Camera optical lens comprising seven lenses of +-+-+- refractive powers
Granted 28 Dec 2021 · no office action yet
Current assignee: AAC Optics Solutions Pte. Ltd. · originally AAC Technologies Holdings Inc.
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Inventors: Lei Zhang, Takaaki Teranishi, Yuanshan Cui · Examiner: Wen Huang · AU 2872 · TC 2800
Life of the application
6 dated eventsAbstract
The present invention provides a camera optical lens including, from an object side to an image side: a first lens having a positive refractive power; a second lens having a negative refractive power; a third lens having a negative refractive power; a fourth lens having a positive refractive power; a fifth lens having a negative refractive power; a sixth lens having a positive refractive power; and a seventh lens having a negative refractive power first to seventh lenses. The camera optical lens satisfies following conditions: 1.00≤R7/R5≤2.20; −5.00≤R13/R14≤−1.50; and 3.00≤R3/R1≤8.00, where R1, R3, R5, R7 and R13 denote curvature radiuses of object side surfaces of the first, second, third, fourth and seventh lenses; and R14 denotes a curvature radius of an image side surface of the seventh lens. The camera optical lens can achieve high optical performance while satisfying design requirements for ultra-thin, wide-angle lenses having large apertures.
Description
12 parts›TECHNICAL FIELD
The present invention relates to the field of optical lens, and more particularly, to a camera optical lens suitable for handheld terminal devices, such as smart phones or digital cameras, and camera devices, such as monitors or PC lenses.
›BACKGROUND
With the emergence of smart phones in recent years, the demand for miniature camera optical lens is increasingly higher, but in general the photosensitive devices of camera optical lens are nothing more than Charge Coupled Devices (CCDs) or Complementary Metal-Oxide Semiconductor Sensors (CMOS sensors). As the progress of the semiconductor manufacturing technology makes the pixel size of the photosensitive devices become smaller, plus the current development trend of electronic products towards better functions and thinner and smaller dimensions, miniature camera optical lenses with good imaging quality have become a mainstream in the market.
In order to obtain better imaging quality, the lens that is traditionally equipped in mobile phone cameras adopts a three-piece or four-piece lens structure. Also, with the development of technology and the increase of the diverse demands of users, and as the pixel area of photosensitive devices is becoming smaller and smaller and the requirement of the system on the imaging quality becoming increasingly higher, a five-piece or six-piece or seven-piece lens structure gradually emerges in lens designs. Although the common seven-piece lens has good optical performance, its refractive power, lens spacing and lens shape settings still have some irrationality, such that the lens structure cannot achieve high optical performance while satisfying design requirements for ultra-thin, wide-angle lenses having large apertures.
›SUMMARY · 1 of 2
In view of the problems, the present invention aims to provide a camera optical lens, which can achieve high optical performance while satisfying design requirements for ultra-thin, wide-angle lenses having large apertures.
In an embodiment, the present invention provides a camera optical lens. The camera optical lens includes, sequentially from an object side to an image side: a first lens having a positive refractive power; a second lens having a negative refractive power; a third lens having a negative refractive power; a fourth lens having a positive refractive power; a fifth lens having a negative refractive power; a sixth lens having a positive refractive power; and a seventh lens having a negative refractive power. The camera optical lens satisfies following conditions: 1.00≤R7/R5≤2.20; −5.00≤R13/R14≤−1.50; and 3.00≤R3/R1≤8.00, where R1 denotes a curvature radius of an object side surface of the first lens; R3 denotes a curvature radius of an object side surface of the second lens; R5 denotes a curvature radius of an object side surface of the third lens; R7 denotes a curvature radius of an object side surface of the fourth lens; R13 denotes a curvature radius of an object side surface of the seventh lens; and R14 denotes a curvature radius of an image side surface of the seventh lens.
As an improvement, the object side surface of the first lens is convex in a paraxial region, and the first lens further includes an image side surface being concave in the paraxial region. The camera optical lens satisfies following conditions: 0.35≤f1/f≤1.15; −2.60≤(R1+R2)/(R1−R2)≤−0.73; and 0.06≤d1/TTL≤0.20, where f denotes a focal length of the camera optical lens; f1 denotes a focal length of the first lens; R2 denotes a curvature radius of the image side surface of the first lens; d1 denotes an on-axis thickness of the first lens; and TTL denotes a total optical length from the object side surface of the first lens to an image plane of the camera optical lens along an optic axis.
As an improvement, the camera optical lens further satisfies following conditions: 0.57≤f1/f≤1.00; −2.00≤(R1+R2)/(R1−R2)≤−0.92; and 0.10≤d1/TTL≤0.17.
As an improvement, the object side surface of the second lens is convex in a paraxial region, and the second lens further includes an image side surface being concave in the paraxial region. The camera optical lens satisfies following conditions: −3.00≤f2/f≤−0.85; 0.79≤(R3+R4)/(R3−R4)≤4.07; and 0.02≤d3/TTL≤0.05, where f denotes a focal length of the camera optical lens; f2 denotes a focal length of the second lens; R4 denotes a curvature radius of the image side surface of the second lens; d3 denotes an on-axis thickness of the second lens; and TTL denotes a total optical length from the object side surface of the first lens to an image plane of the camera optical lens along an optic axis.
As an improvement, the camera optical lens further satisfies following conditions: −2.70≤f2/f≤−1.07; 1.27≤(R3+R4)/(R3−R4)≤3.26; and 0.02≤d3/TTL≤0.04.
As an improvement, the object side surface of the third lens is convex in a paraxial region, and the third lens further includes an image side surface being concave in the paraxial region. The camera optical lens satisfies following conditions: −255.05≤f3/f≤−8.00; 3.19≤(R5+R6)/(R5−R6)≤58.65; and 0.02≤d5/TTL≤0.07, where f denotes a focal length of the camera optical lens; f3 denotes a focal length of the third lens; and R6 denotes a curvature radius of the image side surface of the third lens; d5 denotes an on-axis thickness of the third lens; and TTL denotes a total optical length from the object side surface of the first lens to an image plane of the camera optical lens along an optic axis.
As an improvement, the camera optical lens further satisfies following conditions: −159.41≤f3/f≤−10.00; 5.10≤(R5+R6)/(R5−R6)≤46.92; and 0.03≤d5/TTL≤0.06.
As an improvement, the object side surface of the fourth lens is convex in a paraxial region, and the fourth lens further includes an image side surface being convex in the paraxial region. The camera optical lens satisfies following conditions: 2.06≤f4/f≤6.72; −0.28≤(R7+R8)/(R7−R8)≤0.79; and 0.04≤d7/TTL≤0.12, where f denotes a focal length of the camera optical lens; f4 denotes a focal length of the fourth lens; R8 denotes a curvature radius of the image side surface of the fourth lens; d7 denotes an on-axis thickness of the fourth lens; and TTL denotes a total optical length from the object side surface of the first lens to an image plane of the camera optical lens along an optic axis.
As an improvement, the camera optical lens further satisfies following conditions: 3.30≤f4/f≤5.37; −0.17≤(R7+R8)/(R7−R8)≤0.63; and 0.06≤d7/TTL≤0.10.
As an improvement, the fifth lens includes an object side surface being convex in a paraxial region and an image side surface being concave in the paraxial region. The camera optical lens satisfies following conditions: −6.05≤f5/f≤−1.62; 1.34≤(R9+R10)/(R9−R10)≤5.60; and 0.03≤d9/TTL≤0.09, where f denotes a focal length of the camera optical lens; f5 denotes a focal length of the fifth lens; R9 denotes a curvature radius of the object side surface of the fifth lens; R10 denotes a curvature radius of the image side surface of the fifth lens; d9 denotes an on-axis thickness of the fifth lens; and TTL denotes a total optical length from the object side surface of the first lens to an image plane of the camera optical lens along an optic axis.
As an improvement, the camera optical lens further satisfies following conditions: −4.50≤f5/f≤−2.02; 2.14≤(R9+R10)/(R9−R10)≤5.20; and 0.04≤d9/TTL≤0.08.
As an improvement, the sixth lens includes an object side surface being convex in a paraxial region and an image side surface being concave in the paraxial region. The camera optical lens satisfies following conditions: 0.57≤f6/f≤1.87; −4.99≤(R11+R12)/(R11−R12)≤−1.16; and 0.04≤d11/TTL≤0.15, where f denotes a focal length of the camera optical lens; f6 denotes a focal length of the sixth lens; R11 denotes a curvature radius of the object side surface of the sixth lens; R12 denotes a curvature radius of the image side surface of the sixth lens; d11 denotes an on-axis thickness of the sixth lens; and TTL denotes a total optical length from the object side surface of the first lens to an image plane of the camera optical lens along an optic axis.
›SUMMARY · 2 of 2
As an improvement, the camera optical lens further satisfies following conditions: 0.91≤f6/f≤1.50; −3.12≤(R11+R12)/(R11−R12)≤−1.45; and 0.05≤d11/TTL≤0.12.
As an improvement, the object side surface of the seventh lens is concave in a paraxial region, and the image side surface of the seventh lens is concave in the paraxial region. The camera optical lens satisfies following conditions: −1.76≤f7/f≤−0.57; 0.10≤(R13+R14)/(R13−R14)≤1.00; and 0.03≤d13/TTL≤0.13, where f denotes a focal length of the camera optical lens; f7 denotes a focal length of the seventh lens; d13 denotes an on-axis thickness of the seventh lens; and TTL denotes a total optical length from the object side surface of the first lens to an image plane of the camera optical lens along an optic axis.
As an improvement, the camera optical lens further satisfies following conditions: −1.10≤f7/f≤−0.72; 0.16≤(R13+R14)/(R13−R14)≤0.80; and 0.05≤d13/TTL≤0.10.
As an improvement, a total optical length TTL from the object side surface of the first lens to an image plane of the camera optical lens along an optic axis is smaller than or equal to 8.75 mm.
As an improvement, the total optical length TTL is smaller than or equal to 8.35 mm.
As an improvement, an F number of the camera optical lens is smaller than or equal to 1.96.
As an improvement, the F number of the camera optical lens is smaller than or equal to 1.92.
The present invention has advantageous effects in that the camera optical lens according to the present invention has excellent optical characteristics and is ultra-thin, wide-angle and has a large aperture, making it especially suitable for high-pixel camera optical lens assembly of mobile phones and WEB camera optical lenses formed by camera elements such as CCD and CMOS.
›BRIEF DESCRIPTION OF DRAWINGS
Many aspects of the exemplary embodiment can be better understood with reference to the following drawings. The components in the drawings are not necessarily drawn to scale, the emphasis instead being placed upon clearly illustrating the principles of the present invention. Moreover, in the drawings, like reference numerals designate corresponding parts throughout the several views.
FIG. 1 is a schematic diagram of a structure of a camera optical lens in accordance with Embodiment 1 of the present invention;
FIG. 2 is a schematic diagram of a longitudinal aberration of the camera optical lens shown in FIG. 1 ;
FIG. 3 is a schematic diagram of a lateral color of the camera optical lens shown in FIG. 1 ;
FIG. 4 is a schematic diagram of a field curvature and a distortion of the camera optical lens shown in FIG. 1 ;
FIG. 5 is a schematic diagram of a structure of a camera optical lens in accordance with Embodiment 2 of the present invention;
FIG. 6 is a schematic diagram of a longitudinal aberration of the camera optical lens shown in FIG. 5 ;
FIG. 7 is a schematic diagram of a lateral color of the camera optical lens shown in FIG. 5 ;
FIG. 8 is a schematic diagram of a field curvature and a distortion of the camera optical lens shown in FIG. 5 ;
FIG. 9 is a schematic diagram of a structure of a camera optical lens in accordance with Embodiment 3 of the present invention;
FIG. 10 is a schematic diagram of a longitudinal aberration of the camera optical lens shown in FIG. 9 ;
FIG. 11 is a schematic diagram of a lateral color of the camera optical lens shown in FIG. 9 ; and
FIG. 12 is a schematic diagram of a field curvature and a distortion of the camera optical lens shown in FIG. 9 .
›DESCRIPTION OF EMBODIMENTS
The present invention will hereinafter be described in detail with reference to several exemplary embodiments. To make the technical problems to be solved, technical solutions and beneficial effects of the present invention more apparent, the present invention is described in further detail together with the figure and the embodiments. It should be understood the specific embodiments described hereby is only to explain the disclosure, not intended to limit the disclosure.
›Embodiment 1 · 1 of 4
Referring to FIG. 1 , the present invention provides a camera optical lens 10 . FIG. 1 shows the camera optical lens 10 according to Embodiment 1 of the present invention. The camera optical lens 10 includes seven lenses. Specifically, the camera optical lens 10 includes, sequentially from an object side to an image side, an aperture S1, a first lens L 1 , a second lens L 2 , a third lens L 3 , a fourth lens L 4 , a fifth lens L 5 , a sixth lens L 6 , and a seventh lens L 7 . An optical element such as a glass filter can be arranged between the seventh lens L 7 and an image plane Si.
The first lens L 1 has a positive refractive power, the second lens L 2 has a negative refractive power, the third lens L 3 has a negative refractive power, the fourth lens L 4 has a positive refractive power, the fifth lens L 5 has a negative refractive power, the sixth lens L 6 has a positive refractive power, and the seventh lens L 7 has a negative refractive power.
The first lens L 1 is made of a plastic material, the second lens L 2 is made of a plastic material, the third lens L 3 is made of a plastic material, the fourth lens L 4 is made of a plastic material, the fifth lens L 5 is made of a plastic material, the sixth lens L 6 is made of a plastic material, and the seventh lens L 7 is made of a plastic material. In other embodiments, the lenses may be made of other material.
A curvature radius of an object side surface of the third lens L 3 is defined as R5, and a curvature radius of an object side surface of the fourth lens L 4 is defined as R7. The camera optical lens 10 should satisfy a condition of 1.00≤R7/R5≤2.20. By controlling a ratio of the curvature radius of the object side surface of the fourth lens to the curvature radius of the object side surface of the third lens, the vulnerability of the camera optical lens to an eccentricity of the third lens can be effectively reduced.
A curvature radius of an object side surface of the seventh lens L 7 is defined as R13, and a curvature radius of an image side surface of the seventh lens L 7 is defined as R14, The camera optical lens 10 should satisfy a condition of −5.00≤R13/R14≤−1.50, which specifies a shape of the seventh lens L 7 . This can facilitate correction of an off-axis aberration with development towards ultra-thin, wide-angle lenses.
A curvature radius of an object side surface of the first lens L 1 is defined as R1, and a curvature radius of an object side surface of the second lens L 2 is defined as R3. The camera optical lens 10 should satisfy a condition of 3.00≤R3/R1≤8.00. By controlling a ratio of the curvature radius of the object side surface of the second lens to the curvature radius of the object side surface of the first lens, the second lens can be prevented from being too curved and development towards wide-angle lenses can be facilitated.
In an embodiment, the object side surface of the first lens L 1 is convex in a paraxial region and the image side surface of the first lens L 1 is concave in the paraxial region.
A focal length of the camera optical lens 10 is defined as f, and a focal length of the first lens L 1 is defined as f1. The camera optical lens 10 should satisfy a condition of 0.35≤f1/f≤1.15, which specifies a ratio of the focal length f1 of the first lens L 1 to the focal length f of the camera optical lens 10 . When the condition is satisfied, the first lens L 1 can have an appropriate positive refractive power, thereby facilitating reducing aberrations of the system while facilitating development towards ultra-thin, wide-angle lenses. As an example, 0.57≤f1/f≤1.00.
A curvature radius of the object side surface of the first lens L 1 is defined as R1, and a curvature radius of the image side surface of the first lens L 1 is defined as R2. The camera optical lens 10 should satisfy a condition of −2.60≤(R1+R2)/(R1−R2)≤−0.73. This can reasonably control a shape of the first lens L 1 , so that the first lens L 1 can effectively correct spherical aberrations of the system. As an example, −2.00≤(R1+R2)/(R1−R2)≤−0.92.
An on-axis thickness of the first lens L 1 is defined as d1, and a total optical length from the object side surface of the first lens L 1 to an image plane of the camera optical lens 10 along an optic axis is defined as TTL. The camera optical lens 10 should satisfy a condition of 0.06≤d1/TTL≤0.20. This can facilitate achieving ultra-thin lenses. As an example, 0.10≤d1/TTL≤0.17.
In an embodiment, the object side surface of the second lens L 2 is convex in a paraxial region and an image side surface of the second lens L 2 is concave in the paraxial region.
The focal length of the camera optical lens 10 is f, and the focal length of the second lens L 2 is f2. The camera optical lens 10 further satisfies a condition of −3.00≤f2/f≤−0.85. By controlling the negative refractive power of the second lens L 2 within the reasonable range, correction of aberrations of the optical system can be facilitated. As an example, −2.70≤f2/f≤−1.07.
A curvature radius of the object side surface of the second lens L 2 is defined as R3, and a curvature radius of the image side surface of the second lens L 2 is defined as R4. The camera optical lens 10 should satisfy a condition of 0.79≤(R3+R4)/(R3−R4)≤4.07, which specifies a shape of the second lens L 2 . This can facilitate correction of an on-axis aberration with development towards ultra-thin, wide-angle lenses. As an example, 1.27≤(R3+R4)/(R3−R4)≤3.26.
An on-axis thickness of the second lens L 2 is defined as d3, and the total optical length from the object side surface of the first lens L 1 to an image plane of the camera optical lens 10 along an optic axis is defined as TTL. The camera optical lens 10 should satisfy a condition of 0.02≤d3/TTL≤0.05. This can facilitate achieving ultra-thin lenses. As an example, 0.02≤d3/TTL≤0.04.
In an embodiment, the object side surface of the third lens L 3 is convex in a paraxial region and an image side surface of the third lens L 3 is concave in the paraxial region.
›Embodiment 1 · 2 of 4
The focal length of the camera optical lens 10 is f, and the focal length of the third lens L 3 is f3. The camera optical lens 10 further satisfies a condition of −255.05≤f3/f≤−8.00. The appropriate distribution of the refractive power leads to better imaging quality and a lower sensitivity. As an example, −159.41≤f3/f≤−10.00.
A curvature radius of the object side surface of the third lens L 3 is defined as R5, and a curvature radius of the image side surface of the third lens L 3 is defined as R6. The camera optical lens 10 should satisfy a condition of 3.19≤(R5+R6)/(R5−R6)≤58.65. This can reasonably control a shape of the third lens L 3 . This can effectively control a shape of the third lens L 3 , thereby facilitating shaping of the third lens L 3 and avoiding bad shaping and generation of stress due to the overly large surface curvature of the third lens L 3 . As an example, 5.10≤(R5+R6)/(R5−R6)≤46.92.
An on-axis thickness of the third lens L 3 is defined as d5, and the total optical length from the object side surface of the first lens L 1 to an image plane of the camera optical lens 10 along an optic axis is defined as TTL. The camera optical lens 10 should satisfy a condition of 0.02≤d5/TTL≤0.07. This can facilitate achieving ultra-thin lenses. As an example, 0.03≤d5/TTL≤0.06.
The object side surface of the fourth lens L 4 is convex in a paraxial region and an image side surface of the fourth lens L 4 is convex in the paraxial region.
The focal length of the camera optical lens 10 is f, and the focal length of the fourth lens L 4 is f4. The camera optical lens 10 further satisfies a condition of 2.06≤f4/f≤6.72, which specifies a ratio of the focal length of the fourth lens to the focal length of the camera optical lens. The appropriate distribution of the positive refractive power leads to better imaging quality and a lower sensitivity. As an example, 3.30≤f4/f≤5.37.
A curvature radius of the object side surface of the fourth lens L 4 is defined as R7, and a curvature radius of the image side surface of the fourth lens L 4 is defined as R8. The camera optical lens 10 should satisfy a condition of −0.28≤(R7+R8)/(R7−R8)≤0.79, which specifies a shape of the fourth lens L 4 . This can facilitate correction of an off-axis aberration with development towards ultra-thin, wide-angle lenses. As an example, −0.17≤(R7+R8)/(R7−R8)≤0.63.
An on-axis thickness of the fourth lens L 4 is defined as d7, and the total optical length from the object side surface of the first lens L 1 to an image plane of the camera optical lens 10 along an optic axis is defined as TTL. The camera optical lens 10 should satisfy a condition of 0.04≤d7/TTL≤0.12. This can facilitate achieving ultra-thin lenses. As an example, 0.06≤d7/TTL≤0.10.
In an embodiment, the fifth lens L 5 includes an object side surface being convex in a paraxial region and an image side surface being concave in the paraxial region.
The focal length of the camera optical lens 10 is f, and the focal length of the fifth lens L 5 is f5. The camera optical lens 10 further satisfies a condition of −6.05≤f5/f≤−1.62. This condition for the fifth lens L 5 can effectively make a light angle of the camera optical lens 10 gentle and reduce the tolerance sensitivity. As an example, −4.50≤f5/f≤−2.02.
A curvature radius of the object side surface of the fifth lens L 5 is defined as R9, and a curvature radius of the image side surface of the fifth lens L 5 is defined as R10. The camera optical lens 10 should satisfy a condition of 1.34≤(R9+R10)/(R9−R10)≤5.60, which specifies a shape of the fifth lens L 5 . This can facilitate correction of an off-axis aberration with development towards ultra-thin, wide-angle lenses. As an example, 2.14≤(R9+R10)/(R9−R10)≤5.20.
An on-axis thickness of the fifth lens L 5 is defined as d9, and the total optical length from the object side surface of the first lens L 1 to an image plane of the camera optical lens 10 along an optic axis is defined as TTL. The camera optical lens 10 should satisfy a condition of 0.03≤d9/TTL≤0.09. This can facilitate achieving ultra-thin lenses. As an example, 0.04≤d9/TTL≤0.08.
In an embodiment, the sixth lens L 6 includes an object side surface being convex in a paraxial region and an image side surface being concave in the paraxial region.
The focal length of the camera optical lens 10 is f, and the focal length of the sixth lens L 6 is f6. The camera optical lens 10 further satisfies a condition of 0.57≤f6/f≤1.87. The appropriate distribution of the refractive power leads to better imaging quality and a lower sensitivity. As an example, 0.91≤f6/f≤1.50.
A curvature radius of the object side surface of the sixth lens L 6 is defined as R11, and a curvature radius of the image side surface of the sixth lens L 6 is defined as R12. The camera optical lens 10 should satisfy a condition of −4.99≤(R11+R12)/(R11−R12)≤−1.16, which specifies a shape of the sixth lens L 6 . This can facilitate correction of an off-axis aberration with development towards ultra-thin, wide-angle lenses. As an example, −3.12≤(R11+R12)/(R11−R12)≤−1.45.
An on-axis thickness of the sixth lens L 6 is defined as d11, and the total optical length from the object side surface of the first lens L 1 to an image plane of the camera optical lens 10 along an optic axis is defined as TTL. The camera optical lens 10 should satisfy a condition of 0.04≤d11/TTL≤0.15. This can facilitate achieving ultra-thin lenses. As an example, 0.05≤d11/TTL≤0.12.
In an embodiment, the object side surface of the seventh lens L 7 is concave in a paraxial region and the image side surface of the seventh lens L 7 is concave in the paraxial region.
The focal length of the camera optical lens 10 is f, and the focal length of the seventh lens L 7 is f7. The camera optical lens 10 further satisfies a condition of −1.76≤f7/f≤−0.57. The appropriate distribution of the refractive power leads to better imaging quality and a lower sensitivity. As an example, −1.10≤f7/f≤−0.72.
A curvature radius of the object side surface of the seventh lens L 7 is defined as R13, and a curvature radius of the image side surface of the seventh lens L 7 is defined as R14. The camera optical lens 10 further satisfies a condition of 0.10≤(R13+R14)/(R13−R14)≤1.00, which specifies a shape of the seventh lens L 7 . This can facilitate correction of an off-axis aberration with development towards ultra-thin, wide-angle lenses. As an example, 0.16≤(R13+R14)/(R13−R14)≤0.80.
›Embodiment 1 · 3 of 4
An on-axis thickness of the seventh lens L 7 is defined as d13, and the total optical length from the object side surface of the first lens L 1 to an image plane of the camera optical lens 10 along an optic axis is defined as TTL. The camera optical lens 10 should satisfy a condition of 0.03≤d13/TTL≤0.13. This can facilitate achieving ultra-thin lenses. As an example, 0.05≤d13/TTL≤0.10.
In this embodiment, the total optical length TTL of the camera optical lens 10 is smaller than or equal to 8.75 mm, which is beneficial for achieving ultra-thin lenses. As an example, the total optical length TTL of the camera optical lens 10 is smaller than or equal to 8.35 mm.
In this embodiment, an F number of the camera optical lens 10 is smaller than or equal to 1.96. The camera optical lens 10 has a large aperture and better imaging performance. As an example, the F number of the camera optical lens 10 is smaller than or equal to 1.92.
The focal length of the camera optical lens is defines as f, and a combined focal length of the first lens L 1 and the second lens L 2 is defined as f12. The camera optical lens 10 should satisfy a condition of 0.50 f12/f2 2.00. This can eliminate aberration and distortion of the camera optical lens, suppress the back focal length of the camera optical lens, and maintain miniaturization of the camera lens system group. As an example, 0.60 f12/f 1.60.
With such design, the total optical length TTL of the camera optical lens 10 can be made as short as possible, and thus the miniaturization characteristics can be maintained.
When the above conditions are satisfied, the camera optical lens 10 will have high optical performance while satisfying design requirements for ultra-thin, wide-angle lenses having large apertures. With these characteristics, the camera optical lens 10 is especially suitable for high-pixel camera optical lens assembly of mobile phones and WEB camera optical lenses formed by imaging elements such as CCD and CMOS.
In the following, examples will be used to describe the camera optical lens 10 of the present invention. The symbols recorded in each example will be described as follows. The focal length, on-axis distance, curvature radius, on-axis thickness, inflexion point position, and arrest point position are all in units of mm.
TTL: Optical length (the total optical length from the object side surface of the first lens L 1 to the image plane of the camera optical lens along the optic axis) in mm.
F number (FNO): a ratio of an effective focal length of the camera optical lens to an entrance pupil diameter of the camera optical lens.
In an example, inflexion points and/or arrest points can be arranged on the object side surface and/or image side surface of the lens, so as to satisfy the demand for the high quality imaging. The description below can be referred to for specific implementations.
Table 1 and Table 2 show design data of the camera optical lens 10 according to Embodiment 1 of the present invention.
In the table, meanings of various symbols will be described as follows.
S1: aperture;
R: curvature radius of an optical surface, central curvature radius for a lens;
R1: curvature radius of the object side surface of the first lens L 1 ;
R2: curvature radius of the image side surface of the first lens L 1 ;
R3: curvature radius of the object side surface of the second lens L 2 ;
R4: curvature radius of the image side surface of the second lens L 2 ;
R5: curvature radius of the object side surface of the third lens L 3 ;
R6: curvature radius of the image side surface of the third lens L 3 ;
R7: curvature radius of the object side surface of the fourth lens L 4 ;
R8: curvature radius of the image side surface of the fourth lens L 4 ;
R9: curvature radius of the object side surface of the fifth lens L 5 ;
R10: curvature radius of the image side surface of the fifth lens L 5 ;
R11: curvature radius of the object side surface of the sixth lens L 6 ;
R12: curvature radius of the image side surface of the sixth lens L 6 ;
R13: curvature radius of the object side surface of the seventh lens L 7 ;
R14: curvature radius of the image side surface of the seventh lens L 7 ;
R15: curvature radius of an object side surface of the optical filter GF;
R16: curvature radius of an image side surface of the optical filter GF;
d: on-axis thickness of a lens and an on-axis distance between lenses;
d0: on-axis distance from the aperture S1 to the object side surface of the first lens L 1 ;
d1: on-axis thickness of the first lens L 1 ;
d2: on-axis distance from the image side surface of the first lens L 1 to the object side surface of the second lens L 2 ;
d3: on-axis thickness of the second lens L 2 ;
d4: on-axis distance from the image side surface of the second lens L 2 to the object side surface of the third lens L 3 ;
d5: on-axis thickness of the third lens L 3 ;
d6: on-axis distance from the image side surface of the third lens L 3 to the object side surface of the fourth lens L 4 ;
d7: on-axis thickness of the fourth lens L 4 ;
d8: on-axis distance from the image side surface of the fourth lens L 4 to the object side surface of the fifth lens L 5 ;
d9: on-axis thickness of the fifth lens L 5 ;
d10: on-axis distance from the image side surface of the fifth lens L 5 to the object side surface of the sixth lens L 6 ;
d11: on-axis thickness of the sixth lens L 6 ;
d12: on-axis distance from the image side surface of the sixth lens L 6 to the object side surface of the seventh lens L 7 ;
d13: on-axis thickness of the seventh lens L 7 ;
d14: on-axis distance from the image side surface of the seventh lens L 7 to the object side surface of the optical filter GF;
d15: on-axis thickness of the optical filter GF;
d16: on-axis distance from the image side surface of the optical filter GF to the image plane;
nd: refractive index of d line;
nd1: refractive index of d line of the first lens L 1 ;
nd2: refractive index of d line of the second lens L 2 ;
nd3: refractive index of d line of the third lens L 3 ;
nd4: refractive index of d line of the fourth lens L 4 ;
›Embodiment 1 · 4 of 4
nd5: refractive index of d line of the fifth lens L 5 ;
nd6: refractive index of d line of the sixth lens L 6 ;
nd7: refractive index of d line of the seventh lens L 7 ;
ndg: refractive index of d line of the optical filter GF;
vd: abbe number;
v1: abbe number of the first lens L 1 ;
v2: abbe number of the second lens L 2 ;
v3: abbe number of the third lens L 3 ;
v4: abbe number of the fourth lens L 4 ;
v5: abbe number of the fifth lens L 5 ;
v6: abbe number of the sixth lens L 6 ;
v7: abbe number of the seventh lens L 7
vg: abbe number of the optical filter GF.
Table 2 shows aspheric surface data of respective lens in the camera optical lens 10 according to Embodiment 1 of the present invention.
In Table 2, k is a conic coefficient, and A4, A6, A8, A10, A12, A14, A16, A18 and A20 are aspheric surface coefficients.
y =( x 2 /R )/[1+{1−( k+ 1)( x 2 /R 2 )} 1/2 ]+ A 4 x 4 +A 6 x 6 +A 8 x 8 +A 10 x 10 +A 12 x 12 +A 14 x 14 +A 16 x 16 +A 18 x 18 +A 20 x 20 (1)
where x is a vertical distance between a point on an aspherical curve and the optic axis, and y is an aspherical depth (a vertical distance between a point on an aspherical surface, having a distance of x from the optic axis, and a surface tangent to a vertex of the aspherical surface on the optic axis).
In an embodiment, an aspheric surface of each lens surface may use the aspheric surfaces shown in the above condition (1). However, the present invention is not limited to the aspherical polynomials form shown in the condition (1).
Table 3 and Table 4 show design data of inflexion points and arrest points of respective lens in the camera optical lens 10 according to Embodiment 1 of the present invention. P1R1 and P1R2 represent the object side surface and the image side surface of the first lens L 1 , respectively; P2R1 and P2R2 represent the object side surface and the image side surface of the second lens L 2 , respectively; P3R1 and P3R2 represent the object side surface and the image side surface of the third lens L 3 , respectively; P4R1 and P4R2 represent the object side surface and the image side surface of the fourth lens L 4 , respectively; P5R1 and P5R2 represent the object side surface and the image side surface of the fifth lens L 5 , respectively; P6R1 and P6R2 represent the object side surface and the image side surface of the sixth lens L 6 , respectively; and P7R1 and P7R2 represent the object side surface and the image side surface of the seventh lens L 7 , respectively. The data in the column “inflexion point position” refers to vertical distances from inflexion points arranged on each lens surface to the optic axis of the camera optical lens 10 . The data in the column “arrest point position” refers to vertical distances from arrest points arranged on each lens surface to the optic axis of the camera optical lens 10 .
FIG. 2 and FIG. 3 illustrate a longitudinal aberration and a lateral color of light with wavelengths of 470 nm, 555 nm and 650 nm after passing the camera optical lens 10 according to Embodiment 1. FIG. 4 illustrates a field curvature and a distortion of light with a wavelength of 555 nm after passing the camera optical lens 10 according to Embodiment 1, in which a field curvature S is a field curvature in a sagittal direction and T is a field curvature in a tangential direction.
Table 13 below further lists various values of Embodiments 1, 2 and 3 and values corresponding to parameters which are specified in the above conditions.
As shown in Table 13, Embodiment 1 satisfies the respective conditions.
In this embodiment, the entrance pupil diameter (ENPD) of the camera optical lens 10 is 3.727 mm. The image height of 1.0H is 6.016 mm. The FOV (field of view) along a diagonal direction is 81.29°. Thus, the camera optical lens can provide a large-aperture, ultra-thin, wide-angle lens while having on-axis and off-axis aberrations sufficiently corrected, thereby leading to better optical characteristics.
›Embodiment 2
Embodiment 2 is basically the same as Embodiment 1 and involves symbols having the same meanings as Embodiment 1. Only differences therebetween will be described in the following.
Table 5 and Table 6 show design data of a camera optical lens 20 in Embodiment 2 of the present invention.
Table 6 shows aspheric surface data of respective lenses in the camera optical lens 20 according to Embodiment 2 of the present invention.
Table 7 and Table 8 show design data of inflexion points and arrest points of respective lens in the camera optical lens 20 according to Embodiment 2 of the present invention.
FIG. 6 and FIG. 7 illustrate a longitudinal aberration and a lateral color of light with wavelengths of 470 nm, 555 nm and 650 nm after passing the camera optical lens 20 according to Embodiment 2. FIG. 8 illustrates a field curvature and a distortion of light with a wavelength of 555 nm after passing the camera optical lens 20 according to Embodiment 2.
As shown in Table 13, Embodiment 2 satisfies the respective conditions.
In this embodiment, the entrance pupil diameter (ENPD) of the camera optical lens 20 is 3.725 mm. The image height of 1.0H is 6.016 mm. The FOV (field of view) along a diagonal direction is 80.13°. Thus, the camera optical lens 20 can provide a large-aperture, ultra-thin, wide-angle lens while having on-axis and off-axis aberrations sufficiently corrected, thereby leading to better optical characteristics.
›Embodiment 3
Embodiment 3 is basically the same as Embodiment 1 and involves symbols having the same meanings as Embodiment 1. Only differences therebetween will be described in the following.
Table 9 and Table 10 show design data of a camera optical lens 30 in Embodiment 3 of the present invention.
Table 10 shows aspheric surface data of respective lenses in the camera optical lens 30 according to Embodiment 3 of the present invention.
Table 11 and Table 12 show design data of inflexion points and arrest points of respective lens in the camera optical lens 30 according to Embodiment 3 of the present invention.
FIG. 10 and FIG. 11 illustrate a longitudinal aberration and a lateral color of light with wavelengths of 470 nm, 555 nm and 650 nm after passing the camera optical lens 30 according to Embodiment 3. FIG. 12 illustrates field curvature and distortion of light with a wavelength of 555 nm after passing the camera optical lens 30 according to Embodiment 3.
Table 13 below further lists various values of the present embodiment and values corresponding to parameters which are specified in the above conditions. Obviously, the camera optical lens according to this embodiment satisfies the above conditions.
In this embodiment, the entrance pupil diameter (ENPD) of the camera optical lens 30 is 3.635 mm. The image height of 1.0H is 6.016 mm. The FOV (field of view) along a diagonal direction is 80.44°. Thus, the camera optical lens 30 can provide a large-aperture, ultra-thin, wide-angle lens while having on-axis and off-axis aberrations sufficiently corrected, thereby leading to better optical characteristics.
It can be appreciated by one having ordinary skill in the art that the description above is only embodiments of the present invention. In practice, one having ordinary skill in the art can make various modifications to these embodiments in forms and details without departing from the spirit and scope of the present invention.
›Tables in the description — 13
| R | d | nd | νd | ||||
| S1 | ∞ | d0 = | −0.781 | ||||
| R1 | 2.542 | d1 = | 0.943 | nd1 | 1.5450 | ν1 | 55.81 |
| R2 | 19.427 | d2 = | 0.040 | ||||
| R3 | 7.743 | d3 = | 0.240 | nd2 | 1.6700 | ν2 | 19.39 |
| R4 | 3.574 | d4 = | 0.491 | ||||
| R5 | 13.163 | d5 = | 0.294 | nd3 | 1.6700 | ν3 | 19.39 |
| R6 | 12.506 | d6 = | 0.312 | ||||
| R7 | 28.826 | d7 = | 0.637 | nd4 | 1.5450 | ν4 | 55.81 |
| R8 | −38.117 | d8 = | 0.678 | ||||
| R9 | 8.138 | d9 = | 0.497 | nd5 | 1.5661 | ν5 | 37.71 |
| R10 | 4.699 | d10 = | 0.338 | ||||
| R11 | 3.195 | d11 = | 0.749 | nd6 | 1.5450 | ν6 | 55.81 |
| R12 | 11.811 | d12 = | 0.945 | ||||
| R13 | −19.208 | d13 = | 0.629 | nd7 | 1.5346 | ν7 | 55.69 |
| R14 | 3.880 | d14 = | 0.305 | ||||
| R15 | ∞ | d15 = | 0.210 | ndg | 1.5163 | νg | 64.14 |
| R16 | ∞ | d16 = | 0.589 |
| coefficient | Aspherical coefficient | |||||
| k | A4 | A6 | A8 | A10 | A12 | |
| R1 | 0.0000E+00 | 9.4223E−04 | −3.9582E−04 | 1.1292E−03 | −9.5379E−04 | 4.3039E−01 |
| R2 | 0.0000E+00 | 4.4810E−02 | −9.0681E−02 | 1.2562E−01 | −1.1770E−01 | 7.3667E−02 |
| R3 | 0.0000E+00 | 4.5844E−02 | −9.4398E−02 | 1.3861E−01 | −1.3987E−01 | 9.5457E−02 |
| R4 | 0.0000E+00 | 1.8193E−02 | −3.0128E−02 | 6.1171E−02 | −8.1020E−02 | 7.1723E−02 |
| R5 | 0.0000E+00 | −1.4138E−02 | 1.1628E−02 | −3.2810E−02 | 5.1237E−02 | −4.8410E−02 |
| R6 | 0.0000E+00 | −1.9355E−02 | 1.0718E−02 | −2.2779E−02 | 2.8694E−02 | −2.2536E−02 |
| R7 | 0.0000E+00 | −1.9369E−02 | 1.7978E−03 | −6.6621E−03 | 7.1283E−03 | −6.0537E−03 |
| R8 | 0.0000E+00 | −2.0900E−02 | 4.6668E−03 | −6.5382E−03 | 4.1638E−03 | −1.9864E−03 |
| R9 | 0.0000E+00 | −4.0410E−02 | 2.1508E−02 | −9.5651E−03 | 2.3194E−03 | −2.1261E−01 |
| R10 | 0.0000E+00 | −7.3277E−02 | 3.1265E−02 | −1.0601E−02 | 2.4544E−03 | −3.6755E−04 |
| R11 | −1.0000E+00 | −3.1056E−02 | 2.4798E−03 | 2.1627E−04 | −3.2338E−04 | 7.1426E−05 |
| R12 | 0.0000E+00 | 1.1379E−02 | −9.2632E−03 | 2.6598E−03 | −5.9169E−04 | 8.9872E−05 |
| R13 | 0.0000E+00 | −5.2761E−02 | 8.7896E−03 | −6.9672E−04 | 3.5256E−05 | −1.4584E−06 |
| R11 | −4.1710E−01 | −5.4125E−02 | 1.1237E−02 | −2.0544E−03 | 2.7619E−04 | −2.4863E−05 |
| Conic | ||||||
| coefficient | Aspherical coefficient | |||||
| k | A14 | A16 | A18 | A20 | ||
| R1 | 0.0000E+00 | −9.9806E−05 | 9.5466E−06 | 0.0000E+00 | 0.0000E+00 | |
| R2 | 0.0000E+00 | −3.0115E−02 | 7.6957E−03 | −1.1138E−03 | 6.9622E−05 | |
| R3 | 0.0000E+00 | −4.2711E−02 | 1.1967E−02 | −1.9011E−03 | 1.3045E−04 | |
| R1 | 0.0000E+00 | −4.0629E−02 | 1.4170E−02 | −2.7566E−03 | 2.2799E−04 | |
| R5 | 0.0000E+00 | 2.8662E−02 | −1.0368E−02 | 2.1170E−03 | −1.8761E−04 | |
| R6 | 0.0000E+00 | 1.1453E−02 | −3.6625E−03 | 6.8926E−04 | −5.8503E−05 | |
| R7 | 0.0000E+00 | 3.5636E−03 | −1.3196E−03 | 2.7418E−04 | −2.3676E−05 | |
| R8 | 0.0000E+00 | 6.6244E−04 | −1.4423E−01 | 1.8304E−05 | −1.0187E−06 | |
| R9 | 0.0000E+00 | −4.9033E−05 | 1.7641E−05 | −2.1557E−06 | 9.9912E−08 | |
| R10 | 0.0000E+00 | 3.4261E−05 | −1.8647E−06 | 5.1451E−08 | −4.8396E−10 | |
| R11 | −1.0000E+00 | −3.9596E−06 | −4.5039E−07 | 6.2935E−08 | −2.0870E−09 | |
| R12 | 0.0000E+00 | −8.3959E−06 | 4.5317E−07 | −1.2767E−08 | 1.4176E−10 | |
| R13 | 0.0000E+00 | 5.4776E−06 | −1.4992E−09 | 2.1803E−11 | −1.0561E−13 | |
| R11 | −4.1710E−01 | 1.4308E−06 | −5.0327E−08 | 9.8503E−10 | −8.2268E−12 |
| Number of | Inflexion point | Inflexion point | Inflexion point | |
|---|---|---|---|---|
| inflexion points | position 1 | position 2 | position 3 | |
| P1R1 | 0 | / | / | / |
| P1R2 | 0 | / | / | / |
| P2R1 | 0 | / | / | / |
| P2R2 | 0 | / | / | / |
| P3R1 | 2 | 0.725 | 1.235 | / |
| P3R2 | 3 | 0.635 | 1.305 | 1.705 |
| P4R1 | 2 | 0.395 | 1.625 | / |
| P4R2 | 0 | / | / | / |
| P5R1 | 2 | 0.655 | 2.445 | / |
| P5R2 | 1 | 0.605 | / | / |
| P6R1 | 1 | 1.015 | / | / |
| P6R2 | 1 | 1.165 | / | / |
| P7R1 | 1 | 2.235 | / | / |
| P7R2 | 1 | 0.735 | / | / |
| Number of | Arrest point | Arrest point | Arrest point | |
|---|---|---|---|---|
| arrest points | position 1 | position 2 | position 3 | |
| P1R1 | 0 | / | / | / |
| P1R2 | 0 | / | / | / |
| P2R1 | 0 | / | / | / |
| P2R2 | 0 | / | / | / |
| P3R1 | 0 | / | / | / |
| P3R2 | 3 | 1.125 | 1.415 | 1.775 |
| P4R1 | 1 | 0.665 | / | / |
| P4R2 | 0 | / | / | / |
| P5R1 | 1 | 1.285 | / | / |
| P5R2 | 1 | 1.315 | / | / |
| P6R1 | 1 | 1.785 | / | / |
| P6R2 | 1 | 1.775 | / | / |
| P7R1 | 0 | / | / | / |
| P7R2 | 1 | 1.465 | / | / |
| R | d | nd | νd | ||||
| S1 | ∞ | d0 = | −0.729 | ||||
| R1 | 2.554 | d1 = | 0.974 | nd1 | 1.5450 | ν1 | 55.81 |
| R2 | 28.656 | d2 = | 0.052 | ||||
| R3 | 14.046 | d3 = | 0.240 | nd2 | 1.6700 | ν2 | 19.39 |
| R4 | 4.614 | d4 = | 0.531 | ||||
| R5 | 44.957 | d5 = | 0.368 | nd3 | 1.6700 | ν3 | 19.39 |
| R6 | 32.773 | d6 = | 0.291 | ||||
| R7 | 71.844 | d7 = | 0.638 | nd4 | 1.5450 | ν4 | 55.81 |
| R8 | −22.299 | d8 = | 0.636 | ||||
| R9 | 9.812 | d9 = | 0.426 | nd5 | 1.5661 | ν5 | 37.71 |
| R10 | 5.038 | d10 = | 0.327 | ||||
| R11 | 2.892 | d11 = | 0.693 | nd6 | 1.5450 | ν6 | 55.81 |
| R12 | 6.762 | d12 = | 1.041 | ||||
| R13 | −13.872 | d13 = | 0.683 | nd7 | 1.5346 | ν7 | 55.69 |
| R14 | 4.267 | d14 = | 0.305 | ||||
| R15 | ∞ | d15 = | 0.210 | ndg | 1.5163 | νg | 64.14 |
| R16 | ∞ | d16 = | 0.534 |
| coefficient | Aspherical coefficient | |||||
| k | A4 | A6 | A8 | A10 | A12 | |
| R1 | 0.0000E+00 | −1.2378E−03 | 7.9207E−03 | −1.4822E−02 | 1.7028E−02 | −1.1935E−02 |
| R2 | 0.0000E+00 | 3.2708E−02 | −5.2399E−02 | 6.3295E−02 | −5.3765E−02 | 3.1207E−02 |
| R3 | 0.0000E+00 | 4.2094E−02 | −7.4944E−02 | 1.0731E−01 | −1.0836E−01 | 7.4546E−02 |
| R4 | 0.0000E+00 | 2.1727E−02 | −3.5277E−02 | 6.5561E−02 | −8.0371E−02 | 6.4533E−02 |
| R5 | 0.0000E+00 | −1.4637E−02 | 2.0361E−02 | −6.7233E−02 | 1.1002E−01 | −1.0703E−01 |
| R6 | 0.0000E+00 | −1.5023E−02 | 2.8603E−03 | −1.1798E−02 | 1.4926E−02 | −1.0763E−02 |
| R7 | 0.0000E+00 | −1.7090E−02 | 4.3280E−03 | −2.3321E−02 | 3.2010E−02 | −2.6689E−02 |
| R8 | 0.0000E+00 | −1.6733E−02 | 3.1368E−05 | −3.3962E−03 | 2.1380E−03 | −1.0129E−03 |
| R9 | 0.0000E+00 | −3.8877E−02 | 2.3917E−02 | −1.2520E−02 | 3.8434E−03 | −7.2284E−04 |
| R10 | 0.0000E+00 | −7.9459E−02 | 3.9545E−02 | −1.4784E−02 | 3.6610E−03 | −5.8660E−04 |
| R11 | −1.0000E+00 | −4.2781E−02 | 4.6646E−03 | 6.0470E−04 | −7.6773E−04 | 2.2836E−04 |
| R12 | 0.0000E+00 | 3.2864E−03 | −1.0262E−02 | 3.7540E−03 | −9.4082E−04 | 1.5523E−01 |
| R13 | 0.0000E+00 | −4.9155E−02 | 9.4557E−03 | −1.2504E−03 | 1.4540E−01 | −1.2567E−05 |
| R14 | −2.8671E−01 | −5.1834E−02 | 1.1579E−02 | −2.2589E−03 | 3.1124E−04 | −2.8061E−05 |
| Conic | ||||||
| coefficient | Aspherical coefficient | |||||
| k | A14 | A16 | A18 | A20 | ||
| R1 | 0.0000E+00 | 5.1652E−03 | −1.3428E−03 | 1.9169E−01 | −1.1486E−05 | |
| R2 | 0.0000E+00 | −1.1928E−02 | 2.8491E−03 | −3.8238E−01 | 2.1824E−05 | |
| R3 | 0.0000E+00 | −3.3578E−02 | 9.4312E−03 | −1.4918E−03 | 1.0091E−01 | |
| R4 | 0.0000E+00 | −3.2434E−02 | 9.7146E−03 | −1.5362E−03 | 9.2954E−05 | |
| R5 | 0.0000E+00 | 6.4585E−02 | −2.3657E−02 | 4.8436E−03 | 4.2631E−01 | |
| R6 | 0.0000E+00 | 5.2643E−03 | −1.7337E−03 | 3.6092E−04 | −3.4697E−05 | |
| R7 | 0.0000E+00 | 1.3871E−02 | −4.3863E−03 | 7.7359E−04 | −5.7784E−05 | |
| R8 | 0.0000E+00 | 3.5658E−04 | −8.4553E−05 | 1.1711E−05 | −6.9646E−07 | |
| R9 | 0.0000E+00 | 6.0553E−05 | 3.7662E−06 | −1.2370E−06 | 7.6207E−08 | |
| R10 | 0.0000E+00 | 5.9889E−05 | −3.7400E−06 | 1.2934E−07 | −1.8823E−09 | |
| R11 | −1.0000E+00 | −3.2635E−05 | 2.4023E−05 | −8.3607E−08 | 9.6144E−10 | |
| R12 | 0.0000E+00 | −1.5903E−03 | 9.6406E−07 | −3.1533E−08 | 4.2746E−10 | |
| R15 | 0.0000E+00 | 7.0350E−07 | −2.3776E−08 | 4.4112E−10 | −3.4553E−12 | |
| R14 | −2.8671E−01 | 1.5997E−06 | −5.5363E−08 | 1.0591E−09 | −8.5761E−12 |
| Number of | Inflexion | Inflexion | Inflexion | Inflexion | |
|---|---|---|---|---|---|
| inflexion | point | point | point | point | |
| points | position 1 | position 2 | position 3 | position 4 | |
| P1R1 | 0 | / | / | / | / |
| P1R2 | 0 | / | / | / | / |
| P2R1 | 1 | 1.695 | / | / | / |
| P2R2 | 0 | / | / | / | / |
| P3R1 | 2 | 0.405 | 1.305 | / | / |
| P3R2 | 3 | 0.415 | 1.325 | 1.735 | / |
| P4R1 | 2 | 0.265 | 1.625 | / | / |
| P4R2 | 0 | / | / | / | / |
| P5R1 | 2 | 0.605 | 2.425 | / | / |
| P5R2 | 4 | 0.555 | 2.775 | 2.875 | 3.265 |
| P6R1 | 1 | 0.935 | / | / | / |
| P6R2 | 1 | 1.075 | / | / | / |
| P7R1 | 1 | 2.335 | / | / | / |
| P7R2 | 2 | 0.715 | 4.595 | / | / |
| Number of | Arrest point | Arrest point | Arrest point | |
|---|---|---|---|---|
| arrest points | position 1 | position 2 | position 3 | |
| P1R1 | 0 | / | / | / |
| P1R2 | 0 | / | / | / |
| P2R1 | 0 | / | / | / |
| P2R2 | 0 | / | / | / |
| P3R1 | 2 | 0.665 | 1.515 | / |
| P3R2 | 3 | 0.695 | 1.515 | 1.805 |
| P4R1 | 1 | 0.455 | / | / |
| P4R2 | 0 | / | / | / |
| P5R1 | 2 | 1.175 | 2.595 | / |
| P5R2 | 1 | 1.245 | / | / |
| P6R1 | 1 | 1.735 | / | / |
| P6R2 | 1 | 1.765 | / | / |
| P7R1 | 0 | / | / | / |
| P7R2 | 1 | 1.435 | / | / |
| R | d | nd | νd | ||||
| S1 | ∞ | d0 = | −0.745 | ||||
| R1 | 2.564 | d1 = | 1.065 | nd1 | 1.5450 | ν1 | 55.81 |
| R2 | 54.114 | d2 = | 0.054 | ||||
| R3 | 20.378 | d3 = | 0.282 | nd2 | 1.6700 | ν2 | 19.39 |
| R4 | 4.593 | d4 = | 0.443 | ||||
| R5 | 37.970 | d5 = | 0.366 | nd3 | 1.6700 | ν3 | 19.39 |
| R6 | 35.556 | d6 = | 0.276 | ||||
| R7 | 39.869 | d7 = | 0.657 | nd4 | 1.5450 | ν4 | 55.81 |
| R8 | −25.382 | d8 = | 0.630 | ||||
| R9 | 11.112 | d9 = | 0.400 | nd5 | 1.5661 | ν5 | 37.71 |
| R10 | 5.063 | d10 = | 0.353 | ||||
| R11 | 2.907 | d11 = | 0.767 | nd6 | 1.5450 | ν6 | 55.81 |
| R12 | 7.155 | d12 = | 0.187 | ||||
| R13 | −8.301 | d13 = | 0.501 | nd7 | 1.5346 | ν7 | 55.69 |
| R14 | 5.464 | d14 = | 0.305 | ||||
| R15 | ∞ | d15 = | 0.210 | ndg | 1.5163 | νg | 64.14 |
| R16 | ∞ | d16 = | 0.422 |
| coefficient | Aspherical coefficient | |||||
| k | A4 | A6 | A8 | A10 | A12 | |
| R1 | 0.0000E+00 | −3.5078E−03 | 1.5472E−02 | −2.8742E−02 | 3.2311E−02 | −2.2433E−02 |
| R2 | 0.0000E+00 | 3.9191E−02 | −6.9049E−02 | 8.6917E−02 | −7.4571E−02 | 4.3212E−02 |
| R3 | 0.0000E+00 | 4.2444E−02 | −7.9179E−02 | 1.0603E−01 | −9.6779E−02 | 6.0264E−02 |
| R4 | 0.0000E+00 | 1.9524E−02 | −3.0372E−02 | 4.2054E−02 | −3.1012E−02 | 8.9482E−03 |
| R5 | 0.0000E+00 | −1.2149E−02 | 2.1874E−02 | −8.4613E−02 | 1.4846E−01 | −1.5137E−01 |
| R6 | 0.0000E+00 | −1.8943E−02 | 1.9707E−02 | −4.9712E−02 | 6.2876E−02 | −4.7489E−02 |
| R7 | 0.0000E+00 | −1.6475E−02 | 1.7042E−03 | −1.9342E−02 | 2.7312E−02 | −2.2411E−02 |
| R8 | 0.0000E+00 | −1.3873E−02 | −1.1464E−03 | 4.0314E−03 | 3.3561E−03 | −1.7121E−03 |
| R9 | 0.0000E+00 | −3.7064E−02 | 2.2222E−02 | −1.1653E−02 | 3.7321E−03 | −8.0852E−04 |
| R10 | 0.0000E+00 | −7.8732E−02 | 3.8793E−02 | −1.4460E−02 | 3.5724E−03 | −5.6641E−04 |
| R11 | −1.0000E+00 | −4.1972E−02 | 3.4784E−03 | 1.0536E−03 | −8.2468E−04 | 2.2203E−04 |
| R12 | 0.0000E+00 | 4.1878E−03 | −1.1528E−02 | 4.2566E−03 | −1.0393E−03 | 1.6393E−04 |
| R13 | 0.0000E+00 | −4.5948E−02 | 7.9222E−03 | −8.2842E−04 | 7.8736E−05 | −6.1058E−06 |
| R14 | −8.1501E−02 | −1.8705E−02 | 1.0513E−02 | −2.0276E−03 | 2.8880E−04 | −2.7128E−05 |
| Conic | ||||||
| coefficient | Aspherical coefficient | |||||
| k | A14 | A16 | A18 | A20 | ||
| R1 | 0.0000E+00 | 9.7071E−03 | −2.5455E−03 | 3.6974E−04 | −2.2801E−05 | |
| R2 | 0.0000E+00 | −1.6446E−02 | 3.8942E−03 | −5.1204E−04 | 2.7877E−05 | |
| R3 | 0.0000E+00 | −2.4819E−02 | 6.4142E−03 | −9.3154E−01 | 5.6984E−05 | |
| R4 | 0.0000E+00 | 4.3294E−03 | −4.6424E−03 | 1.5390E−03 | −1.8584E−04 | |
| R5 | 0.0000E+00 | 9.4764E−02 | −3.5819E−02 | 7.5255E−03 | −6.7493E−04 | |
| R6 | 0.0000E+00 | 2.2772E−02 | −6.8196E−03 | 1.1840E−03 | −9.1560E−05 | |
| R7 | 0.0000E+00 | 1.1349E−02 | −3.4813E−03 | 5.9377E−04 | −4.2877E−05 | |
| R8 | 0.0000E+00 | 5.6577E−04 | −1.1737E−04 | 1.3819E−05 | −6.9892E−07 | |
| R9 | 0.0000E+00 | 1.0687E−04 | −5.8558E−06 | −3.2145E−07 | 4.3653E−08 | |
| R10 | 0.0000E+00 | 5.6497E−05 | −3.3880E−06 | 1.0970E−07 | −1.4321E−09 | |
| R11 | −1.0000E+00 | −2.9911E−05 | 2.0848E−06 | −6.7438E−08 | 6.5970E−10 | |
| R12 | 0.0000E+00 | −1.5947E−05 | 9.1487E−07 | −2.8221E−08 | 3.5894E−10 | |
| R13 | 0.0000E+00 | 3.1723E−07 | −9.9432E−09 | 1.6937E−10 | −1.2053E−12 | |
| R14 | −8.1501E−02 | 1.6011E−06 | −5.6974E−08 | 1.1171E−09 | −9.2748E−12 |
| Number of | Inflexion | Inflexion | Inflexion | Inflexion | |
|---|---|---|---|---|---|
| inflexion | point | point | point | point | |
| points | position 1 | position 2 | position 3 | position 4 | |
| P1R1 | 0 | / | / | / | / |
| P1R2 | 1 | 1.665 | / | / | / |
| P2R1 | 1 | 1.635 | / | / | / |
| P2R2 | 0 | / | / | / | / |
| P3R1 | 2 | 0.465 | 1.275 | / | / |
| P3R2 | 3 | 0.395 | 1.325 | 1.715 | / |
| P4R1 | 2 | 0.355 | 1.665 | / | / |
| P4R2 | 0 | / | / | / | / |
| P5R1 | 2 | 0.565 | 2.425 | / | / |
| P5R2 | 4 | 0.555 | 2.705 | 2.936 | 3.195 |
| P6R1 | 3 | 0.925 | 3.045 | 3.165 | / |
| P6R2 | 1 | 1.035 | / | / | / |
| P7R1 | 1 | 2.345 | / | / | / |
| P7R2 | 1 | 0.625 | / | / | / |
| Arrest | Arrest | Arrest | Arrest | ||
|---|---|---|---|---|---|
| Number of | point | point | point | point | |
| arrest points | position 1 | position 2 | position 3 | position 4 | |
| P1R1 | 0 | / | / | / | / |
| P1R2 | 1 | 1.665 | / | / | / |
| P2R1 | 1 | 1.635 | / | / | / |
| P2R2 | 0 | / | / | / | / |
| P3R1 | 2 | 0.465 | 1.275 | / | / |
| P3R2 | 3 | 0.395 | 1.325 | 1.715 | / |
| P4R1 | 2 | 0.355 | 1.665 | / | / |
| P4R2 | 0 | / | / | / | / |
| P5R1 | 2 | 0.565 | 2.425 | / | / |
| P5R2 | 4 | 0.555 | 2.705 | 2.936 | 3.196 |
| P6R1 | 3 | 0.925 | 3.045 | 3.165 | / |
| P6R2 | 1 | 1.035 | / | / | / |
| P7R1 | 1 | 2.345 | / | / | / |
| P7R2 | 1 | 0.625 | / | / | / |
| Conditions | Embodiment 1 | Embodiment 2 | Embodiment 3 |
|---|---|---|---|
| R7/R5 | 2.19 | 1.60 | 1.05 |
| R13/R14 | −4.95 | −3.25 | −1.52 |
| R3/R1 | 3.05 | 5.50 | 7.95 |
| f | 6.821 | 6.966 | 6.906 |
| f1 | 5.246 | 5.061 | 4.888 |
| f2 | −10.049 | −10.266 | −8.832 |
| f3 | −452.670 | −131.047 | −880.701 |
| f4 | 30.121 | 31.199 | 28.466 |
| f5 | −20.631 | −18.810 | −16.750 |
| f6 | 7.770 | 8.692 | 8.419 |
| f7 | −5.962 | −6.006 | −6.066 |
| f12 | 9.084 | 8.442 | 8.749 |
| FNO | 1.83 | 1.87 | 1.90 |
| TTL | 7.898 | 7.951 | 7.916 |
| IH | 6.016 | 6.016 | 6.016 |
| FOV | 81.29* | 80.13* | 80.44* |
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