Notice: More than one reissue application has been filed for the reissue of U.S. Pat. No. 7,466,497. The reissue applications are application Ser. No. 12/970,720 (a reissue application of U.S. Pat. No. 7,466,497, reissued as U.S. Pat. No. Re. 44,773), Ser. No. 14/153,566 (a divisional reissue of Ser. No. 12/970,720), and Ser. No. 14/153,710 (this application, a continuation reissue of Ser. No. 12/970,720), all of which are reissues of U.S. Pat. No. 7,466,497.

This application is a continuation reissue application of U.S. patent application Ser. No. 12/970,720, filed Dec. 16, 2010, which is an application for reissue of U.S. Pat. No. 7,466,497, the contents of which are incorporated herein by reference.

This application claims priority to an application entitled “Optical Imaging System,” filed with the Korean Intellectual Property Office on Jul. 7, 2005 and assigned Serial No. 2005-61174, the contents of which are incorporated herein by reference.

›BACKGROUND OF THE INVENTION

1. Field of the Invention

The present invention generally relates to an optical system, and more particularly to an optical system including multiple lens groups having a reduced volume.

2. Description of the Related Art

An optical imaging system includes imaging elements such as CCD imaging elements (charged coupled devices) or CMOS imaging elements (complimentary metal oxide semiconductors) and at least one lens group for use in various types of consumer products such as digital and monitoring cameras, personal computers, and the like.

The lens group typically includes at least one lens having undesirable aberration characteristics. These undesirable aberration characteristics are intrinsic to the lens and are generated due to the shape of the lens. The aberration characteristics can cause distortion of images in certain circumstances. Among the different type of aberrations, the spherical and coma aberrations, in particular, cannot be easily corrected and can cause image flares and other undesirable visual effects.

In order to solve problems caused by such lens aberrations, it has been previously proposed in the prior art to utilize a lens group including an aspheric lens for correcting the aberrations, or a thin film filter or an optical filter having a sharp surface which can restrict a portion of the light.

Further, recent developments in image devices for miniaturization and portability, for use in miniaturized optical imaging systems require mounting in the image devices.

Therefore, it would be desirable to have an improved optical imaging system that is miniaturized and whose optical characteristics exhibit minimal deterioration over time.

›SUMMARY OF THE INVENTION

Accordingly, the present invention has been made in view of the above-mentioned problems involved with the related art by providing an optical imaging system having a reduced volume and whose optical characteristics exhibit minimal deterioration over time.

One aspect of the present invention is to provide an optical imaging system including: a first lens group having a positive refractive power; a second lens group having a negative refractive power; a third lens group having a positive or negative power; and a fourth lens group having a positive or negative power.

›BRIEF DESCRIPTION OF THE DRAWINGS

FIGS. 1 to 14 are views illustrating optical imaging systems according to particular embodiments of the present invention.

›DETAILED DESCRIPTION

Hereinafter, embodiments of the present invention will be described with reference to the accompanying drawings. In the following description of the present invention, a detailed description of known functions and configurations incorporated herein is omitted to avoid making the subject matter of the present invention unclear.

FIG. 1 is a view for illustrating an optical system according to one embodiment of the present invention. Referring to FIG. 1 , an optical imaging system 10 , according to the present embodiment includes an image sensor S capable of photoelectric conversion, a first lens group G 1 , closest to a subject and having a positive refractive power, a second lens group G 2 having a negative refractive power, a third lens group G 3 having a positive or negative refractive power, and a fourth lens group G 4 having a positive or negative refractive power. The image sensor S is preferably embodied as a CCD or a CMOS imaging element, or the like.

Each of the first to fourth lens groups G 1 to G 4 can include an aspheric lens on at least one surface thereof. The fourth lens group G 4 is located adjacently to the image sensor S, and a parallel flat glass LP can be disposed between the fourth lens group G 4 and the image sensor S. The parallel flat glass LP is a thin film filter or an optical filter, and can function as an infrared absorption filter and the like.

The following formulas (1) to (5) illustrate the relationship between the focus distances focal lengths of the various lens groups G 1 to G 4 and the focus distance focal length of the optical imaging system 10 .

The first lens group G 1 includes at least one lens of a positive refractive power, and the optical imaging system 10 satisfies formula (1).

In formula (1), f denotes the synthetic focus distance total focal length of the optical imaging system and f 1 denotes the focus distance focal length of the first lens group.

The second lens group G 2 includes at least one lens of a negative refractive power, and its focus distance focal length satisfies formula (2).

In formula (2), f denotes the synthetic focus distance total focal length of the optical imaging system and f 2 denotes the focus distance focal length of the second lens group.

The third lens group G 3 includes at least one lens of a positive or negative refractive power, and its focus distance focal length can be set according to formula (3).

In formula (3), f denotes the synthetic focus distance total focal length of the optical imaging system and f 3 denotes the focus distance focal length of the third lens group.

The fourth lens group G 4 includes at least one lens of a positive or negative refractive power, and its focus distance focal length can be set according to formula (4).

In formula (4), f denotes the synthetic focus distance total focal length of the optical imaging system and f 4 denotes the focus distance focal length of the second lens group.

The optical imaging system 10 satisfies formula (5).

In formula ( 5 ), f denotes the synthetic focus distance total focal length of the optical imaging system and TTL denotes the distance from an iris surface to an imaging surface.

The optical imaging system 10 satisfies formula (6). The first and second lens groups G 1 and G 2 satisfy the optical axis direction size according to formula (6).

In formula (6), d 1 denotes a separated distance between the first lens group and the second lens group on the optical axis.

The third and fourth lens groups G 3 and G 4 satisfy the optical axis direction size according to formula (7).

In formula (7), d 3 denotes a separated distance between the third lens group and the fourth lens group on the optical axis.

The Abbe's numbers of the first and second lens groups G 1 and G 2 satisfy formula (8).

28.2<ν1−ν2<42.8 (8)

In formula (8), ν 1 and ν 2 denote Abbe's numbers representing the distribution dispersion characteristics of the first and second lens groups respectively.

The aspheric definition equation can be defined by formula (9) below.

In formula (9), x denotes the distance along the optical axis from the apex of the optical surface, y denotes the distance in the direction perpendicular to the optical axis, c denotes the curvature at the apex of the optical surface (the inverse of a curvature radius, c=1/r), K denotes the conic coefficient, and A, B, C, D and E denote the aspheric coefficients.

The following Tables 1 to 3 represent the curvatures at the lens surfaces, the distances between the lenses, and the thicknesses of the lenses of the optical imaging systems according to embodiments of the present invention.

The distances indicated in the aperture rows represent the distance from the stops in each embodiment to the first lens group or the incidence surface of the first lens. Further, the distances of the subject rows objects are the distances from the subjects objects to the optical systems of the corresponding embodiments, and approach infinity in the curvature.

Further, the curvatures of the surfaces indicated in respective rows of Tables 1 to 3 represent the curvatures at the apices of the optical surfaces. In Tables 1 to 3, the second and third surfaces correspond to the surfaces of both the first lens of the first lens group, and the fourth and the fifth surfaces of the second lens. The sixth and seventh surfaces correspond to the third lens, and the eighth and ninth surfaces correspond to the fourth lens. The tenth and eleventh surfaces correspond to both surfaces of the thin film filter or the optical filter, and the upper image surface corresponds to the sensor.

›Embodiment 1

The aspheric surfaces of the lenses constituting the optical imaging system according to the first embodiment are as presented in Table 4. The spherical surfaces and other conditions are as indicated in Table 1. The aspheric surfaces can be determined according to formula (9). The optical imaging system 10 according to the first embodiment includes a first lens group G 1 having a positive refractive power, a second lens group G 2 having a negative refractive power, a third lens group G 3 having a positive or negative refractive power, a fourth lens group G 4 having a positive or negative refractive power, a stop, and a thin film filter or an optical filter.

The stop is located on the incidence side of the optical imaging system 10 , and the introduced incident light is output to the first lens group G 1 . The stop is used to regulate the amount of the light introduced into the optical imaging system 10 , and is separated from the first lens group G 1 by 0.097005 mm.

The first lens group G 1 includes a first lens L 1 which outputs the light introduced incident through the stop to the second lens group G 2 . The first lens L 1 includes second and third surfaces R 1 and R 2 which are aspheric, formed of a material having a refractive index of 1.529960 and a distribution value dispersion constant of 55.8. The thickness of the first lens L 1 is 1.170132 mm. Note that the first surface designates the irisi stop.

The second lens group G 2 includes a second lens L 2 having a refractive index of 1.7552 and a distribution value dispersion constant of 27.53. The second lens L 2 has fourth and fifth surfaces R 3 and R 4 which are aspheric. Referring to Table 1, the second lens group G 2 is separated from the first lens L 1 by 0.14 mm, and the center of the curvature is located on the optical axis.

The third lens group G 3 includes a third lens L 3 . Both surfaces R 5 and R 6 of the third lens L 3 are aspheric. The third lens L 3 is separated from the second lens L 2 by 0.088064 mm, and has a thickness of 0.801423 mm. The third lens L 3 is formed of a material having a refractive index of 1.52996 and a distribution value dispersion constant of 55.8.

The fourth lens group G 4 includes a fourth lens L 4 . Both surfaces R 7 and R 8 of the fourth lens L 4 are aspheric. The fourth lens L 4 is formed of a material having a refractive index of 1.52996 and a distribution value dispersion constant of 55.8. The thin film filter or the optical filter LP is formed on one surface of a BSC7-HOYA substrate by optical thin film deposition, and outputs partially restricted light through the fourth lens L 4 . The thin film filter or the optical filter LP is separated from the fourth lens L 4 by 0.6 mm, and the thickness thereof is 0.3 mm.

›Embodiment 2

The optical imaging system 20 according to the second embodiment includes a first lens group G 1 having a positive refractive power, a second lens group G 2 having a negative refractive power, a third lens group G 3 having a positive or negative refractive power, a fourth lens group G 4 having a positive or negative refractive power, a stop, and a thin film filter or an optical filter (LP).

The first lens group G 1 includes a first lens L 1 , both surfaces R 1 and R 2 of which are aspheric. The thickness of the first lens L 1 is 1.174399 mm. The first lens L 1 is separated from the stop by 0.158423 mm.

The second lens group G 2 includes a second lens L 2 having a refractive index of 1.7552 and a distribution value dispersion constant of 27.53, and the second lens L 2 has fourth and fifth surfaces R 3 and R 4 which are aspheric. Referring to Table 1, the second lens L 2 is separated from the first lens L 1 by 0.05 mm, and has a thickness of 0.363658 mm.

The third lens group G 3 includes a third lens L 3 . Both surfaces R 5 and R 6 of the third lens L 3 are aspheric. The third lens L 3 is separated from the second lens L 2 by 0.626369 mm, and has a thickness of 1.200 mm. The third lens L 3 is formed of a material having a refractive index of 1.52996 and a distribution value dispersion constant of 55.8.

The aspheric specifications of the first to fourth lenses according to the second embodiment can be calculated as shown in Table 5 according to formula (9).

›Embodiment 3

The optical imaging system 30 according to the third embodiment includes a first lens group G 1 having a positive refractive power, a second lens group G 2 having a negative refractive power, a third lens group G 3 having a positive or negative refractive power, a fourth lens group G 4 having a positive or negative refractive power, a stop, and a thin film filter or an optical filter.

The first lens group G 1 includes a first lens L 1 , both surfaces R 1 and R 2 of which are aspheric. Referring to Table 1, the thickness of the first lens L 1 is 1.10000 mm. The first lens L 1 is separated from the stop by 0.18539 0.118 mm.

The second lens group G 2 includes a second lens L 2 having a refractive index of 1.7552 and a distribution value dispersion constant of 27.53. The second lens L 2 has fourth and fifth surfaces R 3 and R 4 which are aspheric. Referring to Table 1, the second lens L 2 is separated from the first lens L 1 by 0.103084 mm, and the thickness thereof is 0.671321 mm.

The third lens group G 3 includes a third lens L 3 . Both surfaces R 5 and R 6 of the third lens L 3 are aspheric. The third lens L 3 is separated from the second lens L 2 by 0.327722 mm, and has a thickness of 0.9 mm. The third lens L 3 is formed of a material having a refractive index of 1.48749 and a distribution value dispersion constant of 70.4058.

The fourth lens group G 4 includes a fourth lens L 4 . Both surfaces R 7 and R 8 of the fourth lens L 4 are aspheric. The fourth lens L 4 is formed of a material having a refractive index of 1.516799 and a distribution value dispersion constant of 56.3954. The thin film filter or the optical filter LP is formed on one surface of a BSC7-HOYA substrate by optical thin film deposition, and outputs partially restricted light through the fourth lens L 4 . The thin film filter or the optical filter LP is separated from the fourth lens L 4 by 1.2 mm.

The aspheric specifications of the first to fourth lenses according to the third embodiment can be calculated as shown in Table 6 according to formula (9).

›Embodiment 4

The optical imaging system 40 according to the fourth embodiment includes a first lens group G 1 having a positive refractive power, a second lens group G 2 having a negative refractive power, a third lens group G 3 having a positive or negative refractive power, a fourth lens group G 4 having a positive or negative refractive power, a stop, and a thin film filter or an optical filter.

The first lens group G 1 includes a first lens L 1 , both surfaces R 1 and R 2 of which are aspheric. Referring to Table 1, the thickness of the first lens L 1 is 1.16687 1.066 mm. The first lens L 1 is separated from the stop by 0.03 mm. The first lens L 1 is formed of a material having a refractive index of 1.531449 and a distribution value dispersion constant of 66.1381.

The second lens group G 2 includes a second lens L 2 having a refractive index of 1.671174 and a distribution value dispersion constant of 32.0197. The fourth and fifth surfaces R 3 and R 4 of the second lens L 2 are spherical. Referring to Table 1, the second lens L 2 is separated from the first lens L 1 by 0.102841 mm, and the thickness thereof is 0.3 mm.

The third lens group G 3 includes a third lens L 3 . Both surfaces R 5 and R 6 of the third lens L 3 are aspheric. The third lens L 3 is separated from the second lens L 2 by 0.746673 mm, and has a thickness of 0.9 0.797763 mm. The third lens L 3 is formed of a material having a refractive index of 1.532928 and a distribution value dispersion constant of 66.015.

The fourth lens group G 4 includes a fourth lens L 4 . Eighth and ninth surfaces R 7 and R 8 of the fourth lens L 4 are aspheric. The fourth lens L 4 is formed of a material having a refractive index of 1.545534 and a distribution value dispersion constant of 65.0098. The thin film filter or the optical filter LP is formed on one surface of a BSC7-HOYA substrate by optical thin film deposition, and outputs partially restricted light through the fourth lens L 4 . The thin film filter or the optical filter LP is separated from the fourth lens L 4 by 0.420622 mm.

The aspheric specifications of the first, third, and fourth lenses according to the fourth embodiment can be calculated as shown in Table 7 according to formula (9).

›Embodiment 5

The optical imaging system 50 according to the fifth embodiment includes a first lens group G 1 having a positive refractive power, a second lens group G 2 having a negative refractive power, a third lens group G 3 having a positive or negative refractive power, a fourth lens group G 4 having a positive or negative refractive power, a stop, and a thin film filter or an optical filter.

The first lens group G 1 includes a first lens L 1 in which both surfaces R 1 and R 2 are aspheric. Referring to Table 1, the thickness of the first lens L 1 is 1.5 mm. The first lens L 1 is separated from the stop by 0.059478 mm. The first lens L 1 is formed of a material having a refractive index of 1.533230 and a distribution value dispersion constant of 65.9899.

The second lens group G 2 includes a second lens L 2 having a refractive index of 1.755201 and a distribution value dispersion constant of 27.5795. The fourth and fifth surfaces R 3 and R 4 of the second lens L 2 are spherical. Referring to Table 1, the second lens L 2 is separated from the first lens L 1 by 0.466939 mm, and the thickness thereof is 0.6 mm.

The third lens group G 3 includes a third lens L 3 . The third lens L 3 includes sixth and seventh surfaces R 5 and R 6 which are aspheric. The third lens L 3 is separated from the second lens L 2 by 1.020392 mm, and has a thickness of 1.5 mm. The third lens L 3 is formed of a material having a refractive index of 1.526846 and a distribution value dispersion constant of 53.030473.

The fourth lens group G 4 includes a fourth lens L 4 . The fourth lens L 4 includes eighth and ninth surfaces R 7 and R 8 which are aspheric. The fourth lens L 4 is formed of a material having a refractive index of 1.537416 and a distribution value dispersion constant of 50.1447. The thin film filter or the optical filter LP is formed on one surface of a BSC7-HOYA substrate by optical thin film deposition, and outputs partially restricted light through the fourth lens L 4 . The thin film filter or the optical filter LP is separated from the fourth lens L 4 by 0.533392 mm.

The aspheric specifications of the first, third, and fourth lenses according to the fifth embodiment can be calculated as shown in Table 8 according to formula (9).

›Embodiment 6

The optical imaging system 60 according to the sixth embodiment includes a first lens group G 1 having a positive refractive power, a second lens group G 2 having a negative refractive power, a third lens group G 3 having a positive or negative refractive power, a fourth lens group G 4 having a positive or negative refractive power, a stop and a thin film filter or an optical filter.

The first lens group G 1 includes a first lens L 1 in which both surfaces R 1 and R 2 are aspheric. Referring to Table 2, the thickness of the first lens L 1 is 1.413171 mm. The first lens L 1 is separated from the stop by 0.647673 mm. The first lens L 1 is formed of a material having a refractive index of 1.529960 and a distribution value dispersion constant of 55.8.

The second lens group G 2 includes a second lens L 2 having a refractive index of 1.755201 and a distribution value dispersion constant of 27.5795. The fourth and fifth surfaces R 3 and R 4 of the second lens L 2 are spherical. Referring to Table 2, the second lens L 2 is separated from the first lens L 1 by 0.1 mm. The second lens L 2 has a thickness of 0.6 0.3 mm.

The third lens group G 3 includes a third lens L 3 . The third lens L 3 includes sixth and seventh surfaces R 5 and R 6 which are aspheric. The third lens L 3 is separated from the second lens L 2 by 2.126507 mm, and has a thickness of 0.8 mm. The third lens L 3 is formed of a material having a refractive index of 1.675133 and a distribution value dispersion constant of 49.8062.

The fourth lens group G 4 includes a fourth lens L 4 . The fourth lens L 4 includes eighth and ninth surfaces R 7 and R 8 which are aspheric. The fourth lens L 4 is formed of a material having a refractive index of 1.52996 and a distribution value dispersion constant of 55.8. The thin film filter or the optical filter LP is formed on one surface of a BSC7-HOYA substrate by optical thin film deposition, and outputs the light passed through the fourth lens L 4 , with the light partially restricted. The thin film filter or the optical filter LP is separated from the fourth lens L 4 by 0.657592 mm.

The aspheric specifications of the first, third, and fourth lenses according to the sixth embodiment can be calculated as shown in Table 9 according to formula (9).

›Embodiment 7

The optical imaging system 70 according to the seventh embodiment includes a first lens group G 1 having a positive refractive power, a second lens group G 2 having a negative refractive power, a third lens group G 3 having a positive or negative refractive power, a fourth lens group G 4 having a positive or negative refractive power, a stop, and a thin film filter or an optical filter.

The first lens group G 1 includes a first lens L 1 . The second and third surfaces R 1 and R 2 of the first lens L 1 are aspheric. Referring to Table 2, the thickness of the first lens L 1 is 1.5 mm. The first lens L 1 is separated from the stop by 0.346363 mm. The first lens L 1 is formed of a material having a refractive index of 1.529960 and a distribution value dispersion constant of 55.8.

The second lens group G 2 includes a second lens L 2 having a refractive index of 1.755201 and a distribution value dispersion constant of 27.5795. The fourth and fifth surfaces R 3 and R 4 of the second lens L 2 are spherical. Referring to Table 2, the second lens L 2 is separated from the first lens L 1 by 0.132395 mm. The second lens has a thickness of 0.6 mm.

The third lens group G 3 includes a third lens L 3 . The third lens L 3 includes sixth and seventh surfaces R 5 and R 6 which are aspheric. The third lens L 3 is separated from the second lens L 2 by 1.082514 mm, and has a thickness of 0.8 mm. The third lens L 3 is formed of a material having a refractive index of 1.52996 and a distribution value dispersion constant of 55.8.

The fourth lens group G 4 includes a fourth lens L 4 . The fourth lens L 4 includes eighth and ninth surfaces R 7 and R 8 which are aspheric. The fourth lens L 4 is formed of a material having a refractive index of 1.581283 and a distribution value dispersion constant of 62.5343. The thin film filter or the optical filter LP is formed on one surface of a BSC7-HOYA substrate by optical thin film deposition, and outputs partially restricted light through the fourth lens L 4 . The thin film filter or the optical filter LP is separated from the fourth lens L 4 by 0.568307 mm.

The aspheric specifications of the first, third, and fourth lenses according to the seventh preferred embodiment can be calculated as shown in Table 10 according to formula (9).

›Embodiment 8

The optical imaging system 80 according to the eighth embodiment includes a first lens group G 1 having a positive refractive power, a second lens group G 2 having a negative refractive power, a third lens group G 3 having a positive or negative refractive power, a fourth lens group G 4 having a positive or negative refractive power, a stop, and a thin film filter or an optical filter.

The first lens group G 1 includes a first lens L 1 . The second and third surfaces R 1 and R 2 of the first lens L 1 are aspheric. Referring to Table 2, the thickness of the first lens L 1 is 0.873219 mm. The first lens L 1 is separated from the stop by 0.455563 mm. The first lens L 1 is formed of a material having a refractive index of 1.618194 and a distribution value dispersion constant of 60.4374.

The second lens group G 2 includes a second lens L 2 having a refractive index of 1.755201 and a distribution value dispersion constant of 27.5795. The fourth and fifth surfaces R 3 and R 4 of the second lens L 2 are spherical. Referring to Table 2, the second lens L 2 is separated from the first lens L 1 by 0.145862 mm. The second lens has a thickness of 0.3 mm.

The third lens group G 3 includes a third lens L 3 . The third lens L 3 includes sixth and seventh surfaces R 5 and R 6 which are aspheric. The third lens L 3 is separated from the second lens L 2 by 0.162161 mm, and has a thickness of 1.936693 mm. The third lens L 3 is formed of a material having a refractive index of 1.62041 and a distribution value dispersion constant of 60.3236.

The fourth lens group G 4 includes a fourth lens L 4 . The fourth lens L 4 includes eighth and ninth surfaces R 7 and R 8 which are aspheric. The fourth lens L 4 is formed of a material having a refractive index of 1.755201 and a distribution value dispersion constant of 27.5795. The thin film filter or the optical filter LP is formed on one surface of a BSC7-HOYA substrate by optical thin film deposition, and outputs partially restricted light passed through the fourth lens L 4 . The thin film filter or the optical filter LP is separated from the fourth lens L 4 by 0.75533392 mm.

The aspheric specifications of the first, third, and fourth lenses according to the fifth embodiment can be calculated as shown in Table 11 according to formula (9).

›Embodiment 9

The optical imaging system 90 according to the ninth embodiment includes a first lens group G 1 having a positive refractive power, a second lens group G 2 having a negative refractive power, a third lens group G 3 having a positive or negative refractive power, a fourth lens group G 4 having a positive or negative refractive power, a stop, and a thin film filter or an optical filter.

The first lens group G 1 includes a first lens L 1 . The second and third surfaces R 1 and R 2 are aspheric. Referring to Table 2, the thickness of the first lens L 1 is 1.151183 mm. The first lens L 1 is separated from the stop by 0.03 mm. The first lens L 1 is formed of a material having a refractive index of 1.544806 and a distribution value dispersion constant of 65.0658.

The second lens group G 2 includes a second lens L 2 having a refractive index of 1.730603 and a distribution value dispersion constant of 29.7565. The fourth and fifth surfaces R 3 and R 4 of the second lens L 2 are spherical. Referring to Table 2, the second lens L 2 is separated from the first lens L 1 by 0.1 mm. The second lens has a thickness of 0.359346 mm.

The third lens group G 3 includes a third lens L 3 . The third lens L 3 includes sixth and seventh surfaces R 5 and R 6 which are aspheric. The third lens L 3 is separated from the second lens L 2 by 2.268589 mm, and has a thickness of 0.958835 mm. The third lens L 3 is formed of a material having a refractive index of 1.581703 and a distribution value dispersion constant of 41.1859.

The fourth lens group G 4 includes a fourth lens L 4 . The fourth lens L 4 includes eighth and ninth surfaces R 7 and R 8 which are aspheric. The fourth lens L 4 is formed of a material having a refractive index of 1.590309 and a distribution value dispersion constant of 61.9836. The thin film filter or the optical filter LP is formed on one surface of a BSC7-HOYA substrate by optical thin film deposition, and outputs partially restricted light through the fourth lens L 4 . The thin film filter or the optical filter LP is separated from the fourth lens L 4 by 0.635425 mm.

The aspheric specifications of the first, third, and fourth lenses according to the ninth embodiment can be calculated as shown in Table 12 according to formula (9).

›Embodiment 10

The optical imaging system 100 according to the tenth embodiment includes a first lens group G 1 having a positive refractive power, a second lens group G 2 having a negative refractive power, a third lens group G 3 having a positive or negative refractive power, a fourth lens group G 4 having a positive or negative refractive power, a stop, and a thin film filter or an optical filter.

The first lens group G 1 includes a first lens L 1 . The second and third surfaces R 1 and R 2 of the first lens are aspheric. Referring to Table 2, the thickness of the first lens L 1 is 1.040923 mm. The first lens L 1 is separated from the stop by 0.112233 mm. The first lens L 1 is formed of a material having a refractive index of 1.529960 and a distribution value dispersion constant of 55.8.

The second lens group G 2 includes a second lens L 2 having a refractive index of 1.75520 and a distribution value dispersion constant of 27.5305. The fourth and fifth surfaces R 3 and R 4 of the second lens L 2 are spherical. Referring to Table 2, the center portion of the second lens L 2 makes contact with the center of the first lens L 1 , and the thickness thereof is 0.6 mm.

The third lens group G 3 includes a third lens L 3 . The third lens L 3 includes sixth and seventh surfaces R 5 and R 6 which are aspheric. The third lens L 3 is separated from the second lens L 2 by 0.75876 mm, and has a thickness of 0.8 mm. The third lens L 3 is formed of a material having a refractive index of 1.529960 and a distribution value dispersion constant of 55.8.

The fourth lens group G 4 includes a fourth lens L 4 . The fourth lens L 4 includes eighth and ninth surfaces R 7 and R 8 which are aspheric. The fourth lens L 4 is formed of a material having a refractive index of 1.529960 and a distribution value dispersion constant of 55.8. The thin film filter or the optical filter LP is formed on one surface of a BSC7-HOYA substrate by optical thin film deposition, and outputs partially restricted light through the fourth lens L 4 . The thin film filter or the optical filter LP is separated from the fourth lens L 4 by 0.6 mm.

The aspheric specifications of the first, third, and fourth lenses according to the tenth embodiment can be calculated as shown in Table 3 according to formula (9).

›Embodiment 11

The optical imaging system 50 according to the eleventh embodiment includes a first lens group G 1 having a positive refractive power, a second lens group G 2 having a negative refractive power, a third lens group G 3 having a positive or negative refractive power, a fourth lens group G 4 having a positive or negative refractive power, a stop, and a thin film filter or an optical filter.

The first lens group G 1 includes a first lens L 1 . The second and third surfaces R 1 and R 2 of the first lens L 1 are aspheric. Referring to Table 3, the thickness of the first lens L 1 is 1.4903 0.4903 mm. The first lens L 1 is separated from the stop by 0.122343 mm. The first lens L 1 is formed of a material having a refractive index of 1.529960 and a distribution value dispersion constant of 55.8.

The second lens group G 2 includes a second lens L 2 having a refractive index of 1.75520 and a distribution value dispersion constant of 27.5305. The fourth and fifth surfaces R 3 and R 4 of the second lens L 2 are aspheric. Referring to Table 3, the second lens L 2 is separated from the first lens L 1 by 2.001108 mm. The second lens has a thickness of 0.3 mm.

The third lens group G 3 includes a third lens L 3 . The third lens L 3 includes sixth and seventh surfaces R 5 and R 6 which are aspheric. The third lens L 3 is separated from the second lens L 2 by 0.672147 mm, and has a thickness of 1.123412 mm. The third lens L 3 is formed of a material having a refractive index of 1.529960 and a distribution value dispersion constant of 55.8.

The fourth lens group G 4 includes a fourth lens L 4 . The fourth lens L 4 includes eighth and ninth surfaces R 7 and R 8 which are aspheric. The fourth lens L 4 is formed of a material having a refractive index of 1.529960 and a distribution value dispersion constant of 55.8. The thin film filter or the optical filter LP is formed on one surface of a BSC7-HOYA substrate by optical thin film deposition, and outputs partially restricted light through the fourth lens L 4 . The thin film filter or the optical filter LP is separated from the fourth lens L 4 by 0.53333 mm.

The aspheric specifications of the first, third, and fourth lenses according to the eleventh embodiment can be calculated as shown in Table 14 according to formula (9).

›Embodiment 12

The optical imaging system 120 according to the twelfth embodiment includes a first lens group G 1 having a positive refractive power, a second lens group G 2 having a negative refractive power, a third lens group G 3 having a positive or negative refractive power, a fourth lens group G 4 having a positive or negative refractive power, a stop, and a thin film filter or an optical filter.

The first lens group G 1 includes a first lens L 1 . The second and third surfaces R 1 and R 2 of the first lens L 1 are aspheric. Referring to Table 3, the thickness of the first lens L 1 is 1.219838 mm. The first lens L 1 is separated from the stop by 0.172863 mm. The first lens L 1 is formed of a material having a refractive index of 1.532889 and a distribution value dispersion constant of 66.0182.

The second lens group G 2 includes a second lens L 2 having a refractive index of 1.75520 and a distribution value dispersion constant of 27.5795. The fourth and fifth surfaces R 3 and R 4 of the second lens L 2 are spherical. Referring to Table 3, the second lens L 2 is separated from the first lens L 1 by 0.0.159417 0.159417 mm. The second lens has a thickness of 0.427352 mm.

The third lens group G 3 includes a third lens L 3 . The third lens L 3 includes sixth and seventh surfaces R 5 and R 6 which are aspheric. The third lens L 3 is separated from the second lens L 2 by 0.742239 mm, and has a thickness of 0.8 mm. The third lens L 3 is formed of a material having a refractive index of 1.5296 and a distribution value dispersion constant of 55.8.

The fourth lens group G 4 includes a fourth lens L 4 . The fourth lens L 4 includes eighth and ninth surfaces R 7 and R 8 which are aspheric. The fourth lens L 4 is formed of a material having a refractive index of 1.529960 and a distribution value dispersion constant of 55.8. The thin film filter or the optical filter LP is formed on one surface of a BSC7-HOYA substrate by optical thin film deposition, and outputs partially restricted light through the fourth lens L 4 . The thin film filter or the optical filter LP is separated from the fourth lens L 4 by 0.7 mm.

The aspheric specifications of the first, third, and fourth lenses according to the twelfth embodiment can be calculated as shown in Table 15 according to formula (9).

›Embodiment 13

The optical imaging system 130 according to the thirteenth embodiment includes a first lens group G 1 having a positive refractive power, a second lens group G 2 having a negative refractive power, a third lens group G 3 having a positive or negative refractive power, a fourth lens group G 4 having a positive or negative refractive power, a stop, and a thin film filter or an optical filter.

The first lens group G 1 includes a first lens L 1 . The second and third surfaces R 1 and R 2 of the first lens L 1 are aspheric. Referring to Table 1, the thickness of the first lens L 1 is 0.812558 mm. The first lens L 1 is separated from the stop by 0.03 mm. The first lens L 1 is formed of a material having a refractive index of 1.602778 and a distribution value dispersion constant of 61.2648.

The second lens group G 2 includes a second lens L 2 having a refractive index of 1.742011 and a distribution value dispersion constant of 28.1334. The fourth and fifth surfaces R 3 and R 4 of the second lens L 2 are spherical. Referring to Table 3, the second lens L 2 is separated from the first lens L 1 by 0.1 mm. The second lens L 2 has a thickness of 0.3 mm.

The third lens group G 3 includes a third lens L 3 . The third lens L 3 includes sixth and seventh surfaces R 5 and R 6 which are aspheric. The third lens L 3 is separated from the second lens L 2 by 0.556157 mm, and has a thickness of 0.8 mm. The third lens L 3 is formed of a material having a refractive index of 1.743972 and a distribution value dispersion constant of 44.8504.

The fourth lens group G 4 includes a fourth lens L 4 . The fourth lens L 4 includes eighth and ninth surfaces R 7 and R 8 which are aspheric. The fourth lens L 4 is formed of a material having a refractive index of 1.719343 and a distribution value dispersion constant of 29.1913. The thin film filter or the optical filter LP is formed on one surface of a BSC7-HOYA substrate by optical thin film deposition, and outputs partially restricted light through the fourth lens L 4 . The thin film filter or the optical filter LP is separated from the fourth lens L 4 by 0.4 mm.

The aspheric specifications of the first, third, and fourth lenses according to the thirteenth embodiment can be calculated as shown in Table 16 according to formula (9).

›Embodiment 14

The optical imaging system 140 according to the fourteenth embodiment includes a first lens group G 1 having a positive refractive power, a second lens group G 2 having a negative refractive power, a third lens group G 3 having a positive or negative refractive power, a fourth lens group G 4 having a positive or negative refractive power, a stop, and a thin film filter or an optical filter.

The first lens group G 1 includes a first lens L 1 . The second and third surfaces R 1 and R 2 of the first lens L 1 are aspheric. Referring to Table 3, the thickness of the first lens L 1 is 1.1 mm. The first lens L 1 is separated from the stop by 0.480264 mm. The first lens L 1 is formed of a material having a refractive index of 1.529960 and a distribution value dispersion constant of 55.8.

The second lens group G 2 includes a second lens L 2 having a refractive index of 1.75520 and a distribution value dispersion constant of 27.5795. The fourth and fifth surfaces R 3 and R 4 of the second lens L 2 are spherical. Referring to Table 3, the second lens L 2 is separated from the first lens L 1 by 0.1 mm. The second lens has a thickness of 0.1 0.5 mm.

The third lens group G 3 includes a third lens L 3 . The third lens L 3 includes sixth and seventh surfaces R 5 and R 6 which are aspheric. The third lens L 3 is separated from the second lens L 2 by 2.235814 mm, and has a thickness of 0.5 0.54408 mm. The third lens L 3 is formed of a material having a refractive index of 1.675133 and a distribution value dispersion constant of 40.8062.

The fourth lens group G 4 includes a fourth lens L 4 . The fourth lens L 4 includes eighth and ninth surfaces R 7 and R 8 which are aspheric. The fourth lens L 4 is formed of a material having a refractive index of 1.529960 and a distribution value dispersion constant of 55.8. The thin film filter or the optical filter LP is formed on one surface of a BSC7-HOYA substrate by optical thin film deposition, and outputs partially restricted light through the fourth lens L 4 . The thin film filter or the optical filter LP is separated from the fourth lens L 4 by 0.63848 mm.

The aspheric specifications of the first, third, and fourth lenses according to the fourteenth embodiment can be calculated as shown in Table 17 according to formula (9).

In sum, the optical imaging system of the present invention reduces the volume and minimizes the deterioration of the optical characteristics, such as flares, with a high resolution.

While the invention has been shown and described with reference to certain preferred embodiments thereof, it will be understood by those skilled in the art that various changes in form and details may be made therein without departing from the spirit and scope of the invention as defined by the appended claims.

›Tables in the description — 24

0.3	<
	f	1	f
<	3.1
(	1	)

0.3	<
			f	2		f
<	8.99
(	2	)

0.19	<
			f	3		f
<	∞
(	3	)

0.15	<
			f	4		f
<	∞
(	4	)

0.45	<
f	TTL
<	1.01
(	5	)

0	<
	d	1	TTL
<	0.26
(	6	)

0	<
	d	3	TTL
<	0.40
(	7	)

TABLE 1

	Embodiment 1	Embodiment 2	Embodiment 3	Embodiment 4	Embodiment 5
	Curvature		Curvature		Curvature		Curvature		Curvature
	radius		radius		radius		radius		radius
	(c r)	Distance	(c r)	Distance	(c r)	Distance	(c r)	Distance	(c r)	Distance
Subject	∞	∞	∞	∞	∞	∞	∞	∞	∞	∞
Object
Aperture	∞	0.097	∞	0.158	∞	0.118	∞	0.030	∞	0.0594
Stop
2;R1	2.308	1.17	1.90143	1.174	3.27233	1.100	2.31076	1.066	2.9744	1.500
3;R2	−6.369	0.14	−1.20746	0.050	4.67332	0.103	−7.4386	0.10	−8.7847	0.4669
4;R3	−396.532	0.5357	−1.74939	0.363658	3.28408	0.671321	13.09940	0.300	19.62274	0.6000
5;R4	3.85393	0.8800640	4.33678	0.626369	2.76273	0.32772	3.44803	0.74667	3.68254	1.020392
6;R5	−2.81024	0.801423	−2.16510	1.200	−9.54821	0.900	−2.37523	0.797763	49.3243	1.500
7;R6	−1.30844	0.108171	−1.54462	0.959357	−1.66438	0.035965	−1.17766	0.061159	−0.6061	0.3000
8;R7	2.78412	0.798390	22.78452	0.643246	2.38024	0.750438	2.7701	0.813576	−0.9404	0.8410
9;R8	1.10058	0.6	2.80755	0.300	1.31748	1.200	1.10025	0.420	1.3115	0.5333
10 th	∞	0.3	∞	0.300	∞	0.345836	∞	0.300	∞	0.400
surface
11 th	∞	0.594705	∞	0.78896	∞	1.808969	∞	0.729	∞	0.552
surface
Upper	∞	−0.004867	∞	0.060517	∞	−0.024762	∞	−0.001979	∞	−0.0229
Image
surface

TABLE 2

	Embodiment 6	Embodiment 7	Embodiment 8	Embodiment 9	Embodiment 10
	Curvature		Curvature		Curvature		Curvature		Curvature
	radius		radius		radius		radius		radius
	(c r)	Distance	(c r)	Distance	(c r)	Distance	(c r)	Distance	(c r)	Distance
Subject	∞	∞	∞	∞	∞	∞	∞	∞	∞	∞
Object
Aperture	∞	0.6476	∞	0.3463	∞	0.4555	∞	0.030	∞	0.112
Stop
2 nd	3.13902	1.4131	2.66332	1.5000	3.25081	0.8732	2.68778	1.151	2.32028	1.0409
surface
3 rd	−3.0951	0.1000	−3.9930	0.1323	−3.4043	0.1458	−6.9943	0.100	−6.2290	0.000
surface
4 th	−3.2023	0.3000	−5.3522	0.6000	−2.6909	0.3000	−12.169	0.339	−40.0905	0.600
surface								0.359
5 th	−17.430	2.1265	8.06170	1.0825	17.0230	0.1621	8.28938	2.268	4.30201	0.758760
surface
6 th	−2.5800	0.8000	−1.9343	0.8000	−13.170	1.9366	−3.1380	0.958	−2.3804	0.800
surface
7 th	−2.9025	0.0300	−1.6944	0.0300	−1.0714	0.0300	−2.2201	0.571	−1.18271	0.050
surface
8 th	1.6766	1.0510	1.43882	0.8278	2.07137	0.5406	−46.094	0.439512	2.97821	0.759082
surface
9 th	1.280758	0.6575	1.13450	0.5683	1.00140	0.7500	3.15688	0.635425	1.14396	0.60000
surface
10 th	∞	0.3999	∞	0.3384	∞	0.3999	∞	0.400	∞	0.300
surface
11 th	∞	0.5012	∞	1.0033	∞	0.3940	∞	1.087873	∞	1.15
surface
Upper	∞	−0.001	∞	−0.0033	∞	0.0115	∞	−0.0026	∞	+0.001717
Image
surface

TABLE 3

	Embodiment 11	Embodiment 12	Embodiment 13	Embodiment 14
	Curva-		Curva-		Curva-		Curva-
	ture		ture		ture		ture
	radius	Dist-	radius	Dist-	radius	Dist-	radius	Dist-
	(c r)	ance	(c r)	ance	(c r)	ance	(c r)	ance
Subject	∞	∞	∞	∞	∞	∞	∞	∞
Object
Aperture	∞	0.122343	∞	0.172863	∞	0.0300	∞	0.480264
Stop
2 nd surface	3.87998	0.490300	2.31854	1.219838	4.41591	0.81255	3.01153	1.10000
3 rd surface	−20.7340	2.001108	−6.32101	0.159417	−5.0714	0.1000	−3.45345	0.10000
4 th surface	7.75795	0.300000	−302.670	0.427352	−4.568	0.3000	−3.57593	0.50000
5 th surface	3.60180	0.672147	3.93461	0.742239	17.81786	0.55615	−25.0277	2.23581
6 th surface	−5.48009	1.123412	−2.26332	0.80000	−10.2402	0.8000	−2.62654	0.54408
7 th surface	−1.75190	0.03000	−1.16737	0.000	−3.2556	2.9643	−2.8477	0.08336
8 th surface	4.24622	1.243467	2.65978	0.796021	6.79551	0.7000	1.58235	0.88966
9 th surface	1.69995	0.53333	1.10575	0.70000	2.49781	0.4000	1.22608	0.63848
10 th	∞	0.399997	∞	0.3000	∞	0.4000	∞	0.39999
surface
11 th	∞	0.85132	∞	0.69052	∞	0.3855	∞	0.60000
surface
Upper	∞	−0.0126	∞	0.005756	∞	−0.0054	∞	−0.00001
Image
surface

TABLE 4

	K	A	B	C	D	E
2(R1)	−0.293462	−0.500119E−02	0.174440E−01	−0.454965E−01	0.46924E−01	−0.195854E−01
3(R2)	−9.260888	−0.800894E−02	−0.853100E−02	−0.490518E−02	−0.122591E−02	0.122831E−03
4(R3)	106224.0635	−0.120921E−01	−0.705929E−02	−0.207145E−02	−0.161995E−03	−0.210957E−03
5(R4)	0.365689	0.749905E−03	0.131150E−02	0.778014E−04	−0.121719E−03	0.572661E−03
6(R5)	−24.431171	−0.672890E−01	0.18948E−01	0.961734E−02	−0.435003E−02	0.806518E−03
7(R6)	−2.571360	−0.335648E−01	−0.109854E−01	0.181423E−01	−0.489429E−02	0.747733E−03
8(R7)	−17.862211	−0.795409E−01	0.310568E−01	−0.553846E−02	0.730076E−04	0.544935E−04
9(R8)	−4.629831	−0.533642E−01	0.17364E−01	−0.392400E−02	0.440467E−03	−0.212501E−04

TABLE 5

	K	A	B	C	D	E
2(R1)	−0.257713	−0.515708E−02	0.209747E−01	−0.505970E−01	0.447308E−01	−0.188477E−01
3(R2)	−18.708087	−0.1032054E−01	−0.105518E−01	−0.865314E−02	−0.272928E−02	0.123342E−03
4(R3)	−43.346401	−0.181606E−01	−0.384568E−02	0.397337E−03	−0.676785E−03	−0.185398E−02
5(R4)	−0.927369	−0.184534E−02	0.328550E−01	0.145702E−01	−0.330705E−02	0.451156E−03
6(R5)	1.000662	−0.114554E+00	0.213009E−01	0.28671E−01	0.193745E−02	−0.723361E−02
7(R6)	−1.421093	−0.372122E−01	−0.953273E−02	0.172586E−01	−0.507483E−02	0.456643E−03
8(R7)	−2680755.274	−0.776437E−01	0.326426E−01	−0.516378E−02	0.139662E−03	0.354080E−05
9(R8)	−8.098312	−0.608029E−01	0.173038E−01	−0.354982E−02	0.459123E−03	−0.308217E−04

TABLE 6

	K	A	B	C	D	E
2(R1)	−1.835982	−0.540163E−02	0.375499E−02	−0.142352E−01	0.131732E−01	−0.519886E−02
3(R2)	−41.048843	−0.229191E−02	−0.938832E−02	0.209185E−02	0.433396E−02	−0.111937E−02
4(R3)	−11.973390	−0.112168E−01	−0.268986E−02	−0.187660E−03	0.394245E−03	−0.289163E−03
5(R4)	−1.905279	−0.658295E−02	0.186594E−03	−0.748272E−03	−0.467662E−03	0.229792E−04
6(R5)	−276.330987	−0.708063E−2	0.914221E−02	0.288806E−02	−0.131006E−02	−0.158700E−03
7(R6)	−3.139053	−0.110843E−01	−0.336114E−02	0.786618E−02	−0.901802E−03	0.284397E−03
8(R7)	−1.570846	−0.495767E−01	0.157197E−01	−0.238177E−02	0.155217E−04	0.480583E−04
9(R8)	−3.484978	−0.155739E−01	0.599301E−01	−0.140844E−02	0.125464E−03	0.154242E−04

TABLE 7

	K	A	B	C	D	E
2(R1)	−0.414786	−0.681554E−02	0.202808E−01	−0.458051E−01	0.486110E−01	−0.192443E−01
3(R2)	−47.977483	0.753038E−03	−0.494574E−03	−0.938500E−03	−0.477371E−03	0.427775E−03
4(R3)
5(R4)
6(R5)	−15.896356	−0.668718E−1	0.195572E−01	0.949661E−02	−0.450552E−02	0.799452E−03
7(R6)	−2.447435	−0.355564E−01	−0.106736E−01	0.187415E−01	−0.453123E−02	0.913004E−03
8(R7)	−13.319650	−0.816238E−01	0.306218E−01	−0.557765E−02	0.732077E−04	0.574664E−04
9(R8)	−4.692781	−0.568388E−01	0.179127E−01	−0.392127E−02	0.437571E−03	−0.21894E−04

TABLE 8

	K	A	B	C	D	E
2(R1)	−0.394400	−0.272171E−02	0.416066E−02	−0.607051E−02	0.380128E−02	−0.863417E−03
3(R2)	−24.090048	−0.412473E−03	0.555552E−03	−0.275809E−03	−0.176666E−03	0.988739E−04
4(R3)
5(R4)
6(R5)	276.291590	−0.271502E−1	0.329418E−02	0.106440E−02	−0.323744E−03	0.428169E−04
7(R6)	−3.116597	−0.205921E−01	−0.130529E−02	0.278790E−02	−0.318606E−03	0.358108E−04
8(R7)	−6.168567	−0.189375E−01	0.732132E−02	−0.780195E−03	0.685421E−05	0.328986E−05
9(R8)	−15.211827	−0.200112E−01	0.342095E−02	−0.566744E−03	0.330318E−04	−0.670599E−06

TABLE 9

	K	A	B	C	D	E
2(R1)	−0.519080	−0.306884E−02	0.210023E−02	−0.511064E−02	0.297608E−02	−0.933653E−03
3(R2)	−1.903494	−0.119853E−01	−0.166943E−02	−0.779414E−03	0.297154E−03	−0.211494E−03
4(R3)
5(R4)
6(R5)	−23.161960	−0.342151E−01	0.297570E−02	0.127086E−02	−0.331654E−03	−0115883E−05
7(R6)	−2.184987	−0.101073E−01	−0.928938E−03	0.229837E−02	−0.435484E−03	0.286609E−04
8(R7)	−6.252505	−0.387574E−01	0.750058E−02	−0.666702E−03	0.344665E−05	0.497617E−06
9(R8)	−3.730467	−0.209098E−01	0.387332E−02	−0.561418E−03	0.327093E−04	−0.126355E−05

TABLE 10

	K	A	B	C	D	E
2(R1)	−0.225057	−0.331040E−02	0.124863E−01	−0.182585E−01	0.133184E−01	−0.345182E−02
3(R2)	−8.046311	−0.167705E−02	0.328944E−02	−0.511098E−03	−0.598276E−04	0.289249E−03
4(R3)
5(R4)
6(R5)	−16.247560	−0.465774E−01	0.113697E−01	0.484777E−02	−0.139992E−02	0.124383E−03
7(R6)	−1.681469	−0.201264E−01	−0.355531E−02	0.780629E−02	−0.305484E−04	0.221913E−03
8(R7)	−3.679745	−0.597223E−01	0.166450E−01	−0.222994E−02	0.305484E−04	0.102808E−04
9(R8)	−3.208375	−0.436003E−01	0.103498E−01	−0.174130E−02	0.143919E−03	−0.563246E−05

TABLE 11

	K	A	B	C	D	E
2(R1)	−1.191537	−0.688942E−02	0.45124E−02	−0.510228E−02	0.398074E−02	−0.101575E−02
3(R2)	−18.472343	−0.122184E−01	−0.263919E−03	0.484905E−03	−0.122042E−03	−0.255869E−03
4(R3)
5(R4)
6(R5)	−131.77000	−0.157791E−01	0.64132E−02	0.126895E−02	−0.440931E−03	−0.131678E−04
7(R6)	−1.874970	−0.219439E−01	−0.444306E−02	0.215012E−02	−0.346726E−03	0.643482E−04
8(R7)	−2.843204	−0.606407E−01	0.869752E−02	0.885038E−04	0.256944E−04	−0.27499E−04
9(R8)	−2.494280	−0.463456E−01	0.597186E−02	−0.418213E−03	0.361972E−04	−0.371985E−05

TABLE 12

	K	A	B	C	D	E
2(R1)	−0.430373	−0.390591E−02	0.392143E−02	−0.677606E−02	0.349668E−02	−0.844170E−03
3(R2)	−1.343031	−0.390591E−02	−0.221724E−02	−0.442053E−03	0.325453E−04	−0.124565E−03
4(R3)
5(R4)
6(R5)	−7.614910	−0.468815E−01	0.861470E−03	0.504936E−03	−0.657574E−03	0.716095E−04
7(R6)	−4.320744	−0.814544E−02	−0.177486E−02	0.246353E−02	−0.378555E−03	0.360668E−04
8(R7)	−3006.0608	−0.313430E−01	0.768252E−02	−0.638911E−03	0.198217E−04	0.177158E−06
9(R8)	−14.736676	−0.325749E−01	0.463409E−02	−0.543938E−03	0.288680E−03	0.146074E−06

TABLE 13

	K	A	B	C	D	E
2(R1)	−0.243705	−0.472572E−02	0.208724E−01	−0.465959E−01	0.472830E−01	−0.179069E−01
3(R2)	−35.906408	−0.733648E−03	0.135638E−02	−0.206406E−03	−0.275201E−03	−0.584975E−04
4(R3)
5(R4)
6(R5)	−15.792759	−0.660694E−01	0.201054E−01	0.975285E−02	−0.440095E−02	0.84255E−03
7(R6)	−2.490058	−0.354334E−01	−0.109024E−01	0.185847E−01	−0.460071E−02	0.887947E−03
8(R7)	−17.989764	−0.827253E−01	0.309534E−01	−0.550268E−02	0.881897E−04	0.596575E−04
9(R8)	−5.078902	−0.565618E−01	0.183829E−01	−0.389874E−02	0.438295E−03	−0.216645E−04

TABLE 14

	K	A	B	C	D	E
2(R1)	−0.325702	−0.246211E−02	0.388533E−02	−0.604015E−02	0.380199E−02	−0.943180E−03
3(R2)	−41.631817	0.494266E−05	0.263179E−03	−0.354857E−03	−0.299644E−03	0.164888E−03
4(R3)
5(R4)
6(R5)	42.685665	−0.286127E−01	0.464775E−02	0.147457E−02	−0.275325E−03	0.261278E−04
7(R6)	−2.322289	−0.142459E−01	−0.222570E−02	0.252860E−01	−0.342195E−03	0.386791E−04
8(R7)	−5.810899	−0.278816E−01	0.765382E−02	−0.752745E−03	0.209383E−05	0.21670E−053
9(R8)	−4.064375	−0.271353E−01	0.394463E−02	−0.533443E−03	0.332976E−04	−0.893693E−06

TABLE 15

	K	A	B	C	D	E
2(R1)	−0.293313	−0.542927E−02	0.212559E−01	−0.461572E−01	0.474595E−01	−0.180297E−01
3(R2)	−35.036564	0.831924E−03	0.133528E−02	0.317237E−03	0.719662E−05	0.460349E−05
4(R3)
5(R4)
6(R5)	−15.407195	−0.672666E−1	0.193978E−01	0.951188E−02	−0.442031E−02	0.886980E−03
7(R6)	−2.475560	−0.356856E−01	−0.108935E−01	0.186240E−01	−0.459365E−02	0.878806E−03
8(R7)	−14.369332	−0.818601E−01	0.304820E−01	−0.560236E−02	0.815708E−04	0.625730E−04
9(R8)	−5.062053	−0.596198E−01	0.176196E−01	−0.390136E−02	0.437454E−03	−0.222993E−04

TABLE 16

	K	A	B	C	D	E
2(R1)	−3.105139	−0.765718E−02	−0.232543E−02	−0.548132E−02	0.355043E−02	−0.164865E−02
3(R2)	6.643484	−0.111248E−01	−0.189739E−02	−0.663328E−03	−0.291696E−03	0.148068E−04
4(R3)
5(R4)
6(R5)	−61.837170	−0.307620E−01	−0.299148E−03	0.881036E−04	−0.555307E−03	0.287414E−03
7(R6)	−1.252353	−0.165700E−01	−0.2082050E−02	0.832299E−03	−0.505810E−03	0.104507E−03
8(R7)	−4.091718	−0.559991E−01	0.354141E−02	−0.447725E−04	0.906043E−04	−0.235729E−04
9(R8)	−4.478957	−0.316105E−01	0.411904E−02	−0.364491E−03	0.274454E−04	−0.207865E−05

TABLE 17

	K	A	B	C	D	E
2(R1)	−0.609678	−0.33651E−02	0.103994E−01	−0.531487E−02	0.265399E−02	−0.110303E−02
3(R2)	−2.046651	−0.118551E−01	−0.268572E−02	−0.121156E−02	0.310607E−03	−0.261769E−03
4(R3)	−0.023479	−0.621511E−05	0.506488E−03	0.302229E−03	0.613363E−04	0.105352E−03
5(R4)	−20.447531	0.207610E−03	0.4772207E−03	0.199399E−03	0.764266E−04	−0.296394E−04
6(R5)	−28.099749	−0.345382E−01	0.291077E−02	0.117431E−02	−0.344832E−03	0.114845E−05
7(R6)	−2.937952	−0.914876E−02	−0.914771E−03	0.232561E−02	−0.431406E−03	0.285117E−04
8(R7)	−7.164502	−0.397733E−01	0.765148E−02	−0.688572E−03	0.363819E−05	0.182078E−05
9(R8)	−3.704332	−0.236715E−01	0.386753E−02	−0.536289E−03	0.341922E−04	−0.149054E−05

Claims as granted

32 claims

Classifications

5 codes

IPC · International Patent Classification

Section G — Physics

G02B3/02
G02B13/00
G02B5/20
G02B9/36
G02B9/34

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Christina Y Leung

art unit 3992 · TC 3900

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