-off filter L7 is configured to filter infrared light, so that the light incident on the imaging surface S15 is visible light, and the wavelength of the visible light is 380nm-780nm. The infrared cut filter L7 is made of Glass (Glass), and may be coated on the Glass. The imaging surface S15 is an effective pixel region of the electronic photosensitive element.
Table 1a shows a table of characteristics of the optical system of the present embodiment, in which data is obtained using light having a wavelength of 587nm, and Y radius, thickness, and focal length are each in millimeters (mm).
TABLE 1a
Wherein f is the effective focal length of the optical system, FNO is the f-number of the optical system, FOV is the angle of view of the optical system, and TTL is the distance from the object side surface of the first lens to the imaging surface of the optical system on the optical axis.
In the present embodiment, the object side surface and the image side surface of any one of the first lens L1 to the sixth lens L6 are aspheric, and the surface shape x of each aspheric lens can be defined by, but not limited to, the following aspheric formula:
where x is the distance vector height of the aspherical surface at a position h in the optical axis direction from the apex of the aspherical surface, c is the paraxial curvature of the aspherical surface, c=1/R (i.e., paraxial curvature c is the reciprocal of the radius R of Y in table 1a above), k is a conic coefficient, and Ai is the correction coefficient of the i-th order of the aspherical surface. Table 1b shows the higher order coefficients A4, A6, A8, A10, A12, A14, A16, A18 and A20 that can be used for each of the aspherical mirrors S1-S10 in the first embodiment.
TABLE 1b
Fig. 1b shows a longitudinal spherical aberration curve, an astigmatic curve and a distortion curve of the optical system of the first embodiment. The longitudinal spherical aberration curve represents the deviation of the converging focus of light rays with different wavelengths after passing through each lens of the optical system, the astigmatic curve represents meridian image surface bending and sagittal image surface bending, and the distortion curve represents distortion magnitude values corresponding to different field angles. As can be seen from fig. 1b, the optical system according to the first embodiment can achieve good imaging quality.
Second embodiment
Referring to fig. 2a and 2b, the optical system of the present embodiment includes, in order from an object side to an image side along an optical axis:
the first lens element L1 with positive refractive power, wherein an object-side surface S1 of the first lens element L1 at a paraxial region and a near-circumferential region is convex, and an image-side surface S2 of the first lens element L1 at a paraxial region and a near-circumferential region is convex;
The second lens element L2 with negative refractive power, wherein an object-side surface S3 of the second lens element L2 at a paraxial region and a near-circumferential region is convex, and an image-side surface S4 of the second lens element L2 at a paraxial region and a near-circumferential region is concave;
the third lens element L3 with negative refractive power, wherein an object-side surface S5 of the third lens element L3 at a paraxial region is concave, an object-side surface S5 at a near-circumferential region is convex, and image-side surfaces S6 of the third lens element L3 at the paraxial region and the near-circumferential region are convex;
The fourth lens element L4 has a negative refractive power, wherein an object-side surface S7 of the fourth lens element L4 at a paraxial region thereof is concave, an object-side surface S7 of the fourth lens element L4 at a near-circumferential region thereof is convex, an image-side surface S8 of the fourth lens element L4 at a paraxial region thereof is convex, and an image-side surface S8 of the fourth lens element L4 at a near-circumferential region thereof is concave;
the fifth lens element L5 has a negative refractive power, wherein an object-side surface S9 of the fifth lens element L5 at a paraxial region and a near-circumferential region is concave, an image-side surface S10 of the fifth lens element L5 at a paraxial region is concave, and an image-side surface S10 at a near-circumferential region is convex.
The sixth lens element L6 has a positive refractive power, wherein the object-side surface S11 of the sixth lens element L6 is convex at a paraxial region thereof and the object-side surface S11 of the sixth lens element L6 is concave at a near-peripheral region thereof, and the image-side surface S12 of the sixth lens element L6 is convex at a paraxial region thereof and at a near-peripheral region thereof.
The other structures of the second embodiment are the same as those of the first embodiment, and reference is made thereto.
Table 2a shows a table of characteristics of the optical system of the present embodiment, in which data is obtained using light having a wavelength of 587nm, and Y radius, thickness, and focal length are each in millimeters (mm).
TABLE 2a
The meaning of each parameter in table 2a is the same as that of each parameter in the first embodiment.
Table 2b gives the higher order coefficients that can be used for each aspherical mirror in the second embodiment, where each aspherical mirror profile can be defined by the formula given in the first embodiment.
TABLE 2b
Fig. 2b shows a longitudinal spherical aberration curve, an astigmatic curve and a distortion curve of the optical system of the second embodiment. As can be seen from fig. 2b, the optical system according to the second embodiment can achieve good imaging quality.
Third embodiment
Referring to fig. 3a and 3b, the optical system of the present embodiment includes, in order from an object side to an image side along an optical axis:
the first lens element L1 with positive refractive power, wherein an object-side surface S1 of the first lens element L1 at a paraxial region and a near-circumferential region is convex, and an image-side surface S2 of the first lens element L1 at a paraxial region and a near-circumferential region is convex;
The second lens element L2 with negative refractive power, wherein an object-side surface S3 of the second lens element L2 at a paraxial region and a near-circumferential region is convex, and an image-side surface S4 of the second lens element L2 at a paraxial region and a near-circumferential region is concave;
The third lens element L3 with negative refractive power, wherein an object-side surface S5 of the third lens element L3 at a paraxial region and a near-circumferential region is concave, and an image-side surface S6 of the third lens element L3 at a paraxial region and a near-circumferential region is convex;
The fourth lens element L4 with positive refractive power, wherein an object-side surface S7 of the fourth lens element L4 at a paraxial region thereof is concave, an object-side surface S7 of the fourth lens element L4 at a near-circumferential region thereof is convex, an image-side surface S8 of the fourth lens element L4 at a paraxial region thereof is convex, and an image-side surface S8 of the fourth lens element L4 at a near-circumferential region thereof is concave;
The fifth lens element L5 has a negative refractive power, wherein an object-side surface S9 of the fifth lens element L5 at a paraxial region and a near-circumferential region is concave, an image-side surface S10 of the fifth lens element L5 at a paraxial region is concave, and an image-side surface S10 at a near-circumferential region is convex.
The sixth lens element L6 has a negative refractive power, wherein an object-side surface S11 of the sixth lens element L6 at a paraxial region is convex, an object-side surface S11 at a near-circumferential region is concave, an image-side surface S12 of the sixth lens element L6 at a paraxial region is concave, and an image-side surface S12 at a near-circumferential region is convex.
The other structures of the third embodiment are the same as those of the first embodiment, and reference is made thereto.
Table 3a shows a table of characteristics of the optical system of the present embodiment, in which data is obtained using light having a wavelength of 587nm, and Y radius, thickness, and focal length are each in millimeters (mm).
TABLE 3a
The meaning of each parameter in table 3a is the same as that of each parameter in the first embodiment.
Table 3b gives the higher order coefficients that can be used for each of the aspherical mirror surfaces in the third embodiment, where each of the aspherical surface types can be defined by the formula given in the first embodiment.
TABLE 3b
Fig. 3b shows a longitudinal spherical aberration curve, an astigmatic curve and a distortion curve of the optical system of the third embodiment. As can be seen from fig. 3b, the optical system according to the third embodiment can achieve good imaging quality.
Fourth embodiment
Referring to fig. 4a and 4b, the optical system of the present embodiment includes, in order from an object side to an image side along an optical axis:
the first lens element L1 with positive refractive power, wherein an object-side surface S1 of the first lens element L1 at a paraxial region and a near-circumferential region is convex, and an image-side surface S2 of the first lens element L1 at a paraxial region and a near-circumferential region is convex;
The second lens element L2 with negative refractive power, wherein an object-side surface S3 of the second lens element L2 at a paraxial region and a near-circumferential region is convex, and an image-side surface S4 of the second lens element L2 at a paraxial region and a near-circumferential region is concave;
the third lens element L3 with negative refractive power, wherein an object-side surface S5 of the third lens element L3 at a paraxial region is concave, an object-side surface S5 at a near-circumferential region is convex, an image-side surface S6 of the third lens element L3 at a paraxial region is convex, and an image-side surface S6 at a near-circumferential region is concave;
the fourth lens element L4 with positive refractive power, wherein an object-side surface S7 of the fourth lens element L4 at a paraxial region and a near-circumferential region is convex, an image-side surface S8 of the fourth lens element L4 at a paraxial region is convex, and an image-side surface S8 at a near-circumferential region is concave;
the fifth lens element L5 has a negative refractive power, wherein an object-side surface S9 of the fifth lens element L5 at a paraxial region and a near-circumferential region is concave, an image-side surface S10 of the fifth lens element L5 at a paraxial region is concave, and an image-side surface S10 at a near-circumferential region is convex.
The sixth lens element L6 has a positive refractive power, wherein the object-side surface S11 of the sixth lens element L6 is convex at a paraxial region thereof and the object-side surface S11 of the sixth lens element L6 is concave at a near-peripheral region thereof, and the image-side surface S12 of the sixth lens element L6 is convex at a paraxial region thereof and at a near-peripheral region thereof.
The other structures of the fourth embodiment are the same as those of the first embodiment, and reference is made thereto.
Table 4a shows a table of characteristics of the optical system of the present embodiment, in which data is obtained using light having a wavelength of 587nm, and Y radius, thickness, and focal length are each in millimeters (mm).
TABLE 4a
The meaning of each parameter in table 4a is the same as that of each parameter in the first embodiment.
Table 4b gives the higher order coefficients that can be used for each aspherical mirror in the fourth embodiment, where each aspherical mirror profile can be defined by the formula given in the first embodiment.
TABLE 4b
Fig. 4b shows a longitudinal spherical aberration curve, an astigmatic curve and a distortion curve of the optical system of the fourth embodiment. As can be seen from fig. 4b, the optical system according to the fourth embodiment can achieve good imaging quality.
Fifth embodiment
Referring to fig. 5a and 5b, the optical system of the present embodiment includes, in order from an object side to an image side along an optical axis:
The first lens element L1 with positive refractive power, wherein an object-side surface S1 of the first lens element L1 at a paraxial region and a near-circumferential region is convex, an image-side surface S2 of the first lens element L1 at a paraxial region is convex, and an image-side surface S2 at a near-circumferential region is concave;
The second lens element L2 with negative refractive power, wherein an object-side surface S3 of the second lens element L2 at a paraxial region and a near-circumferential region is convex, and an image-side surface S4 of the second lens element L2 at a paraxial region and a near-circumferential region is concave;
The third lens element L3 with negative refractive power, wherein an object-side surface S5 of the third lens element L3 at a paraxial region and a near-circumferential region is convex, and an image-side surface S6 of the third lens element L3 at a paraxial region and a near-circumferential region is concave;
the fourth lens element L4 with positive refractive power, wherein an object-side surface S7 of the fourth lens element L4 at a paraxial region and a near-circumferential region is convex, an image-side surface S8 of the fourth lens element L4 at a paraxial region is convex, and an image-side surface S8 at a near-circumferential region is concave;
the fifth lens element L5 has a negative refractive power, wherein an object-side surface S9 of the fifth lens element L5 at a paraxial region is concave, an object-side surface S9 of the fifth lens element L5 at a near-circumferential region is convex, an image-side surface S10 of the fifth lens element L5 at a paraxial region is concave, and an image-side surface S10 of the fifth lens element L5 at a near-circumferential region is convex.
The sixth lens element L6 has a positive refractive power, wherein the object-side surface S11 of the sixth lens element L6 is convex at a paraxial region thereof and the object-side surface S11 of the sixth lens element L6 is concave at a near-peripheral region thereof, and the image-side surface S12 of the sixth lens element L6 is convex at a paraxial region thereof and at a near-peripheral region thereof.
The other structures of the fifth embodiment are the same as those of the first embodiment, and reference is made thereto.
Table 5a shows a table of characteristics of the optical system of the present embodiment, in which data is obtained using light having a wavelength of 587nm, and Y radius, thickness, and focal length are each in millimeters (mm).
TABLE 5a
The meaning of each parameter in table 5a is the same as that of each parameter in the first embodiment.
Table 5b gives the higher order coefficients that can be used for each of the aspherical mirror surfaces in the fifth embodiment, where each of the aspherical surface types can be defined by the formula given in the first embodiment.
TABLE 5b
Fig. 5b shows a longitudinal spherical aberration curve, an astigmatic curve and a distortion curve of the optical system of the fifth embodiment. As can be seen from fig. 5b, the optical system according to the fifth embodiment can achieve good imaging quality.
Sixth embodiment
Referring to fig. 6a and 6b, the optical system of the present embodiment includes, in order from an object side to an image side along an optical axis:
the first lens element L1 with positive refractive power, wherein an object-side surface S1 of the first lens element L1 at a paraxial region and a near-circumferential region is convex, and an image-side surface S2 of the first lens element L1 at a paraxial region and a near-circumferential region is convex;
the second lens element L2 with negative refractive power has a concave object-side surface S3 at a paraxial region of the second lens element L2 and a convex object-side surface S3 at a near-circumferential region of the second lens element L2 and a concave image-side surface S4 at a paraxial region and a near-circumferential region of the second lens element L2;
The third lens element L3 with negative refractive power, wherein an object-side surface S5 of the third lens element L3 at a paraxial region is concave, an object-side surface S5 at a near-circumferential region is convex, and image-side surfaces S6 of the third lens element L3 at the paraxial region and the near-circumferential region are concave;
The fourth lens element L4 with negative refractive power, wherein an object-side surface S7 of the fourth lens element L4 at a paraxial region and a near-circumferential region is concave, and an image-side surface S8 of the fourth lens element L4 at a paraxial region and a near-circumferential region is concave;
the fifth lens element L5 has a negative refractive power, wherein an object-side surface S9 of the fifth lens element L5 at a paraxial region and a near-circumferential region is concave, an image-side surface S10 of the fifth lens element L5 at a paraxial region is concave, and an image-side surface S10 at a near-circumferential region is convex.
The sixth lens element L6 has a positive refractive power, wherein the object-side surface S11 of the sixth lens element L6 is convex at a paraxial region thereof and the object-side surface S11 of the sixth lens element L6 is concave at a near-peripheral region thereof, and the image-side surface S12 of the sixth lens element L6 is convex at a paraxial region thereof and at a near-peripheral region thereof.
The other structures of the sixth embodiment are the same as those of the first embodiment, and reference is made thereto.
Table 6a shows a table of characteristics of the optical system of the present embodiment, in which data is obtained using light having a wavelength of 587nm, and Y radius, thickness, and focal length are each in millimeters (mm).
TABLE 6a
The meaning of each parameter in table 6a is the same as that of each parameter in the first embodiment.
Table 6b gives the higher order coefficients that can be used for each aspherical mirror in the sixth embodiment, where each aspherical mirror profile can be defined by the formula given in the first embodiment.
TABLE 6b
Fig. 6b shows a longitudinal spherical aberration curve, an astigmatic curve, and a distortion curve of the optical system of the sixth embodiment. As can be seen from fig. 6b, the optical system according to the sixth embodiment can achieve good imaging quality.
Seventh embodiment
Referring to fig. 7a and 7b, the optical system of the present embodiment includes, in order from an object side to an image side along an optical axis:
the first lens element L1 with positive refractive power, wherein an object-side surface S1 of the first lens element L1 at a paraxial region and a near-circumferential region is convex, and an image-side surface S2 of the first lens element L1 at a paraxial region and a near-circumferential region is convex;
The second lens element L2 with negative refractive power, wherein an object-side surface S3 of the second lens element L2 at a paraxial region and a near-circumferential region is convex, and an image-side surface S4 of the second lens element L2 at a paraxial region and a near-circumferential region is concave;
The third lens element L3 with negative refractive power, wherein an object-side surface S5 of the third lens element L3 at a paraxial region and a near-circumferential region is convex, and an image-side surface S6 of the third lens element L3 at a paraxial region and a near-circumferential region is concave;
The fourth lens element L4 with positive refractive power, wherein an object-side surface S7 of the fourth lens element L4 at a paraxial region thereof is concave, an object-side surface S7 of the fourth lens element L4 at a near-circumferential region thereof is convex, and an image-side surface S8 of the fourth lens element L4 at a paraxial region thereof is convex;
The fifth lens element L5 with negative refractive power, wherein the object-side surface S9 of the fifth lens element L5 at the paraxial region and the near-peripheral region is concave, the image-side surface S10 of the fifth lens element L5 at the paraxial region is concave, and the image-side surface S10 at the near-peripheral region is convex;
The sixth lens element L6 has a positive refractive power, wherein the object-side surface S11 of the sixth lens element L6 is convex at a paraxial region thereof and the object-side surface S11 of the sixth lens element L6 is concave at a near-peripheral region thereof, and the image-side surface S12 of the sixth lens element L6 is convex at a paraxial region thereof and at a near-peripheral region thereof.
The other structures of the seventh embodiment are the same as those of the first embodiment, and reference is made thereto.
Table 7a shows a table of characteristics of the optical system of the present embodiment, in which data is obtained using light having a wavelength of 587nm, and Y radius, thickness, and focal length are each in millimeters (mm).
TABLE 7a
The meaning of each parameter in table 7a is the same as that of each parameter in the first embodiment.
Table 7b gives the higher order coefficients that can be used for each aspherical mirror in the seventh embodiment, where each aspherical mirror profile can be defined by the formula given in the first embodiment.
TABLE 7b
Fig. 7b shows a longitudinal spherical aberration curve, an astigmatic curve, and a distortion curve of the optical system of the seventh embodiment. As can be seen from fig. 7b, the optical system according to the seventh embodiment can achieve good imaging quality.
Eighth embodiment
Referring to fig. 8a and 8b, the optical system of the present embodiment includes, in order from an object side to an image side along an optical axis:
the first lens element L1 with positive refractive power, wherein an object-side surface S1 of the first lens element L1 at a paraxial region and a near-circumferential region is convex, and an image-side surface S2 of the first lens element L1 at a paraxial region and a near-circumferential region is convex;
The second lens element L2 with negative refractive power, wherein an object-side surface S3 of the second lens element L2 at a paraxial region and a near-circumferential region is convex, and an image-side surface S4 of the second lens element L2 at a paraxial region and a near-circumferential region is concave;
The third lens element L3 with negative refractive power, wherein an object-side surface S5 of the third lens element L3 at a paraxial region and a near-circumferential region is concave, and an image-side surface S6 of the third lens element L3 at a paraxial region and a near-circumferential region is convex;
The fourth lens element L4 with positive refractive power, wherein an object-side surface S7 of the fourth lens element L4 at a paraxial region and a near-circumferential region is concave, an image-side surface S8 of the fourth lens element L4 at a paraxial region is convex, and an image-side surface S8 at a near-circumferential region is concave;
the fifth lens element L5 with negative refractive power has a convex object-side surface S9 at a paraxial region of the fifth lens element L5 and a concave object-side surface S9 at a near-circumferential region thereof, and has a concave image-side surface S10 at a paraxial region of the fifth lens element L5 and a convex image-side surface S10 at a near-circumferential region thereof;
The sixth lens element L6 has a negative refractive power, wherein an object-side surface S11 of the sixth lens element L6 is concave at a paraxial region and a near-circumferential region, and an image-side surface S12 of the sixth lens element L6 is convex at a paraxial region and a near-circumferential region.
The other structures of the eighth embodiment are the same as those of the first embodiment, and reference is made thereto.
Table 8a shows a table of characteristics of the optical system of the present embodiment, in which data is obtained using light having a wavelength of 587nm, and Y radius, thickness, and focal length are each in millimeters (mm).
TABLE 8a
The meaning of each parameter in table 8a is the same as that of each parameter in the first embodiment.
Table 8b gives the higher order coefficients that can be used for each aspherical mirror in the eighth embodiment, where each aspherical mirror profile can be defined by the formula given in the first embodiment.
TABLE 8b
Fig. 8b shows a longitudinal spherical aberration curve, an astigmatic curve, and a distortion curve of the optical system of the eighth embodiment. As can be seen from fig. 8b, the optical system according to the eighth embodiment can achieve good imaging quality.
Ninth embodiment
Referring to fig. 9a and 9b, the optical system of the present embodiment includes, in order from an object side to an image side along an optical axis:
the first lens element L1 with positive refractive power, wherein an object-side surface S1 of the first lens element L1 at a paraxial region and a near-circumferential region is convex, and an image-side surface S2 of the first lens element L1 at a paraxial region and a near-circumferential region is convex;
The second lens element L2 with negative refractive power, wherein an object-side surface S3 of the second lens element L2 at a paraxial region and a near-circumferential region is convex, and an image-side surface S4 of the second lens element L2 at a paraxial region and a near-circumferential region is concave;
The third lens element L3 with negative refractive power, wherein an object-side surface S5 of the third lens element L3 at a paraxial region and a near-circumferential region is convex, and an image-side surface S6 of the third lens element L3 at a paraxial region and a near-circumferential region is concave;
The fourth lens element L4 with positive refractive power, wherein an object-side surface S7 of the fourth lens element L4 at a paraxial region thereof is concave, an object-side surface S7 of the fourth lens element L4 at a near-circumferential region thereof is convex, an image-side surface S8 of the fourth lens element L4 at a paraxial region thereof is convex, and an image-side surface S8 of the fourth lens element L4 at a near-circumferential region thereof is concave;
The fifth lens element L5 with negative refractive power has a convex object-side surface S9 at a paraxial region of the fifth lens element L5 and a concave object-side surface S9 at a near-circumferential region of the fifth lens element L5, and has a convex image-side surface S10 at a paraxial region and a near-circumferential region of the fifth lens element L5;
The sixth lens element L6 has a positive refractive power, wherein an object-side surface S11 of the sixth lens element L6 is concave at a paraxial region and a near-circumferential region, and an image-side surface S12 of the sixth lens element L6 is convex at a paraxial region and a near-circumferential region.
The other structure of the ninth embodiment is the same as that of the first embodiment, and reference is made thereto.
Table 9a shows a table of characteristics of the optical system of the present embodiment, in which data is obtained using light having a wavelength of 587nm, and Y radius, thickness, and focal length are each in millimeters (mm).
TABLE 9a
The meaning of each parameter in table 9a is the same as that of each parameter in the first embodiment.
Table 9b gives the higher order coefficients that can be used for each aspherical mirror in the ninth embodiment, where each aspherical mirror profile can be defined by the formula given in the first embodiment.
TABLE 9b
Fig. 9b shows a longitudinal spherical aberration curve, an astigmatic curve, and a distortion curve of the optical system of the ninth embodiment. As can be seen from fig. 9b, the optical system according to the ninth embodiment can achieve good imaging quality.
Table 10 shows the values of f14/f, TTL/f, T45/f, CT2/R22, |SAG32|+|SAG42|, SAG12/CT1, |V2-V1|, (ET 3+ ET 4)/(CT 3+ CT 4), FOV/f, and f6/f of the optical systems of the first to ninth embodiments.
Table 10
As can be seen from Table 10, each of the examples satisfies :f14/f≤1.5、TTL/f≤1、T45/f≤0.5、CT2/R22≤0.5、|SAG32|+|SAG42|≤1、SAG12/CT1≤0.5、|V2-V1|>30、1≤(ET3+ET4)/(CT3+CT4)≤2、5°/mm≤FOV/f≤10°/mm、-3≤f6/f≤-1.
The above disclosure is only a preferred embodiment of the present invention, and it should be understood that the scope of the invention is not limited thereto, and those skilled in the art will appreciate that all or part of the procedures described above can be performed according to the equivalent modifications of the claims, and still fall within the scope of the present invention.