WO2021114248A1 - Camera optical lens - Google Patents
Camera optical lens Download PDFInfo
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- WO2021114248A1 WO2021114248A1 PCT/CN2019/125233 CN2019125233W WO2021114248A1 WO 2021114248 A1 WO2021114248 A1 WO 2021114248A1 CN 2019125233 W CN2019125233 W CN 2019125233W WO 2021114248 A1 WO2021114248 A1 WO 2021114248A1
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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
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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
Definitions
- the present invention relates to the field of optical lenses, in particular to an imaging optical lens suitable for portable terminal equipment such as smart phones and digital cameras, as well as imaging devices such as monitors and PC lenses.
- the photosensitive devices of general photographic lenses are nothing more than photosensitive coupled devices (CCD) or complementary metal oxide semiconductor devices (Complementary Metal).
- CCD photosensitive coupled devices
- CMOS Sensor complementary metal oxide semiconductor devices
- the miniaturized camera lens with image quality has become the mainstream in the current market.
- the lenses traditionally mounted on mobile phone cameras often adopt three-element, four-element, or even five-element or six-element lens structures.
- the pixel area of the photosensitive device continues to shrink, and the system's requirements for image quality continue to increase, the eight-element lens structure gradually appears in the lens design, and it is common Although the eight-element lens has good optical performance, its optical power, lens spacing and lens shape settings are still unreasonable, resulting in the lens structure having good optical performance, but cannot meet the requirements of large aperture, Design requirements for ultra-thin and wide-angle.
- the object of the present invention is to provide an imaging optical lens that can meet the requirements of ultra-thin and wide-angle while obtaining high imaging performance.
- the embodiments of the present invention provide an imaging optical lens.
- the imaging optical lens includes a first lens, a second lens, a third lens, and a fourth lens in order from the object side to the image side.
- the on-axis thickness of the third lens is d5
- the on-axis distance from the image side surface of the third lens to the object side surface of the fourth lens is d6, and the following relationship is satisfied: 1.50 ⁇ d5/d6 ⁇ 4.00 .
- the focal length of the fifth lens is f5
- the focal length of the sixth lens is f6, and the following relationship is satisfied: 3.50 ⁇ f5/f6 ⁇ 6.00.
- the radius of curvature of the object side surface of the first lens is R1
- the radius of curvature of the image side surface of the first lens is R2
- the axial thickness of the first lens is d1
- the total optical length of the imaging optical lens is TTL
- the radius of curvature of the object side surface of the second lens is R3, the radius of curvature of the image side surface of the second lens is R4, the axial thickness of the second lens is d3, and the total optical length of the imaging optical lens is TTL, and satisfies the following relationship: -443.09 ⁇ f2/f ⁇ -22.52; 18.63 ⁇ (R3+R4)/(R3-R4) ⁇ 141.75; 0.01 ⁇ d3/TTL ⁇ 0.04.
- the focal length of the third lens is f3, the radius of curvature of the object side of the third lens is R5, the radius of curvature of the image side of the third lens is R6, and the on-axis thickness of the third lens is d5 ,
- the total optical length of the camera optical lens is TTL, and satisfies the following relationship: 0.50 ⁇ f3/f ⁇ 1.59; -0.41 ⁇ (R5+R6)/(R5-R6) ⁇ -0.12; 0.05 ⁇ d5/TTL ⁇ 0.15.
- the focal length of the fourth lens is f4
- the radius of curvature of the object side of the fourth lens is R7
- the radius of curvature of the image side of the fourth lens is R8, and the on-axis thickness of the fourth lens is d7
- the total optical length of the camera optical lens is TTL, and satisfies the following relationship: -7.30 ⁇ f4/f ⁇ -2.34; 1.62 ⁇ (R7+R8)/(R7-R8) ⁇ 5.02; 0.01 ⁇ d7/TTL ⁇ 0.05.
- the focal length of the fifth lens is f5
- the radius of curvature of the object side of the fifth lens is R9
- the radius of curvature of the image side of the fifth lens is R10
- the on-axis thickness of the fifth lens is d9
- the total optical length of the camera optical lens is TTL, and satisfies the following relationship: -28.44 ⁇ f5/f ⁇ -7.69; 1.86 ⁇ (R9+R10)/(R9-R10) ⁇ 6.84; 0.02 ⁇ d9/TTL ⁇ 0.05.
- the focal length of the sixth lens is f6, the radius of curvature of the object side of the sixth lens is R11, the radius of curvature of the image side of the sixth lens is R12, and the on-axis thickness of the sixth lens is d11 ,
- the total optical length of the camera optical lens is TTL, and satisfies the following relationship: -6.18 ⁇ f6/f ⁇ -1.68; 2.04 ⁇ (R11+R12)/(R11-R12) ⁇ 7.94; 0.03 ⁇ d11/TTL ⁇ 0.08.
- the focal length of the seventh lens is f7
- the radius of curvature of the object side of the seventh lens is R13
- the radius of curvature of the image side of the seventh lens is R14
- the on-axis thickness of the seventh lens is d13
- the total optical length of the camera optical lens is TTL, and satisfies the following relationship: 0.46 ⁇ f7/f ⁇ 1.47; -3.72 ⁇ (R13+R14)/(R13-R14) ⁇ -0.82; 0.04 ⁇ d13/TTL ⁇ 0.20.
- the focal length of the eighth lens is f8, the radius of curvature of the object side of the eighth lens is R15, the radius of curvature of the image side of the eighth lens is R16, and the on-axis thickness of the eighth lens is d15 ,
- the total optical length of the camera optical lens is TTL, and satisfies the following relationship: -1.51 ⁇ f8/f ⁇ -0.43; -0.94 ⁇ (R15+R16)/(R15-R16) ⁇ -0.19; 0.04 ⁇ d15/ TTL ⁇ 0.22.
- the imaging optical lens according to the present invention has good optical performance, and has the characteristics of large aperture, wide angle, and ultra-thinness, and is especially suitable for mobile phones composed of high-pixel CCD, CMOS and other imaging elements.
- Camera lens assembly and WEB camera lens are examples of the imaging optical lens according to the present invention.
- FIG. 1 is a schematic diagram of the structure of an imaging optical lens according to a first embodiment of the present invention
- FIG. 2 is a schematic diagram of axial aberration of the imaging optical lens shown in FIG. 1;
- FIG. 3 is a schematic diagram of the chromatic aberration of magnification of the imaging optical lens shown in FIG. 1;
- FIG. 4 is a schematic diagram of field curvature and distortion of the imaging optical lens shown in FIG. 1;
- FIG. 5 is a schematic diagram of the structure of an imaging optical lens according to a second embodiment of the present invention.
- FIG. 6 is a schematic diagram of axial aberration of the imaging optical lens shown in FIG. 5;
- FIG. 7 is a schematic diagram of the chromatic aberration of magnification of the imaging optical lens shown in FIG. 5;
- FIG. 8 is a schematic diagram of field curvature and distortion of the imaging optical lens shown in FIG. 5;
- FIG. 9 is a schematic diagram of the structure of an imaging optical lens according to a third embodiment of the present invention.
- FIG. 10 is a schematic diagram of axial aberration of the imaging optical lens shown in FIG. 9;
- FIG. 11 is a schematic diagram of the chromatic aberration of magnification of the imaging optical lens shown in FIG. 9;
- FIG. 12 is a schematic diagram of field curvature and distortion of the imaging optical lens shown in FIG. 9.
- FIG. 1 shows an imaging optical lens 10 according to a first embodiment of the present invention.
- the imaging optical lens 10 includes eight lenses. Specifically, the imaging optical lens 10 includes in order from the object side to the image side: an aperture S1, a first lens L1, a second lens L2, a third lens L3, a fourth lens L4, a fifth lens L5, and a sixth lens. Lens L6, seventh lens L7, and eighth lens L8.
- An optical element such as an optical filter GF may be provided between the eighth lens L8 and the image plane Si.
- the first lens has positive refractive power
- the second lens has negative refractive power
- the third lens has positive refractive power
- the fourth lens has negative refractive power
- the fifth lens has negative refractive power
- the sixth lens element has a negative refractive power
- the seventh lens element has a positive refractive power
- the eighth lens element has a negative refractive power.
- the focal length of the overall imaging optical lens 10 is defined as f, and the focal length of the first lens L1 is f1, 3.50 ⁇ f1/f ⁇ 6.50, which can effectively balance the spherical aberration and field curvature of the system.
- the focal length of the second lens L2 is defined as f2, f2 ⁇ 0; through the reasonable allocation of the optical focal length, the system has better imaging quality and lower sensitivity.
- the refractive index of the seventh lens L7 is defined as n7, 1.55 ⁇ n7 ⁇ 1.70, and the refractive index of the seventh lens is specified. In this range, it is more conducive to the development of ultra-thinness and at the same time conducive to correcting aberrations.
- the on-axis thickness of the third lens L3 is d5, and the on-axis distance from the image side surface of the third lens L3 to the object side surface of the fourth lens L4 is d6, which satisfies 1.50 ⁇ d5/d6 ⁇ 4.00, which stipulates the third
- the ratio of the thickness of the lens to the air gap between the third and the fourth lens helps to compress the total length of the optical system within the range of the conditional formula, and achieves an ultra-thinning effect.
- the focal length of the fifth lens L5 is f5
- the focal length of the sixth lens L6 is f6, and the following relationship is satisfied: 3.50 ⁇ f5/f6 ⁇ 6.00.
- the ratio of the focal length of the fifth and sixth lenses is specified, and the system has better imaging quality and lower sensitivity through the reasonable distribution of optical power.
- the curvature radius R1 of the object side surface of the first lens L1 and the curvature radius R2 of the image side surface of the first lens L1 satisfy the following relationship: -36.07 ⁇ (R1+R2)/(R1-R2) ⁇ -8.17, within the range of the conditional expression , Reasonably control the shape of the first lens so that the first lens can effectively correct the spherical aberration of the system.
- it satisfies -22.54 ⁇ (R1+R2)/(R1-R2) ⁇ -10.21.
- the axial thickness of the first lens L1 is d1
- the total optical length of the imaging optical lens is TTL, which satisfies the following relationship: 0.02 ⁇ d1/TTL ⁇ 0.10.
- it is beneficial to realize ultra-thinness Preferably, 0.03 ⁇ d1/TTL ⁇ 0.08 is satisfied.
- the focal length of the overall imaging optical lens 10 as f
- the focal length of the second lens L2 as f2
- the focal length of the second lens L2 as f2
- the focal length of the second lens L2 is f2
- -443.09 ⁇ f2/f ⁇ -22.52 by controlling the negative power of the second lens L2 in a reasonable range .
- It is helpful to correct the aberration of the optical system Preferably, -276.93 ⁇ f2/f ⁇ -28.15 is satisfied.
- the curvature radius of the object side surface of the second lens L2 is R3, and the curvature radius of the image side surface of the second lens L2 is R4, 18.63 ⁇ (R3+R4)/(R3-R4) ⁇ 141.75, which specifies the second lens L2
- the shape of the lens is within the range, as the lens develops towards ultra-thin and wide-angle, it is helpful to correct the problem of axial chromatic aberration.
- it satisfies 29.81 ⁇ (R3+R4)/(R3-R4) ⁇ 113.40.
- the on-axis thickness of the second lens L2 is d3, which satisfies the following relationship: 0.01 ⁇ d3/TTL ⁇ 0.04, which is beneficial to realize ultra-thinness.
- 0.02 ⁇ d3/TTL ⁇ 0.03 is satisfied.
- the focal length of the overall imaging optical lens 10 as f
- the focal length of the third lens L3 as f3
- the system has Better imaging quality and lower sensitivity.
- 0.80 ⁇ f3/f ⁇ 1.27 is satisfied.
- the curvature radius R5 of the object side surface of the third lens L3 and the curvature radius R6 of the image side surface of the third lens L3 satisfy the following relationship: -0.41 ⁇ (R5+R6)/(R5-R6) ⁇ -0.12, which specifies the third lens
- the shape of, within the range specified by the conditional formula, can ease the degree of deflection of light passing through the lens and effectively reduce aberrations.
- -0.25 ⁇ (R5+R6)/(R5-R6) ⁇ -0.15 is satisfied.
- the on-axis thickness of the third lens L3 is d5, which satisfies the following relationship: 0.05 ⁇ d5/TTL ⁇ 0.15, which is beneficial to realize ultra-thinness.
- 0.07 ⁇ d5/TTL ⁇ 0.12 is satisfied.
- the focal length of the overall imaging optical lens 10 as f
- the focal length of the fourth lens L4 as f4
- f4 which satisfies the following relationship: -7.30 ⁇ f4/f ⁇ -2.34, which specifies the ratio of the focal length of the fourth lens to the focal length of the system.
- the range helps to improve the performance of the optical system.
- -4.56 ⁇ f4/f ⁇ -2.92 is satisfied.
- the curvature radius R7 of the object side surface of the fourth lens L4 and the curvature radius R8 of the image side surface of the fourth lens L4 satisfy the following relationship: 1.62 ⁇ (R7+R8)/(R7-R8) ⁇ 5.02, which is the fourth lens L4
- 1.62 ⁇ (R7+R8)/(R7-R8) ⁇ 5.02 which is the fourth lens L4
- the shape is within the range, with the development of ultra-thin and wide-angle, it is helpful to correct the aberration of the off-axis angle of view.
- 2.59 ⁇ (R7+R8)/(R7-R8) ⁇ 4.01 is satisfied.
- the on-axis thickness of the fourth lens L4 is d7, which satisfies the following relationship: 0.01 ⁇ d7/TTL ⁇ 0.05, which is beneficial to realize ultra-thinness.
- 0.02 ⁇ d7/TTL ⁇ 0.04 is satisfied.
- the focal length of the overall imaging optical lens 10 as f
- the focal length of the fifth lens L5 as f5
- the limitation on the fifth lens L5 can effectively make the imaging lens 10
- the light angle is gentle, reducing tolerance sensitivity.
- -17.77 ⁇ f5/f ⁇ -9.62 is satisfied.
- the curvature radius R9 of the object side surface of the fifth lens L5 and the curvature radius R10 of the image side surface of the fifth lens L5 satisfy the following relationship: 1.86 ⁇ (R9+R10)/(R9-R10) ⁇ 6.84, and the fifth lens L5 is specified
- the shape is within the range of conditions, with the development of ultra-thin and wide-angle, it is helpful to correct the aberration of the off-axis angle of view.
- 2.98 ⁇ (R9+R10)/(R9-R10) ⁇ 5.47 is satisfied.
- the on-axis thickness of the fifth lens L5 is d9, which satisfies the following relationship: 0.02 ⁇ d9/TTL ⁇ 0.05, which is beneficial to realize ultra-thinness.
- 0.02 ⁇ d9/TTL ⁇ 0.04 is satisfied.
- the focal length of the overall imaging optical lens 10 as f
- the focal length of the sixth lens L6 as f6, which satisfies the following relationship: -6.18 ⁇ f6/f ⁇ -1.68.
- the system has better imaging Quality and low sensitivity.
- it satisfies -3.86 ⁇ f6/f ⁇ -2.10.
- the curvature radius of the sixth lens L6 is R11, and the curvature radius of the sixth lens L6 is R12, which satisfies the following relationship: 2.04 ⁇ (R11+R12)/(R11-R12) ⁇ 7.94, which specifies the sixth lens
- the shape of L6 is within the range, with the development of ultra-thin and wide-angle, it is helpful to correct the aberration of off-axis angle of view.
- 3.27 ⁇ (R11+R12)/(R11-R12) ⁇ 6.35 is satisfied.
- the on-axis thickness of the sixth lens L6 is d11, which satisfies the following relationship: 0.03 ⁇ d11/TTL ⁇ 0.08, which is beneficial to realize ultra-thinness.
- 0.04 ⁇ d11/TTL ⁇ 0.06 is satisfied.
- the focal length of the overall imaging optical lens 10 as f
- the focal length of the seventh lens L7 as f7
- the system has Better imaging quality and lower sensitivity.
- 0.73 ⁇ f7/f ⁇ 1.17 is satisfied.
- the curvature radius of the object side surface of the seventh lens L7 is R13
- the curvature radius of the image side surface of the seventh lens L7 is R14
- the shape of the seven lens L7 is within the range of conditions, with the development of ultra-thin and wide-angle, it is beneficial to correct the aberration of the off-axis angle of view.
- it satisfies -2.33 ⁇ (R13+R14)/(R13-R14) ⁇ -1.02.
- the on-axis thickness of the seventh lens L7 is d13, which satisfies the following relationship: 0.04 ⁇ d13/TTL ⁇ 0.20, which is beneficial to realize ultra-thinness.
- 0.07 ⁇ d13/TTL ⁇ 0.16 is satisfied.
- the focal length of the overall imaging optical lens 10 as f
- the focal length of the eighth lens L8 as f8
- f8 the focal length of the eighth lens L8
- -1.51 ⁇ f8/f ⁇ -0.43 the focal length of the eighth lens L8
- the system has better imaging quality and lower sensitivity.
- -0.94 ⁇ f8/f ⁇ -0.53 is satisfied.
- the curvature radius R15 of the object side surface of the eighth lens L8 and the curvature radius R16 of the image side surface of the eighth lens L8 satisfy the following relationship: -0.94 ⁇ (R15+R16)/(R15-R16) ⁇ -0.19, the eighth lens is specified
- the shape of the lens L8 is within the range of conditions, with the development of ultra-thin and wide-angle, it is beneficial to correct the off-axis angle of view aberration and other problems.
- it satisfies -0.59 ⁇ (R15+R16)/(R15-R16) ⁇ -0.24.
- the on-axis thickness of the eighth lens L8 is d15, which satisfies the following relationship: 0.04 ⁇ d15/TTL ⁇ 0.22, which is beneficial to realize ultra-thinness.
- 0.06 ⁇ d15/TTL ⁇ 0.17 is satisfied.
- the image height of the overall imaging optical lens 10 is IH, which satisfies the following conditional formula: TTL/IH ⁇ 1.40, thereby facilitating the realization of ultra-thinness.
- the aperture F number Fno of the imaging optical lens 10 is less than or equal to 2.0. Large aperture, good imaging performance.
- the imaging optical lens 10 can have good optical performance, and at the same time, it can meet the requirements of large aperture, wide-angle, and ultra-thinness. Design requirements; According to the characteristics of the optical lens 10, the optical lens 10 is particularly suitable for mobile phone camera lens components and WEB camera lenses composed of high-pixel CCD, CMOS and other imaging elements.
- the imaging optical lens 10 of the present invention will be described below with an example.
- the symbols described in each example are as follows.
- the unit of focal length, distance on axis, radius of curvature, thickness on axis, position of inflection point, and position of stagnation point is mm.
- TTL total optical length (the on-axis distance from the object side of the first lens L1 to the imaging surface), the unit is mm;
- the object side and/or the image side of the lens can also be provided with inflection points and/or stagnation points to meet high-quality imaging requirements.
- inflection points and/or stagnation points for specific implementations, refer to the following.
- Table 1 and Table 2 show design data of the imaging optical lens 10 according to the first embodiment of the present invention.
- R The radius of curvature of the optical surface, and the radius of curvature of the center of the lens
- R1 the radius of curvature of the object side surface of the first lens L1;
- R2 the radius of curvature of the image side surface of the first lens L1;
- R3 the radius of curvature of the object side surface of the second lens L2;
- R4 the radius of curvature of the image side surface of the second lens L2;
- R5 the radius of curvature of the object side surface of the third lens L3;
- R6 the radius of curvature of the image side surface of the third lens L3;
- R7 the radius of curvature of the object side of the fourth lens L4;
- R8 the radius of curvature of the image side surface of the fourth lens L4;
- R9 the radius of curvature of the object side surface of the fifth lens L5;
- R10 the radius of curvature of the image side surface of the fifth lens L5;
- R11 the radius of curvature of the object side surface of the sixth lens L6;
- R12 the radius of curvature of the image side surface of the sixth lens L6;
- R13 the radius of curvature of the object side surface of the seventh lens L7;
- R14 the radius of curvature of the image side surface of the seventh lens L7;
- R15 the radius of curvature of the image side surface of the eighth lens L8;
- R16 the radius of curvature of the image side surface of the eighth lens L8;
- R17 the radius of curvature of the object side of the optical filter GF
- R18 the radius of curvature of the image side surface of the optical filter GF
- d0 the on-axis distance from the aperture S1 to the object side of the first lens L1;
- d2 the on-axis distance from the image side surface of the first lens L1 to the object side surface of the second lens L2;
- d4 the on-axis distance from the image side surface of the second lens L2 to the object side surface of the third lens L3;
- d6 the on-axis distance from the image side surface of the third lens L3 to the object side surface of the fourth lens L4;
- d10 the on-axis distance from the image side surface of the fifth lens L5 to the object side surface of the sixth lens L6;
- d11 the on-axis thickness of the sixth lens L6;
- d12 the on-axis distance from the image side surface of the sixth lens L6 to the object side surface of the seventh lens L7;
- d14 the on-axis distance from the image side surface of the seventh lens L7 to the object side surface of the eighth lens L8;
- d16 the on-axis distance from the image side surface of the eighth lens L8 to the object side surface of the optical filter GF;
- d17 the axial thickness of the optical filter GF
- nd refractive index of d-line
- nd1 the refractive index of the d-line of the first lens L1;
- nd2 the refractive index of the d-line of the second lens L2;
- nd3 the refractive index of the d-line of the third lens L3;
- nd4 the refractive index of the d-line of the fourth lens L4;
- nd5 the refractive index of the d-line of the fifth lens L5;
- nd6 the refractive index of the d-line of the sixth lens L6;
- nd7 the refractive index of the d-line of the seventh lens L7;
- nd7 the refractive index of the d-line of the eighth lens L8;
- ndg the refractive index of the d-line of the optical filter GF
- vg Abbe number of optical filter GF.
- Table 2 shows the aspheric surface data of each lens in the imaging optical lens 10 according to the first embodiment of the present invention.
- k is the conic coefficient
- A4, A6, A8, A10, A12, A14, A16, A18, A20 are aspherical coefficients.
- the aspheric surface of each lens surface uses the aspheric surface shown in the above formula (1).
- the present invention is not limited to the aspheric polynomial form represented by the formula (1).
- Table 3 and Table 4 show the design data of the inflection point and stagnation point of each lens in the imaging optical lens 10 of the first embodiment of the present invention.
- P1R1 and P1R2 represent the object side and image side of the first lens L1 respectively
- P2R1 and P2R2 represent the object side and image side of the second lens L2 respectively
- P3R1 and P3R2 represent the object side and image side of the third lens L3 respectively.
- P4R1, P4R2 represent the object side and image side of the fourth lens L4
- P5R1, P5R2 represent the object side and image side of the fifth lens L5
- P6R1, P6R2 represent the object side and image side of the sixth lens L6
- P7R1 P7R2 represents the object side and image side of the seventh lens L7, respectively
- P8R1 and P8R2 represent the object side and the image side of the eighth lens L8, respectively.
- the corresponding data in the “reflection point position” column is the vertical distance from the reflex point set on the surface of each lens to the optical axis of the imaging optical lens 10.
- the data corresponding to the “stationary point position” column is the vertical distance from the stationary point set on the surface of each lens to the optical axis of the imaging optical lens 10.
- P5R2 2 1.285 2.535 P6R1 1 2.165 To P6R2 1 2.155 To P7R1 1 2.295 To P7R2 1 1.975 To P8R1 0 To To P8R2 1 1.865 To
- FIG. 2 and 3 respectively show schematic diagrams of axial aberration and chromatic aberration of magnification after light having wavelengths of 656 nm, 587 nm, 546 nm, 486 nm, and 450 nm pass through the imaging optical lens 10 of the first embodiment.
- Fig. 4 shows a schematic diagram of field curvature and distortion of light with a wavelength of 546 nm after passing through the imaging optical lens 10 of the first embodiment.
- the field curvature S in Fig. 4 is the field curvature in the sagittal direction, and T is the field curvature in the meridional direction. song.
- Table 13 shows the values corresponding to the various numerical values in each of Examples 1, 2, and 3 and the parameters specified in the conditional expressions.
- the first embodiment satisfies various conditional expressions.
- the entrance pupil diameter of the imaging optical lens is 3.973mm
- the full-field image height is 8.00mm
- the diagonal field angle is 90.60°
- wide-angle wide-angle
- ultra-thin and its axis and axis
- the external chromatic aberration is fully corrected and has excellent optical characteristics.
- the second embodiment is basically the same as the first embodiment, and the meaning of the symbols is the same as that of the first embodiment, and only the differences are listed below.
- Table 5 and Table 6 show design data of the imaging optical lens 20 according to the second embodiment of the present invention.
- Table 6 shows aspheric surface data of each lens in the imaging optical lens 20 according to the second embodiment of the present invention.
- Table 7 and Table 8 show the design data of the inflection point and stagnation point of each lens in the imaging optical lens 20 according to the second embodiment of the present invention.
- FIG. 6 and 7 respectively show schematic diagrams of axial aberration and chromatic aberration of magnification after light with wavelengths of 656 nm, 587 nm, 546 nm, 486 nm and 450 nm passes through the imaging optical lens 20 of the second embodiment.
- FIG. 8 shows a schematic diagram of field curvature and distortion of light with a wavelength of 546 nm after passing through the imaging optical lens 20 of the second embodiment.
- the second embodiment satisfies various conditional expressions.
- the entrance pupil diameter of the imaging optical lens is 3.795mm
- the full-field image height is 7.30mm
- the diagonal field angle is 87.60°
- wide-angle ultra-thin
- its axis and axis The external chromatic aberration is fully corrected and has excellent optical characteristics.
- the third embodiment is basically the same as the first embodiment, and the meaning of the symbols is the same as that of the first embodiment, and only the differences are listed below.
- Table 9 and Table 10 show design data of the imaging optical lens 30 according to the third embodiment of the present invention.
- Table 10 shows the aspheric surface data of each lens in the imaging optical lens 30 of the third embodiment of the present invention.
- Table 11 and Table 12 show the inflection point and stagnation point design data of each lens in the imaging optical lens 30 of the third embodiment of the present invention.
- FIG. 10 and 11 respectively show schematic diagrams of axial aberration and chromatic aberration of magnification after light having wavelengths of 656 nm, 587 nm, 546 nm, 486 nm, and 450 nm pass through the imaging optical lens 30 of the third embodiment.
- FIG. 12 shows a schematic diagram of field curvature and distortion of light with a wavelength of 546 nm after passing through the imaging optical lens 30 of the third embodiment.
- the entrance pupil diameter of the imaging optical lens is 4.033mm
- the full-field image height is 6.80mm
- the diagonal field angle is 80.00°
- wide-angle wide-angle
- ultra-thin and its axis and axis
- the external chromatic aberration is fully corrected and has excellent optical characteristics.
- Example 1 Example 2
- Example 3 f1/f 3.52 6.49 5.11 f2 -268.38 -469.71 -1742.25 n7 1.57 1.57 1.67 f 7.946 7.400 7.864 f1 27.980 48.047 40.199 f3 8.031 7.860 7.911 f4 -28.821 -27.009 -27.547 f5 -112.474 -105.217 -90.739 f6 -20.039 -22.848 -23.231 f7 7.617 6.797 7.694 f8 -5.738 -5.574 -5.029 f12 30.447 52.409 40.448 Fno 2.00 1.95 1.95
- Fno is the aperture F number of the imaging optical lens.
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Abstract
A camera optical lens (10), relating to the field of optical lenses. The camera optical lens (10) sequentially comprises, from an object side to an image side: a first lens (L1), a second lens (L2), a third lens (L3), a fourth lens (L4), a fifth lens (L5), a sixth lens (L6), a seventh lens (L7), and an eighth lens (L8). The focal length of the camera optical lens (10) is f, the focal length of the first lens (L1) is f1, the focal length of the second lens (L2) is f2, the refractive index of the seventh lens (L7) is n7, and the following relations are satisfied: 3.50≤f1/f≤6.50, f2≤0, and 1.55≤n7≤1.70. The camera optical lens (10) has good optical properties such as a large aperture, a wide angle, ultra thinness.
Description
本发明涉及光学镜头领域,特别涉及一种适用于智能手机、数码相机等手提终端设备,以及监视器、PC镜头等摄像装置的摄像光学镜头。The present invention relates to the field of optical lenses, in particular to an imaging optical lens suitable for portable terminal equipment such as smart phones and digital cameras, as well as imaging devices such as monitors and PC lenses.
近年来,随着智能手机的兴起,小型化摄影镜头的需求日渐提高,而一般摄影镜头的感光器件不外乎是感光耦合器件(Charge Coupled Device,CCD)或互补性氧化金属半导体器件(Complementary Metal-OxideSemicondctor Sensor,CMOS Sensor)两种,且由于半导体制造工艺技术的精进,使得感光器件的像素尺寸缩小,再加上现今电子产品以功能佳且轻薄短小的外型为发展趋势,因此,具备良好成像品质的小型化摄像镜头俨然成为目前市场上的主流。In recent years, with the rise of smart phones, the demand for miniaturized photographic lenses has increased. The photosensitive devices of general photographic lenses are nothing more than photosensitive coupled devices (CCD) or complementary metal oxide semiconductor devices (Complementary Metal). -OxideSemicondctor Sensor, CMOS Sensor), and due to the advancement of semiconductor manufacturing technology, the pixel size of photosensitive devices has been reduced, and nowadays electronic products are developed with good functions, light, thin and short appearance, so they have good The miniaturized camera lens with image quality has become the mainstream in the current market.
为获得较佳的成像品质,传统搭载于手机相机的镜头多采用三片式、四片式甚至是五片式、六片式透镜结构。然而,随着技术的发展以及用户多样化需求的增多,在感光器件的像素面积不断缩小,且系统对成像品质的要求不断提高的情况下,八片式透镜结构逐渐出现在镜头设计当中,常见的八片式透镜虽然已经具有较好的光学性能,但是其光焦度、透镜间距和透镜形状设置仍然具有一定的不合理性,导致透镜结构在具有良好光学性能的同时,无法满足大光圈、超薄化、广角化的设计要求。In order to obtain better imaging quality, the lenses traditionally mounted on mobile phone cameras often adopt three-element, four-element, or even five-element or six-element lens structures. However, with the development of technology and the increase in the diversified needs of users, the pixel area of the photosensitive device continues to shrink, and the system's requirements for image quality continue to increase, the eight-element lens structure gradually appears in the lens design, and it is common Although the eight-element lens has good optical performance, its optical power, lens spacing and lens shape settings are still unreasonable, resulting in the lens structure having good optical performance, but cannot meet the requirements of large aperture, Design requirements for ultra-thin and wide-angle.
发明内容Summary of the invention
针对上述问题,本发明的目的在于提供一种摄像光学镜头,能在获得高成像性能的同时,满足超薄化和广角化的要求。In view of the above-mentioned problems, the object of the present invention is to provide an imaging optical lens that can meet the requirements of ultra-thin and wide-angle while obtaining high imaging performance.
为解决上述技术问题,本发明的实施方式提供了一种摄像光学镜头,所述摄像光学镜头,自物侧至像侧依序包含:第一透镜,第二透镜,第三透镜,第四透镜,第五透镜,第六透镜,第七透镜,以及第八透镜;所述摄像光学镜头的焦距为f,所述第一透镜的焦距为f1,所述第二透镜的焦距为f2,所述第七透镜的折射率为n7,且满足下列关系式:3.50≤f1/f≤6.50;f2≤0;1.55≤n7≤1.70。In order to solve the above technical problems, the embodiments of the present invention provide an imaging optical lens. The imaging optical lens includes a first lens, a second lens, a third lens, and a fourth lens in order from the object side to the image side. , The fifth lens, the sixth lens, the seventh lens, and the eighth lens; the focal length of the imaging optical lens is f, the focal length of the first lens is f1, the focal length of the second lens is f2, the The refractive index of the seventh lens is n7 and satisfies the following relationship: 3.50≤f1/f≤6.50; f2≤0; 1.55≤n7≤1.70.
优选的,所述第三透镜的轴上厚度为d5,所述第三透镜的像侧面到第四透镜的物侧面的轴上距离为d6,且满足下列关系式:1.50≤ d5/d6≤4.00。Preferably, the on-axis thickness of the third lens is d5, and the on-axis distance from the image side surface of the third lens to the object side surface of the fourth lens is d6, and the following relationship is satisfied: 1.50≤d5/d6≤4.00 .
优选的,所述第五透镜的焦距为f5,所述第六透镜的焦距为f6,且满足下列关系式:3.50≤f5/f6≤6.00。Preferably, the focal length of the fifth lens is f5, and the focal length of the sixth lens is f6, and the following relationship is satisfied: 3.50≤f5/f6≤6.00.
优选的,第一透镜物侧面的曲率半径为R1,所述第一透镜像侧面的曲率半径为R2,所述第一透镜的轴上厚度为d1,所述摄像光学镜头的光学总长为TTL,且满足下列关系式:-36.07≤(R1+R2)/(R1-R2)≤-8.17;0.02≤d1/TTL≤0.10。Preferably, the radius of curvature of the object side surface of the first lens is R1, the radius of curvature of the image side surface of the first lens is R2, the axial thickness of the first lens is d1, and the total optical length of the imaging optical lens is TTL, And satisfy the following relational expression: -36.07≤(R1+R2)/(R1-R2)≤-8.17; 0.02≤d1/TTL≤0.10.
优选的,所述第二透镜物侧面的曲率半径为R3,所述第二透镜像侧面的曲率半径为R4,所述第二透镜的轴上厚度为d3,所述摄像光学镜头的光学总长为TTL,且满足下列关系式:-443.09≤f2/f≤-22.52;18.63≤(R3+R4)/(R3-R4)≤141.75;0.01≤d3/TTL≤0.04。Preferably, the radius of curvature of the object side surface of the second lens is R3, the radius of curvature of the image side surface of the second lens is R4, the axial thickness of the second lens is d3, and the total optical length of the imaging optical lens is TTL, and satisfies the following relationship: -443.09≤f2/f≤-22.52; 18.63≤(R3+R4)/(R3-R4)≤141.75; 0.01≤d3/TTL≤0.04.
优选的,所述第三透镜的焦距为f3,所述第三透镜物侧面的曲率半径为R5,所述第三透镜像侧面的曲率半径为R6,所述第三透镜的轴上厚度为d5,所述摄像光学镜头的光学总长为TTL,且满足下列关系式:0.50≤f3/f≤1.59;-0.41≤(R5+R6)/(R5-R6)≤-0.12;0.05≤d5/TTL≤0.15。Preferably, the focal length of the third lens is f3, the radius of curvature of the object side of the third lens is R5, the radius of curvature of the image side of the third lens is R6, and the on-axis thickness of the third lens is d5 , The total optical length of the camera optical lens is TTL, and satisfies the following relationship: 0.50≤f3/f≤1.59; -0.41≤(R5+R6)/(R5-R6)≤-0.12; 0.05≤d5/TTL≤ 0.15.
优选的,所述第四透镜的焦距为f4,所述第四透镜物侧面的曲率半径为R7,所述第四透镜像侧面的曲率半径为R8,所述第四透镜的轴上厚度为d7,所述摄像光学镜头的光学总长为TTL,且满足下列关系式:-7.30≤f4/f≤-2.34;1.62≤(R7+R8)/(R7-R8)≤5.02;0.01≤d7/TTL≤0.05。Preferably, the focal length of the fourth lens is f4, the radius of curvature of the object side of the fourth lens is R7, the radius of curvature of the image side of the fourth lens is R8, and the on-axis thickness of the fourth lens is d7 , The total optical length of the camera optical lens is TTL, and satisfies the following relationship: -7.30≤f4/f≤-2.34; 1.62≤(R7+R8)/(R7-R8)≤5.02; 0.01≤d7/TTL≤ 0.05.
优选的,所述第五透镜的焦距为f5,所述第五透镜物侧面的曲率半径为R9,所述第五透镜像侧面的曲率半径为R10,所述第五透镜的轴上厚度为d9,所述摄像光学镜头的光学总长为TTL,且满足下列关系式:-28.44≤f5/f≤-7.69;1.86≤(R9+R10)/(R9-R10)≤6.84;0.02≤d9/TTL≤0.05。Preferably, the focal length of the fifth lens is f5, the radius of curvature of the object side of the fifth lens is R9, the radius of curvature of the image side of the fifth lens is R10, and the on-axis thickness of the fifth lens is d9 , The total optical length of the camera optical lens is TTL, and satisfies the following relationship: -28.44≤f5/f≤-7.69; 1.86≤(R9+R10)/(R9-R10)≤6.84; 0.02≤d9/TTL≤ 0.05.
优选的,所述第六透镜的焦距为f6,所述第六透镜物侧面的曲率半径为R11,所述第六透镜像侧面的曲率半径为R12,所述第六透镜的轴上厚度为d11,所述摄像光学镜头的光学总长为TTL,且满足下列关系式:-6.18≤f6/f≤-1.68;2.04≤(R11+R12)/(R11-R12)≤7.94;0.03≤d11/TTL≤0.08。Preferably, the focal length of the sixth lens is f6, the radius of curvature of the object side of the sixth lens is R11, the radius of curvature of the image side of the sixth lens is R12, and the on-axis thickness of the sixth lens is d11 , The total optical length of the camera optical lens is TTL, and satisfies the following relationship: -6.18≤f6/f≤-1.68; 2.04≤(R11+R12)/(R11-R12)≤7.94; 0.03≤d11/TTL≤ 0.08.
优选的,所述第七透镜的焦距为f7,所述第七透镜物侧面的曲率半径为R13,所述第七透镜像侧面的曲率半径为R14,所述第七透镜的轴上厚度为d13,所述摄像光学镜头的光学总长为TTL,且满足下列关系式:0.46≤f7/f≤1.47;-3.72≤(R13+R14)/(R13-R14)≤-0.82;0.04≤d13/TTL≤0.20。Preferably, the focal length of the seventh lens is f7, the radius of curvature of the object side of the seventh lens is R13, the radius of curvature of the image side of the seventh lens is R14, and the on-axis thickness of the seventh lens is d13 , The total optical length of the camera optical lens is TTL, and satisfies the following relationship: 0.46≤f7/f≤1.47; -3.72≤(R13+R14)/(R13-R14)≤-0.82; 0.04≤d13/TTL≤ 0.20.
优选的,所述第八透镜的焦距为f8,所述第八透镜物侧面的曲率半径为R15,所述第八透镜像侧面的曲率半径为R16,所述第八透镜的轴上厚度为d15,所述摄像光学镜头的光学总长为TTL,且满足下列关系式:-1.51≤f8/f≤-0.43;-0.94≤(R15+R16)/(R15-R16)≤-0.19;0.04≤d15/TTL≤0.22。Preferably, the focal length of the eighth lens is f8, the radius of curvature of the object side of the eighth lens is R15, the radius of curvature of the image side of the eighth lens is R16, and the on-axis thickness of the eighth lens is d15 , The total optical length of the camera optical lens is TTL, and satisfies the following relationship: -1.51≤f8/f≤-0.43; -0.94≤(R15+R16)/(R15-R16)≤-0.19; 0.04≤d15/ TTL≤0.22.
本发明的有益效果在于:根据本发明的摄像光学镜头具有良好光学性能,且具有大光圈、广角化、超薄化的特性,尤其适用于由高像素用的CCD、CMOS等摄像元件构成的手机摄像镜头组件和WEB摄像镜头。The beneficial effects of the present invention are: the imaging optical lens according to the present invention has good optical performance, and has the characteristics of large aperture, wide angle, and ultra-thinness, and is especially suitable for mobile phones composed of high-pixel CCD, CMOS and other imaging elements. Camera lens assembly and WEB camera lens.
为了更清楚地说明本发明实施例中的技术方案,下面将对实施例描述中所需要使用的附图作简单地介绍,显而易见地,下面描述中的附图仅仅是本发明的一些实施例,对于本领域普通技术人员来讲,在不付出创造性劳动的前提下,还可以根据这些附图获得其它的附图,其中:In order to explain the technical solutions in the embodiments of the present invention more clearly, the following will briefly introduce the drawings needed in the description of the embodiments. Obviously, the drawings in the following description are only some embodiments of the present invention. For those of ordinary skill in the art, without creative work, other drawings can be obtained based on these drawings, among which:
图1是本发明第一实施方式的摄像光学镜头的结构示意图;FIG. 1 is a schematic diagram of the structure of an imaging optical lens according to a first embodiment of the present invention;
图2是图1所示摄像光学镜头的轴向像差示意图;FIG. 2 is a schematic diagram of axial aberration of the imaging optical lens shown in FIG. 1;
图3是图1所示摄像光学镜头的倍率色差示意图;3 is a schematic diagram of the chromatic aberration of magnification of the imaging optical lens shown in FIG. 1;
图4是图1所示摄像光学镜头的场曲及畸变示意图;4 is a schematic diagram of field curvature and distortion of the imaging optical lens shown in FIG. 1;
图5是本发明第二实施方式的摄像光学镜头的结构示意图;5 is a schematic diagram of the structure of an imaging optical lens according to a second embodiment of the present invention;
图6是图5所示摄像光学镜头的轴向像差示意图;FIG. 6 is a schematic diagram of axial aberration of the imaging optical lens shown in FIG. 5;
图7是图5所示摄像光学镜头的倍率色差示意图;FIG. 7 is a schematic diagram of the chromatic aberration of magnification of the imaging optical lens shown in FIG. 5;
图8是图5所示摄像光学镜头的场曲及畸变示意图;FIG. 8 is a schematic diagram of field curvature and distortion of the imaging optical lens shown in FIG. 5;
图9是本发明第三实施方式的摄像光学镜头的结构示意图;9 is a schematic diagram of the structure of an imaging optical lens according to a third embodiment of the present invention;
图10是图9所示摄像光学镜头的轴向像差示意图;10 is a schematic diagram of axial aberration of the imaging optical lens shown in FIG. 9;
图11是图9所示摄像光学镜头的倍率色差示意图;11 is a schematic diagram of the chromatic aberration of magnification of the imaging optical lens shown in FIG. 9;
图12是图9所示摄像光学镜头的场曲及畸变示意图。FIG. 12 is a schematic diagram of field curvature and distortion of the imaging optical lens shown in FIG. 9.
为使本发明的目的、技术方案和优点更加清楚,下面将结合附图对本发明的各实施方式进行详细的阐述。然而,本领域的普通技术人 员可以理解,在本发明各实施方式中,为了使读者更好地理解本发明而提出了许多技术细节。但是,即使没有这些技术细节和基于以下各实施方式的种种变化和修改,也可以实现本发明所要求保护的技术方案。In order to make the objectives, technical solutions and advantages of the present invention clearer, the various embodiments of the present invention will be described in detail below with reference to the accompanying drawings. However, a person of ordinary skill in the art can understand that, in each embodiment of the present invention, many technical details are proposed for the reader to better understand the present invention. However, even without these technical details and various changes and modifications based on the following embodiments, the technical solution claimed by the present invention can be realized.
(第一实施方式)(First embodiment)
参考附图,本发明提供了一种摄像光学镜头10。图1所示为本发明第一实施方式的摄像光学镜头10,该摄像光学镜头10包括八个透镜。具体的,所述摄像光学镜头10,由物侧至像侧依序包括:光圈S1、第一透镜L1、第二透镜L2、第三透镜L3、第四透镜L4、第五透镜L5、第六透镜L6、第七透镜L7以及第八透镜L8。第八透镜L8和像面Si之间可设置有光学过滤片(filter)GF等光学元件。With reference to the drawings, the present invention provides an imaging optical lens 10. FIG. 1 shows an imaging optical lens 10 according to a first embodiment of the present invention. The imaging optical lens 10 includes eight lenses. Specifically, the imaging optical lens 10 includes in order from the object side to the image side: an aperture S1, a first lens L1, a second lens L2, a third lens L3, a fourth lens L4, a fifth lens L5, and a sixth lens. Lens L6, seventh lens L7, and eighth lens L8. An optical element such as an optical filter GF may be provided between the eighth lens L8 and the image plane Si.
所述第一透镜具有正屈折力,所述第二透镜具有负屈折力,所述第三透镜具有正屈折力,所述第四透镜具有负屈折力,所述第五透镜具有负屈折力,所述第六透镜具有负屈折力,所述第七透镜具有正屈折力,所述第八透镜具有负屈折力。The first lens has positive refractive power, the second lens has negative refractive power, the third lens has positive refractive power, the fourth lens has negative refractive power, and the fifth lens has negative refractive power, The sixth lens element has a negative refractive power, the seventh lens element has a positive refractive power, and the eighth lens element has a negative refractive power.
定义整体摄像光学镜头10的焦距为f,所述第一透镜L1的焦距为f1,3.50≤f1/f≤6.50,可以有效地平衡系统的球差以及场曲量。The focal length of the overall imaging optical lens 10 is defined as f, and the focal length of the first lens L1 is f1, 3.50≤f1/f≤6.50, which can effectively balance the spherical aberration and field curvature of the system.
定义所述第二透镜L2的焦距为f2,f2≤0;通过光焦距的合理分配,使得系统具有较佳的成像品质和较低的敏感性。The focal length of the second lens L2 is defined as f2, f2≤0; through the reasonable allocation of the optical focal length, the system has better imaging quality and lower sensitivity.
定义所述第七透镜L7的折射率为n7,1.55≤n7≤1.70,规定了第七透镜的折射率,在此范围内更有利于向超薄化发展,同时利于修正像差。The refractive index of the seventh lens L7 is defined as n7, 1.55≤n7≤1.70, and the refractive index of the seventh lens is specified. In this range, it is more conducive to the development of ultra-thinness and at the same time conducive to correcting aberrations.
所述第三透镜L3的轴上厚度为d5,所述第三透镜L3的像侧面到第四透镜L4的物侧面的轴上距离为d6,满足1.50≤d5/d6≤4.00,规定了第三透镜厚度与第三第四透镜空气间隔的比值,在条件式范围内有助于压缩光学系统总长,实现超薄化效果。The on-axis thickness of the third lens L3 is d5, and the on-axis distance from the image side surface of the third lens L3 to the object side surface of the fourth lens L4 is d6, which satisfies 1.50≤d5/d6≤4.00, which stipulates the third The ratio of the thickness of the lens to the air gap between the third and the fourth lens helps to compress the total length of the optical system within the range of the conditional formula, and achieves an ultra-thinning effect.
所述第五透镜L5的焦距为f5,所述第六透镜L6的焦距为f6,且满足下列关系式:3.50≤f5/f6≤6.00。规定了第五第六透镜焦距的比值,通过光焦度的合理分配,使得系统具有较佳的成像品质和较低的敏感性。The focal length of the fifth lens L5 is f5, and the focal length of the sixth lens L6 is f6, and the following relationship is satisfied: 3.50≦f5/f6≦6.00. The ratio of the focal length of the fifth and sixth lenses is specified, and the system has better imaging quality and lower sensitivity through the reasonable distribution of optical power.
第一透镜L1物侧面的曲率半径R1,第一透镜L1像侧面的曲率半径R2,满足下列关系式:-36.07≤(R1+R2)/(R1-R2)≤-8.17,在条件式范围内,合理控制第一透镜的形状,使得第一透镜能够有效地校正系统球差。优选地,满足-22.54≤(R1+R2)/(R1-R2)≤-10.21。The curvature radius R1 of the object side surface of the first lens L1 and the curvature radius R2 of the image side surface of the first lens L1 satisfy the following relationship: -36.07≤(R1+R2)/(R1-R2)≤-8.17, within the range of the conditional expression , Reasonably control the shape of the first lens so that the first lens can effectively correct the spherical aberration of the system. Preferably, it satisfies -22.54≤(R1+R2)/(R1-R2)≤-10.21.
第一透镜L1的轴上厚度为d1,摄像光学镜头的光学总长为TTL,满足下列关系式:0.02≤d1/TTL≤0.10,在条件式范围内,有利于实现 超薄化。优选地,满足0.03≤d1/TTL≤0.08。The axial thickness of the first lens L1 is d1, and the total optical length of the imaging optical lens is TTL, which satisfies the following relationship: 0.02≤d1/TTL≤0.10. Within the range of the conditional formula, it is beneficial to realize ultra-thinness. Preferably, 0.03≤d1/TTL≤0.08 is satisfied.
定义整体摄像光学镜头10的焦距为f,第二透镜L2的焦距为f2,满足下列关系式:-443.09≤f2/f≤-22.52,通过将第二透镜L2的负光焦度控制在合理范围,有利于矫正光学系统的像差。优选地,满足-276.93≤f2/f≤-28.15。Define the focal length of the overall imaging optical lens 10 as f, and the focal length of the second lens L2 as f2, satisfying the following relationship: -443.09≤f2/f≤-22.52, by controlling the negative power of the second lens L2 in a reasonable range , It is helpful to correct the aberration of the optical system. Preferably, -276.93≤f2/f≤-28.15 is satisfied.
所述第二透镜L2物侧面的曲率半径为R3,所述第二透镜L2像侧面的曲率半径为R4,18.63≤(R3+R4)/(R3-R4)≤141.75,规定了第二透镜L2的形状,在范围内时,随着镜头向超薄广角化发展,有利于补正轴上色像差问题。优选地,满足29.81≤(R3+R4)/(R3-R4)≤113.40。The curvature radius of the object side surface of the second lens L2 is R3, and the curvature radius of the image side surface of the second lens L2 is R4, 18.63≤(R3+R4)/(R3-R4)≤141.75, which specifies the second lens L2 When the shape of the lens is within the range, as the lens develops towards ultra-thin and wide-angle, it is helpful to correct the problem of axial chromatic aberration. Preferably, it satisfies 29.81≤(R3+R4)/(R3-R4)≤113.40.
第二透镜L2的轴上厚度为d3,满足下列关系式:0.01≤d3/TTL≤0.04,有利于实现超薄化。优选地,满足0.02≤d3/TTL≤0.03。The on-axis thickness of the second lens L2 is d3, which satisfies the following relationship: 0.01≤d3/TTL≤0.04, which is beneficial to realize ultra-thinness. Preferably, 0.02≤d3/TTL≤0.03 is satisfied.
定义整体摄像光学镜头10的焦距为f,第三透镜L3的焦距为f3,满足下列关系式:0.50≤f3/f≤1.59,在条件式范围内,通过光焦度的合理分配,使得系统具有较佳的成像品质和较低的敏感性。优选地,满足0.80≤f3/f≤1.27。Define the focal length of the overall imaging optical lens 10 as f, and the focal length of the third lens L3 as f3, which satisfies the following relationship: 0.50≤f3/f≤1.59. Within the scope of the conditional formula, through the reasonable distribution of optical power, the system has Better imaging quality and lower sensitivity. Preferably, 0.80≤f3/f≤1.27 is satisfied.
第三透镜L3物侧面的曲率半径R5,第三透镜L3像侧面的曲率半径R6,满足下列关系式:-0.41≤(R5+R6)/(R5-R6)≤-0.12,规定了第三透镜的形状,在条件式规定范围内,可以缓和光线经过镜片的偏折程度,有效减小像差。优选地,满足-0.25≤(R5+R6)/(R5-R6)≤-0.15。The curvature radius R5 of the object side surface of the third lens L3 and the curvature radius R6 of the image side surface of the third lens L3 satisfy the following relationship: -0.41≤(R5+R6)/(R5-R6)≤-0.12, which specifies the third lens The shape of, within the range specified by the conditional formula, can ease the degree of deflection of light passing through the lens and effectively reduce aberrations. Preferably, -0.25≤(R5+R6)/(R5-R6)≤-0.15 is satisfied.
第三透镜L3的轴上厚度为d5,满足下列关系式:0.05≤d5/TTL≤0.15,有利于实现超薄化。优选地,满足0.07≤d5/TTL≤0.12。The on-axis thickness of the third lens L3 is d5, which satisfies the following relationship: 0.05≤d5/TTL≤0.15, which is beneficial to realize ultra-thinness. Preferably, 0.07≤d5/TTL≤0.12 is satisfied.
定义整体摄像光学镜头10的焦距为f,第四透镜L4的焦距为f4,满足下列关系式:-7.30≤f4/f≤-2.34,规定了第四透镜焦距与系统焦距的比值,在条件式范围内有助于提高光学系统性能。优选地,满足-4.56≤f4/f≤-2.92。Define the focal length of the overall imaging optical lens 10 as f, and the focal length of the fourth lens L4 as f4, which satisfies the following relationship: -7.30≤f4/f≤-2.34, which specifies the ratio of the focal length of the fourth lens to the focal length of the system. The range helps to improve the performance of the optical system. Preferably, -4.56≤f4/f≤-2.92 is satisfied.
第四透镜L4物侧面的曲率半径R7,第四透镜L4像侧面的曲率半径R8,满足下列关系式:1.62≤(R7+R8)/(R7-R8)≤5.02,规定的是第四透镜L4的形状,在范围内时,随着超薄广角化的发展,有利于补正轴外画角的像差等问题。优选地,满足2.59≤(R7+R8)/(R7-R8)≤4.01。The curvature radius R7 of the object side surface of the fourth lens L4 and the curvature radius R8 of the image side surface of the fourth lens L4 satisfy the following relationship: 1.62≤(R7+R8)/(R7-R8)≤5.02, which is the fourth lens L4 When the shape is within the range, with the development of ultra-thin and wide-angle, it is helpful to correct the aberration of the off-axis angle of view. Preferably, 2.59≤(R7+R8)/(R7-R8)≤4.01 is satisfied.
第四透镜L4的轴上厚度为d7,满足下列关系式:0.01≤d7/TTL≤0.05,有利于实现超薄化。优选地,满足0.02≤d7/TTL≤0.04。The on-axis thickness of the fourth lens L4 is d7, which satisfies the following relationship: 0.01≤d7/TTL≤0.05, which is beneficial to realize ultra-thinness. Preferably, 0.02≤d7/TTL≤0.04 is satisfied.
定义整体摄像光学镜头10的焦距为f,第五透镜L5的焦距为f5,满足下列关系式:-28.44≤f5/f≤-7.69,对第五透镜L5的限定可有效的使得摄像镜头10的光线角度平缓,降低公差敏感度。优选地,满足-17.77≤f5/f≤-9.62。Define the focal length of the overall imaging optical lens 10 as f, and the focal length of the fifth lens L5 as f5, which satisfies the following relationship: -28.44≤f5/f≤-7.69. The limitation on the fifth lens L5 can effectively make the imaging lens 10 The light angle is gentle, reducing tolerance sensitivity. Preferably, -17.77≤f5/f≤-9.62 is satisfied.
第五透镜L5物侧面的曲率半径R9,第五透镜L5像侧面的曲率半径R10,满足下列关系式:1.86≤(R9+R10)/(R9-R10)≤6.84,规定的是第五透镜L5的形状,在条件范围内时,随着超薄广角化发展,有利于补正轴外画角的像差等问题。优选地,满足2.98≤(R9+R10)/(R9-R10)≤5.47。The curvature radius R9 of the object side surface of the fifth lens L5 and the curvature radius R10 of the image side surface of the fifth lens L5 satisfy the following relationship: 1.86≤(R9+R10)/(R9-R10)≤6.84, and the fifth lens L5 is specified When the shape is within the range of conditions, with the development of ultra-thin and wide-angle, it is helpful to correct the aberration of the off-axis angle of view. Preferably, 2.98≤(R9+R10)/(R9-R10)≤5.47 is satisfied.
第五透镜L5的轴上厚度为d9,满足下列关系式:0.02≤d9/TTL≤0.05,有利于实现超薄化。优选地,满足0.02≤d9/TTL≤0.04。The on-axis thickness of the fifth lens L5 is d9, which satisfies the following relationship: 0.02≤d9/TTL≤0.05, which is beneficial to realize ultra-thinness. Preferably, 0.02≤d9/TTL≤0.04 is satisfied.
定义整体摄像光学镜头10的焦距为f,第六透镜L6的焦距为f6,满足下列关系式:-6.18≤f6/f≤-1.68,通过光焦度的合理分配,使得系统具有较佳的成像品质和较低的敏感性。优选地,满足-3.86≤f6/f≤-2.10。Define the focal length of the overall imaging optical lens 10 as f, and the focal length of the sixth lens L6 as f6, which satisfies the following relationship: -6.18≤f6/f≤-1.68. Through the reasonable distribution of optical power, the system has better imaging Quality and low sensitivity. Preferably, it satisfies -3.86≤f6/f≤-2.10.
第六透镜L6物侧面的曲率半径为R11,第六透镜L6像侧面的曲率半径为R12,满足下列关系式:2.04≤(R11+R12)/(R11-R12)≤7.94,规定了第六透镜L6的形状,在范围内时,随着超薄广角化发展,有利于补正轴外画角的像差等问题。优选地,满足3.27≤(R11+R12)/(R11-R12)≤6.35。The curvature radius of the sixth lens L6 is R11, and the curvature radius of the sixth lens L6 is R12, which satisfies the following relationship: 2.04≤(R11+R12)/(R11-R12)≤7.94, which specifies the sixth lens When the shape of L6 is within the range, with the development of ultra-thin and wide-angle, it is helpful to correct the aberration of off-axis angle of view. Preferably, 3.27≤(R11+R12)/(R11-R12)≤6.35 is satisfied.
第六透镜L6的轴上厚度为d11,满足下列关系式:0.03≤d11/TTL≤0.08,有利于实现超薄化。优选地,满足0.04≤d11/TTL≤0.06。The on-axis thickness of the sixth lens L6 is d11, which satisfies the following relationship: 0.03≤d11/TTL≤0.08, which is beneficial to realize ultra-thinness. Preferably, 0.04≤d11/TTL≤0.06 is satisfied.
定义整体摄像光学镜头10的焦距为f,第七透镜L7的焦距为f7,满足下列关系式:0.46≤f7/f≤1.47,在条件式范围内,通过光焦度的合理分配,使得系统具有较佳的成像品质和较低的敏感性。优选地,满足0.73≤f7/f≤1.17。Define the focal length of the overall imaging optical lens 10 as f, and the focal length of the seventh lens L7 as f7, which satisfies the following relationship: 0.46≤f7/f≤1.47. Within the scope of the conditional formula, through the reasonable distribution of optical power, the system has Better imaging quality and lower sensitivity. Preferably, 0.73≤f7/f≤1.17 is satisfied.
所述第七透镜L7物侧面的曲率半径为R13,所述第七透镜L7像侧面的曲率半径为R14,-3.72≤(R13+R14)/(R13-R14)≤-0.82,规定的是第七透镜L7的形状,在条件范围内时,随着超薄广角化发展,有利于补正轴外画角的像差等问题。优选地,满足-2.33≤(R13+R14)/(R13-R14)≤-1.02。The curvature radius of the object side surface of the seventh lens L7 is R13, the curvature radius of the image side surface of the seventh lens L7 is R14, -3.72≤(R13+R14)/(R13-R14)≤-0.82. When the shape of the seven lens L7 is within the range of conditions, with the development of ultra-thin and wide-angle, it is beneficial to correct the aberration of the off-axis angle of view. Preferably, it satisfies -2.33≤(R13+R14)/(R13-R14)≤-1.02.
第七透镜L7的轴上厚度为d13,满足下列关系式:0.04≤d13/TTL≤0.20,有利于实现超薄化。优选地,满足0.07≤d13/TTL≤0.16。The on-axis thickness of the seventh lens L7 is d13, which satisfies the following relationship: 0.04≤d13/TTL≤0.20, which is beneficial to realize ultra-thinness. Preferably, 0.07≤d13/TTL≤0.16 is satisfied.
定义整体摄像光学镜头10的焦距为f,第八透镜L8的焦距为f8,满足下列关系式:-1.51≤f8/f≤-0.43,在条件式范围内,通过光焦度的合理分配,使得系统具有较佳的成像品质和较低的敏感性。优选地,满足-0.94≤f8/f≤-0.53。Define the focal length of the overall imaging optical lens 10 as f, and the focal length of the eighth lens L8 as f8, which satisfies the following relationship: -1.51≤f8/f≤-0.43. Within the scope of the conditional expression, through reasonable distribution of optical power, The system has better imaging quality and lower sensitivity. Preferably, -0.94≤f8/f≤-0.53 is satisfied.
第八透镜L8物侧面的曲率半径R15,第八透镜L8像侧面的曲率半径R16,满足下列关系式:-0.94≤(R15+R16)/(R15-R16)≤-0.19,规定的是第八透镜L8的形状,在条件范围内时,随着超薄广角化发展, 有利于补正轴外画角的像差等问题。优选地,满足-0.59≤(R15+R16)/(R15-R16)≤-0.24。The curvature radius R15 of the object side surface of the eighth lens L8 and the curvature radius R16 of the image side surface of the eighth lens L8 satisfy the following relationship: -0.94≤(R15+R16)/(R15-R16)≤-0.19, the eighth lens is specified When the shape of the lens L8 is within the range of conditions, with the development of ultra-thin and wide-angle, it is beneficial to correct the off-axis angle of view aberration and other problems. Preferably, it satisfies -0.59≤(R15+R16)/(R15-R16)≤-0.24.
第八透镜L8的轴上厚度为d15,满足下列关系式:0.04≤d15/TTL≤0.22,有利于实现超薄化。优选地,满足0.06≤d15/TTL≤0.17。The on-axis thickness of the eighth lens L8 is d15, which satisfies the following relationship: 0.04≤d15/TTL≤0.22, which is beneficial to realize ultra-thinness. Preferably, 0.06≤d15/TTL≤0.17 is satisfied.
在本实施方式中,整体摄像光学镜头10的像高为IH,满足下列条件式:TTL/IH≤1.40,从而有利于实现超薄化。In this embodiment, the image height of the overall imaging optical lens 10 is IH, which satisfies the following conditional formula: TTL/IH≤1.40, thereby facilitating the realization of ultra-thinness.
本实施方式中,摄像光学镜头10的光圈F数Fno小于或等于2.0。大光圈,成像性能好。In this embodiment, the aperture F number Fno of the imaging optical lens 10 is less than or equal to 2.0. Large aperture, good imaging performance.
当本发明所述摄像光学镜头10的焦距、各透镜的焦距和曲率半径满足上述关系式时,可以使摄像光学镜头10具有良好光学性能,同时能够满足了大光圈、广角化、超薄化的设计要求;根据该光学镜头10的特性,该光学镜头10尤其适用于由高像素用的CCD、CMOS等摄像元件构成的手机摄像镜头组件和WEB摄像镜头。When the focal length of the imaging optical lens 10, the focal length of each lens, and the radius of curvature of the present invention satisfy the above-mentioned relationship, the imaging optical lens 10 can have good optical performance, and at the same time, it can meet the requirements of large aperture, wide-angle, and ultra-thinness. Design requirements; According to the characteristics of the optical lens 10, the optical lens 10 is particularly suitable for mobile phone camera lens components and WEB camera lenses composed of high-pixel CCD, CMOS and other imaging elements.
下面将用实例进行说明本发明的摄像光学镜头10。各实例中所记载的符号如下所示。焦距、轴上距离、曲率半径、轴上厚度、反曲点位置、驻点位置的单位为mm。The imaging optical lens 10 of the present invention will be described below with an example. The symbols described in each example are as follows. The unit of focal length, distance on axis, radius of curvature, thickness on axis, position of inflection point, and position of stagnation point is mm.
TTL:光学总长(第一透镜L1的物侧面到成像面的轴上距离),单位为mm;TTL: total optical length (the on-axis distance from the object side of the first lens L1 to the imaging surface), the unit is mm;
优选的,所述透镜的物侧面和/或像侧面上还可以设置有反曲点和/或驻点,以满足高品质的成像需求,具体的可实施方案,参下所述。Preferably, the object side and/or the image side of the lens can also be provided with inflection points and/or stagnation points to meet high-quality imaging requirements. For specific implementations, refer to the following.
表1、表2示出本发明第一实施方式的摄像光学镜头10的设计数据。Table 1 and Table 2 show design data of the imaging optical lens 10 according to the first embodiment of the present invention.
【表1】【Table 1】
其中,各符号的含义如下。Among them, the meaning of each symbol is as follows.
S1:光圈;S1: aperture;
R:光学面的曲率半径、透镜时为中心曲率半径;R: The radius of curvature of the optical surface, and the radius of curvature of the center of the lens;
R1:第一透镜L1的物侧面的曲率半径;R1: the radius of curvature of the object side surface of the first lens L1;
R2:第一透镜L1的像侧面的曲率半径;R2: the radius of curvature of the image side surface of the first lens L1;
R3:第二透镜L2的物侧面的曲率半径;R3: the radius of curvature of the object side surface of the second lens L2;
R4:第二透镜L2的像侧面的曲率半径;R4: the radius of curvature of the image side surface of the second lens L2;
R5:第三透镜L3的物侧面的曲率半径;R5: the radius of curvature of the object side surface of the third lens L3;
R6:第三透镜L3的像侧面的曲率半径;R6: the radius of curvature of the image side surface of the third lens L3;
R7:第四透镜L4的物侧面的曲率半径;R7: the radius of curvature of the object side of the fourth lens L4;
R8:第四透镜L4的像侧面的曲率半径;R8: the radius of curvature of the image side surface of the fourth lens L4;
R9:第五透镜L5的物侧面的曲率半径;R9: the radius of curvature of the object side surface of the fifth lens L5;
R10:第五透镜L5的像侧面的曲率半径;R10: the radius of curvature of the image side surface of the fifth lens L5;
R11:第六透镜L6的物侧面的曲率半径;R11: the radius of curvature of the object side surface of the sixth lens L6;
R12:第六透镜L6的像侧面的曲率半径;R12: the radius of curvature of the image side surface of the sixth lens L6;
R13:第七透镜L7的物侧面的曲率半径;R13: the radius of curvature of the object side surface of the seventh lens L7;
R14:第七透镜L7的像侧面的曲率半径;R14: the radius of curvature of the image side surface of the seventh lens L7;
R15:第八透镜L8的像侧面的曲率半径;R15: the radius of curvature of the image side surface of the eighth lens L8;
R16:第八透镜L8的像侧面的曲率半径;R16: the radius of curvature of the image side surface of the eighth lens L8;
R17:光学过滤片GF的物侧面的曲率半径;R17: the radius of curvature of the object side of the optical filter GF;
R18:光学过滤片GF的像侧面的曲率半径;R18: the radius of curvature of the image side surface of the optical filter GF;
d:透镜的轴上厚度与透镜之间的轴上距离;d: the on-axis thickness of the lens and the on-axis distance between the lenses;
d0:光圈S1到第一透镜L1的物侧面的轴上距离;d0: the on-axis distance from the aperture S1 to the object side of the first lens L1;
d1:第一透镜L1的轴上厚度;d1: the on-axis thickness of the first lens L1;
d2:第一透镜L1的像侧面到第二透镜L2的物侧面的轴上距离;d2: the on-axis distance from the image side surface of the first lens L1 to the object side surface of the second lens L2;
d3:第二透镜L2的轴上厚度;d3: the on-axis thickness of the second lens L2;
d4:第二透镜L2的像侧面到第三透镜L3的物侧面的轴上距离;d4: the on-axis distance from the image side surface of the second lens L2 to the object side surface of the third lens L3;
d5:第三透镜L3的轴上厚度;d5: the on-axis thickness of the third lens L3;
d6:第三透镜L3的像侧面到第四透镜L4的物侧面的轴上距离;d6: the on-axis distance from the image side surface of the third lens L3 to the object side surface of the fourth lens L4;
d7:第四透镜L4的轴上厚度;d7: the on-axis thickness of the fourth lens L4;
d8:第四透镜L4的像侧面到第五透镜L5的物侧面的轴上距离;d8: the on-axis distance from the image side surface of the fourth lens L4 to the object side surface of the fifth lens L5;
d9:第五透镜L5的轴上厚度;d9: the on-axis thickness of the fifth lens L5;
d10:第五透镜L5的像侧面到第六透镜L6的物侧面的轴上距离;d10: the on-axis distance from the image side surface of the fifth lens L5 to the object side surface of the sixth lens L6;
d11:第六透镜L6的轴上厚度;d11: the on-axis thickness of the sixth lens L6;
d12:第六透镜L6的像侧面到第七透镜L7的物侧面的轴上距离;d12: the on-axis distance from the image side surface of the sixth lens L6 to the object side surface of the seventh lens L7;
d13:第七透镜L7的轴上厚度;d13: the on-axis thickness of the seventh lens L7;
d14:第七透镜L7的像侧面到第八透镜L8的物侧面的轴上距离;d14: the on-axis distance from the image side surface of the seventh lens L7 to the object side surface of the eighth lens L8;
d15:第八透镜L8的轴上厚度;d15: the on-axis thickness of the eighth lens L8;
d16:第八透镜L8的像侧面到光学过滤片GF的物侧面的轴上距离;d16: the on-axis distance from the image side surface of the eighth lens L8 to the object side surface of the optical filter GF;
d17:光学过滤片GF的轴上厚度;d17: the axial thickness of the optical filter GF;
d18:光学过滤片GF的像侧面到像面的轴上距离;d18: the on-axis distance from the image side surface of the optical filter GF to the image surface;
nd:d线的折射率;nd: refractive index of d-line;
nd1:第一透镜L1的d线的折射率;nd1: the refractive index of the d-line of the first lens L1;
nd2:第二透镜L2的d线的折射率;nd2: the refractive index of the d-line of the second lens L2;
nd3:第三透镜L3的d线的折射率;nd3: the refractive index of the d-line of the third lens L3;
nd4:第四透镜L4的d线的折射率;nd4: the refractive index of the d-line of the fourth lens L4;
nd5:第五透镜L5的d线的折射率;nd5: the refractive index of the d-line of the fifth lens L5;
nd6:第六透镜L6的d线的折射率;nd6: the refractive index of the d-line of the sixth lens L6;
nd7:第七透镜L7的d线的折射率;nd7: the refractive index of the d-line of the seventh lens L7;
nd7:第八透镜L8的d线的折射率;nd7: the refractive index of the d-line of the eighth lens L8;
ndg:光学过滤片GF的d线的折射率;ndg: the refractive index of the d-line of the optical filter GF;
vd:阿贝数;vd: Abbe number;
v1:第一透镜L1的阿贝数;v1: Abbe number of the first lens L1;
v2:第二透镜L2的阿贝数;v2: Abbe number of the second lens L2;
v3:第三透镜L3的阿贝数;v3: Abbe number of the third lens L3;
v4:第四透镜L4的阿贝数;v4: Abbe number of the fourth lens L4;
v5:第五透镜L5的阿贝数;v5: Abbe number of the fifth lens L5;
v6:第六透镜L6的阿贝数;v6: Abbe number of the sixth lens L6;
v7:第七透镜L7的阿贝数;v7: Abbe number of the seventh lens L7;
v8:第八透镜L8的阿贝数;v8: Abbe number of the eighth lens L8;
vg:光学过滤片GF的阿贝数。vg: Abbe number of optical filter GF.
表2示出本发明第一实施方式的摄像光学镜头10中各透镜的非球面数据。Table 2 shows the aspheric surface data of each lens in the imaging optical lens 10 according to the first embodiment of the present invention.
【表2】【Table 2】
其中,k是圆锥系数,A4、A6、A8、A10、A12、A14、A16、A18、A20是非球面系数。Among them, k is the conic coefficient, and A4, A6, A8, A10, A12, A14, A16, A18, A20 are aspherical coefficients.
IH:像高IH: Image height
y=(x
2/R)/[1+{1-(k+1)(x
2/R
2)}
1/2]+A4x
4+A6x
6+A8x
8+A10x
10+A12x
12+ A14x
14+A16x
16+A18x
18+A20x
20 (1)
y=(x 2 /R)/[1+{1-(k+1)(x 2 /R 2 )} 1/2 ]+A4x 4 +A6x 6 +A8x 8 +A10x 10 +A12x 12 + A14x 14 +A16x 16 +A18x 18 +A20x 20 (1)
为方便起见,各个透镜面的非球面使用上述公式(1)中所示的非球面。但是,本发明不限于该公式(1)表示的非球面多项式形式。For convenience, the aspheric surface of each lens surface uses the aspheric surface shown in the above formula (1). However, the present invention is not limited to the aspheric polynomial form represented by the formula (1).
表3、表4示出本发明第一实施方式的摄像光学镜头10中各透镜的反曲点以及驻点设计数据。其中,P1R1、P1R2分别代表第一透镜L1的物侧面和像侧面,P2R1、P2R2分别代表第二透镜L2的物侧面和像侧面,P3R1、P3R2分别代表第三透镜L3的物侧面和像侧面,P4R1、P4R2分别代表第四透镜L4的物侧面和像侧面,P5R1、P5R2分别代表第五透镜L5的物侧面和像侧面,P6R1、P6R2分别代表第六透镜L6的物侧面和像侧面,P7R1、P7R2分别代表第七透镜L7的物侧面和像侧面,P8R1、P8R2分别代表第八透镜L8的物侧面和像侧面。“反曲点位置”栏位对应数据为各透镜表面所设置的反曲点到摄像光学镜头10光轴的垂直距离。“驻点位置”栏位对应数据为各透镜表面所设置的驻点到摄像光学镜头10光轴的垂直距离。Table 3 and Table 4 show the design data of the inflection point and stagnation point of each lens in the imaging optical lens 10 of the first embodiment of the present invention. Among them, P1R1 and P1R2 represent the object side and image side of the first lens L1 respectively, P2R1 and P2R2 represent the object side and image side of the second lens L2 respectively, and P3R1 and P3R2 represent the object side and image side of the third lens L3 respectively. P4R1, P4R2 represent the object side and image side of the fourth lens L4, P5R1, P5R2 represent the object side and image side of the fifth lens L5, P6R1, P6R2 represent the object side and image side of the sixth lens L6, P7R1 P7R2 represents the object side and image side of the seventh lens L7, respectively, and P8R1 and P8R2 represent the object side and the image side of the eighth lens L8, respectively. The corresponding data in the “reflection point position” column is the vertical distance from the reflex point set on the surface of each lens to the optical axis of the imaging optical lens 10. The data corresponding to the “stationary point position” column is the vertical distance from the stationary point set on the surface of each lens to the optical axis of the imaging optical lens 10.
【表3】【table 3】
To | 反曲点个数Number of recurve points | 反曲点位置1Recurve point position 1 | 反曲点位置2Recurve point position 2 | 反曲点位置3Recurve point position 3 |
P1R1P1R1 | 11 | 1.6951.695 | To | To |
P1R2P1R2 | 11 | 1.5151.515 | To | To |
P2R1P2R1 | 11 | 0.9350.935 | To | To |
P2R2P2R2 | 11 | 1.6751.675 | To | To |
P3R1P3R1 | 22 | 1.8251.825 | 2.0552.055 | To |
P3R2 |
00 | To | To | To |
P4R1P4R1 | 11 | 1.9251.925 | To | To |
P4R2P4R2 | 11 | 2.0052.005 | To | To |
P5R1P5R1 | 11 | 0.6950.695 | To | To |
P5R2P5R2 | 22 | 0.8450.845 | 2.3552.355 | To |
P6R1P6R1 | 22 | 1.3951.395 | 3.0753.075 | To |
P6R2P6R2 | 33 | 0.9450.945 | 3.5353.535 | 3.5853.585 |
P7R1P7R1 | 22 | 1.2951.295 | 3.6953.695 | To |
P7R2P7R2 | 11 | 1.2351.235 | To | To |
P8R1P8R1 | 22 | 2.7452.745 | 4.5054.505 | To |
P8R2P8R2 | 11 | 1.0151.015 | To | To |
【表4】【Table 4】
To | 驻点个数Number of stationary points | 驻点位置1Stagnation position 1 | 驻点位置2Stagnation position 2 |
P1R1 |
00 | To | To |
P1R2 |
00 | To | To |
P2R1P2R1 | 11 | 1.9151.915 | To |
P2R2P2R2 | 11 | 1.9951.995 | To |
P3R1 |
00 | To | To |
P3R2 |
00 | To | To |
P4R1P4R1 | 11 | 2.2252.225 | To |
P4R2P4R2 | 11 | 2.3452.345 | To |
P5R1P5R1 | 11 | 1.0351.035 | To |
P5R2P5R2 | 22 | 1.2851.285 | 2.5352.535 |
P6R1P6R1 | 11 | 2.1652.165 | To |
P6R2P6R2 | 11 | 2.1552.155 | To |
P7R1P7R1 | 11 | 2.2952.295 | To |
P7R2P7R2 | 11 | 1.9751.975 | To |
P8R1 |
00 | To | To |
P8R2P8R2 | 11 | 1.8651.865 | To |
图2、图3分别示出了波长为656nm、587nm、546nm、486nm和450nm的光经过第一实施方式的摄像光学镜头10后的轴向像差以及倍率色差示意图。图4则示出了,波长为546nm的光经过第一实施方式的摄像光学镜头10后的场曲及畸变示意图,图4的场曲S是弧矢方向的场曲,T是子午方向的场曲。2 and 3 respectively show schematic diagrams of axial aberration and chromatic aberration of magnification after light having wavelengths of 656 nm, 587 nm, 546 nm, 486 nm, and 450 nm pass through the imaging optical lens 10 of the first embodiment. Fig. 4 shows a schematic diagram of field curvature and distortion of light with a wavelength of 546 nm after passing through the imaging optical lens 10 of the first embodiment. The field curvature S in Fig. 4 is the field curvature in the sagittal direction, and T is the field curvature in the meridional direction. song.
后出现的表13示出各实例1、2、3中各种数值与条件式中已规定的参数所对应的值。The following Table 13 shows the values corresponding to the various numerical values in each of Examples 1, 2, and 3 and the parameters specified in the conditional expressions.
如表13所示,第一实施方式满足各条件式。As shown in Table 13, the first embodiment satisfies various conditional expressions.
在本实施方式中,所述摄像光学镜头的入瞳直径为3.973mm,全视场像高为8.00mm,对角线方向的视场角为90.60°,广角、超薄,其轴上、轴外色像差充分补正,且具有优秀的光学特征。In this embodiment, the entrance pupil diameter of the imaging optical lens is 3.973mm, the full-field image height is 8.00mm, the diagonal field angle is 90.60°, wide-angle, ultra-thin, and its axis and axis The external chromatic aberration is fully corrected and has excellent optical characteristics.
(第二实施方式)(Second embodiment)
第二实施方式与第一实施方式基本相同,符号含义与第一实施方式相同,以下只列出不同点。The second embodiment is basically the same as the first embodiment, and the meaning of the symbols is the same as that of the first embodiment, and only the differences are listed below.
表5、表6示出本发明第二实施方式的摄像光学镜头20的设计数据。Table 5 and Table 6 show design data of the imaging optical lens 20 according to the second embodiment of the present invention.
【表5】【table 5】
表6示出本发明第二实施方式的摄像光学镜头20中各透镜的非球面数据。Table 6 shows aspheric surface data of each lens in the imaging optical lens 20 according to the second embodiment of the present invention.
【表6】【Table 6】
表7、表8示出本发明第二实施方式的摄像光学镜头20中各透镜的反曲点以及驻点设计数据。Table 7 and Table 8 show the design data of the inflection point and stagnation point of each lens in the imaging optical lens 20 according to the second embodiment of the present invention.
【表7】【Table 7】
To | 反曲点个数Number of recurve points | 反曲点位置1Recurve point position 1 | 反曲点位置2Recurve point position 2 | 反曲点位置3Recurve point position 3 |
P1R1P1R1 | 11 | 1.5751.575 | To | To |
P1R2P1R2 | 11 | 1.7051.705 | To | To |
P2R1P2R1 | 33 | 0.9750.975 | 1.6051.605 | 1.7851.785 |
P2R2P2R2 | 22 | 1.8051.805 | 1.9651.965 | To |
P3R1P3R1 | 22 | 1.7551.755 | 2.0052.005 | To |
P3R2 |
00 | To | To | To |
P4R1P4R1 | 11 | 2.2352.235 | To | To |
P4R2P4R2 | 11 | 2.1452.145 | To | To |
P5R1P5R1 | 11 | 0.7150.715 | To | To |
P5R2P5R2 | 22 | 0.8350.835 | 2.3152.315 | To |
P6R1P6R1 | 11 | 1.5051.505 | To | To |
P6R2P6R2 | 22 | 1.0151.015 | 3.4753.475 | To |
P7R1P7R1 | 22 | 1.4051.405 | 3.7553.755 | To |
P7R2P7R2 | 11 | 1.2851.285 | To | To |
P8R1P8R1 | 22 | 2.7552.755 | 3.9953.995 | To |
P8R2P8R2 | 11 | 1.0551.055 | To | To |
【表8】【Table 8】
To | 驻点个数Number of stationary points | 驻点位置1Stagnation position 1 | 驻点位置2Stagnation position 2 |
P1R1 |
00 | To | To |
P1R2 |
00 | To | To |
P2R1 |
00 | To | To |
P2R2 |
00 | To | To |
P3R1 |
00 | To | To |
P3R2 |
00 | To | To |
P4R1 |
00 | To | To |
P4R2 |
00 | To | To |
P5R1P5R1 | 11 | 1.0651.065 | To |
P5R2P5R2 | 11 | 1.2551.255 | To |
P6R1P6R1 | 11 | 2.3052.305 | To |
P6R2P6R2 | 11 | 2.3352.335 | To |
P7R1P7R1 | 22 | 2.4652.465 | 4.0854.085 |
P7R2P7R2 | 11 | 1.9251.925 | To |
P8R1 |
00 | To | To |
P8R2P8R2 | 11 | 1.9651.965 | To |
图6、图7分别示出了波长为656nm、587nm、546nm、486nm和450nm的光经过第二实施方式的摄像光学镜头20后的轴向像差以及倍率色差示意图。图8则示出了,波长为546nm的光经过第二实施方式的摄像光学镜头20后的场曲及畸变示意图。6 and 7 respectively show schematic diagrams of axial aberration and chromatic aberration of magnification after light with wavelengths of 656 nm, 587 nm, 546 nm, 486 nm and 450 nm passes through the imaging optical lens 20 of the second embodiment. FIG. 8 shows a schematic diagram of field curvature and distortion of light with a wavelength of 546 nm after passing through the imaging optical lens 20 of the second embodiment.
如表13所示,第二实施方式满足各条件式。As shown in Table 13, the second embodiment satisfies various conditional expressions.
在本实施方式中,所述摄像光学镜头的入瞳直径为3.795mm,全视场像高为7.30mm,对角线方向的视场角为87.60°,广角、超薄,其轴上、轴外色像差充分补正,且具有优秀的光学特征。In this embodiment, the entrance pupil diameter of the imaging optical lens is 3.795mm, the full-field image height is 7.30mm, the diagonal field angle is 87.60°, wide-angle, ultra-thin, and its axis and axis The external chromatic aberration is fully corrected and has excellent optical characteristics.
(第三实施方式)(Third embodiment)
第三实施方式与第一实施方式基本相同,符号含义与第一实施方式相同,以下只列出不同点。The third embodiment is basically the same as the first embodiment, and the meaning of the symbols is the same as that of the first embodiment, and only the differences are listed below.
表9、表10示出本发明第三实施方式的摄像光学镜头30的设计数据。Table 9 and Table 10 show design data of the imaging optical lens 30 according to the third embodiment of the present invention.
【表9】【Table 9】
表10示出本发明第三实施方式的摄像光学镜头30中各透镜的非球面数据。Table 10 shows the aspheric surface data of each lens in the imaging optical lens 30 of the third embodiment of the present invention.
【表10】【Table 10】
表11、表12示出本发明第三实施方式的摄像光学镜头30中各透镜的反曲点以及驻点设计数据。Table 11 and Table 12 show the inflection point and stagnation point design data of each lens in the imaging optical lens 30 of the third embodiment of the present invention.
【表11】【Table 11】
To | 反曲点个数Number of recurve points | 反曲点位置1Recurve point position 1 | 反曲点位置2Recurve point position 2 | 反曲点位置3Recurve point position 3 | 反曲点位置4Recurve point position 4 |
P1R1P1R1 | 11 | 1.6351.635 | To | To | To |
P1R2P1R2 | 11 | 1.7351.735 | To | To | To |
P2R1P2R1 | 44 | 0.9550.955 | 1.5951.595 | 1.8351.835 | 2.0452.045 |
P2R2P2R2 | 11 | 1.8151.815 | To | To | To |
P3R1P3R1 | 22 | 1.7951.795 | 2.0752.075 | To | To |
P3R2 |
00 | To | To | To | To |
P4R1P4R1 | 11 | 2.3152.315 | To | To | To |
P4R2P4R2 | 11 | 2.3252.325 | To | To | To |
P5R1P5R1 | 11 | 0.7350.735 | To | To | To |
P5R2P5R2 | 22 | 0.8350.835 | 2.2452.245 | To | To |
P6R1P6R1 | 11 | 1.5251.525 | To | To | To |
P6R2P6R2 | 11 | 1.0951.095 | To | To | To |
P7R1P7R1 | 22 | 1.2051.205 | 3.4653.465 | To | To |
P7R2P7R2 | 11 | 1.4951.495 | To | To | To |
P8R1P8R1 | 22 | 2.8352.835 | 3.7953.795 | To | To |
P8R2P8R2 | 11 | 0.8650.865 | To | To | To |
【表12】【Table 12】
To | 驻点个数Number of stationary points | 驻点位置1Stagnation position 1 | 驻点位置2Stagnation position 2 |
P1R1 |
00 | To | To |
P1R2P1R2 | 11 | 2.0352.035 | To |
P2R1P2R1 | 11 | 1.9651.965 | To |
P2R2 |
00 | To | To |
P3R1 |
00 | To | To |
P3R2 |
00 | To | To |
P4R1 |
00 | To | To |
P4R2 |
00 | To | To |
P5R1P5R1 | 11 | 1.0951.095 | To |
P5R2P5R2 | 22 | 1.2651.265 | 2.4452.445 |
P6R1P6R1 | 11 | 2.3152.315 | To |
P6R2P6R2 | 11 | 2.5052.505 | To |
P7R1P7R1 | 22 | 2.1752.175 | 3.8653.865 |
P7R2P7R2 | 11 | 2.3052.305 | To |
P8R1 |
00 | To | To |
P8R2P8R2 | 11 | 1.5651.565 | To |
图10、图11分别示出了波长为656nm、587nm、546nm、486nm和450nm的光经过第三实施方式的摄像光学镜头30后的轴向像差以及倍率色差示意图。图12则示出了,波长为546nm的光经过第三实施方式的摄像光学镜头30后的场曲及畸变示意图。10 and 11 respectively show schematic diagrams of axial aberration and chromatic aberration of magnification after light having wavelengths of 656 nm, 587 nm, 546 nm, 486 nm, and 450 nm pass through the imaging optical lens 30 of the third embodiment. FIG. 12 shows a schematic diagram of field curvature and distortion of light with a wavelength of 546 nm after passing through the imaging optical lens 30 of the third embodiment.
以下表13按照上述条件式列出了本实施方式中对应各条件式的数值。显然,本实施方式的摄像光学系统满足上述的条件式。The following Table 13 lists the numerical values corresponding to each conditional expression in this embodiment according to the above-mentioned conditional expressions. Obviously, the imaging optical system of this embodiment satisfies the above-mentioned conditional expressions.
在本实施方式中,所述摄像光学镜头的入瞳直径为4.033mm,全视场像高为6.80mm,对角线方向的视场角为80.00°,广角、超薄,其轴上、轴外色像差充分补正,且具有优秀的光学特征。In this embodiment, the entrance pupil diameter of the imaging optical lens is 4.033mm, the full-field image height is 6.80mm, the diagonal field angle is 80.00°, wide-angle, ultra-thin, and its axis and axis The external chromatic aberration is fully corrected and has excellent optical characteristics.
【表13】【Table 13】
参数及条件式Parameters and conditions | 实施例1Example 1 | 实施例2Example 2 | 实施例3Example 3 |
f1/ff1/f | 3.523.52 | 6.496.49 | 5.115.11 |
f2f2 | -268.38-268.38 | -469.71-469.71 | -1742.25-1742.25 |
n7n7 | 1.571.57 | 1.571.57 | 1.671.67 |
ff | 7.9467.946 | 7.4007.400 | 7.8647.864 |
f1f1 | 27.98027.980 | 48.04748.047 | 40.19940.199 |
f3f3 | 8.0318.031 | 7.8607.860 | 7.9117.911 |
f4f4 | -28.821-28.821 | -27.009-27.009 | -27.547-27.547 |
f5f5 | -112.474-112.474 | -105.217-105.217 | -90.739-90.739 |
f6f6 | -20.039-20.039 | -22.848-22.848 | -23.231-23.231 |
f7f7 | 7.6177.617 | 6.7976.797 | 7.6947.694 |
f8f8 | -5.738-5.738 | -5.574-5.574 | -5.029-5.029 |
f12f12 | 30.44730.447 | 52.40952.409 | 40.44840.448 |
FnoFno | 2.002.00 | 1.951.95 | 1.951.95 |
其中,Fno为摄像光学镜头的光圈F数。Among them, Fno is the aperture F number of the imaging optical lens.
本领域的普通技术人员可以理解,上述各实施方式是实现本发明的具体实施方式,而在实际应用中,可以在形式上和细节上对其作各种改变,而不偏离本发明的精神和范围。A person of ordinary skill in the art can understand that the above-mentioned embodiments are specific embodiments for realizing the present invention, and in practical applications, various changes can be made to them in form and details without departing from the spirit and spirit of the present invention. range.
Claims (11)
- 一种摄像光学镜头,其特征在于,所述摄像光学镜头,自物侧至像侧依序包含:第一透镜,第二透镜,第三透镜,第四透镜,第五透镜,第六透镜,第七透镜,以及第八透镜;An imaging optical lens, characterized in that, from the object side to the image side, the imaging optical lens includes a first lens, a second lens, a third lens, a fourth lens, a fifth lens, and a sixth lens, in order from the object side to the image side, The seventh lens, and the eighth lens;所述摄像光学镜头的焦距为f,所述第一透镜的焦距为f1,所述第二透镜的焦距为f2,所述第七透镜的折射率为n7,且满足下列关系式:The focal length of the imaging optical lens is f, the focal length of the first lens is f1, the focal length of the second lens is f2, the refractive index of the seventh lens is n7, and the following relationship is satisfied:3.50≤f1/f≤6.50;3.50≤f1/f≤6.50;f2≤0;f2≤0;1.55≤n7≤1.70。1.55≤n7≤1.70.
- 根据权利要求1所述的摄像光学镜头,其特征在于,所述第三透镜的轴上厚度为d5,所述第三透镜的像侧面到第四透镜的物侧面的轴上距离为d6,且满足下列关系式:The imaging optical lens of claim 1, wherein the on-axis thickness of the third lens is d5, and the on-axis distance from the image side surface of the third lens to the object side surface of the fourth lens is d6, and Satisfy the following relations:1.50≤d5/d6≤4.00。1.50≤d5/d6≤4.00.
- 根据权利要求1所述的摄像光学镜头,其特征在于,所述第五透镜的焦距为f5,所述第六透镜的焦距为f6,且满足下列关系式:The imaging optical lens of claim 1, wherein the focal length of the fifth lens is f5, and the focal length of the sixth lens is f6, and the following relationship is satisfied:3.50≤f5/f6≤6.00。3.50≤f5/f6≤6.00.
- 根据权利要求1所述的摄像光学镜头,其特征在于,所述第一透镜物侧面的曲率半径为R1,所述第一透镜像侧面的曲率半径为R2,所述第一透镜的轴上厚度为d1,所述摄像光学镜头的光学总长为TTL,且满足下列关系式:The imaging optical lens of claim 1, wherein the curvature radius of the object side surface of the first lens is R1, the curvature radius of the image side surface of the first lens is R2, and the on-axis thickness of the first lens Is d1, the total optical length of the camera optical lens is TTL, and satisfies the following relationship:-36.07≤(R1+R2)/(R1-R2)≤-8.17;-36.07≤(R1+R2)/(R1-R2)≤-8.17;0.02≤d1/TTL≤0.10。0.02≤d1/TTL≤0.10.
- 根据权利要求1所述的摄像光学镜头,其特征在于,所述第二透镜物侧面的曲率半径为R3,所述第二透镜像侧面的曲率半径为R4,所述第二透镜的轴上厚度为d3,所述摄像光学镜头的光学总长为TTL,且满足下列关系式:The imaging optical lens according to claim 1, wherein the curvature radius of the object side surface of the second lens is R3, the curvature radius of the image side surface of the second lens is R4, and the on-axis thickness of the second lens Is d3, the total optical length of the camera optical lens is TTL, and satisfies the following relationship:-443.09≤f2/f≤-22.52;18.63≤(R3+R4)/(R3-R4)≤141.75;-443.09≤f2/f≤-22.52; 18.63≤(R3+R4)/(R3-R4)≤141.75;0.01≤d3/TTL≤0.04。0.01≤d3/TTL≤0.04.
- 根据权利要求1所述的摄像光学镜头,其特征在于,所述第三透镜的焦距为f3,所述第三透镜物侧面的曲率半径为R5,所述第三透镜像侧面的曲率半径为R6,所述第三透镜的轴上厚度为d5,所述摄像光学镜头的光学总长为TTL,且满足下列关系式:The imaging optical lens of claim 1, wherein the focal length of the third lens is f3, the radius of curvature of the object side of the third lens is R5, and the radius of curvature of the image side of the third lens is R6. , The axial thickness of the third lens is d5, the total optical length of the imaging optical lens is TTL, and the following relationship is satisfied:0.50≤f3/f≤1.59;-0.41≤(R5+R6)/(R5-R6)≤-0.12;0.50≤f3/f≤1.59; -0.41≤(R5+R6)/(R5-R6)≤-0.12;0.05≤d5/TTL≤0.15。0.05≤d5/TTL≤0.15.
- 根据权利要求1所述的摄像光学镜头,其特征在于,所述第四透镜的焦距为f4,所述第四透镜物侧面的曲率半径为R7,所述第四透镜像侧面的曲率半径为R8,所述第四透镜的轴上厚度为d7,所述摄像光学镜头的光学总长为TTL,且满足下列关系式:The imaging optical lens of claim 1, wherein the focal length of the fourth lens is f4, the radius of curvature of the object side of the fourth lens is R7, and the radius of curvature of the image side of the fourth lens is R8. , The axial thickness of the fourth lens is d7, the total optical length of the imaging optical lens is TTL, and the following relationship is satisfied:-7.30≤f4/f≤-2.34;1.62≤(R7+R8)/(R7-R8)≤5.02;-7.30≤f4/f≤-2.34; 1.62≤(R7+R8)/(R7-R8)≤5.02;0.01≤d7/TTL≤0.05。0.01≤d7/TTL≤0.05.
- 根据权利要求1所述的摄像光学镜头,其特征在于,所述第五透镜的焦距为f5,所述第五透镜物侧面的曲率半径为R9,所述第五透镜像侧面的曲率半径为R10,所述第五透镜的轴上厚度为d9,所述摄像光学镜头的光学总长为TTL,且满足下列关系式:The imaging optical lens of claim 1, wherein the focal length of the fifth lens is f5, the radius of curvature of the object side of the fifth lens is R9, and the radius of curvature of the image side of the fifth lens is R10 , The axial thickness of the fifth lens is d9, the total optical length of the imaging optical lens is TTL, and the following relationship is satisfied:-28.44≤f5/f≤-7.69;1.86≤(R9+R10)/(R9-R10)≤6.84;-28.44≤f5/f≤-7.69; 1.86≤(R9+R10)/(R9-R10)≤6.84;0.02≤d9/TTL≤0.05。0.02≤d9/TTL≤0.05.
- 根据权利要求1所述的摄像光学镜头,其特征在于,所述第六透镜的焦距为f6,所述第六透镜物侧面的曲率半径为R11,所述第六透镜像侧面的曲率半径为R12,所述第六透镜的轴上厚度为d11,所述摄像光学镜头的光学总长为TTL,且满足下列关系式:The imaging optical lens of claim 1, wherein the focal length of the sixth lens is f6, the radius of curvature of the object side of the sixth lens is R11, and the radius of curvature of the image side of the sixth lens is R12 , The on-axis thickness of the sixth lens is d11, the total optical length of the imaging optical lens is TTL, and the following relationship is satisfied:-6.18≤f6/f≤-1.68;2.04≤(R11+R12)/(R11-R12)≤7.94;-6.18≤f6/f≤-1.68; 2.04≤(R11+R12)/(R11-R12)≤7.94;0.03≤d11/TTL≤0.08。0.03≤d11/TTL≤0.08.
- 根据权利要求1所述的摄像光学镜头,其特征在于,所述第七透镜的焦距为f7,所述第七透镜物侧面的曲率半径为R13,所述第七透镜像侧面的曲率半径为R14,所述第七透镜的轴上厚度为d13,所述摄像光学镜头的光学总长为TTL,且满足下列关系式:The imaging optical lens of claim 1, wherein the focal length of the seventh lens is f7, the radius of curvature of the object side of the seventh lens is R13, and the radius of curvature of the image side of the seventh lens is R14 , The axial thickness of the seventh lens is d13, the total optical length of the imaging optical lens is TTL, and the following relationship is satisfied:0.46≤f7/f≤1.47;-3.72≤(R13+R14)/(R13-R14)≤-0.82;0.46≤f7/f≤1.47; -3.72≤(R13+R14)/(R13-R14)≤-0.82;0.04≤d13/TTL≤0.20。0.04≤d13/TTL≤0.20.
- 根据权利要求1所述的摄像光学镜头,其特征在于,所述第八透镜的焦距为f8,所述第八透镜物侧面的曲率半径为R15,所述第八透镜像侧面的曲率半径为R16,所述第八透镜的轴上厚度为d15,所述摄像光学镜头的光学总长为TTL,且满足下列关系式:The imaging optical lens of claim 1, wherein the focal length of the eighth lens is f8, the radius of curvature of the object side of the eighth lens is R15, and the radius of curvature of the image side of the eighth lens is R16. , The axial thickness of the eighth lens is d15, the total optical length of the imaging optical lens is TTL, and the following relationship is satisfied:-1.51≤f8/f≤-0.43;-1.51≤f8/f≤-0.43;-0.94≤(R15+R16)/(R15-R16)≤-0.19;-0.94≤(R15+R16)/(R15-R16)≤-0.19;0.04≤d15/TTL≤0.22。0.04≤d15/TTL≤0.22.
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