TWI311233B - Zoom lens - Google Patents

Description

1311233 IX. Description of invention: . [Technical field to which the invention belongs] 'This is a shouting---------------------------------------------------------------------------------------------------------------------- Low price. & focus lens, sure - a zoom lens that meets market requirements. Φ [Prior Art] Since the scope of photography is becoming more and more widely used in modern times, especially the mobile phone products on the market are more necessary. At present, there is a group of people in the general mobile work _ camera element and photographic lens (for example: coffee or CMOS Se bribe), but with the miniaturization of solid camera elements and photographic lenses and the demand for locality, the product In the case of Wei Jing, I was asked to be small and squatting. Therefore, the development of Jiao Jiao Shuo has gradually become more and more urgent with the popularity of photography mobile phones. Therefore, how to develop a zoom 13⁄4 head that is more in line with the needs of users has become the focus of research and development in the industry. - In view of this, in recent years, with the technological advancement of (10) Jingang measurement, the density and high quality of the South have been improved, and the optical performance has also been demanded. In addition, the zoom lens that the digital camera and the mobile phone have to cut is also It is required to be more compact, low-priced, and lighter. 4. If it is to be twice as large as the zoom of the previous zoom lens, the zoom lens with a small number of lenses and high performance is required. 1311233 is to arrange the negative inflection work group and the positive inflection second group from the object side, and the focal length changes as the distance between the groups changes; but it is well known that the second group = anxious For the simpler construction, the system of the two-group zoom has the following conventional zoom lens patent documents in Japan, where the market is most competitive. Patent Document 1 (Japanese Laid-Open Patent Publication No. Hei No. Hei. No. Hei. No. Hei. No. Hei. No. Hei. No. Hei. No. Hei. No. Hei. No. Hei. No. Hei. No. Hei. No. Hei. No. Hei. No. Hei. JP-A-4-56814); wherein: Patent Document 1 is composed of five lenses (two groups of the first group and three groups of the second group) = sheet = optical system 'is miniaturized and low by using a spherical lens Price, but it is very difficult to adjust the distance between the surface and the film (optical performance modulation). It is difficult for the producer to find the appropriate structure. The patent document 2_4 is a small piece of the aspherical surface. Modulated optical ke At ya „ ^ The moon is darker, and the section of the shackle will make the Fno.4.6 at the wide-angle end appear as a glazed __. The creator of the present invention based on the past market (four) technology and experience 'from the cost reduction, the complex refractive power of each group and the "final development of the product to solve the above problems, its zoom can be part of the shape (four) appropriate Slave, allowing the product to maintain good optical performance in the optical whole world, and can provide small Content, high-performance, low-cost zoom lens 71311233 INVENTION head. The main object of the present invention is to provide a miniaturized, high-performance zoom lens lens that provides an optical zoom quality that is not aspherical. To achieve the above objective, the change head of the present (four) is from the beginning of the object. 1 The positive group of the positive inflection is arranged in order; with the distance between the groups =: to achieve the focal length change zoom lens. The refractive power of the 丄 group is i 1 brother 2 group's refractive power is 丨 / f ” so that the focal distance between groups is iw, 傕 group fighting buckle, + again, only day 7 points

曰1,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, The group facing the object side is composed of the surface of the object, the face of the face, the 2nd 兮 jin, the 10 fold (10) 1 auxiliary group and the 2nd lion group of the positive scale. The Shaidi 1 auxiliary group is made up of 雔, 疋The second auxiliary group 8 1311233 is formed by a convex lens and a double concave lens, and the second auxiliary group 8 1311233 is characterized by a convex surface which is convexly facing the object side. The mirror is formed by the mirror, and the zoom lens of the present invention is further described as a recording head (four) Yang. Zhao's work (4) This zoom lens starts from the object side, and is negatively arranged by the negative side of the object side due to the negative arrangement of the 1st group (the other group) and the 2nd group (the rear group). It is a two-mirror-assisted group with a convex surface and a mirror-assisted group = 1 gamma - the second auxiliary f 疋 is composed of two convex and biconcave mirrors, and the 5th second auxiliary group λ # 冓 group is convex The positive lenticular lens on the side of the object. This second group is made up of Wei, which consists of UW, which is effectively miniaturized. The μ疋 consists of five lenses, and the first group Inflection The force is 1 /f /; The twisting force of the 2nd group is 2, the focal point E when the focal length becomes larger, the distance from the horse iw, the focal length between the groups becomes smaller, and the dot distance paint is f 4 The above conditional formula (1)(2): This preparation (1) is that the value of the global variable is equal to 丄, the wide-angle end of the heart; the correlation formula of Wang Chang’s surname, the learned 俾”, and the full length of the main hard 鳊It becomes equal, in the case of light, it is the smallest change in total length; when the value of conditional formula (1) is greater than 1, the full length of the wide-angle end becomes the largest, and when the value of work (1) is less than 1, the employee is hired. The mountain conditional formula (1) is to be minimized; therefore, when the 疋 is larger than 1 'do not want the full-length change is large; -1311233, the focal length of the negative meniscus lens in the present day and the second 丨 group is the positive meniscus lens When the focal length is f, it is necessary to "sufficient conditional formula: •8 〇. 5 5 S | f „/ f 丨| $ 1*5 ^ | f 12/ f ] I ^ 4* 仵条仵(5) is less than 〇

For the refractive power of the first group, the refractive power of L1 is too strong, and when using a plastic lens, the temperature of the image on the wide-angle side becomes A; ah, the deviation of the position (4) cannot be mastered. . Further, if the conditional expression (5) is larger than 〇.δ5, the negative refractive power of the negative meniscus lens becomes too weak, the correction of the color difference in the first group becomes incomplete, and the performance of the lens also deteriorates. When the enthalpy of the conditional expression (6) is less than 1.5, the refractive power with respect to the second group, the refractive power of the positive-convex lens of the first group becomes too strong, and when the plastic lens is used, the image on the wide-angle side changes due to the temperature. The _ of the face will become larger. At the same time, the deviation of the focus position becomes unacceptable. When the 値 of the conditional expression (6) is larger than 4· 〇, the positive refractive power of the positive meniscus lens of the second group becomes too weak, the correction of the chromatic aberration of the ith group becomes incomplete, and the performance of the lens also changes. difference. In the present invention, all of the lenses constituting the first group of negative meniscus lenses and positive meniscus lenses, the lenticular lens constituting the second king f, the biconcave lens, and the positive meniscus lens are preferably made of plastic. According to the structure, a lens having an aspherical shape can be easily produced and manufactured. (4) The invention, the techniques, means and other functions used to achieve the above objectives, the preferred embodiments are described in detail with reference to the drawings, the purpose, characteristics and other advantages of the invention. It can be obtained - in-depth and specific understanding. [Embodiment] For a preferred embodiment of the zoom lens of the present invention, please refer to the following description. The present invention is shown in FIG. 1 to FIG. 6 as Embodiment 1 to Embodiment (4), respectively. FIG. 1A to FIG. 6A The optical system characteristic data of the six embodiments are (Fig. 1B to Fig. 6B), the optical system phase difference diagrams of the six embodiments are (Fig. 1C to Fig. 6C); and Fig. 7 is the non- Schematic diagram of spherical data. This April 2 group of 'money lenses' is generally applicable as a digital camera, a mobile phone, etc. In Fig. 1A to Fig. 6A, 矣 + ^ y, the arrangement of the optical system in each of the embodiments. With respect to the zooming distance of the first embodiment, the present invention is sequentially arranged from the object side in order along the optical axis. / When the functions of Le 1 fresh G1 (pre-group), 2nd group (}2 (post group), 13 1311233 GLASS are used, 'parallel plane glass 1, 2 need only use one. In the image plane 3 A solid-state imaging device such as a CCD is disposed. See Fig. 6B of the present invention. At the top of the figure are lens elements, focal length f, F NUMBER (FN 〇.), and 2 angle 2 ω. The different values of the intermediate position to the telephoto side are respectively indicated.

In the table below, the small 2·.. 15 indicates the number of the faces of all the lenses starting from the object side (the first side). r is the radius of curvature Cmm) on the paraxial axis. For example, in the respective embodiments, the uth surface to the second side surface are both side faces of the parallel flat glass 1'2, so that (1) Qd represents the value of the surface interval (deleted). The nd is the refractive index of each of the lenses U to L5 and the parallel plane faces 1, 2, vd is the lens L1 to the parallel plane glass, and the lion _, α, 丄矸b丄矸 and the second group The interval between the 1st and the 11th faces (the interval between the 2nd group G 2 and the parallel plane glass 1), and will be displayed in the "wide angle side to the middle side." f ! is the population of the first group 0丄, the point distance, f 2 is the first focal distance, fW is the intergroup transition 隹®; f H κ angle side), the total distance of the lens, f τ When the distance between the groups is small, the distance between the squad and the earth, and the king's side is the distance from the pound system, "the focus of the scorpion's sorcerer's scorpion, the focal length of the convex illuminator IL1," is positive 15 1311233 The focal length of the meniscus lens L2, f θ... The focal length of the auxiliary group of the younger brother 1 and the focal length of the auxiliary group of the f22 brother 2 are individually shown. ^ Figure 1C to Figure 6C shows a spherical aberration and a non-point image 歪 slip of each embodiment. Any one of the graphs is about the d-line data, and the non-difference table does not list the data about the clear ttal _ge (3) and the data about _d_llmagesurface (M). These aberration diagrams show the data of the wide-angle W) and the intermediate position (M) on the telephoto side (7). Each of them can be used to understand that the non-practical degree of aberration can be corrected. The data of the aspheric shape of the 7B ’ 7B lang. The aspherical shape uses A, B, C, and D as the _plane coefficient, and the displacement X of the j^ degree of the optical axis is the surface apex and is represented by the reference: 1/2 X=(1/ R) HV [...Bu (1+κ) (Η卿丨)+AH4 + BH6 + CH8 + DH10 R is the paraxial radius of curvature, the _ coefficient, the aspherical coefficient is not a hill, the mark is 10·3 . f In the present invention, with respect to | f , I / 12/ f ] / f 2, f 21 / f 2, f 22 / f ′ | | fu/ The numerical range is desirably in accordance with the following setting. 〇.9 $丨f]丨 / ( " · f 下 ) 16 1311233 ^ If the condition (1) is less than 0.9, the total length on the telephoto side will become longer, and the miniaturization of the lens barrel design will become difficult. In addition, in the telephoto side, it is difficult to correct the surface aberration, the chromatic aberration, the distortion aberration, and the correction of the comet aberration. When the conditional expression (1) is greater than 1.1, the full length of the wide-angle measurement becomes longer, and the diameter of the spheroidal surface also becomes larger, and the entire optical system of the lens is enlarged.

^ 1-35 (2) If the value of the conditional expression (2) is less than L15, the increase in the amount of movement of the second group for the magnification, the length of the first and the second and the second must be long. Therefore, the total length of the lens becomes longer. At the same time, the diameter of the front spherical surface becomes larger. If the value of the formula ^ is larger than 1.35, the correction of the spherical surface image on the wide-angle side and the spherical image on the telephoto side becomes difficult.

When the enthalpy of the conditional expression (3) is less than U), the refractive power of the first auxiliary group is too strong, and the variation of the spherical aberration on the telephoto side when the plasticity is used is changed with respect to the force of the second auxiliary force. Will become less. , /夂 ^ ^ Λ ,. When the mouth is at the focus position 66, the deviation S becomes impossible. If the 値 of the formula is greater than 1 q▲, L 々, 丄.3, the refractive power of the phase G2, because the refractive power of the first auxiliary group is woven, worshipped, paid 4, and the second subsidy group has a bend of 17 -1311233. The force becomes too strong; therefore, when the plastic lens is used in the present invention, the variation of the spherical aberration measured at the telephoto point due to the temperature change and the deviation of the focus position become large. 6 will r22/f2 $ 9 ...

When the enthalpy of the conditional expression (4) is less than 2, the refractive power of the second auxiliary group becomes too strong for the refractive power of the first group (7), and the spherical aberration of the telephoto side due to the temperature change is changed by using the plastic lens Japanese temple. The deviation of the focus position becomes large. When the 値 of the formula is larger than 9, the refractive power with respect to the second and second is weak, and the refractive power of the auxiliary group becomes weak, and the refractive power of the first auxiliary group becomes too strong. Therefore, when the plastic mirror >i is used, gj is a deviation of the temperature change at the telephoto end position. (4) __ movement and focus. . ^ II π / t J ^ 0*85 Force = ίι (Γ, _, 。..55, the refractive power of the first group G1, the riding of the lens L1 _, and the (four) image plane on the wide-angle side The change of the bend will become larger. At the same time, the 隹 will become unpredictable. If the deviation force is changed according to the position of ^, the negative inflection performance of her and Cong Kong will also be worse.

18 • 1312323 Therefore, the “novelty” and “progressiveness” of the present invention have been in compliance with the patent regulations, and the application for invention patents has been filed according to law, and it is prayed for review and early granting of patents.

20 ‘1311233 [Simple description of the drawings] [Fig. 1A] A schematic diagram of the lens configuration of the first embodiment. 1B is a schematic diagram of optical rotation data of Example 1. 1C is a schematic diagram of phase difference map data of Example 1. 2A is a schematic view showing the lens configuration of Embodiment 2. 2B is a schematic diagram of the characteristic data of the embodiment 2. [Fig. 2C] Schematic diagram of the phase difference map data of the second embodiment. Fig. 3A is a schematic view showing the lens configuration of the third embodiment. Fig. 3B is a schematic view showing the optical system characteristic data of Example 3. [Fig. 3C] Schematic diagram of the phase difference map data of the third embodiment. Fig. 4A is a schematic view showing the configuration of a lens of the fourth embodiment. 4B is a schematic view showing the optical system characteristic data of Example 4. [Fig. 4C] Schematic diagram of the phase difference map data of Example 4. [Fig. 5A] Schematic diagram of the lens configuration of the embodiment 5 [Fig. 5B] Schematic diagram of the optical system characteristic data of the embodiment 5. [Fig. 5C] Schematic diagram of the phase difference map data of the fifth embodiment. Fig. 6A is a schematic view showing the configuration of a lens of Example 6. Fig. 6B is a schematic view showing the optical system characteristic data of Example 6. 6C is a schematic diagram of the phase difference map data of Example 6. 7A is a schematic diagram showing aspherical coefficients of Embodiments 1 to 3; FIG. 7B is a schematic diagram showing aspherical coefficients of Embodiments 4 to 6 1311233 [Schedule 1] Actual data of Embodiments 1 to 6. [Main component symbol description]

1 parallel plane glass 2 parallel plane glass 3 image plane G 1 group 1 G 2 group 2 L 1 negative meniscus lens L 2 positive meniscus lens L 3 lenticular lens L 4 double concave lens L 5 positive meniscus lens 22

Claims (1)

1311233 Ρ·1-21 X. Applying for a patent fine ·· "Amendment 1. Kind of k-focus mirror, < object_initial configuration includes the first group and the second group, where: the meaning of the group is negative 'They are formed by a convex concave-convex lens with a convex surface facing the object side and a positive meniscus lens with a convex surface facing the object side, and the negative meniscus lens and the positive meniscus lens have at least one aspheric surface; μ X group is positively folded' The first auxiliary group that is inflected and the second auxiliary group that is positively folded. The i-th auxiliary group is composed of a lenticular lens and a double-concave lens. The auxiliary group is formed by a convex surface facing the object side. And the refractive power of the first group is 1/fi, and the refractive power of the second group is i/f'. When the distance between the two groups becomes large, the focal length of the optical system is fw, and the distance between the two groups of P is changed. Hour's focal length of its optical system is fT, which satisfies the following 0 'If 5 ^ (f W · f T) 1/2 I / f 2 S 1 . and 2 · If you apply for the special _ ! · The focus distance of the 1st auxiliary group is f21, and the 2nd auxiliary group is [Full, riding "2nd piece: fine point distance 1 〇' f 21/f 2 $ 1 . 3 ; and 2 each f 22 / f 2 g 9. 23 1311233 3. A zoom lens according to the item j of the invention, wherein the first group: f, the point (four) of the negative meniscus lens is For fu, when the focal length of the positive meniscus lens is fu, the following conditions are satisfied: 〇5 5 s I "'fi| $ 〇. 8 5 ; and 1 5 S|; f12/fi|g 4.0. 4., 2 or 3. The group and the second group are all composed of plastic lenses. Zoom lens 24 98. 1.21 year and day amendments supplement 1311233 XI, schema (Example 1) 1A Figure 13121233 98. 1.21 Year and Day Correction Supplement (Example 1) Focus Distance: f=4. 71mm~7. 35mm~9. 38mm (F NO.) :F3.44~4. 34~5. 03昼 angle: 2 = =64. 8°~42. 4°~33. 5° rd nd v 6 1 34.227 0.95 1.54340 56.5 2 2.355 1.12 3 6.465 1.31 1.60730 26.6 4 15.715 4.62 ~1.83 ~0.75 5 2.418 1.08 1.54340 56.5 6 -6.679 0.04 7 〇〇0.04 8 -10.675 0.55 1.60730 26.6 9 5.142 1.22 10 5.794 0.57 1.54340 56.5 11 9.577 5.02 ~7.18 ~8.86 12 〇〇0.37 1.51680 64.2 13 〇〇0.10 14 〇〇0.50 1.51680 64.2 15 〇〇1 丨= 1.02 I 丨 1.25 f2i/f2 = 1.15 4.72 丨fl Ί 丨 = 0.70 2 2 / 丨 1 丨 = 2.54 IB 131 13121323 98. 1. 21 year and month corrections supplement (example 1) Μ S -0.1 0 0.1 Spherical Weight Loss -0.2 0 0.2 Non-Point Gradient -6.0% 0.0% Distortion Variation 6.03⁄4 -0.1 0 0.1 Spherical Reach 0.2 -6.0% 0.0% 6.0% Non-point difference -0.2 0 -0.1 0 0.1 Spherical surface difference 0.2 Non-point difference 1C chart -6.0% 0.0% 歪曲收差 6.0% 1311233 98. 1.21 year and month correction supplement (Example 2) 2A Figure 13121233 m correction supplement (Embodiment 2) Focus distance: f = 4. 71mm~7. 35 deleted ~ 9. 38mm (F NO.) : F3. 44-4.35-5. 07 Picture angle: 26^= 65.1°~42.4. ~33.5° 4 0 12 3 4 5 i—i—i—i! i—i— rd nd V d 97.281 0.60 1.52996 55.8 2.366 1.18 6.172 1.31 1.60730 26.6 15.091 4.68 ~1.85 ~ .0.75 2.492 1.12 1.54340 56.5 -6.038 0.00 OO 0.08 -10.367 0.52 1.60730 26.6 5.206 1.22 7.603 0.69 1.52996 55.8 14.610 5.08 ~7.29 ~ 9.02 OO 0.37 1.51680 64.2 OO 0.10 OO 0.50 1.51680 64.2 I Chip 丨/W(fw'fT) = 1.02 I f-| I — 1 -22 f2i /f2= 1-13 to 22/"^2= 5-24 I thousand 11 /fi 丨=0.68 II = 2.41 2B Figure 13121233 98. 1. 21st day and day correction supplement (Example 2) Μ S -6.0% 0.0% -0.1 0 0.1 Spherical difference 6.0% 歪收收差 -0.1 0 0.1 Spherical surface difference -0.2 0 0.2 Non-point difference Non-point difference, distortion, 6.0% -0.1 0 0.1 Spherical surface difference Μ S -0.2 0 0.2 Non-point difference -6.03⁄4 0,0% Contrast difference 6.0% 2C picture 1311233 98. 1.21 year and day correction supplement (Embodiment 3) 3A Figure 13121233 98. 1.21 year and day correction supplement (Example 3) Focus distance: f = 4. 71 face ~ 7. 34mm~9. 37mm (F NO.) : F3. 43~4. 28~4.94 昼Angle: 2ω2 65. 0°~42.4°~33. 5° CM345678910111213145 Γ d nd V d 860.004 0.60 1.52996 55.8 2.363 1.19 5.107 0.94 1.60730 26.6 11.863 5.03 ~1.95 ~0.76 2.401 1.08 1.54340 56.5 -6.725 0.00 〇〇0.16 -9.567 0.50 1.60730 26.6 4.324 1.24 7.239 0.65 1.52996 55.8 36.613 5.10 ~7.25- -8.93 〇〇0.37 1.51680 64.2 〇〇0.10 〇〇0.50 1.51680 64.2 f2 ^ ^ *fT\ \ \ W _ 12 (f~IQ f2 \ \ 7 6 3 8 3 7 0 2 2 9 6 9 3B Figure 13121233 98. 1.21 year and day correction supplement (Example 3) -0.1 0 0.1 Spherical surface difference I - 0.1 0 0.1 Spherical surface difference -0.1 0 0.1 Spherical surface difference S -6.0% 0.03⁄4 -0.1 0 0.1 Non-point difference -^ S 6.0% 收曲收ΜΜ -0.1 0 0.1 -6.0% 0.0% Non-point difference distortion 6.0% S -0.1 0 Μ 0.1 -6.0% 0.0 % 6.0% Non-point difference 3C Figure distortions 1311223 Year 9 & 4. Correction Supplement (Example 4) 4A Figure 1312323 Μ Μ 2 instrument correction first (Example 4) Focus distance: f = 4. 71mm~7. 35mm~9. 37mm (F NO.) : F3. 53-4.45-5. 17 昼角: 2ω two 64. 9. ~42. 3. ~33. 4. Rd nd V d 1 29.551 0.65 1.54340 56.5 2 2.374 1.20 3 7.364 1.44 1.60730 26.6 4 19.197 4.63 ~1.83 ~0.75 5 2.443 1.07 1.54340 56.5 6 -5.931 0.05 7 oo 0.17 8 -6.675 0.50 1.60730 26.6 9 7.360 1.17 10 22.954 0.63 1.54340 56.5 11 1145.000 4.92 ~7.13, -8.85 12 oo 0.37 1.51680 64.2 13 oo 0.10 14 oo 0.50 1.51680 64.2 15 oo /V~(fw_fT) ~ = 1.01 IM /f2= :1.23 f2l/f2 = =1.07 at 22/th 2 = =7.87 丨f"/fi I = =0.71 I slice / slice 丨 = = 2.80 Figure 4B Figure 1312323 98. 1.21 year and month correction supplement (example 4) 丄 S -0.1 0 0.I Spherical weight difference -0.1 0 0.1 -6.0% 0.0% 6.03⁄4 Non-point difference 歪曲收差 S -0.1 0 0.1 -0.1 0 0.1 -6.0% 0.0% 6.0% Spherical surface non-point difference 歪曲收差 S 6.0% -0.1 0 0.1 -0.1 0 0.1 -6.0% 0.0% Spherical surface non-point difference distortion 4C Figure 13121233 98. 1. 21. Year Month Day Amendment (Example 5) 5A, 1311223, November 21, Supplementary Supplement (Embodiment 5) Focus distance: f=4. 71imn~7. 35mm~9. 37mm (F NO.) :F3.46~4. 37-5.07 Angle of drawing: 2ω =64.7°~42.3°~33.4° 0 12 3 4 5 1— ii i—J-i—ii rd nd V d 22.363 0.96 1.54340 56.5 2.444 1.45 8.253 1.25 1.60730 26.6 18.039 4.73 〜1.86- -0.75 2.293 1.18 1.54340 56.5 - 7.260 0.05 CO 0.20 -6.124 0.50 1.60730 26.6 6.406 1.04 13.493 0.58 1.54340 56.5 1143.920 4.98 ~7.19 ~8.90 OO 0.37 1.51680 64.2 oo 0.10 OO 0.50 1.51680 64.2 f·! I /•'/""(fw'fT)= = 1.03 I fi I /f2= =1.23 ^21^2 = =1.13 f22^2 = :4.54 II = :0.75 Bu 12/M = :3.51 Figure 5 Figure 1312323 m l. 2ί ) -0.1 0 0.1 spherical coverage 6.0% non-point difference -0.1 0 0.1 spherical difference -0.1 0 0.1 non-point difference -6.0% 0.0% distortion collection 6.0% -0.1 0 0.1 -0.1 0 0.1 Spherical Gradation Non-Point Gradation 5C Figure -6.0% 0.0% Distortion 6.0% 1311233 98.1.21 Year Month Day Correction Supplement (Example 6) Fig. 6A Fig. 1312323 Plus · 121 Month Day Correction Supplement (Example 6) Focus distance: i=4. 71mm~7. 35mm~9. 37mm (F NO.) :F3. 49-4.43-5.16 Corner: 2ω =64. 8°~42. 3°~33. 3° rd nd νύ 1 20.593 0.65 1.54340 56.5 2 2.331 1.20 3 7.754 1.65 1.60730 26.6 4 17.130 4.41- -1.77- -0.75 5 2.328 1.12 1.54340 56.5 6 -6.848 0.05 7 00 0.19 8 -6.756 0.50 1.60730 26.6 9 6.673 1.18 10 12.131 0.59 1.54340 56.5 11 48.092 4.90- ^7.18- -8.97 12 00 0.37 1.51680 64.2 13 00 0.10 Η 00 0.50 1.51680 64.2 15 00 /V~(fw-fT)= 0.97 I fi I 1.20 f21/f2= 1.10 f22/f2= 5.51 丨f^/fj I = 0.76 1 ^12^1 1 = 3.39 Figure 6 1313123 98. 1. 21, year, month and day correction supplement (Example 6) S Μ -6.0% 0.0% -0.1 0 0.1 Spherical difference -0.1 0 0.1 Non-point difference S 歪曲收差 6.0% -0.1 0 0.1 Spherical Non-point difference -6.0% 0.0% distortion 0.0% S Μ -0.1 0 0.1 spherical difference -0.1 0 0.1 non-point difference 6C -6.0% 0.0% distortion difference 6.0% 1311233 m 1.21 year and month correction Supplemental aspheric coefficient (implementation force 1) 2nd face 4th face 5th face 6th face K= -7.36236Ε-01 A= 4.84691 Ε-03 Β 26.97735Ε-04 C= 9.27702E - 06 D= -8.75056 E-07 8th face K= Ο.ΟΟΟΟΟΕ+ΟΟ Α= -7.96061 Ε-03 Β= 1.30372Ε-03 C= 1.99875Ε-03 D= 3.34358Ε-05 Κ= -1.26003Ε+02 Α= 5.16410Ε 04 Β二-9.60667Ε-04 C= 1.22990Ε-04 D= -2.28605Ε-05 Κ= -7.12006Ε-01 Α= 5.10942Ε-03 Β二1.41252Ε-03 C= -2.29772Ε-04 D二- 1.19613Ε-05 K= -1.22322E+00 Α= -3.71664Ε-03 Β= 1.88443Ε-03 C= 2.53502Ε-04 D= 9th Κ = 6.62825E-01 10th K= Ο.ΟΟΟΟΟΕ+ ΟΟ 11th Κ 2Ο.ΟΟΟΟΟΕ+ΟΟ Α= 5.45284E-03 7.46595E-03 Α= 1.40710E-02 巳= 2.42115E-03 巳= -1.29510E-02 Β= -9.01851 Ε-03 C= 5.47472 E-04 C 27.47268E-03 C= 3.09249Ε-03 D= 1.38773E-03 -2.08814E-03 D= 3.91631 Ε-04 Aspheric coefficient (implementation force 2) 4th face 4th face K= -7.81169Ε-01 Α= 4.62888Ε-03 Β= 4.86210Ε-04 C= 3.60903Ε-05 D= -4.26302E-06 5th face K= -1.21927Ε+02 Α= 1.36946Ε-03 Β= -9.71700Ε-04 G= 1.32337Ε-04 D二-2.00571 Ε-05 Κ= -6.89420Ε-01 Α25.11887E-03 B= 1.19662E-03 C= -1.34518E-04 D= 1.25364E-05 6th surface K Α = Β = C= D= -3.41897Ε+00 -2.87923Ε-03 1.90580Ε-03 2.33491 Ε-04 4.08853Ε-05 9th 彳0面11 Face K ab-c=d= 8 Ο.ΟΟΟΟΟΕ+ΟΟ 1.43335E+00 Ο.ΟΟΟΟΟΕ+ΟΟ K 二Ο.ΟΟΟΟΟΕ+ΟΟ -7.54422E-03 Α- 5.44364E-03 1.23050E-02 Α= 1.68350 Ε-02 1.51504E-03 Β= 1.74387E-03 B II-1.27860E-02 Β II-8.76128Ε-03 1.60104E-03 C= 6.15372E-04 8.73169E-03 C II 4.41853Ε-03 -3.49876E -05 D= 1.06454E-03 D= -3.20545E-03 D II-8.02758Ε-04 Noodle Dijon Dijon No.2-2.36211E+00 Κ二-1.31857Ε+01 Κ二-6.40262E- 01 K= -7.55560E+00 Α= 2.82935E-02 Α= -9.02408Ε-04 Α= 5.46946E—03 Α= 1.27564E-03 巳二-3.95972E-03 Β= -1.13521 Ε-04 Β二7.30741 E-0 4 Β II 1.95357E-03 C= 9.24725E-04 C= -9.39441 Ε-05 C II 2.68196E - 04 C= -1.37508E-03 D= -1.41551 Ε-04 D II 2.42227Ε-05 D= -1.52865 E - 04 2.75755E-04 8th face K= Ο.ΟΟΟΟΟΕ+ΟΟ 9th face K= 6.9741 7Ε+00 10th face K= Ο.ΟΟΟΟΟΕ+ΟΟ 11th face κ= O.OOOOOE+OO 1.31424Ε-02 Α= 2.24567Ε-02 Α= 2.74323E-02 Α二2.57436E-02 巳二-4.72192Ε-03 Β= -6.99487Ε-03 Β二-1.98446E-03 B= -1.53708E-03 〇二1.18453Ε -03 C= 3.34820Ε-03 C= 2.13605E-03 C= 3.73111E-03 D= 1.87261 Ε-04 D= 9.54605Ε-05 D= -3.80720E-04 -1.68129E-03 Section 7A 1311223 98. 1.21 year month 曰 correction t aspheric coefficient (implementation force 4) 2nd face 4th face 5th face 6th face -3.66742E-01 K= -2.18383E+01 K 2-7.10199E-01 K= Α 2 1.71261E-03 A= -2.88336E-03 A= 3.38073E-03 A 2B 25.80383E-05 B 22.7761E-04 B II-1.32856E-03 巳= C= 1.59053E-04 C= -3.95702 E-04 C= 4.93604E-04 C= D 二-3.31761E-05 D= 1.33057E-04 D= -7.18241 E-04 D II 8th face 9th face 10th face 11th face K 2 O.OOOOOE +OO K= 2.68128E+01 κ= O.OOOOOE+OO κ= k: 1.24906E-02 k: 2.75111E-02 Α= 1.57044E-02 Α= B II-1.26197E-03 巳= -2.23880E-03 Β = -2.56005E-03 Β= C 二3.15472E-03 c= 4.94916E-03 3.29998E-03 C 二D二3.24418E-05 4.09609E-04 D= -1.65049E-05 D= Aspheric coefficient (implementation Force 5) 2nd face 4th face 5th face 6th face κ = -6.00655E-01 K= -7.16039E+01 K II-3.34515E-01 K= Α= 3.44117E-03 Α= -1.15650E- 03 4.= 4.69937E-03 Α= Β= 8.18443E-04 Β= -3.52846E-04 Β= 7.35138E-04 Β= C= -2.31170E-04 C= - 1.72748E-05 c- 3.17308E-04 C 二D= 9.55030E-05 D= 1.30452E-06 D= -7.21655E-05 D= 8th, 9th, 10th, 11th, K = O.OOOOOE+OO K= 2.13464E+01 K= 0.00000E+00 K= Α- 1.73339E-02 Α= 1.39775E-02 Α= -1.50509E-03 Α Second Β = -7.99838E-03 Β Two-3.98003E-03 Β= -2.40619E-03 B II C= 3.39147E-03 C 2.41338E-03 C= 2.85439E-03 C= D= -2.76583E-04 D= 3.96756E-04 D= -5.80940E-07 D Two aspheric coefficients (implementation force 6) 2nd face 4th face 5th face 6th face κ = -6.25436E-01 K II 4.14989E+01 K= -4.49 297E-01 K 二Α II 4.16788E-03 A II-3.99431 E-03 Α II 5.24868E-03 k II B II 6.1 1730E-04 B II-4.96697E-04 B= 7.21250E-04 B II C= - 1.61700E-05 0= 3.68251 E-05 C= 2.80205E-04 C= D 二2.48953E-05 D= -2.04754E-05 D 二-1.41510E-04 D= 8th, 9th, 10th 11 faces K= 0.00000E+00 K 2.237383E+01 κ- 0.00000E+00 K 二Α= 1.35851E-02 A= 1.29903E-02 Α= -9.42049E-04 A Β= -5.18318E-03巳 = -3.46376E-03 Β II-3.56225E—03 B= C 22.55367E-03 C= 4.91215E-03 C= 3.06467E—03 C 2D II-2.32180E-05 D II-1.14685E-04 D II-7.38434E-05 D- 1.98981 E+00 -3.85293E - 03 5.59725E-04 -5.53083E-04 -6.53417E-05 O.OOOOOE+OO 1.55317E-02 -2.58735E-03 3.46993E-03 -1.13131E-03 -3.22752E+01 1.78154E - 03 1.70924E-04 -6.07973E-04 1.70285E-04 O.OOOOOE+OO 4.29743E-03 -3.88036E-03 4.16746E-03 -1.71460E - 03 -1.90004E+01 2.07963E-03 -1.66731 E-04 -6.81268E-04 2.17841E—04 O.OOOOOE+OO 4.77685E-03 4.73236E-03 4.16983E-03 1.41188E-03 Section 7B