Camera optical lens
Granted 10 Sep 2019 · 1 office action
Current assignee: AAC Optics Solutions Pte. Ltd. · originally AAC Technologies Holdings Inc.
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Attorney: Attorney · Log in to unlock
Inventors: Lei Zhang, Hiroyuki Teraoka, Dan Zhang, Yanmei Wang · Examiner: Jordan M Schwartz · AU 2872 · TC 2800
Life of the application
11 dated eventsAbstract
The present disclosure discloses a camera optical lens. The camera optical lens including, in an order from an object side to an image side, a first lens, a second lens, a third lens, a fourth lens, a fifth lens, and a sixth lens. The first lens is made of plastic material, the second lens is made of plastic material, the third lens is made of plastic material, the fourth lens is made of plastic material, the fifth lens is made of glass material, and the sixth lens is made of glass material. The camera optical lens further satisfies specific conditions.
Description
11 parts›CROSS-REFERENCE TO RELATED APPLICATIONS
This application claims the priority benefit of Chinese Patent Application Ser. No. 201711151209.8 and Ser. No. 201711151210.0 filed on Nov. 18, 2017, the entire content of which is incorporated herein by reference.
›FIELD OF THE PRESENT DISCLOSURE
The present disclosure relates to optical lens, in particular to a camera optical lens suitable for handheld devices such as smart phones and digital cameras and imaging devices.
›DESCRIPTION OF RELATED ART
With the emergence of smart phones in recent years, the demand for miniature camera lens is increasing day by day, but the photosensitive devices of general camera lens are no other than Charge Coupled Device (CCD) or Complementary metal-Oxide Semiconductor Sensor (CMOS sensor), and as the progress of the semiconductor manufacturing technology makes the pixel size of the photosensitive devices shrink, coupled with the current development trend of electronic products being that their functions should be better and their shape should be thin and small, miniature camera lens with good imaging quality therefor has 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. And, with the development of technology and the increase of the diverse demands of users, and under this circumstances that the pixel area of photosensitive devices is shrinking steadily and the requirement of the system for the imaging quality is improving constantly, the five-piece, six-piece and seven-piece lens structure gradually appear in lens design. There is an urgent need for ultra-thin wide-angle camera lenses which have good optical characteristics and the chromatic aberration of which is fully corrected.
›BRIEF DESCRIPTION OF THE DRAWINGS
Many aspects of the exemplary embodiments can be better understood with reference to the following drawings. The components in the drawing are not necessarily drawn to scale, the emphasis instead being placed upon clearly illustrating the principles of the present disclosure.
FIG. 1 is a schematic diagram of a camera optical lens in accordance with a first embodiment of the present invention;
FIG. 2 shows the longitudinal aberration of the camera optical lens shown in FIG. 1 ;
FIG. 3 shows the lateral color of the camera optical lens shown in FIG. 1 ;
FIG. 4 presents a schematic diagram of the field curvature and distortion of the camera optical lens shown in FIG. 1 ;
FIG. 5 is a schematic diagram of a camera optical lens in accordance with a second embodiment of the present invention;
FIG. 6 presents the longitudinal aberration of the camera optical lens shown in FIG. 5 ;
FIG. 7 presents the lateral color of the camera optical lens shown in FIG. 5 ;
FIG. 8 presents the field curvature and distortion of the camera optical lens shown in FIG. 5 ;
FIG. 9 is a schematic diagram of a camera optical lens in accordance with a third embodiment of the present invention;
FIG. 10 presents the longitudinal aberration of the camera optical lens shown in FIG. 9 ;
FIG. 11 presents the lateral color of the camera optical lens shown in FIG. 9 ;
FIG. 12 presents the field curvature and distortion of the camera optical lens shown in FIG. 9 .
›DETAILED DESCRIPTION OF THE EXEMPLARY EMBODIMENTS
The present disclosure 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 disclosure more apparent, the present disclosure 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
As referring to FIG. 1 , the present invention provides a camera optical lens 10 . FIG. 1 shows the camera optical lens 10 of embodiment 1 of the present invention, the camera optical lens 10 comprises 6 lenses. Specifically, from the object side to the image side, the camera optical lens 10 comprises in sequence: 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 , and a sixth lens L 6 . Optical element like optical filter GF can be arranged between the sixth lens L 6 and the image surface Si. The first lens L 1 is made of plastic material, the second lens L 2 is made of plastic material, the third lens L 3 is made of plastic material, the fourth lens L 4 is made of plastic material, the fifth lens L 5 is made of glass material, and the sixth lens L 6 is made of glass material.
Here, the focal length of the whole camera optical lens 10 is defined as f, the focal length of the first lens is defined as f1. The camera optical lens further satisfies the following condition: 0.5≤f1/f≤10. Condition 0.5≤f1/f≤10 fixes the positive refractive power of the first lens L 1 . If the upper limit of the set value is exceeded, although it benefits the ultra-thin development of lenses, but the positive refractive power of the first lens L 1 will be too strong, problem like aberration is difficult to be corrected, and it is also unfavorable for wide-angle development of lens. On the contrary, if the lower limit of the set value is exceeded, the positive refractive power of the first lens L 1 becomes too weak, it is then difficult to develop ultra-thin lenses. Preferably, the following condition shall be satisfied, 0.66≤f1/f≤2.7.
The refractive power of the fifth lens L 5 is defined as n5. Here the following condition should satisfied: 1.7≤n5≤2.2. This condition fixes the refractive power of the fifth lens L 5 , and refractive power within this range benefits the ultra-thin development of lenses, and it also benefits the correction of aberration. Preferably, the following condition shall be satisfied, 1.71≤n5≤1.97.
The refractive power of the sixth lens L 6 is defined as n6. Here the following condition should satisfied: 1.7≤n6≤2.2. This condition fixes the refractive power of the sixth lens L 6 , and refractive power within this range benefits the ultra-thin development of lenses, and it also benefits the correction of aberration. Preferably, the following condition shall be satisfied, 1.71≤n6≤1.97.
The thickness on-axis of the fifth lens L 5 is defined as d9, and the total optical length of the camera optical lens 10 is defined as TTL. The following condition: 0.01≤d9/TTL≤0.09 should be satisfied. This condition fixes the ratio between the thickness on-axis of the fifth lens L 5 and the total optical length TTL. When the condition is satisfied, it is beneficial for realization of the ultra-thin lens. Preferably, the condition 0.05≤d9/TTL≤0.085 shall be satisfied.
In this embodiment, the first lens L 1 has a positive refractive power with a convex object side surface relative to the proximal axis and a concave image side surface relative to the proximal axis.
The curvature radius of the object side surface of the first lens L 1 is defined as R1, the curvature radius of the image side surface of the first lens L 1 is defined as R2. The camera optical lens 10 further satisfies the following condition: −2.79≤(R1+R2)/(R1−R2)≤−0.93, which fixes the shape of the first lens L 1 , when the value is beyond this range, with the development into the direction of ultra-thin and wide-angle lenses, problem like aberration of the off-axis picture angle is difficult to be corrected. Preferably, the condition −1.75≤(R1+R2)/(R1−R2)≤−1.16 shall be satisfied.
The thickness on-axis of the first lens L 1 is defined as d1. The following condition: 0.30≤d1≤0.89 should be satisfied. When the condition is satisfied, it is beneficial for realization of the ultra-thin lens. Preferably, the condition 0.47≤d1≤0.71 shall be satisfied.
In this embodiment, the second lens L 2 has a negative refractive power with a convex object side surface and a concave image side surface relative to the proximal axis.
The focal length of the whole camera optical lens 10 is f, the focal length of the second lens L 2 is f2. The following condition should be satisfied: −3.88≤f2/f≤−1.29. When the condition is satisfied, the negative refractive power of the second lens L 2 is controlled within reasonable scope, the spherical aberration caused by the first lens L 1 which has positive refractive power and the field curvature of the system then can be reasonably and effectively balanced. Preferably, the condition −2.43≤f2/f≤−1.61 should be satisfied.
The curvature radius of the object side surface of the second lens L 2 is defined as R3, the curvature radius of the image side surface of the second lens L 2 is defined as R4. The following condition should be satisfied: 1.37≤(R3+R4)/(R3−R4)≤4.12, which fixes the shape of the second lens L 2 and can effectively correct aberration of the camera optical lens. Preferably, the following condition shall be satisfied, 2.19≤(R3+R4)/(R3−R4)≤3.29.
The thickness on-axis of the second lens L 2 is defined as d3. The following condition: 0.13≤d3≤0.41 should be satisfied. When the condition is satisfied, it is beneficial for realization of the ultra-thin lens. Preferably, the condition 0.22≤d3≤0.32 shall be satisfied.
In this embodiment, the third lens L 3 has a positive refractive power with a concave object side surface and a convex image side surface relative to the proximal axis.
The focal length of the whole camera optical lens 10 is f, the focal length of the third lens L 3 is f3. The following condition should be satisfied: 1.24≤f3/f≤3.77, by which the field curvature of the system then can be reasonably and effectively balanced. Preferably, the condition 1.98≤f3/f≤3.01 should be satisfied.
The curvature radius of the object side surface of the third lens L 3 is defined as R5, the curvature radius of the image side surface of the third lens L 3 is defined as R6. The following condition should be satisfied: 0.51≤(R5+R6)/(R5−R6)≤1.56, which is beneficial for the shaping of the third lens L 3 , and bad shaping and stress generation due to extra large curvature of surface of the third lens L 3 can be avoided. Preferably, the following condition shall be satisfied, 0.82≤(R5+R6)/(R5−R6)≤1.25.
›Embodiment 1 · 2 of 4
The thickness on-axis of the third lens L 3 is defined as d5. The following condition: 0.27≤d5≤0.8 should be satisfied. When the condition is satisfied, it is beneficial for realization of the ultra-thin lens. Preferably, the condition 0.42≤d5≤0.64 shall be satisfied.
In this embodiment, the fourth lens L 4 has a negative refractive power with a concave object side surface and a convex image side surface relative to the proximal axis.
The focal length of the whole camera optical lens 10 is f, the focal length of the fourth lens L 4 is f4. The following condition should be satisfied: −4.51≤f4/f≤−1.4, which can effectively reduce the sensitivity of lens group used in camera and further enhance the imaging quality. Preferably, the condition −2.82≤f4/f≤−1.75 should be satisfied.
The curvature radius of the object side surface of the fourth lens L 4 is defined as R7, the curvature radius of the image side surface of the fourth lens L 4 is defined as R8. The following condition should be satisfied: −4.44≤(R7+R8)/(R7−R8)≤−1.4, by which, with the development into the direction of ultra-thin and wide-angle lenses, problem like aberration of the off-axis picture angle is difficult to be corrected. Preferably, the following condition shall be satisfied, −2.77≤(R7+R8)/(R7−R8)≤−1.75.
The thickness on-axis of the fourth lens L 4 is defined as d7. The following condition: 0.21≤d7≤0.63 should be satisfied. When the condition is satisfied, it is beneficial for realization of the ultra-thin lens. Preferably, the condition 0.33≤d7≤0.50 shall be satisfied.
In this embodiment, the fifth lens L 5 has a positive refractive power with a convex object side surface and a convex image side surface relative to the proximal axis.
The focal length of the whole camera optical lens 10 is f, the focal length of the fifth lens L 5 is f5. The following condition should be satisfied: 0.47≤f5/f≤1.43, which can effectively smooth the light angles of the camera and reduce the tolerance sensitivity. Preferably, the condition 0.75≤f5/f≤1.14 should be satisfied.
The curvature radius of the object side surface of the fifth lens L 5 is defined as R9, the curvature radius of the image side surface of the fifth lens L 5 is defined as R10. The following condition should be satisfied: −1.89≤(R9+R10)/(R9−R10)≤−0.6, by which, the shape of the fifth lens L 5 is fixed, further, with the development into the direction of ultra-thin and wide-angle lenses, problem like aberration of the off-axis picture angle is difficult to be corrected. Preferably, the following condition shall be satisfied, −1.18≤(R9+R10)/(R9−R10)≤−0.75.
The thickness on-axis of the fifth lens L 5 is defined as d9. The following condition: 0.22≤d9≤0.66 should be satisfied. When the condition is satisfied, it is beneficial for realization of the ultra-thin lens. Preferably, the condition 0.35≤d9≤0.53 shall be satisfied.
In this embodiment, the sixth lens L 6 has a negative refractive power with a concave object side surface and a convex image side surface relative to the proximal axis.
The focal length of the whole camera optical lens 10 is f, the focal length of the sixth lens L 6 is f6. The following condition should be satisfied: −1.25≤f6/f≤−0.4, which can effectively reduce the sensitivity of lens group used in camera and further enhance the imaging quality. Preferably, the condition −0.78≤f6/f≤−0.5 should be satisfied.
The curvature radius of the object side surface of the sixth lens L 6 is defined as R11, the curvature radius of the image side surface of the sixth lens L 6 is defined as R12. The following condition should be satisfied: −3.38≤(R11+R12)/(R11−R12)≤−1.1, by which, the shape of the sixth lens L 6 is fixed, further, with the development into the direction of ultra-thin and wide-angle lenses, problem like aberration of the off-axis picture angle is difficult to be corrected. Preferably, the following condition shall be satisfied, −2.11≤(R11+R12)/(R11−R12)≤−1.38.
The thickness on-axis of the sixth lens L 6 is defined as d11. The following condition: 0.14≤d11≤0.44 should be satisfied. When the condition is satisfied, it is beneficial for realization of the ultra-thin lens. Preferably, the condition 0.23≤d11≤0.35 shall be satisfied.
The focal length of the whole camera optical lens 10 is f, the combined focal length of the first lens L 1 and the second lens L 2 is f12. The following condition should be satisfied: 0.62≤f12/f≤1.87, which can effectively avoid the aberration and field curvature of the camera optical lens, and can suppress the rear focal length for realizing the ultra-thin lens. Preferably, the condition 1.00≤f12/f≤1.49 should be satisfied.
In this embodiment, the total optical length TTL of the camera optical lens 10 is less than or equal to 5.72 mm, it is beneficial for the realization of ultra-thin lenses. Preferably, the total optical length TTL of the camera optical lens 10 is less than or equal to 5.46 mm.
In this embodiment, the aperture F number of the camera optical lens 10 is less than or equal to 2.27. A large aperture has better imaging performance. Preferably, the aperture F number of the camera optical lens 10 is less than or equal to 2.22.
With such design, the total optical length TTL of the whole camera optical lens 10 can be made as short as possible, thus the miniaturization characteristics can be maintained.
In the following, an example will be used to describe the camera optical lens 10 of the present invention. The symbols recorded in each example are as follows. The unit of distance, radius and center thickness is mm.
TTL: Optical length (the distance on-axis from the object side surface of the first lens L 1 to the image surface).
Preferably, inflexion points and/or arrest points can also be arranged on the object side surface and/or image side surface of the lens, so that the demand for high quality imaging can be satisfied, the description below can be referred for specific implementable scheme.
The design information of the camera optical lens 10 in the first embodiment of the present invention is shown in the following, the unit of the focal length, distance, radius and center thickness is mm.
›Embodiment 1 · 3 of 4
The design information of the camera optical lens 10 in the first embodiment of the present invention is shown in the tables 1 and 2.
Where:
In which, the meaning of the various symbols is as follows.
S1: Aperture; R: The curvature radius of the optical surface, the central curvature radius in case of lens; R1: The curvature radius of the object side surface of the first lens L 1 ; R2: The curvature radius of the image side surface of the first lens L 1 ; R3: The curvature radius of the object side surface of the second lens L 2 ; R4: The curvature radius of the image side surface of the second lens L 2 ; R5: The curvature radius of the object side surface of the third lens L 3 ; R6: The curvature radius of the image side surface of the third lens L 3 ; R7: The curvature radius of the object side surface of the fourth lens L 4 ; R8: The curvature radius of the image side surface of the fourth lens L 4 ; R9: The curvature radius of the object side surface of the fifth lens L 5 ; R10: The curvature radius of the image side surface of the fifth lens L 5 ; R11: The curvature radius of the object side surface of the sixth lens L 6 ; R12: The curvature radius of the image side surface of the sixth lens L 6 ; R13: The curvature radius of the object side surface of the optical filter GF; R14: The curvature radius of the image side surface of the optical filter GF; d: The thickness on-axis of the lens and the distance on-axis between the lens; d0: The distance on-axis from aperture S1 to the object side surface of the first lens L 1 ; d1: The thickness on-axis of the first lens L 1 ; d2: The distance on-axis from the image side surface of the first lens L 1 to the object side surface of the second lens L 2 ; d3: The thickness on-axis of the second lens L 2 ; d4: The distance on-axis from the image side surface of the second lens L 2 to the object side surface of the third lens L 3 ; d5: The thickness on-axis of the third lens L 3 ; d6: The distance on-axis from the image side surface of the third lens L 3 to the object side surface of the fourth lens L 4 ; d7: The thickness on-axis of the fourth lens L 4 ; d8: The distance on-axis from the image side surface of the fourth lens L 4 to the object side surface of the fifth lens L 5 ; d9: The thickness on-axis of the fifth lens L 5 ; d10: The distance on-axis from the image side surface of the fifth lens L 5 to the object side surface of the sixth lens L 6 ; d11: The thickness on-axis of the sixth lens L 6 ; d12: The distance on-axis from the image side surface of the sixth lens L 6 to the object side surface of the optical filter GF; d13: The thickness on-axis of the optical filter GF; d14: The distance on-axis from the image side surface to the image surface of the optical filter GF; nd: The refractive power of the d line; nd1: The refractive power of the d line of the first lens L 1 ; nd2: The refractive power of the d line of the second lens L 2 ; nd3: The refractive power of the d line of the third lens L 3 ; nd4: The refractive power of the d line of the fourth lens L 4 ; nd5: The refractive power of the d line of the fifth lens L 5 ; nd6: The refractive power of the d line of the sixth lens L 6 ; ndg: The refractive power of the d line of the optical filter GF; vd: The abbe number; v1: The abbe number of the first lens L 1 ; v2: The abbe number of the second lens L 2 ; v3: The abbe number of the third lens L 3 ; v4: The abbe number of the fourth lens L 4 ; v5: The abbe number of the fifth lens L 5 ; v6: The abbe number of the sixth lens L 6 ; vg: The abbe number of the optical filter GF.
Table 2 shows the aspherical surface data of the camera optical lens 10 in the embodiment 1 of the present invention.
Among them, K is a conic index, A4, A6, A8, A10, A12, A14, A16 are aspheric surface indexes.
IH: Image height
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 (1)
For convenience, the aspheric surface of each lens surface uses 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 the inflexion points and the arrest point design data of the camera optical lens 10 lens in embodiment 1 of the present invention. In which, P1R1 and P1R2 represent respectively the object side surface and image side surface of the first lens L 1 , P2R1 and P2R2 represent respectively the object side surface and image side surface of the second lens L 2 , P3R1 and P3R2 represent respectively the object side surface and image side surface of the third lens L 3 , P4R1 and P4R2 represent respectively the object side surface and image side surface of the fourth lens L 4 , P5R1 and P5R2 represent respectively the object side surface and image side surface of the fifth lens L 5 , P6R1 and P6R2 represent respectively the object side surface and image side surface of the sixth lens L 6 . The data in the column named “inflexion point position” are the vertical distances from the inflexion points arranged on each lens surface to the optic axis of the camera optical lens 10 . The data in the column named “arrest point position” are the vertical distances from the arrest points arranged on each lens surface to the optic axis of the camera optical lens 10 .
FIG. 2 and FIG. 3 show the longitudinal aberration and lateral color schematic diagrams after light with a wavelength of 486 nm, 588 nm and 656 nm passes the camera optical lens 10 in the first embodiment. FIG. 4 shows the field curvature and distortion schematic diagrams after light with a wavelength of 588 nm passes the camera optical lens 10 in the first embodiment, the field curvature S in FIG. 4 is a field curvature in the sagittal direction, T is a field curvature in the meridian direction.
Table 13 shows the various values of the embodiments 1, 2, 3 and the values corresponding with the parameters which are already specified in the conditions.
›Embodiment 1 · 4 of 4
As shown in Table 13, the first embodiment satisfies the various conditions.
In this embodiment, the pupil entering diameter of the camera optical lens is 2.025 mm, the full vision field image height is 3.928 mm, the vision field angle in the diagonal direction is 82.38°, it has wide-angle and is ultra-thin, its on-axis and off-axis chromatic aberrations are fully corrected, and it has excellent optical characteristics.
›Embodiment 2
Embodiment 2 is basically the same as embodiment 1, the meaning of its symbols is the same as that of embodiment 1, in the following, only the differences are described.
Table 5 and table 6 show the design data of the camera optical lens 20 in embodiment 2 of the present invention.
Table 6 shows the aspherical surface data of each lens of the camera optical lens 20 in embodiment 2 of the present invention.
Table 7 and table 8 show the inflexion points and the arrest point design data of the camera optical lens 20 lens in embodiment 2 of the present invention.
FIG. 6 and FIG. 7 show the longitudinal aberration and lateral color schematic diagrams after light with a wavelength of 486 nm, 588 nm and 656 nm passes the camera optical lens 20 in the second embodiment. FIG. 8 shows the field curvature and distortion schematic diagrams after light with a wavelength of 588 nm passes the camera optical lens 20 in the second embodiment.
As shown in Table 13, the second embodiment satisfies the various conditions.
In this embodiment, the pupil entering diameter of the camera optical lens is 2.025 mm, the full vision field image height is 3.928 mm, the vision field angle in the diagonal direction is 82.35°, it has wide-angle and is ultra-thin, its on-axis and off-axis chromatic aberrations are fully corrected, and it has excellent optical characteristics.
›Embodiment 3
Embodiment 3 is basically the same as embodiment 1, the meaning of its symbols is the same as that of embodiment 1, in the following, only the differences are described.
Table 9 and table 10 show the design data of the camera optical lens 30 in embodiment 3 of the present invention.
Table 10 shows the aspherical surface data of each lens of the camera optical lens 30 in embodiment 3 of the present invention.
Table 11 and table 12 show the inflexion points and the arrest point design data of the camera optical lens 30 lens in embodiment 3 of the present invention.
FIG. 10 and FIG. 11 show the longitudinal aberration and lateral color schematic diagrams after light with a wavelength of 486 nm, 588 nm and 656 nm passes the camera optical lens 30 in the third embodiment. FIG. 12 shows the field curvature and distortion schematic diagrams after light with a wavelength of 588 nm passes the camera optical lens 30 in the third embodiment.
As shown in Table 13, the third embodiment satisfies the various conditions.
In this embodiment, the pupil entering diameter of the camera optical lens is 2.022 mm, the full vision field image height is 3.928 mm, the vision field angle in the diagonal direction is 82.44°, it has wide-angle and is ultra-thin, its on-axis and off-axis chromatic aberrations are fully corrected, and it has excellent optical characteristics.
It is to be understood, however, that even though numerous characteristics and advantages of the present exemplary embodiments have been set forth in the foregoing description, together with details of the structures and functions of the embodiments, the disclosure is illustrative only, and changes may be made in detail, especially in matters of shape, size, and arrangement of parts within the principles of the invention to the full extent indicated by the broad general meaning of the terms where the appended claims are expressed.
›Tables in the description — 7
| R | d | nd | νd | ||||
| S1 | ∞ | d0= | −0.200 | ||||
| R1 | 1.716 | d1= | 0.593 | nd1 | 1.5439 | ν1 | 55.95 |
| R2 | 10.372 | d2= | 0.049 | ||||
| R3 | 6.210 | d3= | 0.270 | nd2 | 1.6448 | ν2 | 22.44 |
| R4 | 2.883 | d4= | 0.472 | ||||
| R5 | −304.220 | d5= | 0.531 | nd3 | 1.5439 | ν3 | 55.95 |
| R6 | −5.970 | d6= | 0.231 | ||||
| R7 | −3.839 | d7= | 0.414 | nd4 | 1.6355 | ν4 | 23.97 |
| R8 | −10.307 | d8= | 0.318 | ||||
| R9 | 3.149 | d9= | 0.442 | nd5 | 1.7130 | ν5 | 53.87 |
| R10 | −74.922 | d10= | 0.889 | ||||
| R11 | −1.435 | d11= | 0.289 | nd6 | 1.7130 | ν6 | 53.87 |
| R12 | −5.801 | d12= | 0.350 | ||||
| R13 | ∞ | d13= | 0.210 | ndg | 1.5168 | νg | 64.17 |
| R14 | ∞ | d14= | 0.140 |
| Conic Index | Aspherical Surface Index | |||||||
| k | A4 | A6 | A8 | A10 | A12 | A14 | A16 | |
| R1 | −3.0075E−01 | 5.9954E−03 | 5.5409E−04 | −1.7990E−02 | 3.9824E−03 | −4.0735E−03 | 6.7712E−03 | −1.0217E−02 |
| R2 | 4.4110E+01 | −1.2426E−01 | 1.1171E−01 | −3.7375E−02 | −4.1286E−02 | 4.0891E−03 | 7.3421E−03 | −1.4803E−03 |
| R3 | 2.4396E+01 | −1.4103E−01 | 1.8545E−01 | −6.4095E−02 | −3.2487E−02 | 4.2252E−03 | 1.2035E−02 | −7.9835E−04 |
| R4 | 4.9714E+00 | −4.3984E−02 | 8.8527E−02 | −4.1879E−02 | 1.2597E−02 | −2.2458E−02 | 5.3557E−02 | −3.1391E−02 |
| R5 | 0.0000E+00 | −7.1876E−02 | −1.7455E−02 | −1.3451E−02 | −2.0782E−02 | 2.8572E−02 | −1.9837E−02 | 1.5487E−02 |
| R6 | −3.6693E+01 | −7.4896E−02 | −2.7383E−02 | 6.9682E−03 | 6.2247E−03 | −1.3247E−02 | 7.9894E−03 | −7.0454E−04 |
| R7 | −3.8887E+01 | −1.1461E−01 | 7.6530E−02 | −1.5049E−02 | −4.5049E−04 | 2.2248E−03 | −1.2938E−03 | 1.7931E−04 |
| R8 | −1.1724E+01 | −1.1760E−01 | 5.8453E−02 | −1.0572E−03 | −2.0697E−03 | −3.0839E−04 | 1.1337E−04 | −1.9806E−06 |
| R9 | −1.3630E+00 | −5.8940E−02 | 1.1384E−03 | −3.0439E−04 | −9.2598E−04 | 5.9189E−04 | −1.9200E−04 | 2.3091E−05 |
| R10 | 0.0000E+00 | 2.8802E−02 | −3.0707E−02 | 8.9470E−03 | −1.6191E−03 | 1.7777E−04 | −1.4091E−05 | 8.6389E−07 |
| R11 | −1.5659E+00 | 2.3536E−02 | −1.5562E−02 | 5.8205E−03 | −9.9131E−04 | 8.9466E−05 | −4.2384E−06 | 8.5825E−08 |
| R12 | −1.9934E+01 | 3.7995E−03 | −8.2481E−03 | 2.6978E−03 | −5.1284E−04 | 5.2828E−05 | −2.6883E−06 | 6.0296E−08 |
| R | d | nd | νd | ||||
| S1 | ∞ | d0= | −0.200 | ||||
| R1 | 1.717 | d1= | 0.592 | nd1 | 1.5439 | ν1 | 55.95 |
| R2 | 10.406 | d2= | 0.049 | ||||
| R3 | 6.212 | d3= | 0.270 | nd2 | 1.6448 | ν2 | 22.44 |
| R4 | 2.883 | d4= | 0.472 | ||||
| R5 | −322.099 | d5= | 0.536 | nd3 | 1.5439 | ν3 | 55.95 |
| R6 | −5.958 | d6= | 0.230 | ||||
| R7 | −3.864 | d7= | 0.420 | nd4 | 1.6355 | ν4 | 23.97 |
| R8 | −10.204 | d8= | 0.317 | ||||
| R9 | 3.161 | d9= | 0.438 | nd5 | 1.7130 | ν5 | 53.87 |
| R10 | −58.047 | d10= | 0.885 | ||||
| R11 | −1.439 | d11= | 0.291 | nd6 | 1.7410 | ν6 | 52.64 |
| R12 | −5.614 | d12= | 0.350 | ||||
| R13 | ∞ | d13= | 0.210 | ndg | 1.5168 | νg | 64.17 |
| R14 | ∞ | d14= | 0.140 |
| Conic Index | Aspherical Surface Index | |||||||
| k | A4 | A6 | A8 | A10 | A12 | A14 | A16 | |
| R1 | −3.0216E−01 | 5.9420E−03 | 5.4239E−04 | −1.8021E−02 | 3.9574E−03 | −4.0783E−03 | 6.7822E−03 | −1.0204E−02 |
| R2 | 4.4115E+01 | −1.2427E−01 | 1.1171E−01 | −3.7376E−02 | −4.1276E−02 | 4.1196E−03 | 7.3738E−03 | −1.4756E−03 |
| R3 | 2.4402E+01 | −1.4102E−01 | 1.8544E−01 | −6.4092E−02 | −3.2491E−02 | 4.2226E−03 | 1.2046E−02 | −7.4945E−04 |
| R4 | 4.9699E+00 | −4.3992E−02 | 8.8555E−02 | −4.1900E−02 | 1.2582E−02 | −2.2432E−02 | 5.3594E−02 | −3.1410E−02 |
| R5 | 0.0000E+00 | −7.1755E−02 | −1.7502E−02 | −1.3573E−02 | −2.0862E−02 | 2.8566E−02 | −1.9795E−02 | 1.5534E−02 |
| R6 | −3.5505E+01 | −7.5147E−02 | −2.7445E−02 | 6.9753E−03 | 6.2310E−03 | −1.3252E−02 | 7.9800E−03 | −7.1281E−04 |
| R7 | −3.9093E+01 | −1.1454E−01 | 7.6532E−02 | −1.5047E−02 | −4.4695E−04 | 2.2267E−03 | −1.2932E−03 | 1.7934E−04 |
| R8 | −1.2550E+01 | −1.1752E−01 | 5.8477E−02 | −1.0527E−03 | −2.0690E−03 | −3.0829E−04 | 1.1340E−04 | −1.9682E−06 |
| R9 | −1.3557E+00 | −5.8912E−02 | 1.1645E−03 | −3.0359E−04 | −9.2679E−04 | 5.9259E−04 | −1.9175E−04 | 2.3138E−05 |
| R10 | 0.0000E+00 | 2.8786E−02 | −3.0692E−02 | 8.9507E−03 | −1.6184E−03 | 1.7792E−04 | −1.4057E−05 | 8.7156E−07 |
| R11 | −1.5619E+00 | 2.3497E−02 | −1.5565E−02 | 5.8204E−03 | −9.9131E−04 | 8.9467E−05 | −4.2382E−06 | 8.5864E−08 |
| R12 | −1.8651E+01 | 3.8191E−03 | −8.2431E−03 | 2.6983E−03 | −5.1281E−04 | 5.2830E−05 | −2.6882E−06 | 6.0303E−08 |
| R | d | nd | νd | ||||
| S1 | ∞ | d0= | −0.200 | ||||
| R1 | 1.715 | d1= | 0.591 | nd1 | 1.5439 | ν1 | 55.95 |
| R2 | 10.367 | d2= | 0.049 | ||||
| R3 | 6.178 | d3= | 0.270 | nd2 | 1.6448 | ν2 | 22.44 |
| R4 | 2.878 | d4= | 0.471 | ||||
| R5 | −472.983 | d5= | 0.531 | nd3 | 1.5439 | ν3 | 55.95 |
| R6 | −5.918 | d6= | 0.232 | ||||
| R7 | −3.746 | d7= | 0.413 | nd4 | 1.6355 | ν4 | 23.97 |
| R8 | −10.573 | d8= | 0.313 | ||||
| R9 | 3.180 | d9= | 0.442 | nd5 | 1.7410 | ν5 | 52.64 |
| R10 | −116.617 | d10= | 0.892 | ||||
| R11 | −1.441 | d11= | 0.294 | nd5 | 1.7130 | ν6 | 53.87 |
| R12 | −5.749 | d12= | 0.350 | ||||
| R13 | ∞ | d13= | 0.210 | ndg | 1.5168 | νg | 64.17 |
| R14 | ∞ | d14= | 0.142 |
| Conic Index | Aspherical Surface Index | |||||||
| k | A4 | A6 | A8 | A10 | A12 | A14 | A16 | |
| R1 | −3.0389E−01 | 5.8650E−03 | 5.6878E−04 | −1.8042E−02 | 3.9165E−03 | −4.1161E−03 | 6.7343E−03 | −1.0287E−02 |
| R2 | 4.4281E+01 | −1.2423E−01 | 1.1177E−01 | −3.7383E−02 | −4.1406E−02 | 3.9467E−03 | 7.2832E−03 | −1.4124E−03 |
| R3 | 2.4467E+01 | −1.4087E−01 | 1.8551E−01 | −6.4125E−02 | −3.2558E−02 | 4.1102E−03 | 1.1943E−02 | −7.7114E−04 |
| R4 | 4.9734E+00 | −4.3848E−02 | 8.8717E−02 | −4.1824E−02 | 1.2612E−02 | −2.2376E−02 | 5.3579E−02 | −3.1732E−02 |
| R5 | 0.0000E+00 | −7.2178E−02 | −1.6962E−02 | −1.3355E−02 | −2.0896E−02 | 2.8517E−02 | −1.9807E−02 | 1.5486E−02 |
| R6 | −3.7225E+01 | −7.5194E−02 | −2.7516E−02 | 6.9807E−03 | 6.2386E−03 | −1.3249E−02 | 7.9794E−03 | −7.0905E−04 |
| R7 | −3.7774E+01 | −1.1437E−01 | 7.6572E−02 | −1.5052E−02 | −4.5779E−04 | 2.2207E−03 | −1.2949E−03 | 1.7960E−04 |
| R8 | −9.4587E+00 | −1.1773E−01 | 5.8477E−02 | −1.0497E−03 | −2.0680E−03 | −3.0810E−04 | 1.1337E−04 | −2.0147E−06 |
| R9 | −1.2292E+00 | −5.8477E−02 | 8.6225E−04 | −2.9036E−04 | −9.1900E−04 | 5.9285E−04 | −1.9204E−04 | 2.3038E−05 |
| R10 | 0.0000E+00 | 2.8401E−02 | −3.0672E−02 | 8.9526E−03 | −1.6183E−03 | 1.7778E−04 | −1.4110E−05 | 8.5773E−07 |
| R11 | −1.5648E+00 | 2.3520E−02 | −1.5564E−02 | 5.8204E−03 | −9.9131E−04 | 8.9466E−05 | −4.2384E−06 | 8.5849E−08 |
| R12 | −1.8645E+01 | 3.8040E−03 | −8.2471E−03 | 2.6979E−03 | −5.1284E−04 | 5.2829E−05 | −2.6883E−06 | 6.0305E−08 |
| Embodiment 1 | Embodiment 2 | Embodiment 3 | |
|---|---|---|---|
| f | 4.455 | 4.454 | 4.449 |
| f1 | 3.692 | 3.692 | 3.691 |
| f2 | −8.620 | −8.620 | −8.633 |
| f3 | 11.189 | 11.155 | 11.014 |
| f4 | −9.874 | −10.047 | −9.349 |
| f5 | 4.248 | 4.218 | 4.185 |
| f6 | −2.749 | −2.691 | −2.776 |
| f12 | 5.542 | 5.543 | 5.534 |
| (R1 + R2)/(R1 − R2) | −1.397 | −1.395 | −1.397 |
| (R3 + R4)/(R3 − R4) | 2.733 | 2.732 | 2.744 |
| (R5 + R6)/(R5 − R6) | 1.040 | 1.038 | 1.025 |
| (R7 + R8)/(R7 − R8) | −2.187 | −2.219 | −2.097 |
| (R9 + R10)/ | −0.919 | −0.897 | −0.947 |
| (R9 − R10) | |||
| (R11 + R12)/ | −1.657 | −1.689 | −1.669 |
| (R11 − R12) | |||
| f1/f | 0.829 | 0.829 | 0.830 |
| f2/f | −1.935 | −1.935 | −1.941 |
| f3/f | 2.512 | 2.504 | 2.476 |
| f4/f | −2.216 | −2.256 | −2.101 |
| f5/f | 0.954 | 0.947 | 0.941 |
| f6/f | −0.617 | −0.604 | −0.624 |
| f12/f | 1.244 | 1.245 | 1.244 |
| d1 | 0.593 | 0.592 | 0.591 |
| d3 | 0.270 | 0.270 | 0.270 |
| d5 | 0.531 | 0.536 | 0.531 |
| d7 | 0.414 | 0.420 | 0.413 |
| d9 | 0.442 | 0.438 | 0.442 |
| d11 | 0.289 | 0.291 | 0.294 |
| Fno | 2.200 | 2.200 | 2.200 |
| TTL | 5.200 | 5.200 | 5.200 |
| d1/TTL | 0.114 | 0.114 | 0.114 |
| d3/TTL | 0.052 | 0.052 | 0.052 |
| d5/TTL | 0.102 | 0.103 | 0.102 |
| d7/TTL | 0.080 | 0.081 | 0.079 |
| d9/TTL | 0.085 | 0.084 | 0.085 |
| d11/TTL | 0.056 | 0.056 | 0.056 |
| n1 | 1.5439 | 1.5439 | 1.5439 |
| n2 | 1.6448 | 1.6448 | 1.6448 |
| n3 | 1.5439 | 1.5439 | 1.5439 |
| n4 | 1.6355 | 1.6355 | 1.6355 |
| n5 | 1.7130 | 1.7130 | 1.7410 |
| n6 | 1.7130 | 1.7410 | 1.7130 |
| v1 | 55.9524 | 55.9524 | 55.9524 |
| v2 | 22.4361 | 22.4361 | 22.4361 |
| v3 | 55.9524 | 55.9524 | 55.9524 |
| v4 | 23.9718 | 23.9718 | 23.9718 |
| v5 | 53.8671 | 53.8671 | 52.6365 |
| v6 | 53.8671 | 52.6365 | 53.8671 |
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