A zoom lens forms an intermediate image at a position conjugate to a reduction side imaging plane and forms the intermediate image again on a magnification side imaging plane. The zoom lens includes a plurality of lens groups including at least two movable lens groups, which move by changing spacings between the groups adjacent to each other in a direction of an optical axis during zooming, at a position closer to the reduction side than the intermediate image. Among the plurality of lens groups, a final lens group closest to the reduction side has a positive refractive power, and remains stationary with respect to the reduction side imaging plane during zooming. The zoom lens satisfies predetermined conditional expressions (1) and (2).

Description

12 parts

›CROSS REFERENCE TO RELATED APPLICATIONS

The present application claims priority under 35 U.S.C. § 119 to Japanese Patent Application No. 2016-168096 filed on Aug. 30, 2016. The above application is hereby expressly incorporated by reference, in its entirety, into the present application.

›BACKGROUND OF THE INVENTION

1. Field of the Invention

The present invention relates to a zoom lens forming an intermediate image, a projection display device comprising the zoom lens, and an imaging apparatus comprising the zoom lens.

2. Description of the Related Art

In the past, projection display devices, each of which uses a light valve such as a liquid crystal display element or a Digital Micromirror Device (DMD®) display element, have come into widespread use. In particular, some widely used devices adopt a configuration in which three light valves are used, illumination light beams with three primary colors of red, green, and blue respectively correspond to the light valves, synthesizes the light beams, which are modulated through the respective light valves, through a prism or the like, and displays an image onto a screen through a zoom lens.

In such a zoom lens used in a type of the projection display device that synthesizes the light beams modulated through the three light valves through a color synthesis optical system and projects the light beams, as described above, in order for a prism or the like for performing color synthesis to be disposed therein and in order to avoid a thermal problem, a long back focal length is necessary. Further, since spectral characteristics of the color synthesizing prism change depending on an angle of incident light, it is necessary for the projection lens to have the characteristic that the entrance pupil is at a sufficiently far position in a case where the reduction side is set as the incident side, that is, to be telecentric on the reduction side.

It has become necessary for such a type of the zoom lens to perform favorable aberration correction appropriate for the resolutions of light valves. Further, from the viewpoint of installability, in order to cope with the demands to have a high zoom ratio function and to perform projection onto a large screen at a short distance, it is necessary for a zoom lens to have a wider angle of view.

A zoom lens, which forms an intermediate image at a position conjugate to the reduction side imaging plane and forms the intermediate image again on the magnification side imaging plane, has been proposed so as to cope with such demands (for example, JP2015-152890A).

›SUMMARY OF THE INVENTION · 1 of 2

In a normal zoom lens of a system which does not form an intermediate image, in a case where an increase in angle of view is intended to be achieved by shortening a focal length thereof, the size of the magnification side lens inevitably becomes excessively large. However, in a zoom lens of a system which forms an intermediate image as described above, it is possible to shorten a back focal length of the lens system closer to the magnification side than the intermediate image. Therefore, it is possible to decrease a magnification side lens diameter of the lens system closer to the magnification side than the intermediate image, and this configuration is appropriate for achieving an increase in angle of view by shortening a focal length thereof. However, fluctuation in aberrations becomes large during zooming, and thus a problem arises in that it is difficult to keep optical performance high in the entire zooming range. In the lens system described in JP2015-152890A, a problem also arises in that fluctuation in aberrations is large.

The present invention has been made in consideration of the above-mentioned situation, and its object is to provide a zoom lens of a system that forms an intermediate image and has high performance by satisfactorily suppressing fluctuation in aberrations during zooming while achieving a wide angle, a projection display device comprising the zoom lens, and an imaging apparatus comprising the zoom lens.

A zoom lens of the present invention forms an intermediate image at a position conjugate to a reduction side imaging plane and forms the intermediate image again on a magnification side imaging plane. The zoom lens comprises a plurality of lens groups including at least two movable lens groups, which move by changing spacings between the groups adjacent to each other in a direction of an optical axis during zooming, at a position closer to the reduction side than the intermediate image. Among the plurality of lens groups, a final lens group closest to the reduction side has a positive refractive power, and remains stationary with respect to the reduction side imaging plane during zooming. The zoom lens satisfies the following conditional expressions (1) and (2).

6.8< fM/|fw| (1)

0< Y max/| exPw|< 0.1 (2)

Here, fM is a focal length of the final lens group,

fw is a focal length of the whole system at a wide-angle end,

Ymax is an effective image circle radius on the reduction side, and

exPw is a distance on the optical axis from the reduction side imaging plane to a paraxial exit pupil position at the wide-angle end in a case where the reduction side is set as an exit side.

Here, “comprises a plurality of lens groups including at least two movable lens groups, which move by changing spacings between the groups adjacent to each other in a direction of an optical axis during zooming, at a position closer to the reduction side than the intermediate image” the term means that the at least two movable lens groups other than the lens group including the intermediate image are provided at the position closer to the reduction side than the lens group including the intermediate image in a case where the intermediate image is formed in the lens group.

It is preferable that the zoom lens of the present invention satisfies the following conditional expression (1-1) and/or (2-1).

7< fM/|fw< 20 (1-1)

0< Y max/| exPw|< 0.07 (2-1)

The zoom lens may comprise four or five lens groups as a whole. A lens group closest to the magnification side and the final lens group closest to the reduction side may remain stationary with respect to the reduction side imaging plane during zooming. Among lens groups between the lens group closest to the magnification side and the final lens group closest to the reduction side, at least two lens groups may move by changing spacings between the groups adjacent to each other in the direction of the optical axis during zooming.

It is preferable that the zoom lens satisfies the following conditional expression (3), and it is more preferable that the zoom lens satisfies the following conditional expression (3-1).

0<| fw|/fA< 0.145 (3)

0<| fw|/fA< 0.14 (3-1)

Here, fw is a focal length of the whole system at the wide-angle end, and

fA is a focal length of a movable lens group closest to the reduction side among the plurality of movable lens groups.

It is preferable that the zoom lens satisfies the following conditional expression (4), and it is more preferable that the zoom lens satisfies the following conditional expression (4-1).

0.01<| fw|/fB< 0.2 (4)

0.03<| fw|/fB< 0.16 (4-1)

Here, fw is a focal length of the whole system at the wide-angle end, and

fB is a focal length of a second movable lens group from the reduction side among the plurality of movable lens groups.

It is preferable that the zoom lens satisfies the following conditional expression (5), and it is more preferable that the zoom lens satisfies the following conditional expression (5-1).

2< Bfw/|fw| (5)

3< Bfw/|fw|< 11 (5-1)

Here, Bfw is a back focal length of the whole system as an air conversion length at the wide-angle end, and

fw is a focal length of the whole system at the wide-angle end.

It is preferable that the final lens group is formed as one single lens.

A projection display device of the present invention comprises: a light source; a light valve into which light originating from the light source is incident; and the zoom lens of the present invention, the zoom lens projecting an optical image, which is formed by light modulated through the light valve, onto a screen.

An imaging apparatus of the present invention comprises the above-mentioned zoom lens of the present invention.

It should be noted that the “magnification side” means a projected side (screen side). Even in a case where projection is performed in a reduced manner, for convenience, the screen side is referred to as the magnification side. On the other hand, the “reduction side” means an image display element side (light valve side). Even in a case where projection is performed in a reduced manner, for convenience, the light valve side is referred to as the reduction side.

›SUMMARY OF THE INVENTION · 2 of 2

Further, the “comprises . . . ” means that the zoom lens may include not only the above-mentioned elements but also lenses substantially having no powers, optical elements, which are not lenses, such as a mirror having no power, a stop, a mask, a cover glass, a filter, and the like.

Further, the “lens group” is not necessarily formed of a plurality of lenses, but may be formed of only one lens.

Further, regarding the “back focal length”, the following assumption is considered: the magnification side and the reduction side respectively correspond to the object side and the image side of a general imaging lens, and the magnification side and the reduction side are respectively referred to as the front side and the back side.

According to the present invention, a zoom lens forms an intermediate image at a position conjugate to a reduction side imaging plane and forms the intermediate image again on a magnification side imaging plane. The zoom lens comprises the plurality of lens groups including at least two movable lens groups, which move by changing spacings between the groups adjacent to each other in the direction of the optical axis during zooming, at the position closer to the reduction side than the intermediate image. Among the plurality of lens groups, the final lens group closest to the reduction side has a positive refractive power, and remains stationary with respect to the reduction side imaging plane during zooming. The zoom lens satisfies the following conditional expressions (1) and (2). Therefore, it is possible to provide a zoom lens that has high performance by satisfactorily suppressing fluctuation in aberrations during zooming while achieving a wide angle, a projection display device comprising the zoom lens, and an imaging apparatus comprising the zoom lens.

6.8< fM/|fw| (1)

0< Y max/| exPw|< 0.1 (2)

›BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 is a cross-sectional view illustrating a configuration of a zoom lens (common to Example 1) according to an embodiment of the present invention.

FIG. 2 is a cross-sectional view illustrating a configuration of a zoom lens of Example 2 of the present invention.

FIG. 3 is a cross-sectional view illustrating a configuration of a zoom lens of Example 3 of the present invention.

FIG. 4 is a cross-sectional view illustrating a configuration of a zoom lens of Example 4 of the present invention.

FIG. 5 is a cross-sectional view illustrating a configuration of a zoom lens of Example 5 of the present invention.

FIG. 6 is a cross-sectional view illustrating a configuration of a zoom lens of Example 6 of the present invention.

FIG. 7 is a cross-sectional view illustrating a configuration of a zoom lens of Example 7 of the present invention.

FIG. 8 is a cross-sectional view illustrating a configuration of a zoom lens of Example 8 of the present invention.

FIG. 9 is a cross-sectional view illustrating a configuration of a zoom lens of Example 9 of the present invention.

FIG. 10 is a cross-sectional view illustrating a configuration of a zoom lens of Example 10 of the present invention.

FIG. 11 is a cross-sectional view illustrating a configuration of a zoom lens of Example 11 of the present invention.

FIG. 12 is a diagram of aberrations of the zoom lens of Example 1 of the present invention.

FIG. 13 is a diagram of aberrations of the zoom lens of Example 2 of the present invention.

FIG. 14 is a diagram of aberrations of the zoom lens of Example 3 of the present invention.

FIG. 15 is a diagram of aberrations of the zoom lens of Example 4 of the present invention.

FIG. 16 is a diagram of aberrations of the zoom lens of Example 5 of the present invention.

FIG. 17 is a diagram of aberrations of the zoom lens of Example 6 of the present invention.

FIG. 18 is a diagram of aberrations of the zoom lens of Example 7 of the present invention.

FIG. 19 is a diagram of aberrations of the zoom lens of Example 8 of the present invention.

FIG. 20 is a diagram of aberrations of the zoom lens of Example 9 of the present invention.

FIG. 21 is a diagram of aberrations of the zoom lens of Example 10 of the present invention.

FIG. 22 is a diagram of aberrations of the zoom lens of Example 11 of the present invention.

FIG. 23 is a schematic configuration diagram of a projection display device according to an embodiment of the present invention.

FIG. 24 is a schematic configuration diagram of a projection display device according to another embodiment of the present invention.

FIG. 25 is a schematic configuration diagram of a projection display device according to still another embodiment of the present invention.

FIG. 26 is a perspective view of the front side of an imaging apparatus according to an embodiment of the present invention.

FIG. 27 is a perspective view of the rear side of the imaging apparatus shown in FIG. 26 .

›DESCRIPTION OF THE PREFERRED EMBODIMENTS · 1 of 6

Hereinafter, embodiments of the present invention will be described with reference to drawings. FIG. 1 is a cross-sectional view illustrating a configuration of a zoom lens according to an embodiment of the present invention. The exemplary configuration shown in FIG. 1 is the same as the configuration of the zoom lens of Examples 1 to be described later. FIG. 1 shows a state at the wide-angle end, where an image display surface Sim side is the reduction side, a lens L 1 a side of the first lens group G 1 is a magnification side, and an aperture stop St shown in the drawing does not necessarily show its real size and shape, but show a position on an optical axis Z. Further, in FIG. 1 , on-axis rays wa and rays with a maximum angle of view wb are also shown together.

This zoom lens is, for example, mounted on a projection display device, and can be used to project image information displayed on the light valve onto the screen. In FIG. 1 , assuming that the zoom lens is mounted on the projection display device, an optical member PP such as a filter or a prism used in a color synthesizing section or an illumination light separating section, and an image display surface Sim of a light valve positioned on a reduction side surface of the optical member PP are also shown. In the projection display device, rays, which are made to have image information through the image display surface Sim on the image display element, are incident into the zoom lens through the optical member PP, and are transmitted onto a screen, which is not shown in the drawing, through the zoom lens.

As shown in FIG. 1 , the zoom lens of the present embodiment forms an intermediate image at a position conjugate to a reduction side imaging plane (image display surface Sim) and forms the intermediate image again on a magnification side imaging plane. The zoom lens includes a plurality of lens groups including at least two movable lens groups, which move by changing spacings between the groups adjacent to each other in a direction of an optical axis during zooming, at a position closer to the reduction side than the intermediate image. Among the plurality of lens groups, a final lens group closest to the reduction side has a positive refractive power, and remains stationary with respect to the reduction side imaging plane during zooming.

In the example shown in FIG. 1 , the zoom lens includes, in order from the magnification side, a first lens group G 1 , a second lens group G 2 , a third lens group G 3 , and a fourth lens group G 4 . An intermediate image is formed between the first lens group G 1 and the second lens group G 2 . The first lens group G 1 and the fourth lens group G 4 remain stationary with respect to the reduction side imaging plane (image display surface Sim) during zooming. The second lens group G 2 and the third lens group G 3 are configured to move by changing spacings of the groups adjacent to each other in the direction of the optical axis during zooming. That is, the second lens group G 2 and the third lens group G 3 correspond to the movable lens groups, and the fourth lens group G 4 corresponds to the final lens group.

In a normal zoom lens of a system which does not form an intermediate image, in a case where an increase in angle of view is intended to be achieved by shortening a focal length thereof, the size of the magnification side lens inevitably becomes excessively large. However, in a manner similar to that of the present embodiment, in a zoom lens of a system which forms an intermediate image, it is possible to shorten a back focal length of the lens system (in the example shown in FIG. 1 , the first lens group G 1 ) closer to the magnification side than the intermediate image. In addition, it is possible to decrease a magnification side lens diameter, and this configuration is appropriate for achieving an increase in angle of view by shortening a focal length thereof.

Further, zooming is performed by moving a lens system closer to the reduction side than the intermediate image. As for the zooming operation, change in relay magnification of the lens system closer to the reduction side than the intermediate image corresponds to change in size of the intermediate image, and thus it is possible to achieve an optically simple configuration.

Further, the final lens group, which remains stationary with respect to the reduction side imaging plane during zooming and has a positive refractive power, is disposed to be closest to the reduction side. Thereby, it is possible to reduce fluctuation in aberrations during zooming while keeping the zoom lens telecentric.

Further, the zoom lens is configured to satisfy the following conditional expressions (1) and (2).

6.8< fM/|fw| (1)

0< Y max/| exPw|< 0.1 (2)

Here, fM is a focal length of the final lens group,

fw is a focal length of the whole system at the wide-angle end,

Ymax is an effective image circle radius on the reduction side, and

exPw is a distance on the optical axis from the reduction side imaging plane to a paraxial exit pupil position at the wide-angle end in a case where the reduction side is set as an exit side.

The conditional expression (1) is a conditional expression for satisfactorily correcting fluctuation in aberrations during zooming while keeping the zoom lens telecentric. By not allowing the result of the conditional expressions (1) to be equal to or less than the lower limit, it is possible to prevent the power of the final lens group from becoming excessively strong. Thus, by minimizing an amount of occurrence of lateral chromatic aberration in the final lens group, it is possible to easily correct lateral chromatic aberration in other groups. By not allowing the result of the conditional expressions (1) to be equal to or greater than the upper limit, it is possible to prevent the power of the final lens group from becoming excessively weak. Thus, it becomes easy to make the zoom lens telecentric on the reduction side.

The conditional expression (2) is also a conditional expression for satisfactorily correcting fluctuation in aberrations during zooming while keeping the zoom lens telecentric in the same manner. By satisfying the conditional expression (2), it becomes easy to ensure telecentricity while obtaining a size of a desired image circle.

›DESCRIPTION OF THE PREFERRED EMBODIMENTS · 2 of 6

In addition, in a case where the following conditional expression (1-1) and/or (2-1) is satisfied, it is possible to obtain more favorable characteristics.

7< fM/|fw|< 20 (1-1)

0< Y max/| exPw|< 0.07 (2-1)

The zoom lens of the present invention may comprise four or five lens groups as a whole. A lens group closest to the magnification side and the final lens group closest to the reduction side may remain stationary with respect to the reduction side imaging plane during zooming. Among lens groups between the lens group closest to the magnification side and the final lens group closest to the reduction side, at least two lens groups may move by changing spacings between the groups adjacent to each other in the direction of the optical axis during zooming.

As described above, by adopting a configuration using at most five lens groups, it is possible to simplify a configuration of the entire zoom lens. Further, in a case where the lens group closest to the magnification side is intended to move during zooming, mechanical parts for the zooming operation are increased in size and elongated, and this leads to an increase in costs. Therefore, in addition to the final lens group, the lens group closest to the magnification side is also set to be stationary during zooming, whereby it is possible to solve such a problem.

It is preferable that the zoom lens satisfies the following conditional expression (3). By not allowing the result of the conditional expression (3) to be equal to or less than the lower limit, among the plurality of movable lens groups, the power of the movable lens group closest to the reduction side can be prevented from becoming excessively weak. Thus, an amount of movement for ensuring a desired zoom ratio is minimized, and this contributes to reduction in lens total length. By not allowing the result of the conditional expression (3) to be equal to or greater than the upper limit, among the plurality of movable lens groups, the power of the movable lens group closest to the reduction side can be prevented from becoming excessively strong. Thus, it is possible to suppress fluctuation in longitudinal chromatic aberration and spherical aberration during zooming. In addition, in a case where the following conditional expression (3-1) is satisfied, it is possible to obtain more favorable characteristics.

0<| fw|/fA< 0.145 (3)

0<| fw|/fA< 0.14 (3-1)

Here, fw is a focal length of the whole system at the wide-angle end, and

fA is a focal length of a movable lens group closest to the reduction side among the plurality of movable lens groups.

It is preferable that the zoom lens satisfies the following conditional expression (4). By not allowing the result of the conditional expression (4) to be equal to or less than the lower limit, among the plurality of movable lens groups, the power of the second movable lens group from the reduction side can be prevented from becoming excessively weak. Thus, it becomes easy to ensure the desired zoom ratio, and this contributes to reduction in lens diameter of the movable lens group. By not allowing the result of the conditional expression (4) to be equal to or greater than the upper limit, among the plurality of movable lens groups, the power of the second movable lens group from the reduction side can be prevented from becoming excessively strong. Thus, it is possible to easily correct astigmatism during zooming. In addition, in a case where the following conditional expression (4-1) is satisfied, it is possible to obtain more favorable characteristics.

0.01<| fw|/fB< 0.2 (4)

0.03<| fw|/fB< 0.16 (4-1)

Here, fw is a focal length of the whole system at the wide-angle end, and

fB is a focal length of a second movable lens group from the reduction side among the plurality of movable lens groups.

It is preferable that the zoom lens satisfies the following conditional expression (5). By not allowing the result of the conditional expression (5) to be equal to or less than the lower limit, it is possible to prevent the back focal length from being excessively shortened. Thus, it becomes easy to arrange the color synthesizing prism and the like. In addition, in a case where the following conditional expression (5-1) is satisfied, it is possible to obtain more favorable characteristics. By not allowing the result of the conditional expression (5-1) to be equal to or greater than the upper limit, it is possible to prevent the back focal length from becoming excessively large and the lens diameter from becoming large. Thus, it is possible to suppress an increase in number of lenses and an increase in costs of materials.

2< Bfw/|fw| (5)

3< Bfw/|fw|< 11 (5-1)

Here, Bfw is a back focal length of the whole system as an air conversion length at the wide-angle end, and

fw is a focal length of the whole system at the wide-angle end.

It is preferable that the final lens group is formed as one single lens. With such a configuration, a configuration using the minimum number of lenses required for the lens configuration is made. As a result, this leads to reduction in costs.

Next, numerical examples of the zoom lens of the present invention will be described.

First, a zoom lens of Example 1 will be described. FIG. 1 is a cross-sectional diagram illustrating a configuration of the zoom lens of Example 1. In addition, in FIG. 1 and FIGS. 2 to 11 corresponding to Examples 2 to 11 to be described later, an image display surface Sim side is the reduction side, a lens L 1 a side of the first lens group G 1 is a magnification side, and an aperture stop St shown in the drawing does not necessarily show its real size and shape, but show a position on an optical axis Z. Further, in FIGS. 1 to 11 , on-axis rays wa and rays with a maximum angle of view wb are also shown together.

The zoom lens of Example 1 includes, in order from the magnification side, a first lens group G 1 , a second lens group G 2 , a third lens group G 3 , and a fourth lens group G 4 . An intermediate image is formed between the first lens group G 1 and the second lens group G 2 . The first lens group G 1 and the fourth lens group G 4 remain stationary with respect to the reduction side imaging plane (image display surface Sim) during zooming. The second lens group G 2 and the third lens group G 3 are configured to move by changing spacings of the groups adjacent to each other in the direction of the optical axis during zooming.

›DESCRIPTION OF THE PREFERRED EMBODIMENTS · 3 of 6

The first lens group G 1 includes eleven lenses as lenses L 1 a to L 1 k . The second lens group G 2 includes four lenses as lenses L 2 a to L 2 d . The third lens group G 3 includes five lenses as lenses L 3 a to L 3 e . The fourth lens group G 4 includes one lens as only a lens L 4 a.

Table 1 shows lens data of the zoom lens of Example 1, Table 2 shows data about specification, Table 3 shows surface spacings which are variable during zooming, and Table 4 shows data about aspheric coefficients thereof. Hereinafter, meanings of the reference signs in the tables are, for example, as described in Example 1, and are basically the same as those in Examples 2 to 11.

In the lens data of Table 1, the column of the surface number shows surface numbers. The surface of the elements closest to the magnification side is the first surface, and the surface numbers sequentially increase toward the reduction side. The column of the radius of curvature shows radii of curvature of the respective surfaces. The column of the on-axis surface spacing shows spacings on the optical axis Z between the respective surfaces and the subsequent surfaces. Further, the column of n shows a refractive index of each optical element at the d line (a wavelength of 587.6 nm), and the column of v shows an Abbe number of each optical element at the d line (a wavelength of 587.6 nm). Here, the sign of the radius of curvature is positive in a case where a surface has a shape convex toward the magnification side, and is negative in a case where a surface has a shape convex toward the reduction side. In the lens data, the aperture stop St and the optical member PP are additionally noted. In a place of a surface number of a surface corresponding to the aperture stop St, the surface number and a term of (stop) are noted. Further, in the lens data, in each place of the surface spacing which is variable during zooming, DD[surface number] is noted. Numerical values each corresponding to the DD[surface number] are shown in Table 3.

In the data about the specification of Table 2, values of the zoom ratio, the focal length f′, the F number FNo., and the total angle of view 2ω are noted.

In the lens data of Table 1, the reference sign * is attached to surface numbers of aspheric surfaces, and radii of curvature of the aspheric surfaces are represented by numerical values of paraxial radii of curvature. In the data about aspheric coefficients of Table 4, surface numbers of aspheric surfaces, and aspheric coefficients of these aspheric surfaces are noted. The “E±n” (n: an integer) in numerical values of the aspheric coefficients of Table 4 indicates “×10 ±n ”. The aspheric coefficients are values of the coefficients KA and Am (m=3 . . . 20) in aspheric surface expression represented by the following expression.

Zd=C·h 2 /{1+(1− KA·C 2 ·h 2 ) 1/2 }+ΣAm·h m

Here, Zd is an aspheric surface depth (a length of a perpendicular from a point on an aspheric surface at height h to a plane that is perpendicular to the optical axis and contacts with the vertex of the aspheric surface),

h is a height (a distance from the optical axis),

C is an inverse of a paraxial radius of curvature, and

KA and Am are aspheric coefficients (m=3 . . . 20).

FIG. 12 shows aberration diagrams of the zoom lens of Example 1. In addition, in order from the upper left side of FIG. 12 , spherical aberration, astigmatism, distortion, and lateral chromatic aberration at the wide-angle end are shown. In order from the lower left side of FIG. 12 , spherical aberration, astigmatism, distortion, and lateral chromatic aberration at the telephoto end are shown. These aberration diagrams show states in a case where the projection distance is set as distances noted in the aberration diagrams. The aberration diagrams illustrating spherical aberration, astigmatism, and distortion indicate aberrations that occur in a case where the d line (a wavelength of 587.6 nm) is set as a reference wavelength. In the spherical aberration diagram, aberrations at the d line (a wavelength of 587.6 nm), the C line (a wavelength of 656.3 nm), and the F line (a wavelength of 486.1 nm) are respectively indicated by the solid line, the long dashed line, and the short dashed line. In the astigmatism diagram, aberrations in sagittal and tangential directions are respectively indicated by the solid line and the short dashed line. In the lateral chromatic aberration, aberrations at the C line (wavelength 656.3 nm) and F line (wavelength 486.1 nm) are respectively indicated by the long dashed line and the short dashed line. In the spherical aberration diagram, FNo. means an F number. In the other aberration diagrams, w means a half angle of view.

Reference signs, meanings, and description methods of the respective data pieces according to Example 1 described above are the same as those in the following examples unless otherwise noted. Therefore, in the following description, repeated description will be omitted.

Next, a zoom lens of Example 2 will be described. FIG. 2 is a cross-sectional diagram illustrating a configuration of the zoom lens of Example 2. The zoom lens of Example 2 has the same lens groups and has the same number of lenses as that of Example 1. Table 5 shows lens data of the zoom lens of Example 2, Table 6 shows data about specification, Table 7 shows surface spacings which are variable during zooming, Table 8 shows data about aspheric coefficients thereof, and FIG. 13 shows aberration diagrams.

Next, a zoom lens of Example 3 will be described. FIG. 3 is a cross-sectional diagram illustrating a configuration of the zoom lens of Example 3. The zoom lens of Example 3 has the same lens groups and has the same number of lenses as that of Example 1. Table 9 shows lens data of the zoom lens of Example 3, Table 10 shows data about specification, Table 11 shows surface spacings which are variable during zooming, Table 12 shows data about aspheric coefficients thereof, and FIG. 14 shows aberration diagrams.

Next, a zoom lens of Example 4 will be described. FIG. 4 is a cross-sectional diagram illustrating a configuration of the zoom lens of Example 4.

›DESCRIPTION OF THE PREFERRED EMBODIMENTS · 4 of 6

The zoom lens of Example 4 includes, in order from the magnification side, a first lens group G 1 , a second lens group G 2 , a third lens group G 3 , a fourth lens group G 4 , and a fifth lens group G 5 . An intermediate image is formed between the second lens group G 2 and the third lens group G 3 . The first lens group G 1 and the fifth lens group G 5 remain stationary with respect to the reduction side imaging plane (image display surface Sim) during zooming. The second lens group G 2 , the third lens group G 3 , and the fourth lens group G 4 are configured to move by changing spacings of the groups adjacent to each other in the direction of the optical axis during zooming.

The first lens group G 1 includes nine lenses as lenses L 1 a to L 1 i . The second lens group G 2 includes two lenses as lenses L 2 a and L 2 b . The third lens group G 3 includes four lenses as lenses L 3 a to L 3 d . The fourth lens group G 4 includes six lenses as lenses L 4 a to L 4 f . The fifth lens group G 5 includes one lens as only a lens L 5 a.

Table 13 shows lens data of the zoom lens of Example 4, Table 14 shows data about specification, Table 15 shows surface spacings which are variable during zooming, Table 16 shows data about aspheric coefficients thereof, and FIG. 15 shows aberration diagrams.

Next, a zoom lens of Example 5 will be described. FIG. 5 is a cross-sectional diagram illustrating a configuration of the zoom lens of Example 5. The zoom lens of Example 5 has the same lens groups and has the same number of lenses as that of Example 4 except that the fourth lens group G 4 includes five lenses as lenses L 4 a to L 4 e . Table 17 shows lens data of the zoom lens of Example 5, Table 18 shows data about specification, Table 19 shows surface spacings which are variable during zooming, Table 20 shows data about aspheric coefficients thereof, and FIG. 16 shows aberration diagrams.

Next, a zoom lens of Example 6 will be described. FIG. 6 is a cross-sectional diagram illustrating a configuration of the zoom lens of Example 6.

The zoom lens of Example 6 includes, in order from the magnification side, a first lens group G 1 , a second lens group G 2 , a third lens group G 3 , and a fourth lens group G 4 . An intermediate image is formed in the first lens group G 1 . The first lens group G 1 and the fourth lens group G 4 remain stationary with respect to the reduction side imaging plane (image display surface Sim) during zooming. The second lens group G 2 and the third lens group G 3 are configured to move by changing spacings of the groups adjacent to each other in the direction of the optical axis during zooming.

The first lens group G 1 includes fifteen lenses as lenses L 1 a to L 1 o . The second lens group G 2 includes one lens as only a lens L 2 a . The third lens group G 3 includes five lenses as lenses L 3 a to L 3 e . The fourth lens group G 4 includes one lens as only a lens L 4 a.

Table 21 shows lens data of the zoom lens of Example 6, Table 22 shows data about specification, Table 23 shows surface spacings which are variable during zooming, Table 24 shows data about aspheric coefficients thereof, and FIG. 17 shows aberration diagrams.

Next, a zoom lens of Example 7 will be described. FIG. 7 is a cross-sectional diagram illustrating a configuration of the zoom lens of Example 7.

The zoom lens of Example 7 includes, in order from the magnification side, a first lens group G 1 , a second lens group G 2 , a third lens group G 3 , a fourth lens group G 4 , and a fifth lens group G 5 . An intermediate image is formed in the second lens group G 2 . The first lens group G 1 and the fifth lens group G 5 remain stationary with respect to the reduction side imaging plane (image display surface Sim) during zooming. The second lens group G 2 , the third lens group G 3 , and the fourth lens group G 4 are configured to move by changing spacings of the groups adjacent to each other in the direction of the optical axis during zooming.

The first lens group G 1 includes six lenses as lenses L 1 a to L 1 f . The second lens group G 2 includes six lenses as lenses L 2 a to L 2 f . The third lens group G 3 includes two lenses as lenses L 3 a and L 3 b . The fourth lens group G 4 includes five lenses as lenses L 4 a to L 4 e . The fifth lens group G 5 includes one lens as only a lens L 5 a.

Table 25 shows lens data of the zoom lens of Example 7, Table 26 shows data about specification, Table 27 shows surface spacings which are variable during zooming, Table 28 shows data about aspheric coefficients thereof, and FIG. 18 shows aberration diagrams.

Next, a zoom lens of Example 8 will be described. FIG. 8 is a cross-sectional diagram illustrating a configuration of the zoom lens of Example 8.

The zoom lens of Example 8 includes, in order from the magnification side, a first lens group G 1 , a second lens group G 2 , a third lens group G 3 , and a fourth lens group G 4 . An intermediate image is formed in the first lens group G 1 . The first lens group G 1 and the fourth lens group G 4 remain stationary with respect to the reduction side imaging plane (image display surface Sim) during zooming. The second lens group G 2 and the third lens group G 3 are configured to move by changing spacings of the groups adjacent to each other in the direction of the optical axis during zooming.

The first lens group G 1 includes twelve lenses as lenses L 1 a to L 1 l . The second lens group G 2 includes two lenses as lenses L 2 a and L 2 b . The third lens group G 3 includes five lenses as lenses L 3 a to L 3 e . The fourth lens group G 4 includes one lens as only a lens L 4 a.

Table 29 shows lens data of the zoom lens of Example 8, Table 30 shows data about specification, Table 31 shows surface spacings which are variable during zooming, Table 32 shows data about aspheric coefficients thereof, and FIG. 19 shows aberration diagrams.

Next, a zoom lens of Example 9 will be described. FIG. 9 is a cross-sectional diagram illustrating a configuration of the zoom lens of Example 9.

›DESCRIPTION OF THE PREFERRED EMBODIMENTS · 5 of 6

The zoom lens of Example 9 includes, in order from the magnification side, a first lens group G 1 , a second lens group G 2 , a third lens group G 3 , a fourth lens group G 4 , and a fifth lens group G 5 . An intermediate image is formed between the first lens group G 1 and the second lens group G 2 . The first lens group G 1 , third lens group G 3 , and fifth lens group G 5 remain stationary with respect to the reduction side imaging plane (image display surface Sim) during zooming. The second lens group G 2 and fourth lens group G 4 are configured to move by changing spacings of the groups adjacent to each other in the direction of the optical axis during zooming.

The first lens group G 1 includes ten lenses as lenses L 1 a to L 1 j . The second lens group G 2 includes one lens as only a lens L 2 a . The third lens group G 3 includes two lenses as lenses L 3 a and L 3 b . The fourth lens group G 4 includes five lenses as lenses L 4 a to L 4 e . The fifth lens group G 5 includes one lens as only a lens L 5 a.

Table 33 shows lens data of the zoom lens of Example 9, Table 34 shows data about specification, Table 35 shows surface spacings which are variable during zooming, Table 36 shows data about aspheric coefficients thereof, and FIG. 20 shows aberration diagrams.

Next, a zoom lens of Example 10 will be described. FIG. 10 is a cross-sectional diagram illustrating a configuration of the zoom lens of Example 10. The zoom lens of Example 10 has the same lens groups and has the same number of lenses as that of Example 9 except that the first lens group G 1 includes twelve lenses as lenses L 1 a to L 1 l and an optical member PP 1 such as a filter or a prism is further disposed in the first lens group G 1 . Table 37 shows lens data of the zoom lens of Example 10, Table 38 shows data about specification, Table 39 shows surface spacings which are variable during zooming, Table 40 shows data about aspheric coefficients thereof, and FIG. 21 shows aberration diagrams.

Next, a zoom lens of Example 11 will be described. FIG. 11 is a cross-sectional diagram illustrating a configuration of the zoom lens of Example 11. The zoom lens of Example 11 has the same lens groups and has the same number of lenses as that of Example 10. Table 41 shows lens data of the zoom lens of Example 11, Table 42 shows data about specification, Table 43 shows surface spacings which are variable during zooming, Table 44 shows data about aspheric coefficients thereof, and FIG. 22 shows aberration diagrams.

Table 45 shows values corresponding to the conditional expressions (1) to (5) of the zoom lenses of Examples 1 to 11. It should be noted that, in the above-mentioned examples, the d line is set as the reference wavelength, and the values shown in the following Table 45 are values at the reference wavelength.

As can be seen from the above-mentioned data, each of the zoom lenses of Examples 1 to 11 is a zoom lens of the system that satisfies conditional expressions (1) to (5) and forms an intermediate image, and is a zoom lens that has an F number as bright as 2.6 or less, has a total angle of view as a wide angle of 115° or more, and has high performance by satisfactorily suppressing fluctuation in aberrations during zooming.

Next, a projection display device according to an embodiment of the present invention will be described. FIG. 23 is a schematic configuration diagram of the projection display device according to the embodiment of the present invention. The projection display device 100 shown in FIG. 23 has a zoom lens 10 according to the embodiment of the present invention, a light source 15 , transmissive display elements 11 a to 11 c as light valves corresponding to respective color light beams, dichroic mirrors 12 and 13 for color separation, a cross dichroic prism 14 for color synthesis, condenser lenses 16 a to 16 c , and total reflection mirrors 18 a to 18 c for deflecting the optical path. In FIG. 23 , the zoom lens 10 is schematically illustrated. Further, an integrator is disposed between the light source 15 and the dichroic mirror 12 , but illustration thereof is omitted in FIG. 23 .

White light originating from the light source 15 is separated into rays with three colors (G light, B light, R light) through the dichroic mirrors 12 and 13 . Thereafter, the rays respectively pass through the condenser lenses 16 a to 16 c , are incident into and modulated through the transmissive display elements 11 a to 11 c respectively corresponding to the rays with the respective colors, are subjected to color synthesis through the cross dichroic prism 14 , and are subsequently incident into the zoom lens 10 . The zoom lens 10 projects an optical image, which is formed by the light modulated through the transmissive display elements 11 a to 11 c , onto a screen 105 .

FIG. 24 is a schematic configuration diagram of a projection display device according to another embodiment of the present invention. The projection display device 200 shown in FIG. 24 has a zoom lens 210 according to the embodiment of the present invention, a light source 215 , DMD elements 21 a to 21 c as light valves corresponding to respective color light beams, total internal reflection (TIR) prisms 24 a to 24 c for color separation and color synthesis, and a polarization separating prism 25 that separates illumination light and projection light. In FIG. 24 , the zoom lens 210 is schematically illustrated. Further, an integrator is disposed between the light source 215 and the polarization separating prism 25 , but illustration thereof is omitted in FIG. 24 .

White light originating from the light source 215 is reflected on a reflective surface inside the polarization separating prism 25 , and is separated into rays with three colors (G light, B light, R light) through the TIR prisms 24 a to 24 c . The separated rays with the respective colors are respectively incident into and modulated through the corresponding DMD elements 21 a to 21 c , travel through the TIR prisms 24 a to 24 c again in a reverse direction, are subjected to color synthesis, are subsequently transmitted through the polarization separating prism 25 , and are incident into the zoom lens 210 . The zoom lens 210 projects an optical image, which is formed by the light modulated through the DMD elements 21 a to 21 c , onto a screen 205 .

›DESCRIPTION OF THE PREFERRED EMBODIMENTS · 6 of 6

FIG. 25 is a schematic configuration diagram of a projection display device according to still another embodiment of the present invention. The projection display device 300 shown in FIG. 25 has a zoom lens 310 according to the embodiment of the present invention, a light source 315 , reflective display elements 31 a to 31 c as light valves corresponding to respective color light beams, dichroic mirrors 32 and 33 for color separation, a cross dichroic prism 34 for color synthesis, a total reflection mirror 38 for deflecting the optical path, and polarization separating prisms 35 a to 35 c . In FIG. 25 , the zoom lens 310 is schematically illustrated. Further, an integrator is disposed between the light source 315 and the dichroic mirror 32 , but illustration thereof is omitted in FIG. 25 .

White light originating from the light source 315 is separated into rays with three colors (G light, B light, R light) through the dichroic mirrors 32 and 33 . The separated rays with the respective colors respectively pass through the polarization separating prisms 35 a to 35 c , are incident into and modulated through the reflective display elements 31 a to 31 c respectively corresponding to the rays with the respective colors, are subjected to color synthesis through the cross dichroic prism 34 , and are subsequently incident into the zoom lens 310 . The zoom lens 310 projects an optical image, which is formed by the light modulated through the reflective display elements 31 a to 31 c , onto a screen 305 .

FIGS. 26 and 27 are external views of a camera 400 which is the imaging apparatus according to the embodiment of the present invention. FIG. 26 is a perspective view of the camera 400 viewed from the front side, and FIG. 27 is a perspective view of the camera 400 viewed from the rear side. The camera 400 is a single-lens digital camera on which an interchangeable lens 48 is detachably mounted and which has no reflex finder. The interchangeable lens 48 is configured such that a zoom lens 49 as the optical system according to the embodiment of the present invention is housed in a lens barrel.

The camera 400 comprises a camera body 41 , and a shutter button 42 and a power button 43 are provided on an upper surface of the camera body 41 . Further, operation sections 44 and 45 and a display section 46 are provided on a rear surface of the camera body 41 . The display section 46 is for displaying a captured image or an image within an angle of view before imaging.

An imaging aperture, through which light from an imaging target is incident, is provided at the center on the front surface of the camera body 41 . A mount 47 is provided at a position corresponding to the imaging aperture. The interchangeable lens 48 is mounted on the camera body 41 with the mount 47 interposed therebetween.

In the camera body 41 , there are provided an imaging element, a signal processing circuit, a recording medium, and the like. The imaging element (not shown) such as a charge coupled device (CCD) outputs a captured image signal based on a subject image which is formed through the interchangeable lens 48 . The signal processing circuit generates an image through processing of the captured image signal which is output from the imaging element. The recording medium records the generated image. The camera 400 captures a still image or a moving image by pressing the shutter button 42 , and records image data, which is obtained through imaging, in the recording medium.

The present invention has been hitherto described through embodiments and examples, but the zoom lens of the present invention is not limited to the above-mentioned embodiments and examples, and may be modified into various forms. For example, the radius of curvature, the surface spacing, the refractive index, and the Abbe number of each lens may be appropriately changed.

Further, the projection display device of the present invention is not limited to that of the above-mentioned configuration. For example, the used light valve and the optical member used in separation or synthesis of rays are not limited to those of the above-mentioned configuration, and may be modified into various forms.

Further, the imaging apparatus of the present invention is also not limited to the above-mentioned configurations. For example, the present invention may be applied to a single-lens reflex camera, a film camera, a video camera, and the like.

›EXPLANATION OF REFERENCES

10 , 210 , 310 : zoom lens

11 a to 11 c : transmissive display element

12 , 13 , 32 , 33 : dichroic mirror

14 , 34 : cross dichroic prism

15 , 215 , 315 : light source

16 a to 16 c : condenser lens

18 a to 18 c , 38 : total reflection mirror

21 a to 21 c : DMD element

24 a to 24 c : TIR prism

25 , 35 a to 35 c : polarization separating prism

31 a to 31 c : reflective display element

41 : camera body

42 : shutter button

43 : power button

44 , 45 : operation section

46 : display section

47 : mount

48 : interchangeable lens

49 : zoom lens

100 , 200 , 300 : projection display device

105 , 205 , 305 : screen

400 : camera

G 1 to G 5 : lens group

L 1 a to L 5 a : lens

PP, PP 1 , PP 2 : optical member

Sim: image display surface

St: aperture stop

wa: on-axis rays

wb: rays with maximum angle of view

Z: optical axis

›Tables in the description — 45

TABLE 1 — EXAMPLE 1 • LENS DATA (n AND ν ARE BASED ON d LINE)

SURFACE	RADIUS OF	SURFACE
NUMBER	CURVATURE	SPACING	n	ν
*1	−16.8844	3.1041	1.53158	55.08
*2	−39.1686	11.7946
3	39.1318	1.7292	1.65160	58.55
4	8.9360	11.4741
5	−10.7817	8.5447	1.80400	46.58
6	−16.6204	0.1373
7	174.0429	2.4222	1.89286	20.36
8	−41.4827	3.6906
9	38.6978	0.9310	1.76182	26.52
10	18.0298	7.5292	1.49700	81.61
11	−27.6451	0.5877
12	−693.0195	0.9310	1.84666	23.78
13	21.3262	7.4898	1.49700	81.61
14	−35.1609	0.1385
*15	34.7539	3.0952	1.49100	57.58
*16	70.7753	15.2752
17	26.7420	8.4868	1.72916	54.68
18	−59.7421	1.8359
19	−33.6663	1.0341	1.51742	52.43
20	35.9185	DD [20]
21	−42.1553	1.2414	1.48749	70.24
22	65.7706	1.4019
23	144.0055	9.1288	1.80518	25.42
24	−34.5237	1.9741
25	28.9067	11.7248	1.80100	34.97
26	−26.9627	2.7659	1.78472	25.68
27	22.7511	DD [27]
28	34.2130	3.4384	1.83400	37.16
29	−104.2555	5.9827
30	12.8227	2.1765	1.67270	32.10
31	10.2706	2.5533
32 (STOP)	∞	3.5533
33	−12.9988	5.0138	1.84666	23.78
34	57.0049	3.4611	1.55032	75.50
35	−19.5485	0.1376
36	56.8352	4.1949	1.49700	81.61
37	−21.9908	DD [37]
38	37.1429	3.6237	1.89286	20.36
39	∞	9.1782
40	∞	22.2759	1.51633	64.14
41	∞

TABLE 2 — EXAMPLE 1 • SPECIFICATION (d LINE)

	WIDE-ANGLE END	TELEPHOTO END
ZOOM RATIO	1.0	1.3
f′	−5.72	−7.44
FNo.	2.00	2.17
2ω [°]	119.8	106.2

TABLE 3 — EXAMPLE 1 • SURFACE SPACING

	WIDE-ANGLE END	TELEPHOTO END
DD [20]	20.3768	25.3250
DD [27]	18.9370	4.8281
DD [37]	15.0605	24.2212

TABLE 4 — EXAMPLE 1 • ASPHERIC COEFFICIENT SURFACE NUMBER

	1	2	15
KA	2.7941853E−01	1.8105190E+00	1.0000000E+00
A3	−5.0921570E−04	−3.2728478E−04	7.2478928E−05
A4	6.3873272E−04	4.7708143E−04	7.6173442E−05
A5	−4.4839039E−05	−1.7854103E−05	−6.1936748E−07
A6	−1.1876211E−06	−3.0297809E−06	−1.1944480E−06
A7	2.7572123E−07	3.0052470E−07	6.6734463E−07
A8	−5.3141374E−09	−4.6232008E−09	−9.8855940E−08
A9	−8.4646589E−10	−7.6097494E−10	−4.1374715E−09
A10	4.3494235E−11	4.9961876E−11	2.2518107E−09
A11	9.4985984E−13	6.6383244E−14	−9.2586206E−11
A12	−1.1598267E−13	−1.4799288E−13	−2.2927738E−11
A13	9.2980013E−16	5.0835011E−15	2.0673603E−12
A14	1.4520584E−16	1.5760865E−16	9.4851376E−14
A15	−3.6120298E−18	−1.1489940E−17	−1.6277207E−14
A16	−7.3169783E−20	−7.8026822E−21	3.5575532E−17
A17	3.5273362E−21	1.1320168E−20	5.9040344E−17
A18	−6.9875354E−24	−1.3162372E−22	−1.4206486E−18
A19	−1.1897307E−24	−4.0731287E−24	−8.2650517E−20
A20	1.3709873E−26	7.3579689E−26	3.0223753E−21
		SURFACE
		NUMBER
		16
	KA	1.0000000E+00
	A3	−5.0237120E−05
	A4	1.9586015E−04
	A5	−2.6030817E−05
	A6	1.8240676E−06
	A7	9.6318799E−07
	A8	−2.1538581E−07
	A9	2.1708011E−09
	A10	3.5847728E−09
	A11	−2.6409287E−10
	A12	−2.7713036E−11
	A13	3.7445443E−12
	A14	7.0466950E−14
	A15	−2.5195342E−14
	A16	3.5827741E−16
	A17	8.4327983E−17
	A18	−2.6831459E−18
	A19	−1.1255821E−19
	A20	4.8065952E−21

TABLE 5 — EXAMPLE 2 • LENS DATA (n AND ν ARE BASED ON d LINE)

SURFACE	RADIUS OF	SURFACE
NUMBER	CURVATURE	SPACING	n	ν
*1	−17.2414	2.9654	1.53158	55.08
*2	−49.2125	10.6787
3	57.6342	1.1725	1.90525	35.04
4	10.9253	13.5667
5	−11.9107	0.8969	1.76182	26.52
6	−55.1342	1.0121
7	−28.3277	6.7268	1.83481	42.72
8	−15.6842	0.3448
9	30.1823	2.7995	1.84666	23.78
10	−215.4952	19.5983
11	26.2021	5.6143	1.67790	55.34
12	−16.8209	0.9310	1.84666	23.78
13	17.1590	6.8415	1.49700	81.61
14	−31.6692	1.0851
*15	−80.8098	2.6353	1.49100	57.58
*16	−38.8874	12.4450
17	32.6910	7.2819	1.80100	34.97
18	−67.1562	3.0694
19	−31.6933	1.0338	1.80518	25.42
20	−52.7040	DD [20]
21	−21.9713	1.4031	1.51633	64.14
22	62.1066	2.1324
23	733.6327	7.3028	1.80518	25.42
24	−27.6406	0.1378
25	26.5908	9.4251	1.80400	46.58
26	−48.4069	2.7655	1.71736	29.52
27	21.6402	DD [27]
28	31.1458	3.8751	1.80400	46.58
29	−105.1127	2.7886
30	14.2690	2.7937	1.51742	52.43
31	10.2577	4.8370
32 (STOP)	∞	3.5141
33	−11.7925	1.1040	1.84666	23.78
34	96.5438	3.4211	1.55032	75.50
35	−14.7066	2.9957
36	103.9823	4.4743	1.49700	81.61
37	−19.3386	DD [37]
38	35.9871	3.6093	1.89286	20.36
39	∞	9.1786
40	∞	22.2759	1.51633	64.14
41	∞

TABLE 6 — EXAMPLE 2 • SPECIFICATION (d LINE)

	WIDE-ANGLE END	TELEPHOTO END
ZOOM RATIO	1.0	1.2
f′	−5.17	−6.20
FNo.	2.00	2.13
2ω [°]	124.8	116.2

TABLE 7 — EXAMPLE 2 • SURFACE SPACING

	WIDE-ANGLE END	TELEPHOTO END
DD [20]	16.8556	21.6374
DD [27]	20.0994	8.4390
DD [37]	12.7668	19.6455

TABLE 8 — EXAMPLE 2 • ASPHERIC COEFFICIENT SURFACE NUMBER

	1	2	15
KA	2.1299037E−01	2.9144487E+00	1.0000000E+00
A3	2.1095964E−04	5.7447036E−04	1.2537575E−04
A4	4.5494679E−04	2.3158155E−04	2.8429524E−05
A5	−3.0728584E−05	5.6029895E−06	2.8712325E−05
A6	−8.5803525E−07	−3.1229607E−06	−4.9968459E−06
A7	1.6042162E−07	1.2387605E−07	4.4197647E−07
A8	−1.4132779E−09	8.2162984E−09	−2.8611748E−08
A9	−4.8514693E−10	−5.5504688E−10	2.9140944E−09
A10	1.6347892E−11	−1.6373047E−11	−1.9704001E−10
A11	6.9633654E−13	1.8271759E−12	−1.8448163E−11
A12	−4.4319169E−14	−1.3615695E−16	2.0237386E−12
A13	−1.9328421E−16	−3.1116331E−15	1.0981586E−13
A14	5.6298774E−17	3.7160148E−17	−1.2176285E−14
A15	−6.9018194E−19	3.4446901E−18	−2.9884319E−16
A16	−3.2317123E−20	−7.3840296E−20	3.5718411E−17
A17	8.1516171E−22	−1.8154739E−21	4.6057267E−19
A18	3.7783423E−24	5.0354866E−23	−5.5606437E−20
A19	−2.7885931E−25	4.5311465E−25	−1.9054616E−22
A20	2.2694514E−27	−1.4253624E−26	3.1275425E−23
		SURFACE
		NUMBER
		16
	KA	1.0000000E+00
	A3	1.7242359E−04
	A4	7.7526916E−05
	A5	1.6185371E−05
	A6	−1.9412912E−06
	A7	4.6908716E−07
	A8	−1.1584632E−07
	A9	8.6560687E−09
	A10	1.1343582E−09
	A11	−1.9872789E−10
	A12	−1.2612510E−12
	A13	1.5863631E−12
	A14	−3.8512783E−14
	A15	−6.4106638E−15
	A16	2.5553464E−16
	A17	1.2872602E−17
	A18	−6.4962653E−19
	A19	−9.6472547E−21
	A20	5.7790698E−22

TABLE 9 — EXAMPLE 3 • LENS DATA (n AND ν ARE BASED ON d LINE)

SURFACE	RADIUS OF	SURFACE
NUMBER	CURVATURE	SPACING	n	ν
*1	−15.3256	3.1041	1.53158	55.08
*2	−42.8676	8.1208
3	72.9696	3.7466	1.58913	61.13
4	10.9570	14.4952
*5	−11.4427	10.1271	1.69350	53.18
*6	−13.5555	0.1385
7	−226.4073	3.3920	1.85896	22.73
8	−26.1220	0.2797
9	38.9490	0.9310	1.84666	23.78
10	22.1582	8.2830	1.43875	94.66
11	−20.0167	0.1384
12	−38.0629	0.9311	1.84666	23.78
13	25.0469	6.4998	1.55032	75.50
14	−36.6114	13.2095
15	26.1474	3.5448	1.69680	55.53
16	47.4517	0.1377
17	23.8780	4.5094	1.80400	46.58
18	41.0164	3.5961
19	−73.4033	1.0339	1.80400	46.58
20	44.4268	DD [20]
21	−85.9366	1.2410	1.48749	70.24
22	78.8404	1.5622
23	218.4867	7.5126	1.80518	25.42
24	−34.9428	0.1379
25	28.5891	11.7248	1.80100	34.97
26	−34.4084	2.7656	1.78472	25.68
27	22.1365	DD [27]
28	38.5640	6.1592	1.79952	42.22
29	−96.1119	6.6148
30	12.5863	1.9009	1.51742	52.43
31	10.4680	4.1820
32 (STOP)	∞	3.4483
33	−13.7491	4.5080	1.80518	25.42
34	44.2803	3.5843	1.55032	75.50
35	−20.9332	0.1385
36	66.5912	6.0558	1.49700	81.61
37	−21.3539	DD [37]
38	37.9065	3.6665	1.89286	20.36
39	1065.0734	9.5172
40	∞	22.2759	1.51633	64.14
41	∞

TABLE 10 — EXAMPLE 3 • SPECIFICATION (d LINE)

	WIDE-ANGLE END	TELEPHOTO END
ZOOM RATIO	1.0	1.0
f′	−5.71	−7.42
FNo.	2.02	2.22
2ω [°]	120.2	106.6

TABLE 11 — EXAMPLE 3 • SURFACE SPACING

	WIDE-ANGLE END	TELEPHOTO END
DD [20]	19.7566	23.3435
DD [27]	20.3350	7.3697
DD [37]	16.8274	26.2058

TABLE 12 — EXAMPLE 3 • ASPHERIC COEFFICIENT SURFACE NUMBER

	1	2	5
KA	2.7887118E−01	2.5297850E+00	1.0000000E+00
A3	−1.3189565E−03	−1.0834090E−03	−5.7528541E−20
A4	1.0077504E−03	7.5981861E−04	−1.0110759E−04
A5	−7.6981053E−05	−2.8914229E−05	−1.9485961E−05
A6	−2.4419326E−06	−6.0428862E−06	4.9299861E−06
A7	6.0487795E−07	5.6995162E−07	−2.4783632E−07
A8	−1.2399329E−08	3.8888099E−09	−8.6033137E−08
A9	−2.3034355E−09	−2.3238253E−09	1.4733516E−08
A10	1.2557565E−10	5.3186008E−11
A11	3.3640761E−12	4.7688518E−12
A12	−4.0808819E−13	−2.4246931E−13
A13	2.6645072E−15	−1.6706577E−15
A14	6.2698984E−16	3.7971228E−16
A15	−1.5354132E−17	−7.7910013E−18
A16	−4.0281086E−19	−2.2338518E−19
A17	1.8615292E−20	1.3249510E−20
A18	−1.3664475E−23	−9.4582008E−23
A19	−7.6715055E−24	−6.0756592E−24
A20	9.0985547E−26	1.0743584E−25
		SURFACE
		NUMBER
		6
	KA	1.0000000E+00
	A3	2.7450788E−20
	A4	4.9449064E−06
	A5	9.7355695E−06
	A6	−3.3054473E−06
	A7	6.1001854E−07
	A8	−5.4636126E−08
	A9	2.1328996E−09

TABLE 13 — EXAMPLE 4 • LENS DATA (n AND ν ARE BASED ON d LINE)

SURFACE	RADIUS OF	SURFACE
NUMBER	CURVATURE	SPACING	n	ν
*1	−15.3257	3.1041	1.53158	55.08
*2	−33.1892	10.0852
3	40.4538	2.4685	1.62041	60.29
4	8.6430	10.0936
5	−11.2762	7.2577	1.83481	42.72
6	−17.0955	0.1381
7	182.9952	2.4765	1.89286	20.36
8	−36.5411	2.0001
9	35.6081	0.9317	1.75520	27.51
10	16.8209	6.8261	1.49700	81.61
11	−25.4795	0.3399
12	267.6247	0.9304	1.84666	23.78
13	18.9387	6.7530	1.49700	81.61
14	−42.8291	0.1383
*15	106.4754	2.6191	1.49100	57.58
*16	−349.9175	DD [16]
17	30.8964	7.7906	1.80400	46.58
18	−83.2641	2.7908
19	−35.5354	1.0345	1.54814	45.78
20	74.1099	DD [20]
21	−50.1018	1.2416	1.48749	70.24
22	67.5112	2.4368
23	445.9501	7.6268	1.80518	25.42
24	−35.0369	1.0354
25	28.9876	11.7241	1.80100	34.97
26	−37.3021	1.3867	1.78472	25.68
27	24.2172	DD [27]
28	40.2271	3.4845	1.80610	40.93
29	−134.3021	6.4061
30	14.8879	3.2023	1.59282	68.62
31	40.2390	0.8342	1.51742	52.43
32	10.6429	3.4847
33 (STOP)	∞	4.7459
34	−14.0751	5.7552	1.85478	24.80
35	121.0700	3.5097	1.59282	68.62
36	−20.9375	0.1385
37	53.7339	4.4732	1.43875	94.66
38	−23.5498	DD [38]
39	32.9929	3.7045	1.80809	22.76
40	286.0748	9.1738
41	∞	22.2759	1.51633	64.14
42	∞

TABLE 14 — EXAMPLE 4 • SPECIFICATION (d LINE)

	WIDE-ANGLE END	TELEPHOTO END
ZOOM RATIO	1.0	1.6
f′	−5.71	−9.14
FNo.	2.00	2.32
2ω [°]	120.4	95.4

TABLE 15 — EXAMPLE 4•SURFACE SPACING

	WIDE-ANGLE END	TELEPHOTO END
DD[16]	14.3660	18.1309
DD[20]	22.1353	27.6169
DD[27]	30.2604	4.8273
DD[38]	14.1661	30.3527

TABLE 16 — EXAMPLE 4•ASPHERIC COEFFICIENT SURFACE

NUMBER	1	2	15
KA	2.4141499E−01	1.2443569E+00	1.0000000E+00
A3	−1.0548641E−03	−8.8448311E−04	9.9188567E−05
A4	8.3674285E−04	6.3492583E−04	3.0661548E−05
A5	−6.2203974E−05	−2.5148517E−05	4.3824644E−05
A6	−1.6931733E−06	−4.7634497E−06	−1.4133218E−05
A7	4.3265443E−07	4.6820320E−07	1.7507446E−06
A8	−9.2963393E−09	7.7190760E−10	1.6107809E−07
A9	−1.4486672E−09	−1.7808022E−09	−6.5380545E−08
A10	7.8786293E−11	4.9251890E−11	2.8124535E−09
A11	1.7996418E−12	3.5072008E−12	8.8411414E−10
A12	−2.2614666E−13	−2.0320674E−13	−1.0033635E−10
A13	1.6945437E−15	−1.2839303E−15	−3.1296368E−12
A14	3.0897395E−16	3.2125472E−16	9.9989872E−13
A15	−7.5571704E−18	−4.7675296E−18	−2.7219117E−14
A16	−1.7512626E−19	−2.3371888E−19	−3.9426279E−15
A17	8.0909075E−21	8.0064105E−21	2.5945002E−16
A18	−9.3635563E−24	9.2687753E−24	2.3858327E−18
A19	−2.9829776E−24	−3.5001412E−24	−6.0714673E−19
A20	3.4190869E−26	4.0836144E−26	1.4353112E−20
	SURFACE
	NUMBER	16
	KA	1.0000000E+00
	A3	−1.9710878E−04
	A4	2.7699157E−04
	A5	−3.4909821E−05
	A6	5.8330314E−07
	A7	1.2714550E−06
	A8	−1.8605027E−07
	A9	−5.4440996E−09
	A10	2.8459871E−09
	A11	−9.8577866E−11
	A12	−1.9648267E−11
	A13	1.5012748E−12
	A14	5.0112842E−14
	A15	−8.7059294E−15
	A16	1.2726604E−16
	A17	2.3563163E−17
	A18	−1.0153859E−18
	A19	−2.4244280E−20
	A20	1.6658139E−21

TABLE 17 — EXAMPLE 5•LENS DATA (n AND ν ARE BASED ON d LINE)

SURFACE	RADIUS OF	SURFACE
NUMBER	CURVATURE	SPACING	n	ν
*1	−15.3257	3.1037	1.53158	55.08
*2	−34.7664	11.4247
3	40.3127	1.7647	1.62299	58.16
4	8.3917	9.8338
5	−10.9413	7.9941	1.83481	42.72
6	−16.9770	0.1377
7	188.6544	2.5038	1.89286	20.36
8	−38.7881	1.9933
9	34.2031	0.9460	1.72825	28.46
10	16.8209	7.2415	1.49700	81.61
11	−26.7371	0.5298
12	349.2887	0.9309	1.84666	23.78
13	18.5093	7.1110	1.49700	81.61
14	−41.7340	0.1386
*15	79.5713	2.7662	1.49100	57.58
*16	−621.3076	DD[16]
17	29.6563	7.5688	1.80400	46.58
18	−95.4511	2.5605
19	−36.6865	1.0339	1.51742	52.43
20	44.0816	DD[20]
21	−51.4439	1.2418	1.48749	70.24
22	69.7223	2.2483
23	441.0518	7.4804	1.80518	25.42
24	−34.1355	1.6469
25	28.8569	11.7241	1.80100	34.97
26	−33.2020	1.5448	1.78472	25.68
27	24.1607	DD[27]
28	33.6046	3.5630	1.80100	34.97
29	−180.2001	8.5971
30	13.5482	1.2464	1.51742	52.43
31	10.9987	3.2101
32(STOP)	∞	3.4919
33	−14.0473	4.4740	1.85478	24.80
34	70.6017	3.6976	1.59282	68.62
35	−20.0695	0.1380
36	48.5692	4.7586	1.43875	94.66
37	−23.3893	DD[37]
38	35.4283	3.8641	1.80809	22.76
39	∞	9.1746
40	∞	22.2759	1.51633	64.14
41	∞

TABLE 18 — EXAMPLE 5•SPECIFICATION (d LINE)

	WIDE-ANGLE END	TELEPHOTO END
ZOOM RATIO	1.0	1.5
f′	−5.71	−8.57
FNo.	2.00	2.27
2ω[°]	120.4	98.8

TABLE 19 — EXAMPLE 5•SURFACE SPACING

	WIDE-ANGLE END	TELEPHOTO END
DD[16]	16.5809	19.4606
DD[20]	20.2889	25.0617
DD[27]	27.0637	5.4902
DD[37]	17.4423	31.3634

TABLE 20 — EXAMPLE 5•ASPHERIC COEFFICIENT SURFACE

NUMBER	1	2	15
KA	2.4005572E−01	1.2982535E+00	1.0000000E+00
A3	−9.4117956E−04	−8.1119456E−04	8.4641293E−05
A4	8.2140376E−04	6.3727543E−04	6.0083889E−05
A5	−6.1338797E−05	−2.7193363E−05	1.6551479E−05
A6	−1.6412446E−06	−4.5371150E−06	−7.5231031E−06
A7	4.2425029E−07	4.9118627E−07	1.5936698E−06
A8	−9.2480460E−09	−4.2465019E−09	−4.8437602E−08
A9	−1.4192032E−09	−1.7105698E−09	−3.6848452E−08
A10	7.8161464E−11	7.7499087E−11	4.6263308E−09
A11	1.7400643E−12	2.3931525E−12	2.9213247E−10
A12	−2.2454204E−13	−2.8190216E−13	−8.8147072E−11
A13	1.7770892E−15	3.5062529E−15	2.0337483E−12
A14	3.0669185E−16	4.1255051E−16	6.9640960E−13
A15	−7.6406657E−18	−1.4330874E−17	−4.6551873E−14
A16	−1.7295229E−19	−2.3154553E−19	−2.0436648E−15
A17	8.1462036E−21	1.7632132E−20	2.7187232E−16
A18	−1.0736468E−23	−9.6081658E−23	−1.9938241E−18
A19	−2.9999139E−24	−7.2952143E−24	−5.4287538E−19
A20	3.4610499E−26	1.0689391E−25	1.5952204E−20
	SURFACE
	NUMBER	16
	KA	1.0000000E+00
	A3	−1.1528411E−04
	A4	2.3260739E−04
	A5	−3.3901237E−05
	A6	1.9336831E−06
	A7	1.2051151E−06
	A8	−2.5129854E−07
	A9	1.4573787E−09
	A10	4.2460303E−09
	A11	−3.1764927E−10
	A12	−3.1421344E−11
	A13	4.6018352E−12
	A14	5.3879028E−14
	A15	−3.0930304E−14
	A16	6.6051246E−16
	A17	1.0269513E−16
	A18	−4.0507934E−18
	A19	−1.3563390E−19
	A20	6.9559387E−21

TABLE 21 — EXAMPLE 6•LENS DATA (n AND ν ARE BASED ON d LINE)

SURFACE	RADIUS OF	SURFACE
NUMBER	CURVATURE	SPACING	n	ν
*1	−18.3142	2.4899	1.49100	57.58
*2	−96.9137	2.0712
3	48.9275	1.9993	1.76450	49.10
4	23.9647	7.6151
5	65.9865	1.4477	1.83400	37.16
6	16.7451	8.4092
7	−262.7052	1.1035	1.76200	40.10
8	22.5206	7.2640
*9	64.5661	3.4803	1.49100	57.58
*10	47.6316	5.7784
11	459.6927	6.7869	1.74077	27.76
12	−76.4039	0.6899
13	393.0750	4.9037	1.72047	34.71
14	−37.8135	36.2305
15	34.5572	6.0416	1.53775	74.70
16	−40.9192	1.3530
17	48.3048	8.6595	1.55352	71.72
18	−20.1461	1.4095	1.80518	25.42
19	16.9499	6.8429	1.49700	81.54
20	−59.0487	8.7868
*21	−43.6810	4.1374	1.49100	57.58
*22	−31.9961	0.8987
23	44.8348	5.5682	1.84666	23.78
24	−92.5400	55.8754
25	−93.4627	2.0689	1.80518	25.42
26	67.9624	10.9710	1.58144	40.89
27	−35.2286	DD[27]
28	61.9752	5.8752	1.79952	42.22
29	−135.9888	DD[29]
30	17.4375	3.3738	1.83481	42.72
31	106.9410	0.8537
32	167.9264	0.9631	1.74000	28.30
33	12.2493	1.7400
34(STOP)	∞	5.6501
35	−15.0061	2.0324	1.84666	23.78
36	70.3074	5.3081	1.53775	74.70
37	−21.7095	1.6271
38	178.8720	4.3492	1.53775	74.70
39	−23.3635	DD[39]
40	46.9154	3.8362	1.89286	20.36
41	−188.9199	14.7937
42	∞	17.2414	1.51633	64.14
43	∞

TABLE 22 — EXAMPLE 6•SPECIFICATION (d LINE)

	WIDE-ANGLE END	TELEPHOTO END
ZOOM RATIO	1.0	1.1
f′	−3.47	−3.81
FNo.	1.99	1.99
2ω[°]	141.6	138.2

TABLE 23 — EXAMPLE 6•SURFACE SPACING

	WIDE-ANGLE END	TELEPHOTO END
DD[27]	5.8860	0.3455
DD[29]	23.8400	27.3957
DD[39]	7.8289	9.8136

TABLE 24 — EXAMPLE 6•ASPHERIC COEFFICIENT SURFACE

NUMBER	1	2	9
KA	−1.2613865E+00	−7.3647229E+00	1.0000000E+00
A3	1.1196253E−03	1.9031889E−03	0.0000000E+00
A4	6.1879132E−05	−5.0287550E−04	−1.4533914E−04
A5	−7.3041219E−06	1.5272557E−04	7.1537183E−06
A6	1.8469896E−07	−3.1440946E−05	1.3113009E−06
A7	5.8099862E−09	4.4963146E−06	−1.6648358E−07
A8	−4.0627724E−10	−4.5741341E−07	−2.8775798E−09
A9	2.1741878E−12	3.3726144E−08	1.2313102E−09
A10	3.8327193E−13	−1.8233120E−09	−2.7356804E−11
A11	−9.1297258E−15	7.2338783E−11	−3.0053995E−12
A12	−1.1288974E−16	−2.0816849E−12	1.2058813E−13
A13	6.4368883E−18	4.2257416E−14	0.0000000E+00
A14	−3.1753242E−20	−5.7339175E−16	0.0000000E+00
A15	−1.4578632E−21	4.6652540E−18	0.0000000E+00
A16	1.7393012E−23	−1.7206958E−20	0.0000000E+00
A17			0.0000000E+00
SURFACE
NUMBER	10	21	22
KA	1.0000000E+00	1.0000000E+00	1.0000000E+00
A3	0.0000000E+00	0.0000000E+00	0.0000000E+00
A4	−1.0652978E−04	1.0767184E−04	2.2917737E−04
A5	9.5695242E−06	−4.6749047E−06	−1.5005036E−05
A6	3.9287893E−07	−2.0571848E−06	−1.1577556E−06
A7	−1.1814696E−07	1.5517996E−07	1.8648484E−07
A8	3.1171043E−09	1.7816833E−08	1.6385947E−09
A9	5.3806466E−10	−2.1237357E−09	−1.1356529E−09
A10	−2.6654605E−11	−8.7405600E−11	6.3097062E−12
A11	−7.7570364E−13	1.5134798E−11	4.2378755E−12
A12	4.8619495E−14	1.5443689E−13	−3.7212562E−14
A13	0.0000000E+00	−6.0858244E−14	−9.3079102E−15
A14	0.0000000E+00	3.1987853E−16	8.7785436E−17
A15	0.0000000E+00	1.3207939E−16	1.0840632E−17
A16	0.0000000E+00	−1.0174698E−18	−7.9476957E−20
A17	0.0000000E+00	−1.1978965E−19	−5.1116703E−21

TABLE 25 — EXAMPLE 7•LENS DATA (n AND ν ARE BASED ON d LINE)

SURFACE	RADIUS OF	SURFACE
NUMBER	CURVATURE	SPACING	n	ν
*1	−3.9258	3.1037	1.53158	55.08
*2	−6.6674	9.0167
3	84.5054	1.8402	1.69680	55.53
4	17.3088	7.6118
*5	55.8371	1.2407	1.80400	46.58
6	13.9867	14.2116
7	−16.1213	3.9488	1.59282	68.62
8	−23.3208	0.1384
9	−200.8834	5.7152	1.83481	42.72
10	−49.0318	1.7248
11	107.6393	2.6253	1.90366	31.31
12	−117.2064	DD[12]
13	48.1259	9.4978	1.49700	81.54
14	−34.6322	6.2104
15	20.9019	6.6271	1.59282	68.62
16	−20.6672	1.3306	1.80518	25.46
17	20.7742	7.5940	1.49700	81.54
18	−33.2183	3.8261
*19	23.8746	3.4286	1.49100	57.58
*20	36.4478	25.0914
*21	−42.1535	12.2050	1.83400	37.16
*22	−23.7526	DD[22]
23	91.3107	12.4214	1.83481	42.72
24	−26.5924	2.2066	1.84666	23.78
25	−82.9830	DD[25]
26	39.8212	6.8970	1.89286	20.36
27	18.0179	0.8279
28	41.3339	1.3794	1.90366	31.31
29	−68.8597	1.8857
30(STOP)	∞	3.7475
31	−16.9633	0.6900	1.84666	23.78
32	22.9259	13.3373	1.59282	68.62
33	−25.6607	4.3219
34	140.1251	4.8737	1.49700	81.54
35	−27.4746	DD[35]
36	90.2922	4.9518	1.89286	20.36
37	−102.3716	12.4703
38	∞	22.2759	1.51633	64.14
39	∞

TABLE 26 — EXAMPLE 7•SPECIFICATION (d LINE)

	WIDE-ANGLE END	TELEPHOTO END
ZOOM RATIO	1.0	1.05
f′	−3.39	−3.56
FNo.	2.00	2.00
2ω[°]	142.2	140.6

TABLE 27 — EXAMPLE 7•SURFACE SPACING

	WINE-ANGLE END	TELEPHOTO END
DD[12]	21.1893	21.1374
DD[22]	7.4621	4.1951
DD[25]	20.0685	21.6288
DD[35]	1.0616	2.8202

TABLE 28 — EXAMPLE 7•ASPHERIC COEFFICIENT SURFACE

NUMBER	1	2	5
KA	−1.7095288E+00	−4.0432390E+00	1.0000000E+00
A3	3.7980588E−03	3.1947917E−03
A4	−6.8855043E−05	−2.6705955E−04	−3.0419920E−05
A5	−1.8832782E−05	2.2341850E−04
A6	1.2112954E−06	−5.6914062E−05	1.1431133E−07
A7	9.5009583E−09	8.1540380E−06
A8	−3.0545738E−09	−8.3028905E−07	−5.7804966E−11
A9	5.3192775E−11	6.5780530E−08
A10	3.6131407E−12	−4.0301258E−09	−2.9915434E−15
A11	−1.2403642E−13	1.7947509E−10
A12	−1.9358350E−15	−5.3941969E−12
A13	1.2359897E−16	1.0383180E−13
A14	4.4867357E−20	−1.4902076E−15
A15	−6.5401821E−20	2.7852683E−17
A16	4.6151956E−22	−3.6274120E−19
A17	1.7941549E−23	−6.3932566E−21
A18	−2.0652057E−25	1.8413162E−22
A19	−2.0089861E−27	1.3219347E−24
A20	2.9223794E−29	−4.3919128E−26
SURFACE
NUMBER	19	20	21
KA	−1.1452956E+02	3.8414928E+00	1.0000000E+00
A3	−5.1578410E−04	−9.1363252E−04
A4	1.6124378E−03	3.3511935E−04	−1.6924518E−06
A5	−5.0212685E−04	−1.1248379E−04
A6	2.2052351E−05	−2.5017511E−05	−2.1647138E−08
A7	9.9173935E−06	8.6185266E−06
A8	−1.2398753E−06	1.7753935E−07	7.5379885E−12
A9	−7.8951964E−08	−2.2635925E−07
A10	1.6799317E−08	5.5592846E−09	2.4173319E−15
A11	3.1883320E−10	3.3275402E−09
A12	−1.1702773E−10	−1.5825195E−10
A13	−5.7150368E−13	−2.8011863E−11
A14	4.7045786E−13	1.7341278E−12
A15	−1.6510937E−16	1.3432364E−13
A16	−1.1031708E−15	−9.7185723E−15
A17	2.1335677E−18	−3.4097763E−16
A18	1.4056761E−18	2.7678648E−17
A19	−2.2241176E−21	3.5467827E−19
A20	−7.5435201E−22	−3.1865180E−20
	SURFACE
	NUMBER	22
	KA	1.0000000E+00
	A4	0.0000000E+00
	A6	0.0000000E+00
	A8	0.0000000E+00
	A10	0.0000000E+00

TABLE 29 — EXAMPLE 8•LENS DATA (n AND ν ARE BASED ON d LINE)

SURFACE	RADIUS OF	SURFACE
NUMBER	CURVATURE	SPACING	n	ν
*1	−3.9261	3.1028	1.53158	55.08
*2	−6.6674	9.2268
3	87.9406	1.7243	1.69680	55.53
4	17.5353	7.2616
*5	54.2864	1.2408	1.80400	46.58
6	14.2107	14.9180
7	−15.9688	4.5125	1.59282	68.62
8	−22.0377	0.1922
9	−187.1105	3.3112	1.83481	42.72
10	−50.1636	1.7243
11	109.2648	5.8546	1.90366	31.31
12	−134.3402	21.2535
13	53.6247	10.9636	1.59282	68.62
14	−38.6576	5.0139
15	21.6966	6.6322	1.59282	68.62
16	−21.8692	1.4180	1.80518	25.46
17	19.6183	7.1138	1.49700	81.54
18	−35.1083	4.4075
*19	24.1707	3.1734	1.49100	57.58
*20	39.6030	25.1690
*21	−41.1759	13.4971	1.83400	37.16
*22	−24.3035	DD[22]
23	75.9290	11.1603	1.83481	42.72
24	−29.2766	2.2063	1.84666	23.78
25	−104.0156	DD[25]
26	42.2806	6.7602	1.89286	20.36
27	18.8129	0.8641
28	47.3959	3.5848	1.90366	31.31
29	−62.0620	1.8402
30(STOP)	∞	3.2518
31	−17.9944	3.8293	1.84666	23.78
32	27.2161	8.9730	1.59282	68.62
33	−26.3998	7.0962
34	148.9135	4.8282	1.49700	81.54
35	−28.1958	DD[35]
36	86.4463	4.8269	1.89286	20.36
37	−100.4970	12.4117
38	∞	22.2759	1.51633	64.14
39	∞

TABLE 30 — EXAMPLE 8 • SPECIFICATION (d LINE)

	WIDE-ANGLE END	TELEPHOTO END
ZOOM RATIO	1.0	1.05
f′	−3.44	−3.61
FNo.	2.00	2.00
2ω [°]	141.4	139.8

TABLE 31 — EXAMPLE 8 • SURFACE SPACING

	WIDE-ANGLE END	TELEPHOTO END
DD[22]	7.5586	4.2329
DD[25]	20.0872	21.4725
DD[35]	1.0117	2.9521

TABLE 32 — EXAMPLE 8 • ASPHERIC COEFFICIENT SURFACE NUMBER

	1	2	5
KA	−1.7096202E+00	−4.0425773E+00	1.0000000E+00
A3	3.8021165E−03	3.1976851E−03
A4	−6.9203959E−05	−2.6675505E−04	−3.0448817E−05
A5	−1.8877194E−05	2.2241895E−04
A6	1.2159913E−06	−5.6650619E−05	1.1430408E−07
A7	9.5627265E−09	8.1118225E−06
A8	−3.0700011E−09	−8.2528404E−07	−5.7807943E−11
A9	5.3319543E−11	6.5328545E−08
A10	3.6373704E−12	−3.9995451E−09	−2.9916774E−15
A11	−1.2452918E−13	1.7799017E−10
A12	−1.9551069E−15	−5.3454281E−12
A13	1.2422746E−16	1.0280014E−13
A14	5.1228778E−20	−1.4742078E−15
A15	−6.5800514E−20	2.7546286E−17
A16	4.6230070E−22	−3.5855344E−19
A17	1.8068367E−23	−6.3152675E−21
A18	−2.0760382E−25	1.8172062E−22
A19	−2.0251005E−27	1.3037456E−24
A20	2.9428653E−29	−4.3274632E−26
	SURFACE NUMBER
	19	20	21
KA	−1.1452963E+02	3.8417266E+00	1.0000000E+00
A3	−4.8259692E−04	−7.3834569E−04
A4	1.5476745E−03	2.3232706E−04	−1.7065366E−06
A5	−5.0172623E−04	−1.2011765E−04
A6	2.3616367E−05	−2.0992650E−05	−2.1663553E−08
A7	9.8924709E−06	8.7048977E−06
A8	−1.2594751E−06	8.9448159E−08	7.5361646E−12
A9	−7.8708984E−08	−2.2482665E−07
A10	1.6937320E−08	6.7173772E−09	2.4170460E−15
A11	3.1809099E−10	3.2716611E−09
A12	−1.1757840E−10	−1.6714905E−10
A13	−5.7315864E−13	−2.7350053E−11
A14	4.7161361E−13	1.7699804E−12
A15	−1.4820445E−16	1.3044321E−13
A16	−1.1040062E−15	−9.7629965E−15
A17	2.0920832E−18	−3.2961550E−16
A18	1.4047454E−18	2.7535087E−17
A19	−2.1890990E−21	3.4144188E−19
A20	−7.5289696E−22	−3.1475857E−20
		SURFACE NUMBER
		22
	KA	1.0000000E+00
	A4	0.0000000E+00
	A6	0.0000000E+00
	A8	0.0000000E+00
	A10	0.0000000E+00

TABLE 33 — EXAMPLE 9 • LENS DATA (n AND ν ARE BASED ON d LINE)

SURFACE	RADIUS OF	SURFACE
NUMBER	CURVATURE	SPACING	n	ν
*1	80.6473	2.2663	1.69350	53.18
*2	9.1471	12.1164
*3	−31.3855	1.4168	1.80610	40.88
*4	28.5427	11.0669
5	−11.5837	4.0228	1.85150	40.78
6	−14.1907	0.2266
7	26.1012	4.1199	1.85150	40.78
8	−39.3966	2.3919
9	−26.3672	0.8090	1.89286	20.36
10	−42.4239	10.0949
11	−130.4109	3.7052	1.49700	81.54
12	−10.8701	0.7994	1.85478	24.80
13	−16.7081	2.3929
14	29.6286	5.3920	1.49700	81.54
15	−14.8446	0.9170	1.85478	24.80
16	−383.4778	13.2031
*17	68.7066	5.4422	1.69350	53.18
*18	−22.5650	DD[18]
19	172.1176	5.4189	1.85478	24.80
20	−48.9826	DD[20]
21	−40.0453	1.0256	1.51633	64.14
22	458.7553	4.2843
23	−53.4461	1.5756	1.85478	24.80
24	−31.7531	DD[24]
25	22.9231	3.2440	1.59522	67.73
26	800.8242	6.0807
27	15.1415	0.8276	1.51742	52.43
28	12.5991	−1.5821
29 (STOP)	∞	11.7693
30	−17.4861	0.7915	1.85478	24.80
31	56.7446	3.2223	1.49700	81.54
32	−19.8211	13.5943
33	89.4278	4.7268	1.49700	81.54
34	−40.5134	DD[34]
35	85.5280	2.6501	1.89286	20.36
36	−229.9919	12.3069
37	∞	49.9717	1.51633	64.14
38	∞

TABLE 34 — EXAMPLE 9 • SPECIFICATION (d LINE)

	WIDE-ANGLE END	TELEPHOTO END
ZOOM RATIO	1.0	1.2
f′	−4.47	−4.92
FNo.	2.51	2.57
2ω [°]	131.6	127.2

TABLE 35 — EXAMPLE 9 • SURFACE SPACING

	WIDE-ANGLE END	TELEPHOTO END
DD[18]	24.4140	25.9129
DD[20]	38.0764	36.5775
DD[24]	25.9106	21.2419
DD[34]	0.2266	4.8953

TABLE 36 — EXAMPLE 9 • ASPHERIC COEFFICIENT SURFACE NUMBER

	1	2	3
KA	−1.5000009E+01	−8.3138553E−01	−1.9546431E+00
A3	5.0192936E−04	1.5397733E−03	1.0217206E−03
A4	1.3813260E−05	−1.6804737E−04	1.0570408E−05
A5	−1.7493172E−06	6.6926079E−05	2.4547939E−07
A6	4.5068924E−08	−1.1336637E−05	−5.0469845E−08
A7	1.1460739E−09	1.3346904E−06	−3.5471671E−09
A8	−5.7623835E−11	−1.1195069E−07	−2.0069276E−10
A9	3.6117420E−13	6.6902463E−09	−2.1817789E−11
A10	4.9851959E−14	−2.9503205E−10	1.6123686E−12
A11	−2.7350047E−16	9.3509927E−12	0.0000000E+00
A12	−7.5312433E−18	−2.1179592E−13	0.0000000E+00
A13	−1.7597701E−18	3.5736699E−15	0.0000000E+00
A14	−2.6076418E−20	−5.4826353E−19	0.0000000E+00
A15	−1.2760491E−21	4.4435133E−18	0.0000000E+00
A16	1.7839243E−22	−1.1322893E−18	0.0000000E+00
A17	0.0000000E+00	0.0000000E+00
A18	0.0000000E+00	0.0000000E+00
	SURFACE NUMBER
	4	17	18
KA	−2.9301508E+00	−1.4999997E+01	−9.2436933E+00
A3	8.7436548E−04	−1.9554632E−04	−4.8849906E−04
A4	2.2674973E−04	1.1658459E−04	1.4274297E−04
A5	−8.5435837E−07	−1.3930629E−05	−5.7998387E−06
A6	3.2122825E−07	1.5710087E−06	−9.1208397E−07
A7	3.4207549E−08	−3.7222216E−07	1.2028741E−07
A8	2.3164699E−09	5.2246701E−08	−7.8678734E−09
A9	3.2838785E−10	−3.5217221E−09	5.1730820E−10
A10	4.5502038E−11	6.2644007E−11	−2.2754892E−11
A11	0.0000000E+00	3.3491033E−12	8.4938115E−14
A12	0.0000000E+00	2.0883187E−13	9.9028708E−16
A13	0.0000000E+00	−4.7126750E−14	1.8793747E−15
A14	0.0000000E+00	2.3264908E−15	−1.1902884E−16
A15	0.0000000E+00	−4.3412297E−17	3.0767507E−18
A16	0.0000000E+00	4.7971008E−19	1.5636569E−19

TABLE 37 — EXAMPLE 10 • LENS DATA (n AND ν ARE BASED ON d LINE)

SURFACE	RADIUS OF	SURFACE
NUMBER	CURVATURE	SPACING	n	ν
1	43.5493	2.3077	1.48749	70.24
2	24.1070	1.8717
*3	101.3646	2.1978	1.74320	49.29
*4	10.7995	9.9458
*5	357.4973	1.3738	1.80610	40.88
*6	23.4037	6.2835
7	−23.8538	0.9143	1.80610	33.27
8	150.0660	0.5495
9	∞	17.5824	1.56883	56.04
10	∞	0.2747
11	775.0687	3.0934	1.77250	49.60
12	−32.7611	0.2203
13	22.5698	3.7803	1.85150	40.78
14	1455.2083	10.1488
15	−30.0176	0.6430	1.89286	20.36
16	−152.5180	6.1958
17	−98.5244	4.5702	1.49700	81.54
18	−10.8481	0.0169
19	−10.8928	0.8802	1.85478	24.80
20	−16.2185	0.0165
21	39.2965	6.1385	1.49700	81.54
22	−13.9443	0.0160
23	−13.9005	0.9716	1.85478	24.80
24	−49.1119	12.9800
*25	−691.1619	4.4427	1.69350	53.18
*26	−18.8279	DD[26]
27	152.3088	5.1721	1.85478	24.80
28	−52.1033	DD[28]
29	83.1611	0.8704	1.48749	70.24
30	51.7564	1.6021
31	−46.4623	0.9161	1.85478	24.80
32	−40.3936	DD[32]
33	23.2382	2.9106	1.59522	67.73
34	−491.4993	3.8628
35	19.2688	0.7994	1.51742	52.43
36	15.2182	−2.7477
37 (STOP)	∞	14.8108
38	−17.9318	0.8558	1.85478	24.80
39	51.5347	0.1436
40	64.2360	3.3616	1.49700	81.54
41	−23.2884	8.7646
42	95.0966	4.8923	1.49700	81.54
43	−33.3077	DD[43]
44	66.3144	2.9233	1.89286	20.36
45	−295.6039	11.9375
46	∞	48.4615	1.51680	64.20
47	∞

TABLE 38 — EXAMPLE 10 • SPECIFICATION (d LINE)

	WIDE-ANGLE END	TELEPHOTO END
ZOOM RATIO	1.0	1.2
f′	−4.35	−4.79
FNo.	2.50	2.55
2ω [°]	132.8	128.6

TABLE 39 — EXAMPLE 10 • SURFACE SPACING

	WIDE-ANGLE END	TELEPHOTO END
DD[26]	25.5972	27.3540
DD[28]	59.0377	57.2809
DD[32]	4.8618	0.4992
DD[43]	0.2198	4.5824

TABLE 40 — EXAMPLE 10 • ASPHERIC COEFFICIENT SURFACE NUMBER

	3	4	5
KA	−1.5000007E+01	−1.4576312E+00	−5.4774318E−10
A3	1.7254107E−03	2.7681213E−03	−2.6324255E−04
A4	−4.2496988E−05	−2.2037422E−04	9.3099051E−05
A5	−5.9724591E−07	7.6979219E−05	9.4353221E−07
A6	4.1013120E−08	−1.3217029E−05	−6.0240420E−08
A7	1.9083180E−09	1.5993612E−06	−5.2572057E−09
A8	−8.6390332E−11	−1.3905058E−07	−1.9081954E−10
A9	1.2170722E−13	8.5387731E−09	−2.2090743E−11
A10	6.2887832E−14	−3.8798505E−10	1.8529468E−12
A11	1.6262859E−15	1.2645098E−11	0.0000000E+00
A12	1.3401484E−16	−3.0163614E−13	0.0000000E+00
A13	−7.9921787E−19	5.3287852E−15	0.0000000E+00
A14	1.2835855E−19	1.8083257E−17	0.0000000E+00
A15	−1.5477827E−20	9.4744248E−18	0.0000000E+00
A16	−1.0995934E−21	−9.1053100E−19	0.0000000E+00
A17	0.0000000E+00	0.0000000E+00
A18	0.0000000E+00	0.0000000E+00
	SURFACE NUMBER
	6	25	26
KA	−6.5347449E+00	−1.5000000E+01	−3.0782784E+00
A3	−3.8578118E−04	−3.6709915E−04	−6.2508497E−04
A4	3.4010059E−04	1.3792671E−04	1.6556743E−04
A5	−8.1669472E−06	−1.5029243E−05	−6.5113565E−06
A6	6.3172104E−07	1.8073384E−06	−1.0569726E−06
A7	4.9565819E−08	−4.4867499E−07	1.4613018E−07
A8	−1.9603076E−09	6.5012264E−08	−9.5947743E−09
A9	−1.3817151E−10	−4.4991912E−09	6.6740226E−10
A10	9.1287309E−11	8.2773681E−11	−3.0506800E−11
A11	0.0000000E+00	4.4581574E−12	8.7982206E−14
A12	0.0000000E+00	2.8743608E−13	−1.5553915E−15
A13	0.0000000E+00	−6.8116372E−14	2.0846754E−15
A14	0.0000000E+00	3.4193021E−15	−1.9336142E−16
A15	0.0000000E+00	−7.0320149E−17	4.3416058E−18
A16	0.0000000E+00	1.3984129E−18	6.0257943E−19

TABLE 41 — EXAMPLE 11 • LENS DATA (n AND ν ARE BASED ON d LINE)

SURFACE	RADIUS OF	SURFACE
NUMBER	CURVATURE	SPACING	n	ν
1	43.8581	2.3077	1.48749	70.24
2	24.1068	1.8638
*3	99.7929	2.1978	1.74320	49.29
*4	10.8115	9.9839
*5	312.1093	1.3738	1.80610	40.88
*6	23.2178	6.2608
7	−24.0318	0.9157	1.80610	33.27
8	147.8776	0.5495
9	∞	17.5824	1.56883	56.04
10	∞	0.2747
11	643.0312	3.1011	1.77250	49.60
12	−32.7815	0.2203
13	22.4774	3.7403	1.85150	40.78
14	854.0630	10.3939
15	−29.6332	0.6429	1.89286	20.36
16	−154.5876	5.9314
17	−110.0067	4.6063	1.49700	81.54
18	−10.7828	0.0169
19	−10.8267	0.8801	1.85478	24.80
20	−16.1231	0.0165
21	40.4879	6.0849	1.49700	81.54
22	−13.8698	0.0160
23	−13.8260	0.9716	1.85478	24.80
24	−48.7780	12.8896
*25	−339.5718	4.1532	1.69350	53.18
*26	−18.9154	DD[26]
27	133.8577	5.2489	1.85478	24.80
28	−53.3777	DD[28]
29	81.8394	1.4114	1.48749	70.24
30	53.0999	1.5397
31	−49.3236	0.9294	1.85478	24.80
32	−41.9046	DD[32]
33	23.2935	2.8683	1.59522	67.73
34	−805.7511	3.8628
35	19.1716	0.8009	1.51742	52.43
36	15.0758	−2.7477
37 (STOP)	∞	15.1810
38	−17.9206	0.8641	1.85478	24.80
39	54.8697	0.1362
40	68.3061	3.3992	1.49700	81.54
41	−23.1309	8.4139
42	96.6197	4.8727	1.49700	81.54
43	−33.1682	DD[43]
44	69.3541	2.9119	1.89286	20.36
45	−244.5488	11.9381
46	∞	48.4615	1.51680	64.20
47	∞

TABLE 42 — EXAMPLE 11 • SPECIFICATION (d LINE)

	WIDE-ANGLE END	TELEPHOTO END
ZOOM RATIO	1.0	1.2
f′	−4.35	−4.79
FNo.	2.51	2.56
2ω [°]	132.8	128.6

TABLE 43 — EXAMPLE 11 • SURFACE SPACING

	WIDE-ANGLE END	TELEPHOTO END
DD[26]	24.5380	26.2860
DD[28]	60.0031	58.2551
DD[32]	4.8397	0.5151
DD[43]	0.2198	4.5444

TABLE 44 — EXAMPLE 11 • ASPHERIC COEFFICIENT SURFACE NUMBER

	3	4	5
KA	−1.5000007E+01	−1.4622018E+00	−5.4774318E−10
A3	1.7148403E−03	2.7291174E−03	−3.1301751E−04
A4	−4.1139523E−05	−2.1553986E−04	9.4372773E−05
A5	−6.3850074E−07	7.6905221E−05	9.4678795E−07
A6	4.0464547E−08	−1.3217289E−05	−5.9591795E−08
A7	1.9096290E−09	1.5994046E−06	−5.2569334E−09
A8	−8.6629022E−11	−1.3905639E−07	−1.8770136E−10
A9	9.6868845E−14	8.5384690E−09	−2.2129787E−11
A10	6.2280505E−14	−3.8805536E−10	1.8814765E−12
A11	1.8948633E−15	1.2644991E−11	0.0000000E+00
A12	1.3439249E−16	−3.0250740E−13	0.0000000E+00
A13	−7.0791591E−19	5.2974366E−15	0.0000000E+00
A14	1.3732924E−19	1.9429898E−17	0.0000000E+00
A15	−1.5703611E−20	9.6659940E−18	0.0000000E+00
A16	−1.1623215E−21	−8.9401512E−19	0.0000000E+00
A17	0.0000000E+00	0.0000000E+00
A18	0.0000000E+00	0.0000000E+00
	SURFACE NUMBER
	6	25	26
KA	−6.7566765E+00	−1.5000000E+01	−3.0418931E+00
A3	−4.2516546E−04	−3.6632389E−04	−6.0239257E−04
A4	3.4341383E−04	1.3903540E−04	1.6062672E−04
A5	−8.7709643E−06	−1.5127602E−05	−6.2697747E−06
A6	6.4274946E−07	1.8190844E−06	−1.0489575E−06
A7	4.9948030E−08	−4.4819984E−07	1.4632565E−07
A8	−1.8960761E−09	6.5019493E−08	−9.5619825E−09
A9	−1.5087014E−10	−4.4991447E−09	6.6740885E−10
A10	8.8464869E−11	8.2697800E−11	−3.0560676E−11
A11	0.0000000E+00	4.4572955E−12	7.8188973E−14
A12	0.0000000E+00	2.8767986E−13	−2.4318354E−15
A13	0.0000000E+00	−6.8102330E−14	2.0393728E−15
A14	0.0000000E+00	3.4187591E−15	−1.8984228E−16
A15	0.0000000E+00	−7.0543566E−17	4.7701181E−18
A16	0.0000000E+00	1.4069921E−18	6.0103775E−19

TABLE 45

EXPRESSION	CONDITIONAL
NUMBER	EXPRESSION	EXAMPLE 1	EXAMPLE 2	EXAMPLE 3	EXAMPLE 4	EXAMPLE 5	EXAMPLE 6
(1)	fM/\|fw\|	7.27	7.80	7.70	8.03	7.67	12.24
(2)	Ymax/\|exPw\|	0.03	0.04	0.03	0.04	0.04	0.05
(3)	\|fw\|/fA	0.135	0.123	0.126	0.121	0.123	0.004
(4)	\|fw\|/fB	0.100	0.064	0.125	0.087	0.096	0.064
(5)	Bfw/\|fw\|	4.16	4.61	4.23	4.17	4.17	7.54
EXPRESSION	CONDITIONAL
NUMBER	EXPRESSION	EXAMPLE 7	EXAMPLE 8	EXAMPLE 9	EXAMPLE 10	EXAMPLE 11
(1)	fM/\|fw\|	16.05	15.31	15.68	13.99	13.96
(2)	Ymax/\|exPw\|	0.02	0.02	0.02	0.02	0.02
(3)	\|fw\|/fA	0.049	0.045	0.061	0.059	0.058
(4)	\|fw\|/fB	0.062	0.062	0.099	0.095	0.096
(5)	Bfw/\|fw\|	8.01	7.87	10.12	10.08	10.08

Claims as granted

13 claims

Classifications

2 codes

IPC · International Patent Classification

Section G — Physics

G02B15/173
G02B15/14

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Darryl J Collins

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