Zoom lens system having two lens units

FIELD OF THE INVENTION
The present invention relates to a zoom lens system. In one aspect, the present invention relates to a zoom lens system having an optical construction suitable for use in a camera fitted with a solid-state image-sensing device such as a CCD (charge-coupled device).
BACKGROUND OF THE INVENTION
Conventionally, zoom lens systems of a two-unit construction consisting of a negative and a positive lens unit and thus having a retrofocus-type power distribution have been widely used as interchangeable lenses for single-lens reflex cameras that are generally considered to require comparatively large back focal lengths. In addition, zoom lens systems of this type, with which it is easy to secure a large back focal length, are useful also as comparatively low-cost, low-zoom-ratio zoom lens systems for use in electronic still cameras that have recently been coming into wider and wider use, because such cameras also require sufficiently large back focal lengths to arrange a low-pass filter and others between a taking lens and an image-sensing device (such as CCD).
In electronic still cameras, for which every effort is constantly being made to make the image-sensing device ever more compact, the problem to be solved most urgently is that of achieving the miniaturization and cost reduction of the taking lens without a loss in image quality. As one solution to this problem, Japanese Laid-open Patent Application No. H4-46308 proposes a zoom lens system of a two-unit construction consisting of a negative and a positive lens unit in which miniaturization and cost reduction are attempted by extremely reducing the number of the constituent lens elements. This zoom lens system, consisting of a front lens unit of a two-unit/two-element construction having a negative optical power and a rear lens unit of a two-unit/two-element or three-unit/three-element construction having a positive optical power, provides a zoom ratio of about 2 .times..
However, when applied to a small image-sensing device such as is used in an electronic still camera, the zoom lens system proposed in Japanese Laid-open Patient Application No. H4-46308, exactly because it consists of an extremely small number of lens elements, requires too strong an optical power in each lens element. As a result, the distance of the air space between the first and second lens elements of the rear lens unit becomes so sensitive to errors from spherical aberrations, especially at the telephoto end, that it is extremely difficult to shape those lens elements with sufficiently high accuracy.
Moreover, as the solid-state image-sensing device is made smaller, the taking optical system as a whole should ideally be made accordingly smaller. However, in any unit that includes an optical system, it is difficult to miniaturize components such as lens barrels that are not purely optical components with the same reduction factor as purely optical components.
Furthermore, there are various problems associated with a zoom lens system for use in a camera fitted with a solid-state image-sensing device such as a CCD. For example, it is difficult to maximize the distance at which the exit pupil is placed (i.e. to minimize the incident angle with which peripheral rays enter the CCD) and at the same time minimize the total length of the zoom lens system; it is also difficult to obtain acceptable aberration characteristics over the entire zoom range and at the same time secure sufficient peripheral illumination at the wide-angle end.
SUMMARY OF THE INVENTION
An object of the present invention is to provide a zoom lens system of a two-unit construction that consists of a first lens unit having a negative optical power and a second lens unit having a positive optical power and that, although its second lens unit is reduced to a one-unit/two-element or two-unit/three-element construction, provides an increased zoom ratio coupled with satisfactory optical performance and miniaturization and allows its constituent lens elements to be shaped comparatively easily.
Another object of the present invention is to provide a compact zoom lens system that allows efficient miniaturization of an entire unit that includes an optical system.
Still another object of the present invention is to provide a zoom lens system that makes it possible to maximize the distance at which the exit pupil is placed and at the same time minimize the total length of the zoom lens system and that makes it possible to obtain acceptable aberration characteristics over the entire zoom range and at the same time secure sufficient peripheral illumination at the wide-angle end.
To achieve the above objects, according to one aspect of the present invention, a zoom lens system is provided with, from the object side, a first lens unit having a negative optical power; and a second lens unit having a positive optical power, the second lens unit being provided on the image side of the first lens unit with a variable air space formed between the first and second lens units. In addition, in this zoom lens system, zooming is performed by varying the variable air space, and the zoom lens system fulfills the following conditions: ##EQU1## where T.sub.1-2 represents the distance of the variable air space in the longest focal length condition; Y' represents the maximum image height; f.sub.1 represents the focal length of the first lens unit; f.sub.2 represents the focal length of the second lens unit; and Z represents the zoom ratio.
According to another aspect of the present invention, a zoom lens system is provided with, from the object side, a first lens unit having a negative optical power; and a second lens unit having a positive optical power, the second lens unit being provided on the image side of the first lens unit with a variable air space formed between the first and second lens units. In addition, in this zoom lens system, zooming is performed by varying the variable air space, and the zoom lens system fulfills the following condition:
1.0<Y'.times.RL<4.5
where Y' represents the maximum image height; and RL represents the effective radius of the most image side surface of the entire zoom lens system.
According to another aspect of the present invention, a zoom lens system is provided with, from the object side, a first lens unit having a negative optical power; and a second lens unit having a positive optical power, the second lens unit being provided on the image side of the first lens unit with a variable air space formed between the first and second lens units. In addition, in this zoom lens system, zooming is performed by varying the variable air space, and the zoom lens system fulfills the following conditions: ##EQU2## where f.sub.1 represents the focal length of the first lens unit; f.sub.2 represents the focal length of the second lens unit; Z represents the zoom ratio; and fW represents the focal length of the entire zoom lens system in the shortest focal length condition.
According to another aspect of the present invention, a zoom lens system is provided with, from the object side, a first lens unit having a negative optical power; and a second lens unit having a positive optical power, the second lens unit being provided on the image side of the first lens unit with a variable air space formed between the first and second lens units, the second lens unit consisting of at least one doublet lens element composed of a positive lens element and a negative lens element cemented together. In addition, in this zoom lens system, zooming is performed by varying the variable air space.
According to a further aspect of the present invention, a zoom lens system is provided with, from the object side, a first lens unit having a negative optical power; and a second lens unit having a positive optical power, the second lens unit being provided on the image side of the first lens unit with a variable air space formed between the first and second lens units, the second lens unit consisting of, from the object side, at least one doublet lens element composed of a positive lens element and a negative lens element cemented together and a positive lens element. In addition, in this zoom lens system, zooming is performed by varying the variable air space.

BRIEF DESCRIPTION OF THE DRAWINGS
This and other objects and features of this invention will become clear from the following description, taken in conjunction with the preferred embodiments with reference to the accompanied drawings in which:
FIG. 1 is a lens arrangement diagram of a first embodiment of the invention;
FIG. 2 is a lens arrangement diagram of a second embodiment of the invention;
FIG. 3 is a lens arrangement diagram of a third embodiment of the invention;
FIG. 4 is a lens arrangement diagram of a fourth embodiment of the invention;
FIGS. 5A to 5I are aberration diagrams of the first embodiment;
FIGS. 6A to 6I are aberration diagrams of the second embodiment;
FIGS. 7A to 7I are aberration diagrams of the third embodiment;
FIGS. 8A to 8I are aberration diagrams of the fourth embodiment;
FIG. 9 is a lens arrangement diagram of a fifth embodiment of the invention;
FIG. 10 is a lens arrangement diagram of a sixth embodiment of the invention;
FIG. 11 is a lens arrangement diagram of a seventh embodiment of the invention;
FIG. 12 is a lens arrangement diagram of a eighth embodiment of the invention;
FIG. 13 is a lens arrangement diagram of a ninth embodiment of the invention;
FIG. 14 is a lens arrangement diagram of a tenth embodiment of the invention;
FIG. 15 is a lens arrangement diagram of a eleventh embodiment of the invention;
FIG. 16 is a lens arrangement diagram of a twelfth embodiment of the invention;
FIG. 17 is a lens arrangement diagram of a thirteenth embodiment of the invention;
FIGS. 18A to 18I are aberration diagrams of the fifth embodiment;
FIGS. 19A to 19I are aberration diagrams of the sixth embodiment;
FIGS. 20A to 20I are aberration diagrams of the seventh embodiment;
FIGS. 21A to 21I are aberration diagrams of the eighth embodiment;
FIGS. 22A to 22I are aberration diagrams of the ninth embodiment;
FIGS. 23A to 23I are aberration diagrams of the tenth embodiment;
FIGS. 24A to 24I are aberration diagrams of the eleventh embodiment;
FIGS. 25A to 25I are aberration diagrams of the twelfth embodiment;
FIGS. 26A to 26I are aberration diagrams of the thirteenth embodiment;
FIG. 27 is a lens arrangement diagram of a fourteenth embodiment of the invention;
FIG. 28 is a lens arrangement diagram of a fifteenth embodiment of the invention;
FIG. 29 is a lens arrangement diagram of a sixteenth embodiment of the invention;
FIG. 30 is a lens arrangement diagram of a seventeenth embodiment of the invention;
FIG. 31 is a lens arrangement diagram of an eighteenth embodiment of the invention;
FIG. 32 is a lens arrangement diagram of a nineteenth embodiment of the invention;
FIGS. 33A to 33I are aberration diagrams of the fourteenth embodiment;
FIGS. 34A to 34I are aberration diagrams of the fifteenth embodiment;
FIGS. 35A to 35I are aberration diagrams of the sixteenth embodiment;
FIGS. 36A to 36I are aberration diagrams of the seventeenth embodiment;
FIGS. 37A to 37I are aberration diagrams of the eighteenth embodiment; and
FIGS. 38A to 38I are aberration diagrams of the nineteenth embodiment.

DESCRIPTION OF THE PREFERRED EMBODIMENTS
Hereinafter, zoom lens systems embodying the present invention will be described with reference to the drawings.
FIGS. 1 to 4 are lens arrangement diagrams of the zoom lens systems of a first to a fourth embodiment, respectively, each showing the lens arrangement at the wide-angle end [W]. In FIGS. 1 to 4, arrows m1 and m2 schematically indicate the movement of the first and second lens units Gr1 and Gr2, respectively, during zooming from the wide-angle end [W] to the telephoto end [T]. In these lens arrangements diagrams, ri (i=1, 2, 3, . . . ) indicates the ith surface from the object side, di (i=1, 2, 3, . . . ) indicates the ith axial distance from the object side, and gi (i=1, 2, 3, . . . ) indicates the ith lens element from the object side; a surface whose symbol ri is marked with an asterisk (*) is an aspherical surface.
In all of the first to fourth embodiments, the zoom lens system consists of, from the object side, a first lens unit Gr1 having a negative optical power and a second lens unit Gr2 having a positive optical power, performs zooming by varying the distance of the air space between the first and second lens units Gr1 and Gr2, and is provided with a low-pass filter P at its image-side end.
In the first embodiment (FIG. 1), each lens unit is constructed, from the object side, as follows. The first lens unit Gr1 is composed of a negative meniscus lens element g1 concave to the image side, and a positive meniscus lens element g2 (having aspherical surfaces on both sides) convex to the object side. The second lens unit Gr2 is composed of an aperture diaphragm A, a positive biconvex lens element g3, and a negative biconcave lens element g4 (having aspherical surfaces on both sides).
In the second embodiment (FIG. 2), each lens unit is constructed, from the object side, as follows. The first lens unit Gr1 is composed of two negative meniscus lens elements g1 and g2 both concave to the image side, and a positive meniscus lens element g3 (having aspherical surfaces on both sides) convex to the object side. The second lens unit Gr2 is composed of an aperture diaphragm A, a positive meniscus lens element g4 convex to the object side, a positive biconvex lens element g5, and a negative meniscus lens element g6 (having aspherical surfaces on both sides) concave to the object side.
In the third embodiment (FIG. 3), each lens unit is constructed, from the object side, as follows. The first lens Gr1 is composed of a negative meniscus lens element g1 (having an aspherical surface on the object side) concave to the image side, and a positive meniscus lens element g2 (having aspherical surfaces on both sides) convex to the object side. The second lens unit Gr2 is composed of an aperture diaphragm A, a positive biconvex lens element g3 (having an aspherical surface on the object side), and a negative meniscus lens element g4 (having aspherical surfaces on both sides) concave to the object side.
In the fourth embodiment (FIG. 4), each lens unit is constructed, from the object side, as follows. The first lens Gr1 is composed of two negative meniscus lens elements g1 and g2 both concave to the image side, and a positive meniscus lens element g3 (having aspherical surfaces on both sides) convex to the object side. The second lens unit Gr2 is composed of a positive meniscus lens element g4 convex to the object side, an aperture diaphragm A, a positive biconvex lens element g5, and a negative meniscus lens element g6 (having aspherical surfaces on both sides) concave to the object side).
In all of the first to fourth embodiments, the zoom lens system fulfills condition (1) below: ##EQU3## where
T.sub.1-2 represents the distance of the air space between the first and second lens units Gr1 and Gr2 at the telephoto end [T] (i.e. in the longest focal length condition); and
Y' represents the maximum image height.
In a zoom lens system constructed as in the first to fourth embodiments described above, it is at the telephoto end [T] that the distance T.sub.1-2 of the air space between the first and second lens units Gr1 and Gr2 takes the smallest value within the entire zoom range. Condition (1) defines, in the form of a ratio of the air-space distance T.sub.1-2 to the maximum image height Y', the condition to be fulfilled to keep the size of the zoom lens system appropriate and make the construction of lens barrels possible. If the upper limit of condition (1) is exceeded, the distance T.sub.1-2 of the air space between the first and second lens units Gr1 and Gr2 at the telephoto end [T] is too great relative to the maximum image height Y'. As a result, the total length of the zoom lens system from the wide-angle end [W] to the telephoto end [T] as well as the diameter of the front lens element becomes unduly large. By contrast, if the lower limit of condition (1) is exceeded, the air-space distance T.sub.1-2 is too small. As a result, when the camera suffers a shock, the first lens unit Gr1 may collide with the second lens unit Gr2 or the aperture diaphragm A, and in addition, when the first lens unit Gr1 is used for focusing, it is not possible to secure a sufficiently long adjustment stroke.
In all of the first to fourth embodiments, the zoom lens system fulfills condition (2) below: ##EQU4## where
f.sub.1 represents the focal length of the first lens unit;
f.sub.2 represents the focal length of the second lens unit; and
Z represents the zoom ratio.
Condition (2) defines, in the form of a ratio of the focal-length ratio between the first and second lens units Gr1 and Gr2 to the zoom ratio, the condition to be fulfilled to strike a balance between the total length and the aberration characteristics. If the upper limit of condition (2) is exceeded, the focal-length range f.sub.1 /f.sub.2 between the first and second lens units Gr1 and Gr2 is too great relative to the zoom ratio Z. As a result, the peripheral illumination becomes insufficient in the range from the wide-angle end [W] to the middle-focal-length position [M] and thus the diameter of the front lens element needs to be made unduly large. By contrast, if the lower limit of condition (2) is exceeded, the focal-length ratio f.sub.1 /f.sub.2 between the first and second lens units Gr1 and Gr2 is too small relative to the zoom ratio Z. As a result, the negative distortion becomes unduly large at the wide-angle end [W].
In the first and third embodiments, the lens element g2 in the first lens unit Gr1 and the lens element g3 in the second lens unit Gr2 have a positive optical power. In the second and fourth embodiments, the lens element g3 in the first lens unit Gr1 and the lens elements g4 and g5 in the second lens unit Gr2 have a positive optical power. In this way, in any of the first to fourth embodiments described above, the first and second lens units Gr1 and Gr2 each include at least one positive lens element, and each positive lens element satisfies condition (3) below. ##EQU5## where
K represents the thickness of the positive lens element at the height equal to the effective radius on that side of the positive lens element on which the effective radius is larger; and
T represents the thickness of the positive lens element on the optical axis.
Condition (3) defines the condition to be fulfilled to obtain an appropriate shape of the positive lens element. If the upper limit of condition (3) is exceeded, the lens is so thick that it is no longer possible to keep the entire zoom lens system acceptably compact. By contrast, if the lower limit of condition (3) is exceeded, the lens has so unusual a shape that it cannot be produced without extra cost.
In all of the first to fourth embodiments, the zoom lens system fulfills condition (4) below.
1.0<Y'.times.RL<4.5 (4)
where
Y' represents the maximum image height; and
RL represents the effective radius of the most image-side surface of the entire zoom lens system.
Condition (4) defines the condition to be fulfilled to keep the size as well as the aberration and other characteristics of the zoom lens system appropriate. Usually, in front of each light-sensing element of a solid-state image-sensing device (such as CCD), a microlens is provided to condense light efficiently. To make the most of this microlens, it is essential to let rays enter the microlens approximately parallel to its optical axis. To achieve this, it is necessary to design the entire zoom lens system to be approximately telecentric. If the upper limit of condition (4) is exceeded, the entire zoom lens system is too telecentric. As a result, the negative distortion becomes unduly large at the wide-angle end [W], and in addition the inclination of the image plane toward the under side becomes unduly large. By contrast, if the lower limit of condition (4) is exceeded, it is difficult to make the entire zoom lens system approximately telecentric. As a result, even if the entire zoom lens system can be made approximately telecentric, the back focal length becomes unduly large and thus the zoom lens system as a whole becomes unduly large.
In any of the first to fourth embodiments described above, the first lens unit Gr1 includes at least one aspherical surface. By providing an aspherical surface in the first lens unit Gr1 in this way, it is possible to achieve more effective correction of aberrations (particularly the distortion and the curvature of field at the wide-angle end [W]. It is preferable that each aspherical surface provided in the first lens unit Gr1 fulfill condition (5) below.
-2.0<{.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot.(N'-N).multidot.f1}<0 (5)
where
x represents the surface shape of the aspherical surface;
x0 represents the surface shape of the reference spherical surface;
C0 represents the curvature of the reference spherical surface;
N' represents the reflective index of the medium that exists on the image side of the aspherical surface; and
N represents the reflective index of the medium that exists on the object side of the aspherical surface.
Note that x and x0 in condition (5) above are defined by formulae (AS) and (RE) below. ##EQU6## where
y represents the height in a direction perpendicular to the optical axis;
.epsilon. represents the quadric surface parameter; and
Ai represents the aspherical coefficient of the ith order.
Condition (5) predetermines the aspherical surface to be so shaped that it acts to weaken the negative optical power of the first lens unit Gr1, and thus defines the condition to be fulfilled to achieve proper correction of aberrations particularly the distortion at the wide-angle end [W] and the curvature of field in the range from the wide-angle end [W] to the middle-focal-length position [M]. If the upper limit of condition (5) is exceeded, the negative distortion becomes unduly large at the wide-angle end [W], and the shift of the image plane in the negative direction becomes unduly large in the range from the wide-angle end [W] to the middle-focal-length position [M]. By contrast, if the lower limit of condition (5) is exceeded, the positive distortion becomes unduly large at the wide-angle end [W], and the shift of the image plane in the positive direction becomes unduly large in the range from the wide-angle end [W] to the middle-focal-length position [M].
In addition, in any of the first to fourth embodiments described above, the second lens unit Gr2 includes at least one aspherical surface. By providing an aspherical surface in the second lens unit Gr2 in this way, it is possible to achieve more effective correction of aberrations (particularly the spherical aberration in the range from the middle-focal-length position [M] to the telephoto end [T]). It is preferable that each aspherical surface provided in the second lens unit Gr2 fulfill condition (6) below.
-0.5<{.vertline.x.vertline.-x0.vertline.}/{C0.multidot.(N'-N).multidot.f2}<0(6)
Condition (6) predetermines the aspherical surface to be so shaped that it acts to weaken the positive optical power of the second lens unit Gr2, and thus defines the condition to be fulfilled to achieve proper correction of aberrations, particularly the spherical aberration in the range from the middle-focal-length position [M] to the telephoto end [T]. If the upper limit of condition (6) is exceeded, the spherical aberration appears more on the under side. By contrast, if the lower limit of condition (6) is exceeded, the spherical aberration appears more on the over side.
In the first to fourth embodiments described above, all lens units are composed solely of refracting lens elements that deflect incoming rays through refraction. However, the lens unit may include a diffracting lens element that deflects incoming rays through diffraction, or even a refracting-diffracting hybrid-type lens element that deflects incoming rays through the combined effect of refraction and diffraction.
Tables 1 to 4 list the construction data of examples of the zoom lens systems of the first to fourth embodiments described above. In the construction data of each embodiment, ri (i=1, 2, 3, . . . ) represents the radius of curvature of the ith surface from the object side, di (i=1, 2, 3, . . . ) represents the ith axial distance from the object side, and Ni (i=1, 2, 3, . . . ) and vi (i=1, 2, 3, . . . ) respectively represent the refractive index (Nd) and the Abbe number (vd) for d-line of the ith optical element from the object side. Moreover, in the construction data, for each of the axial distances that vary with zooming (i.e. the variable axial distances), three values are given that are, from left, the axial distance between the lens units at the wide-angle end [W], the same distance at the middle-focal-length position [M], and the same distance at the telephoto end [T]. Listed together with the construction data are the focal length f and the f-number FNO of the entire zoom lens system in those three focal-length conditions [W], [M], and [T].
Furthermore, in the construction data, a surface whose radius of curvature ri is marked with an asterisk (*) is an aspherical surface, whose surface shape is defined by formula (AS) noted earlier. Also listed for each embodiment together with the construction data are the values corresponding to conditions (5) and (6) that define aspherical surfaces (note that, there, ymax represents the maximum height of an aspherical surface in a direction perpendicular to its optical axis). On the other hand, Table 5 lists, for each embodiment, the values corresponding to conditions (1) to (4).
FIGS. 5A-5I, 6A-6I, 7A-7I, and 8A-8I are aberration diagrams of the examples of the first to fourth embodiments, respectively. Of these aberration diagrams, FIGS. 5A-5C, 6A-6C, 7A-7C, and 8A-8C show the aberrations observed at the wide-angle end [W], FIGS. 5D-5F, 6D-6F, 7D-7F, and 8D-8F show the aberrations observed at the middle-focal-length position [M], and FIGS. 5G-5I, 6G-6I, 7G-7I, and 8G-8I show the aberrations observed at the telephoto end [T], with FIGS. 5A, 5D, 5G, 6A, 6D, 6G, 7A, 7D, 7G, 8A, 8D and 8G showing the spherical aberration and sine condition, FIGS. 5B, 5E, 5H, 6B, 6E, 6H, 7B, 7E, 7H, 8B, 8E, and 8H showing the astigmatism, and FIGS. 5C, 5F, 5I, 6C, 6F, 6I, 7C, 7F, 7I, 8C, 8F, and 8I showing the distortion. In the spherical aberration diagrams, the solid line (d) and the broken line (SC) show the spherical aberration for d-line and the sine cognition, respectively; in the astigmatism diagrams, the broken line (DM) and the solid line (DS) show the astigmatism for d-line on the meridional plane and on the sagittal plane, respectively.
FIGS. 9 to 17 are lens arrangement diagrams of the zoom lens systems of a fifth to a thirteenth embodiment, respectively, each showing the lens arrangement at the wide-angle end [W]. In FIGS. 9 to 17, arrows m1 and m2 schematically indicate the movement of the first and second lens units Gr1 and Gr2, respectively, during zooming from the wide-angle end [W] to the telephoto end [T]. In these lens arrangement diagrams, ri (i=1, 2, 3, . . . ) indicates the ith surface from the object side, di (i=1, 2, 3, . . . ) indicates the ith axial distance from the object side, and gi (i=1, 2, 3, . . . ) indicates the ith lens element from the object side; a surface whose symbol ri is marked with an asterisk (*) is an aspherical surface.
In all of the fifth to thirteenth embodiments, the zoom lens system consists of, from the object side, a first lens unit Gr1 having a negative optical power and a second lens unit Gr2 having a positive optical power, performs zooming by varying the distance of the air space between the first and second lens units Gr1 and Gr2, and is provided with a low pass filter P at its image-side end.
In the fifth embodiment (FIG. 9), each lens unit is constructed, from the object side, as follows. The first lens unit Gr1 is composed of a negative meniscus lens element g1 (having an aspherical surface on the object side) concave to the image side, and a positive meniscus lens element g2 convex to the object side. The second lens unit Gr2 is composed of an aperture diaphragm A, a positive biconvex lens element g3, a negative biconcave lens element g4 (having aspherical surfaces on both sides), and a positive biconvex lens element g5.
In the sixth embodiment (FIG. 10), each lens unit is constructed, from the object side, as follows. The first lens unit Gr1 is composed of a negative meniscus lens element g1 (having an aspherical surface on the object side) concave to the image side, and a positive meniscus lens element g2 convex to the object side. The second lens unit Gr2 is composed of an aperture diaphragm A, a positive biconvex lens element g3, a negative biconcave lens element g4 (having aspherical surfaces on both sides), and a positive meniscus lens element g5 convex to the object side.
In the seventh embodiment (FIG. 11), each lens unit is constructed, from the object side, as follows. The first lens unit Gr1 is composed of a negative meniscus lens element g1 (having an aspherical surface on the object side) concave to the image side, and a positive meniscus lens element g2 convex to the object side. The second lens unit Gr2 is composed of an aperture diaphragm A, a positive biconvex lens element g3, a negative biconcave lens element g4 (having an aspherical surface on the object side), and a positive biconvex lens element g5.
In the eighth embodiment (FIG. 12), each lens unit is constructed, from the object side, as follows. The first lens unit Gr1 is composed of a negative meniscus lens element g1 (having an aspherical surface on the object side) concave to the image side, and a positive meniscus lens element g2 convex to the object side. The second lens unit Gr2 is composed of an aperture diaphragm A, a positive biconvex lens element g3 (having aspherical surfaces on both sides), a negative meniscus lens element g4 concave to the image side, and a positive meniscus lens element g5 convex to the image side.
In the ninth embodiment (FIG. 13), each lens unit is constructed, from the object side, as follows. The first lens unit Gr1 is composed of a negative meniscus lens element g1 (having an aspherical surface on the object side) concave to the image side, and a positive meniscus lens element g2 convex to the object side. The second lens unit Gr2 is composed of an aperture diaphragm A, a positive biconvex lens element g3, a negative biconcave lens element g4 and a positive meniscus lens element g5 (having aspherical surfaces on both sides) convex to the image side.
In the tenth embodiment (FIG. 14), each lens unit is constructed, from the object side, as follows. The first lens unit Gr1 is composed of two negative meniscus lens elements g1 and g2 both concave to the image side, and a positive meniscus lens element g3 (having an aspherical surface on the image side) convex to the object side. The second lens unit Gr2 is composed of an aperture diaphragm A, a positive biconvex lens element g4, a positive lens element g5 convex to the object side, a negative biconcave lens element g6, and a positive biconvex lens element g7.
In the eleventh embodiment (FIG. 15), each lens unit is constructed, from the object side, as follows. The first lens unit Gr1 is composed of two negative meniscus lens elements g1 and g2 both concave to the image side, and a positive meniscus lens element g3 (having aspherical surfaces on both sides) concave to the object side. The second lens unit Gr2 is composed of an aperture diaphragm A, a positive biconvex lens element g4, a positive lens element g5 convex to the object side, a negative biconcave lens element g6, and a positive biconvex lens element g7.
In the twelfth embodiment (FIG. 16), each lens unit is constructed, from the object side, as follows. The first lens unit Gr1 is composed of a negative meniscus lens element g1 (having an aspherical surface on the object side) concave to the image side, and a positive meniscus lens element g2 convex to the object side. The second lens unit Gr2 is composed of an aperture diaphragm A, a positive biconvex lens element g3, a positive meniscus lens element g4 convex to the object side, a negative biconcave lens element g5, and a positive biconvex lens element g6.
In the thirteenth embodiment (FIG. 17), each lens unit is constructed, from the object side, as follows. The first lens unit Gr1 is composed of two negative meniscus lens elements g1 and g2 both concave to the image side, and a positive meniscus lens element g3 (having aspherical surfaces on both sides) concave to the object side. The second lens unit Gr2 is composed of an aperture diaphragm A, a positive biconvex lens element g4, a positive biconcave lens element g5 (having aspherical surfaces on both sides), and a positive biconvex lens element g6.
All of the zoom lens systems of the fifth to thirteenth embodiments described above are zoom lens systems of a two-unit construction that consists of a positive and a negative lens unit and that is suitable for use in a digital still camera. These zoom lens systems are characterized in that they are optimized in terms of:
[1] the focal lengths of the two lens units and their focal-length ratio;
[2] the utilization of aspherical surfaces; and
[3] the construction within each lens unit.
In all of the fifth to thirteenth embodiments, for the optimization of [1] above, the zoom lens system fulfills condition (7) below. ##EQU7## where
f.sub.1 represents the focal length of the first lens unit Gr1;
f.sub.2 represents the focal length of the second lens unit Gr2; and
Z represents the zoom ratio.
Condition (7) defines the relation between the ratio .vertline.f1/f2.vertline. of the focal length of the first lens unit Gr1 to that of the second lens unit Gr2 and the zoom ratio Z. If the upper limit of condition (7) is exceeded, the exit pupil is positioned too near. As a result, the peripheral illumination becomes insufficient. By contrast, if the lower limit of condition (7) is exceeded, the total length of the zoom lens system becomes unduly large.
In all of the fifth to thirteenth embodiments, for the optimization of [1] above, the zoom lens system fulfills condition (8) below. ##EQU8## where
fW represents the focal length of the entire zoom lens system at the wide-angle end [W] (i.e. in the shortest focal length condition).
Condition (8) defines the relation between the focal length f1 of the first lens unit Gr1 and the focal length fW of the entire zoom lens system at the wide-angle end [W]. If the upper limit of condition (8) is exceeded, the focal length f1 of the first lens unit Gr1 is too large. As a result, the peripheral illumination becomes insufficient, particularly at the wide-angle end [W], and thus the diameter of the front lens element needs to be made unduly large. By contrast, if the lower limit of condition (8) is exceeded, the focal length f1 of the first lens unit Gr1 is too small. As a result, it is difficult to correct aberrations properly over the entire zoom range, particularly the spherical aberration at the telephoto end [T].
In any of the fifth to thirteenth embodiments described above, the first lens unit Gr1 is composed of at least one negative lens element and at least one positive lens element. By constructing the first lens unit Gr1 in this way, it is possible to achieve the optimization of [3] above. In addition, in any of the fifth to thirteenth embodiments, the first lens unit Gr1 includes at least one aspherical surface. By providing an aspherical surface in the first lens unit Gr1 in this way, it is possible to achieve effective correction of aberrations.
In the fifth to ninth and twelfth embodiments, the first lens unit Gr1 has, at least at its most object-side surface (r1), an aspherical surface that fulfills condition (9) below. This helps achieve the optimization of [2] above.
10<{.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot.(N'-N)}<30(9)
where
x represents the surface shape of the aspherical surface at the end of the effective diameter;
x0 represents the surface shape of the reference spherical surface at the end of the effective diameter;
C0 represents the curvature of the reference spherical surface;
N' represents the image-side reflective index of the aspherical surface; and
N represents the object-side reflective index of the aspherical surface.
Note that x and x0 in condition (9) above are defined by formulae (AS) and (RE) noted earlier.
Condition (9) defines the shape of the aspherical surface provided as the most object-side surface of the first lens unit Gr1. If the upper limit of condition (9) is exceeded, the curvature of field appears notably on the over side over the entire zoom range, in particular. By contrast, if the lower limit of condition (9) is exceeded, the curvature of field appears notably on the under side over the entire zoom range, in particular.
In the sixth, seventh, and ninth embodiments, the first lens unit Gr1 includes a positive lens element (g3) having, at least as its image-side surface (r6), an aspherical surface that fulfills condition (10) below. This helps achieve the optimization of [2] above.
-5<{.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot.(N'-N)}<15(10)
Condition (10) defines the shape of the aspherical surface provided as the image-side surface of the positive lens element included in the first lens unit Gr1. If the lower limit of condition (10) is exceeded, the curvature of field appears on the over side at the wide-angle end [W], and the distortion appears on the under side at the wide-angle end [W], in particular. By contrast, if the upper limit of condition (10) is exceeded, the curvature of field at the wide-angle end [W] and the spherical aberration at the telephoto end [T] appear notably on the under side, in particular.
In any of the fifth to thirteenth embodiments described above, the second lens unit Gr2 is composed of, from the object side, at least one positive lens element, at least one negative lens element, and at least one positive lens element. By constructing the second lens unit Gr2 in this way, it is possible to achieve the optimization of [3] above. In addition, in the fifth to ninth and thirteenth embodiments, the second lens unit Gr2 includes at least one aspherical surface. By providing an aspherical surface in the second lens unit Gr2 in this way, it is possible to achieve effective correction of aberrations.
In the fifth to seventh and thirteenth embodiments, the second lens unit Gr2 includes a negative lens element (g4 in FIGS. 9 to 11, g5 in FIG. 17) having, at least as its object-side surface (g8 in FIGS. 9 to 11, g10 in FIG. 17), an aspherical surface that fulfills condition (11) below. This helps achieve the optimization of [2] above.
-5<{.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot.(N'-N)}<2(11)
Condition (11) defines the shape of the aspherical surface provided as the object-side surface of the negative lens element included in the second lens unit Gr2. If the lower limit of condition (11) is exceeded, the spherical aberration of the telephoto end [T] and the curvature of field at wide-angle end [W] appear notably on the over side, in particular. By contrast, if the upper limit of condition (11) is exceeded, the spherical aberration at the telephoto end [T] and the curvature of field at the wide-angle end [W] appear notably on the under side, in particular.
In the eighth embodiment, the second lens unit Gr2 includes two positive lens elements (g3 and g5), of which the one (g3) that is disposed on the object side of negative lens element (g4) included in the same lens unit Gr2 has, at least as its object-side surface (r6), an aspherical surface that fulfills condition (12) below. This helps achieve the optimization of [2] above.
-3<{.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot.(N'-N)}<0(12)
Condition (12) defines the shape of the aspherical surface provided as the object-side surface of the positive lens element that is disposed on the object side of negative lens element within the second lens unit Gr2. If the lower limit of condition (12) is exceeded, the spherical aberration appears notably on the over side at the telephoto end [T], in particular. By contrast, if the upper limit of condition (12) is exceeded, the spherical aberration appears notably on the under side at the telephoto end [T], in particular.
In the ninth embodiment, the second lens unit Gr2 includes two positive lens elements (g3 and g5), of which the one (g5) that is disposed on the image side of the negative lens element (g4) included in the same lens unit Gr2 has, at least as its image-side surface (r11), an aspherical surface that fulfills condition (13) below. This helps achieve the optimization of [2] above.
-5<{.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot.(N'-N)}<5(13)
Condition (13) defines the shape of the aspherical surface provided as the image-side surface of the positive lens element that is disposed on the image side of the negative lens element within the second lens unit Gr2. If the lower limit of condition (13) is exceeded, the spherical aberration appears notably on the over side at the telephoto end [T], in particular. By contrast, if the upper limit of condition (13) is exceeded, the spherical aberration appears notably on the under side at the telephoto end [T], in particular.
In the fifth to thirteenth embodiments described above, all lens units are composed solely of refracting lens elements that deflect incoming rays through refraction. However, the lens units may include a diffracting lens element that deflects incoming rays through diffraction, or even a refracting-diffracting hybrid-type lens element that deflects incoming rays through the combined effect of refraction and diffraction.
Tables 6 to 14 list the construction data of examples of the zoom lens systems of the fifth to thirteenth embodiments described above. In the construction data of each embodiment, ri (i=1, 2, 3, . . . ) represents the radius of curvature of the ith surface from the object side , di (i=1, 2, 3, . . . ) represents the ith axial distance from the object side, and Ni (i=1, 2, 3, . . . ) and vi (i=1, 2, 3, . . . ) respectively represent the refractive index (Nd) and the Abbe number (vd) for d-line of the ith optical element from the object side. Moreover, in the construction data, for each of the axial distances that vary with zooming (i.e. the variable axial distances), three values are given that are, from left, the axial distance between the lens units at the wide-angle-end [W], the same distance at the middle-focal-length position [M], and the same distance at the telephoto end [T]. Listed together with the construction data are the focal length f and the f-number FNO of the entire zoom lens system in those three focal-length conditions [W], [M], and [T].
Furthermore, in the construction data, a surface whose radius of curvature ri is marked with an asterisk (*) is an aspherical surface, whose surface shape is defined by formula (AS) noted earlier. Also listed for each embodiment together with the construction data are the values corresponding to conditions (9) to (13) that define aspherical surface (note that, there, ymax represents the maximum height of an aspherical surface in a direction perpendicular to its optical axis). On the other hand, Table 15 lists, for each embodiment, the values corresponding to conditions (7) and (8).
FIGS. 18A-18I, 19A-19I, 20A-20I, 22A-22I, 23A-23I, 24A-24I, 25A-25I, and 26A-26I are aberration diagrams of the examples of the fifth to thirteenth embodiments respectively. Of these aberration diagrams, FIGS. 18A-18C, 19A-19C, 20A-20C, 21A-21C, 22A-22C, 23A-22C, 24A-24C, 25A-25C, and 26A-26C show the aberrations observed at the wide-angle end [W], FIGS. 18D-18F, 19D-19F, 20D-20F, 21D-21F, 22D-22F, 23D-23F, 24D-24F, 25D-25F, and 26D-26F show the aberrations observed at the middle-focus-length position [M], and FIGS. 18G-18I, 19G-19I, 20G-20I, 21G-21I, 23G-23I, 24G-24I, 25G-25I, and 26G-26I show the aberrations observed at the telephoto end [T], with FIGS. 18A, 18D, 18G, 19A, 19D, 19G, 20A, 20D, 20G, 21A, 21D, 21G, 22A, 22D, 22G, 23A, 23D, 23G, 24A, 24D, 24G, 25A, 25D, 25G, 26A, 26D, and 26G showing the spherical aberration and sine condition, FIGS. 18B, 18E, 18H, 19B, 19E, 19H, 20B, 20E, 20H, 21B, 21E, 21H, 22B, 22E, 22H, 23B, 23E, 23H, 24B, 24E, 24H, 25B, 25E, 25H, 26B, 26E, and 26H showing the astigmatism, and FIGS. 18C, 18F, 18I, 19C, 19F, 19I, 20C, 20F, 20I, 21C, 21F, 21I, 22C, 22F, 22I, 23C, 23F, 23I, 24C, 24F, 24I, 25C, 25F, 25I, 26C, 26F, and 26I showing the distortion. In the spherical aberration diagrams, the solid line (d), the dash-and-dot line (g), and the broken line (SC) show the spherical aberration for d-line, the spherical aberration for g-line, and the sine condition, respectively; in the astigmatism diagrams, the broken line (DM) and the solid line (DS) show the astigmatism for d-line on the meridional plane and on the sagittal plane, respectively.
FIGS. 27 to 32 are lens arrangement diagrams of the zoom lens systems of a fourteenth to a nineteenth embodiment, respectively, each showing the lens arrangement of the wide-angle end [W]. In these lens arrangement diagrams, ri (i=1, 2, 3, . . . ) indicates the ith surface from the object side, and di (i=1, 2, 3, . . . ) indicates the ith axial distance from the object side; a surface whose symbol ri is marked with an asterisk (*) is an aspherical surface.
In all of the fourteenth to nineteenth embodiments, the zoom lens system consists of two lens units that are, from the object side, a first lens unit Gr1 having a negative optical power and a second lens unit Gr2 having a positive optical power, and performs zooming from the wide-angle end [W] to the telephoto end [T] by moving the first and second lens units Gr1 and Gr2 in such a way that the distance d4 between them decreases. In the lens arrangement diagram of each embodiment, arrows m1 and m2 schematically indicate that movement of the first and second lens unit Gr1 and Gr2, respectively, during zooming from the wide-angle end [W] to the telephoto end [T]. In all of these embodiments, an aperture diaphragm A that moves together with the second lens unit Gr2 during zooming is provided between the first and second lens units Gr1 and Gr2, and a low-pass filter P that has a shape of a flat plate is inserted between the most image-side lens element and the image plane I.
In a zoom lens system that consists of a first lens unit Gr1 having a negative optical power and a second lens unit Gr2 having a positive optical power and that performs zooming by varying by the distance d4 between the first and second lens units Gr1 and Gr2, it is preferable, as in the fourteenth, fifteenth, and eighteenth embodiments, that the second lens unit Gr2 be composed of only one doublet lens element formed by cementing a positive lens element and a negative lens element together, and in addition that condition (14) below be satisfied; or alternatively, it is preferable, as in the sixteenth, seventeenth, and nineteenth embodiments, that the second lens unit Gr2 be composed of, from the object side, a doublet lens element formed by cementing a positive lens element and a negative lens element together, and a positive lens element, and in addition that condition (14) below be satisfied. ##EQU9## where
.PHI.1 represents the optical power of the first lens unit Gr1; and
.PHI.T represents the optical power of the entire zoom lens system at the telephoto end [T] (i.e. in the longest focal length condition).
Condition (14) defines the ratio of the optical power of the first lens unit Gr1 to the optical power of the entire zoom lens system at the telephoto end [T]. If the upper limit of condition (14) is exceeded, whereas it is easier to make the zoom lens system compact and secure a sufficiently large back focal length, the first lens unit Gr1 causes so large aberrations (particularly the negative distortion and the curvature of field in the wide-angle region) that it is difficult to correct them properly by the second lens unit Gr2. By contrast, if the lower limit of condition (14) is exceeded, whereas it is easier to achieve proper correction of aberrations, the first lens unit Gr1 has so weak an optical power that the total length of the zoom lens system at the wide-angle end [W] as well as the diameter of the first lens unit Gr1 becomes unduly large, in particular.
In a zoom lens system that consists of a first lens unit Gr1 having a negative optical power and a second lens unit Gr2 having a positive optical power and that performs zooming by varying the distance d4 between the first and second lens units Gr1 and Gr2, it is preferable, as in the fourteenth, fifteenth, and eighteenth embodiments, that the second lens unit Gr2 be composed of only one doublet lens element formed by cementing a positive lens element and a negative lens element together, and in addition that condition (15) below be satisfied; or alternatively, it is preferable, as in the sixteenth, seventeenth, and nineteenth embodiments, that the second lens unit Gr2 be composed of, from the object side, a doublet lens element formed by cementing a positive lens element and a negative lens element together, and a positive lens element, and in addition that condition (15) below be satisfied. ##EQU10## where
.PHI.1 represents the optical power of the first lens unit Gr1; and
.PHI.T represents the optical power of the second lens unit Gr2.
Condition (15) defines the ratio of the optical power of the first lens unit Gr1 to that of the second lens unit Gr2. If the lower limit of condition (15) is exceeded, the total length of the zoom lens system at the wide-angle end [W] is unduly large, and the first lens unit Gr1 needs to travel an unduly large distance for zooming. As a result, it is not possible to realize a compact zoom lens system. By contrast, if the upper limit of condition (15) is exceeded, the first lens unit Gr1 causes so large aberrations that the second lens unit Gr2 cannot correct them properly.
In general, in a zoom lens system of a two-unit construction that consists of a negative and a positive lens unit and that is composed of a minimum number of lens elements, an error in the unit-to-unit distance between the first and second lens units greatly affects the variation of the spherical aberration at the telephoto end [T]. This is because axial rays, which are made to diverge by the first lens unit Gr1, occupy a large diameter in the second lens unit Gr2, and therefore, to correct aberrations properly, every lens surface in the second lens unit Gr2, which is composed of a minimum of lens elements, needs to be given a strong optical power.
To reduce the production cost of a zoom lens system by reducing its size and the number of its constituent lens elements, and to minimize the degree to which the lens elements become more difficult to shape as a result of the miniaturization of the zoom lens system, in the fourteenth to nineteenth embodiments of the present invention, the second lens unit Gr2 has, as its first and second lens elements, a positive doublet lens element that is formed by cementing a positive lens element and a negative lens element together. This makes it possible to give a comparatively large curvature to the cementing interface between the positive and negative lens elements in the second lens unit Gr2 and at the same time keep the overall optical power fairly weak, and thereby make less influential the error in the air-space distance between those positive and negative lens elements as well as make less influential the error in the shape of the cementing interface. In addition, since it is very easy to limit the thickness of cement below a particular thickness by applying sufficient pressure in the cementing process, it is possible, as the combined effect of the factors noted above, to reduce the cost of lens-frame shaping, assembly, and other related processes. It should be understood that the cementing process includes the alignment of the lens elements.
In a zoom lens system that consists of a first lens unit Gr1 having a negative optical power and a second lens unit Gr2 having a positive optical power and that performs zooming by varying the distance d4 between the first and second lens units Gr1 and Gr2, it is preferable, as in the fourteenth, fifteenth, and eighteenth embodiments, that the second lens unit Gr2 be composed of only one doublet lens element formed by cementing a positive lens element and a negative lens element together, and in addition that condition (16) below be satisfied; or alternatively, it is preferable, as in the sixteenth, seventeenth, and nineteenth embodiments, that the second lens unit Gr2 be composed of, from the object side, a doublet lens element formed by cementing a positive lens element and a negative lens element together; and a positive lens element, and in addition that condition (16) below be satisfied. ##EQU11## where
Rc represents the radius of curvature for d-line of the cementing surface (interface) of the doublet lens element of the second lens unit Gr2;
Np represents the refractive index for d-line of the positive lens element of the doublet lens element of the second lens unit Gr2; and
Nn represents the refractive index for d-line of the negative lens element of the doublet lens element of the second lens unit Gr2.
Condition (16) defines the condition to be fulfilled to obtain an appropriate optical power in the cementing surface of the doublet lens of the second lens unit Gr2. If the upper limit of condition (16) is exceeded, the cementing surface has too strong an optical power. As a result, contrary to the objects of the present invention, the cementing surface causes aberrations of higher orders that are difficult to correct properly.
In a zoom lens system that consists of a first lens unit Gr1 having a negative optical power and a second lens unit Gr2 having a positive optical power and that performs zooming by varying the distance d4 between the first and second lens units Gr1 and Gr2, it is preferable, as in the fourteenth, fifteenth, and eighteenth embodiments, that the second lens unit Gr2 be composed of only one doublet lens element formed by cementing a positive lens element and a negative lens element together, and in addition that condition (17) below be satisfied; or alternatively, it is preferable, as in the sixteenth, seventeenth, and nineteenth embodiments, that the second lens unit Gr2 be composed of, from the object side, a doublet lens element formed by cementing a positive lens element and a negative lens element together, and a positive lens element, and in addition that condition (17) below be satisfied.
20<vp-vn (17)
where
vp represents the Abbe number for d-line of the positive lens element of the doublet lens element of the second lens unit (Gr2); and
vn represents the Abbe number for d-line of the negative lens element of the doublet lens element of the second lens unit (Gr2).
Condition (17) defines the Abbe numbers for d-line of the positive and negative lens elements of the doublet lens element of the second lens unit Gr2. In a zoom lens system, like those of the fourteenth to nineteenth embodiments, in which the second lens unit GR2 is composed of a minimum number of lens elements, it is preferable, from the viewpoint of chromatic aberration correction, that the positive and negative lens elements of the doublet lens element are made of optical materials that have as large an Abbe-number difference as defined by condition (17).
In a zoom lens system, like those of the fourteenth to nineteenth embodiments, in which at least one of conditions (14) to (17) is fulfilled, it is preferable that condition (18) below be additionally fulfilled.
1<img.multidot.R<20 (18)
where
img represents the maximum image height; and
R represents the effective radius of the most image-side surface of the entire zoom lens system.
Condition (18) defines the condition to be fulfilled to keep the size as well as the aberration and electronic-still-camera-specific characteristics of the zoom lens system appropriate. Usually, in a solid-state image-sensing device (such as a CCD) used in an electronic still camera, a microlens is provided in front of each of its light-sensing elements to condense light efficiently. To make the most of this microlens, it is essential to let rays enter the microlens approximately parallel to its optical axis (i.e. approximately perpendicularly to the light-receiving surface of each light-sensing element). To achieve this, it is necessary to design the entire zoom lens system to be approximately telecentric with respect to the image plane I.
If the upper limit of condition (18) is exceeded, the entire zoom lens system is too telecentric. As a result, the negative distortion becomes unduly large at the wide-angle end [W], and in addition the inclination of the image plane I toward the under side becomes unduly large. By contrast, if the lower limit of condition (18) is exceeded, it is difficult to make the entire zoom lens system approximately telecentric. As a result, even if the entire zoom lens system can be made approximately telecentric, the back focal length becomes unduly large and thus the zoom lens system as a whole becomes unduly large.
In a zoom lens system, like those of the fourteenth, fifteenth, and eighteenth embodiments, in which the second lens unit Gr2 is composed of only one doublet lens element formed by cementing a positive lens element and a negative lens element together and in which at least one of conditions (14) to (17) is fulfilled, it is preferable that condition (19) below be additionally fulfilled. In a zoom lens system, like those of the fourteenth, fifteenth, and eighteenth embodiments, in which the first lens unit Gr1 is composed of at least two lens elements that are, from the object side, a negative lens element having a strong optical power on its image side and a positive lens element and in which the second lens unit Gr2 is composed of only one positive doublet lens element formed by cementing together, from the object side, a positive biconvex lens element and a negative meniscus lens element convex to the image side, it is preferable that condition (19) below be additionally fulfilled. ##EQU12## where
Rp represents the radius of curvature of the object-side surface of the doublet lens element of the second lens unit Gr2; and
Rn represents the radius of curvature of the image-side surface of the doublet lens element of the second lens unit Gr2.
Condition (19) defines the shape of the doublet lens element of the second lens unit Gr2. If the upper limit of condition (19) is exceeded, the image-side curvature of the doublet lens element is too large relative to its object-side curvature. As a result, undesirably, the negative lens element of the doublet lens element has too weak an optical power, or the cementing surface has too strong an optical power that exceeds condition (3). As condition (19) approaches its lower limit, the optical power of the image-side surface of the doublet lens element approaches zero. This necessitates the second lens unit Gr2 deriving its positive optical power solely from the object-side surface of the doublet lens element, and thus makes it impossible to achieve well-balanced correction of aberrations.
In a zoom lens system, like those of the sixteenth, seventeenth, and nineteenth embodiments, in which the second lens unit Gr2 is composed of two lens elements that are, from the object side, a doublet lens element formed by cementing a positive lens element and a negative lens element together and a positive lens element and in which at least one of conditions (14) to (17) is fulfilled, it is preferable that condition (20) below be additionally fulfilled. In a zoom lens system, like those of the sixteenth, seventeenth, and nineteenth embodiments, in which the first lens unit Gr1 is composed of at least two lens elements that are, from the object side, a negative lens element having a strong optical power on its image side and a positive lens element and in which the second lens unit Gr2 is composed of, from the object side, a positive doublet lens element formed by cementing a positive biconvex lens element and a negative lens element having a large curvature on its object side together and a positive lens element, it is preferable that condition (20) below be additionally fulfilled.
0<.DELTA..phi./.phi.2<0.7 (20)
where
.DELTA..phi. represents the composite optical power of the image-side surface of the doublet lens element of the second lens unit Gr2 and the most image-side positive lens element, and is given as
.DELTA..phi.=(1-Nn)/Rn+.phi.23-e.multidot..phi.23.multidot.(1-Nn)/Rn
where
.phi.23 represents the optical power of the most image-side positive lens element;
Rn represents the radius of curvature of the image-side surface of the doublet lens element of the second lens unit Gr2; and
e represents the face-to-face distance, as converted properly, between the image-side surface of the doublet lens element of the second lens unit Gr2 and the most image-side positive lens element.
Condition (20) defines the ratio of the composite optical power of the image-side surface of the doublet lens element of the second lens unit Gr2 and the most image-side lens element to the optical power of the second lens unit Gr2. By providing a positive lens element behind the positive doublet lens element, the doublet lens element can distribute some of its positive optical power to the positive lens element. This allows aberrations to be corrected flexibly. In addition, this helps increase the effective diameter for off-axial rays on the rear-end lens surface and thereby improve the near-telecentricity of the zoom lens system with respect to the image-sensing surface I of a CCD which is one of the additional conditions to be fulfilled in an electronic still camera.
If the upper limit of condition (20) is exceeded, the most image-side positive lens element has too strong an optical power. As a result, undesirably, the inclination of the curvature of field toward the under side becomes unduly large, and in addition the negative distortion of the wide-angle end [W] becomes unduly large. As condition (20) approaches its lower limit, the composite optical power of the image-side surface of the doublet lens element and the most image-side positive lens element approaches zero. This necessitates the second lens unit Gr2 deriving its positive optical power solely from the object-side surface of the doublet lens element, and thus makes it impossible to achieve well-balanced correction of aberrations.
To reduce the production cost without sacrificing the optical performance, in a zoom lens system, like those of the fourteenth to nineteenth embodiments, in which at least one of conditions (14) to (17) is fulfilled, it is preferable that the first lens unit Gr1 is composed of at least two lens elements that are, from the object side, a negative lens element having a strong optical power on its image side and a positive lens element, and in addition that the first lens unit Gr1 is composed of at least two lens elements that are, from the object side, a negative lens element having a strong optical power on its image side and made of plastic and a positive lens element; moreover, it is preferable that the doublet lens element of the second lens unit Gr2 includes at least one lens element made of plastic.
To reduce the production cost further, in a zoom lens system, like those of the fourteenth, fifteenth, and eighteenth embodiments, in which the second lens unit Gr2 is composed of only one positive doublet lens element formed by cementing together, from the object side, a positive lens element and a negative lens element, it is preferable that at least one of the most object-side negative lens element in the first lens unit Gr1 and the most object-side positive lens element in the second lens unit Gr2 be made of plastic; on the other hand, in a zoom lens system, like those of the sixteenth, seventeenth, and nineteenth embodiments, in which the second lens unit Gr2 is composed of, from the object side, a positive doublet lens element formed by cementing a positive lens element and a negative lens element together and a positive lens element, it is preferable that at least one of the most object-side negative lens element in the first lens unit Gr1, the most object-side positive lens element in the second lens unit Gr2, and the most image-side positive lens element in the second lens unit Gr2 be made of plastic.
In all of the fourteenth to nineteenth embodiments, it is preferable that the most object-side surface of the first lens unit Gr1 be an aspherical surface that fulfills condition (21) below.
-0.02<.phi.1.multidot.(N'-N).multidot.Dev<0 (21)
where
N represents the refractive index for d-line of the medium that exists on the object side of the aspherical surface;
N' represents the refractive index for d-line of the medium that exists on the image side of the aspherical surface; and
Dev represents the amount by which the aspherical surface is aspherical at the effective radius of the aspherical surface, and is given as ##EQU13## where
x(y) represents the surface shape of the aspherical surface;
x0(y) represents the reference spherical surface shape of the aspherical surface;
r represents the reference radius of curvature of the aspherical surface;
.epsilon. represents the quadric surface parameter;
y represents the height in a direction perpendicular to the optical axis;
Ai represents the aspherical coefficient of the ith order; and
r# represents the paraxial radius of curvature of the aspherical surface (1/r#=(1/r)+2.multidot.A2).
Moreover, it is preferable that the most image-side surface in the second lens unit Gr2 be an aspherical surface that fulfills condition (22) below. Furthermore, it is preferable that either the most image-side surface of the doublet lens element of the second lens unit Gr2 (in the fourteenth to sixteenth, eighteenth, and nineteenth embodiments) or at least one surface of the most image-side positive lens element (in the seventeenth embodiment) be an aspherical surface that fulfills condition (22) below.
-0.02<.phi.2.multidot.(N'-N).multidot.Dev<0 (22)
In a zoom lens system, like those of the fourteenth to nineteenth embodiments, which is composed of a minimum number of lens elements, it is preferable, in order to achieve proper correction of aberrations over the entire zoom range, that the most object-side surface in the first lens unit Gr1 be an aspherical surface that fulfills condition (21), and in addition that either the most image-side surface of the positive doublet lens element of the second lens unit Gr2 or at least one surface of the most image-side positive lens element of the second lens unit Gr2 be an aspherical surface that fulfills condition (22).
Condition (21) predetermines the most object-side surface in the first lens unit Gr1 to be an aspherical surface that is so shaped that its negative optical power decreases from center to edge. If the upper limit of condition (21) is exceeded, it is difficult to correct the negative distortion in the wide-angle region with so small a number of lens elements. By contrast, if the lower limit of condition (21) is exceeded, the distortion is overcorrected, causing, for example, the curvature of field and the spherical aberration to appear on the negative side. As a result, it is not possible to achieve well-balanced correction of aberrations.
Condition (22) predetermines either the most image-side surface of the positive doublet lens element of the second lens unit Gr2 or at least one surface of the most image-side positive lens element of the second lens unit Gr2 to be an aspherical surface that is so shaped that its positive optical power decreases from center to edge. If the upper limit of condition (22) is exceeded, it is not possible to sufficiently correct the curvature of field in the wide-angle region and the spherical aberration in the telephoto region, in particular, with so small a number of lens elements. By contrast, if the lower limit of condition (22) is exceeded, undesirably, the curvature of field and the spherical aberration are overcorrected.
In the fourteenth to nineteenth embodiments described above, all lens units are composed solely of refracting lens elements that deflect incoming rays through refraction. However, the lens units may include a diffracting lens element that deflects incoming rays through diffraction, or even a refracting-diffracting hybrid-type lens element that deflects incoming rays through the combined effect of refraction and diffraction.
Tables 16 to 21 list the construction data of examples of the zoom lens systems of the fourteenth to nineteenth embodiments described above. In the construction data of each embodiment, ri (i=1, 2, 3, . . . ) represents the radius of curvature of the ith surface from the object side, di (i=1, 2, 3, . . . ) represents the ith axial distance from the object side, and Ni (i=1, 2, 3, . . . ) and vi (i=1, 2, 3, . . . ) respectively represent the refractive index (Nd) and the Abbe number (vd) for d-line of the ith optical element from the object side. Moreover, in the construction data, for each of the axial distances that vary with zooming (i.e. the variable axial distances), three values are given that are, from left, the axial aerial distance between the lens units at the wide-angle end [W], the same distance at the middle-focal-length position [M], and the same distance at the telephoto end [T]. Listed together with the construction data are the focal length f and the f-number FNO of the entire zoom lens system in those three focal-length conditions [W], [M], and [T]. Table 22 lists, for each embodiment, the values corresponding to conditions (14) to (22).
Furthermore, in the construction data, a surface whose radius of curvature ri is marked with an asterisk (*) is an aspherical surface, whose surface shape is defined by formula (as) below. The data of the aspherical surface are also listed together with the construction data of each embodiment. ##EQU14## where
X represents the displacement from the reference surface along the optical axis (=x(y));
Y represents the height in a direction perpendicular to the optical axis (=y);
C represents the paraxial curvature;
.epsilon. represents the quadric surface parameter; and
Ai represents the aspherical coefficient of the ith order.
FIGS. 33A-33I, 34A-34I, 35A-35I, 36A-36I, 37A-37I, and 38A-38I are aberration diagrams of the examples of the fourteenth to nineteenth embodiments, respectively. Of these aberration diagrams, FIGS. 33A-33C, 34A-34C, 35A-35C, 36A-36C, 37A-37C, and 38A-38C show the aberrations observed at the wide-angle end [W], FIGS. 33D-33F, 34D-34F, 35D-35F, 36D-36F, 37D-37F, and 38D-38F show the aberrations observed at the middle-focal-length position [M], and FIGS. 33G-33I, 34G-34I, 35G-35I, 36G-36I, 37G-37I, and 38G-38I show the aberrations observed at the telephoto end [T], with FIGS. 33A, 33D, 33G, 34A, 34D, 34G, 35A, 35D, 35G, 36A, 36D, 36G, 37A, 37D, 37G, 38A, 38D, and 38G showing the spherical aberration and sine condition, FIGS. 33B, 33E, 33H, 34B, 34E, 34H, 35B, 35E, 35H, 36B, 36E, 36H, 37B, 37E, 37H, 38B, 38E, and 38H showing the astigmatism, and FIGS. 33C, 33F, 33I, 34C, 34F, 34I, 35C, 35F, 35I, 36C, 36F, 36I, 37C, 37F, 37I, 38C, 38F, and 38I showing the distortion. In the spherical aberration diagrams, the solid line (d) and the broken line (SC) show the spherical aberration for d-line and the sine condition, respectively; in the astigmatism diagrams, the broken line (DM) and the solid line (DS) show the astigmatism for d-line on the meridional plane and on the sagittal plane, respectively.
This application is based on application Nos. 9-90963, 9-90994, and 9-306707 filed in Japan, the contents of which are hereby incorporated by reference.
TABLE 1______________________________________<< Construction Data of Embodiment 1 >>f = 3.3 .about.5.5 .about.9.4FNO = 3.49.about.4.30.about.5.80______________________________________Radius of Axial Refractive AbbeCurvature Distance Index Number______________________________________r1 = 8.963 d1 = 0.400 N1 = 1.62280 v1 = 56.88r2 = 1.935 d2 = 1.089r3* = 14.624 d3 = 1.756 N2 = 1.84666 v2 = 23.82r4* = 458.663 d4 = 6.379.about.2.624.about.0.400r5 = .infin. d5 = 0.400(Aperture Diaphragm A)r6 = 2.565 d6 = 2.140 N3 = 1.48749 v3 = 70.44r7 = -6.784 d7 = 0.100r8* = 12.365 d8 = 2.375 N4 = 1.84666 v4 = 23.82r9* = 54.650 d9 = 0.800.about.2.937.about.6.550r10 = .infin. d10 = 4.200 N5 = 1.54426 v5 = 69.60r11 = .infin.______________________________________[Aspherical Coefficients of Surface r3] .epsilon. = 1.0000 A4 = 0.29913 .times. 10.sup.-2 A6 = 0.84749 .times. 10.sup.-3 A8 = 0.36478 .times. 10.sup.-3A10 = -0.16681 .times. 10.sup.-3A12 = 0.50168 .times. 10.sup.-4[Aspherical Coefficients of Surface r4] .epsilon. = 1.0000 A4 = -0.41853 .times. 10.sup.-2 A6 = 0.24351 .times. 10.sup.-2 A8 = -0.16835 .times. 10.sup.-2A10 = 0.51823 .times. 10.sup.-3A12 = -0.49051 .times. 10.sup.-4[Aspherical Coefficients of Surface r8] .epsilon. = 1.0000 A4 = -0.87194 .times. 10.sup.-2 A6 = -0.11196 .times. 10.sup.-2 A8 = 0.80124 .times. 10.sup.-3A10 = -0.41566 .times. 10.sup.-3A12 = 0.39561 .times. 10.sup.-4[Aspherical Coefficients of Surface r9] .epsilon. = 1.0000 A4 = 0.45693 .times. 10.sup.-2 A6 = -0.64481 .times. 10.sup.-2 A8 = 0.92357 .times. 10.sup.-2A10 = -0.50204 .times. 10.sup.-2A12 = 0.10223 .times. 10.sup.-2[Values of Condition (5) on Surface r3]y = 0.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.00000y = 0.10ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.00001y = 0.20ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.00009y = 0.30ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.00046y = 0.40ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.00153y = 0.50ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.00401y = 0.60ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.00905y = 0.70ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.01849y = 0.80ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.03530y = 0.90ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.06456y = 1.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.11602[Values of Condition (5) on Surface r4]y = 0.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = 0.00000y = 0.10ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.00015y = 0.20ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.00236y = 0.30ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.01135y = 0.40ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.03188y = 0.50ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.02559y = 0.60ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = 0.00217y = 0.70ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = 0.06296y = 0.80ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = 0.17201y = 0.90ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = 0.34486y = 1.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = 0.58534[Values of Condition (6) on Surface r8]y = 0.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00000y = 0.10ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00001y = 0.20ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00011y = 0.30ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00055y = 0.40ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00175y = 0.50ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00432y = 0.60ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00907y = 0.70ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.01702y = 0.80ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.02950y = 0.90ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.04829y = 1.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.07602[Values of Condition (6) on Surface r9]y = 0.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00000y = 0.10ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00001y = 0.20ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00020y = 0.30ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00092y = 0.40ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00261y = 0.50ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00587y = 0.60ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.01175y = 0.70ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.02227y = 0.80ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.04058y = 0.90ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.07058y = 1.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.11751______________________________________
TABLE 2______________________________________<< Construction Data of Embodiment 2 >>f = 3.3 .about.5.5 .about.9.4FNO = 2.10.about.2.39.about.2.90______________________________________Radius of Axial Refractive AbbeCurvature Distance Index Number______________________________________r1 = 8.490 d1 = 0.500 N1 = 1.62280 v1 = 56.88r2 = 4.576 d2 = 1.259r3 = 9.683 d3 = 0.400 N2 = 1.75450 v2 = 51.57r4 = 4.382 d4 = 1.234r5* = 14.281 d5 = 2.431 N3 = 1.84666 v3 = 23.82r6* = 59.441 d6 = 15.193.about.5.903.about.0.400r7 = .infin. d7 = 0.400(Aperture Diaphragm A)r8 = 6.060 d8 = 1.552 N4 = 1.48749 v4 = 70.44r9 = 16.990 d9 = 0.100r10 = 5.330 d10 = 4.192 N5 = 1.48749 v5 = 70.44r11 = -4.880 d11 = 0.176r12* = -4.207 d12 = 2.363 N6 = 1.84666 v6 = 23.82r13* = -8.306 d13 = 0.800.about.2.613.about.5.677r14 = .infin. d14 = 4.200 N7 = 1.54426 v7 = 69.60r15 = .infin.______________________________________[Aspherical Coefficients of Surface r5] .epsilon. = 1.0000 A4 = -0.26160 .times. 10.sup.-3 A6 = 0.46890 .times. 10.sup.-4 A8 = -0.71229 .times. 10.sup.-5A10 = 0.85206 .times. 10.sup.-6A12 = -0.26007 .times. 10.sup.-7[Aspherical Coefficients of Surface r6] .epsilon. = 1.0000 A4 = -0.13287 .times. 10.sup.-2 A6 = 0.93286 .times. 10.sup.-4 A8 = -0.23576 .times. 10.sup.-4A10 = 0.24749 .times. 10.sup.-5A12 = -0.99213 .times. 10.sup.-7[Aspherical Coefficients of Surface r12] .epsilon. = 1.0000 A4 = -0.62363 .times. 10.sup.-3 A6 = -0.51179 .times. 10.sup.-3 A8 = 0.42847 .times. 10.sup.-3A10 = -0.10578 .times. 10.sup.-3A12 = 0.94595 .times. 10.sup.-5[Aspherical Coefficients of Surface r13] .epsilon. = 1.0000 A4 = 0.15534 .times. 10.sup.-2 A6 = -0.96434 .times. 10.sup.-3 A8 = 0.57132 .times. 10.sup.-3A10 = -0.13168 .times. 10.sup.-3A12 = 0.11264 .times. 10.sup.-5[Values of Condition (5) on Surface r5]y = 0.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.00000y = 0.10ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.00000y = 0.20ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.00006y = 0.30ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.00027y = 0.40ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.00076y = 0.50ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.00164y = 0.60ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.00294y = 0.70ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.00446y = 0.80ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.00544y = 0.90ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.00372y = 1.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.00541[Values of Condition (5) on Surface r6]y = 0.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = 0.00000y = 0.10ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.00007y = 0.20ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.00107y = 0.30ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.00530y = 0.40ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.01634y = 0.50ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.03910y = 0.60ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.08016y = 0.70ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.14827y = 0.80ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.25439y = 0.90ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.41140y = 1.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.39402[Values of Condition (6) on Surface r12]y = 0.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00000y = 0.10ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00000y = 0.20ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00001y = 0.30ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00005y = 0.40ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00017y = 0.50ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00042y = 0.60ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00084y = 0.70ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00137y = 0.80ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00190y = 0.90ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00225y = 1.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00214[Values of Condition (6) on Surface r13]y = 0.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = 0.00000y = 0.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00000y = 0.20ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00004y = 0.30ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00018y = 0.40ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00052y = 0.50ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00116y = 0.60ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00229y = 0.70ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00431y = 0.80ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00779y = 0.90ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.01340y = 1.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.02200______________________________________
TABLE 3______________________________________<< Construction Data of Embodiment 3 >>f = 3.3 .about.5.5 .about.9.4FNO = 2.03.about.2.35.about.2.90______________________________________Radius of Axial Refractive AbbeCurvature Distance Index Number______________________________________r1* = 52.424 d1 = 0.400 N1 = 1.62280 v1 = 56.88r2 = 3.727 d2 = 1.820r3* = 9.469 d3 = 3.022 N2 = 1.84666 v2 = 23.82r4* = 17.105 d4 = 13.730.about.5.359.about.0.400r5 = .infin. d5 = 0.400(Aperture Diaphragm A)r6* = 4.250 d6 = 4.512 N3 = 1.48749 v3 = 70.44r7 = -4.499 d7 = 0.156r8* = -9.278 d8 = 2.361 N4 = 1.84666 v4 = 23.82r9* = 37.289 d9 = 0.800.about.2.540.about.5.481r10 = .infin. d10 = 4.200 N5 = 1.54426 v5 = 69.60r11 = .infin.______________________________________[Aspherical Coefficients of Surface r1] .epsilon. = 1.0000A4 = 0.16304 .times. 10.sup.-2A6 = -0.69685 .times. 10.sup.-4A8 = 0.17269 .times. 10.sup.-5[Aspherical Coefficients of Surface r3] .epsilon. = 1.0000 A4 = -0.10366 .times. 10.sup.-2 A6 = 0.72273 .times. 10.sup.-4 A8 = -0.63612 .times. 10.sup.-5A10 = 0.11953 .times. 10.sup.-5A12 = -0.53481 .times. 10.sup.-7[Aspherical Coefficients of Surface r4] .epsilon. = 1.0000 A4 = -0.12695 .times. 10.sup.-2 A6 = 0.57868 .times. 10.sup.-4 A8 = -0.13107 .times. 10.sup.-4A10 = 0.22643 .times. 10.sup.-5A12 = -0.14283 .times. 10.sup.-6[Aspherical Coefficients of Surface r6] .epsilon. = 1.0000 A4 = -0.10435 .times. 10.sup.-2 A6 = -0.14792 .times. 10.sup.-3 A8 = 0.14927 .times. 10.sup.-4A10 = -0.28654 .times. 10.sup.-5[Aspherical Coefficients of Surface r8] .epsilon. = 1.0000 A4 = -0.27963 .times. 10.sup.-2 A6 = -0.46537 .times. 10.sup.-3 A8 = 0.19649 .times. 10.sup.-3A10 = -0.34003 .times. 10.sup.-4A12 = 0.24924 .times. 10.sup.-5[Aspherical Coefficients of Surface r9] .epsilon. = 1.0000 A4 = 0.55843 .times. 10.sup.-3 A6 = -0.11082 .times. 10.sup.-2 A8 = 0.61307 .times. 10.sup.-3A10 = -0.13271 .times. 10.sup.-3A12 = 0.11115 .times. 10.sup.-4[Values of Condition (5) on Surface r1]y = 0.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.00000y = 0.10ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.00028y = 0.20ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.00437y = 0.30ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.02146y = 0.40ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.06513y = 0.50ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.15105y = 0.60ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.29464y = 0.70ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.50939y = 0.80ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.80689y = 0.90ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -1.19984y = 1.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -1.70944[Values of Condition (5) on Surface r3]y = 0.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.00000y = 0.10ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = 0.00001y = 0.20ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = 0.00017y = 0.30ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = 0.00084y = 0.40ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = 0.00255y = 0.50ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = 0.00589y = 0.60ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = 0.01134y = 0.70ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = 0.01898y = 0.80ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = 0.02785y = 0.90ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = 0.03522y = 1.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = 0.03633[Values of Condition (5) on Surface r4]y = 0.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = 0.00000y = 0.10ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.00001y = 0.20ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.00024y = 0.30ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.00118y = 0.40ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.00368y = 0.50ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.00883y = 0.60ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.01798y = 0.70ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.03262y = 0.80ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.05429y = 0.90ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.08460y = 1.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.12652[Values of Condition (6) on Surface r6]y = 0.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = 0.00000y = 0.10ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00001y = 0.20ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00008y = 0.30ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00043y = 0.40ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00144y = 0.50ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00374y = 0.60ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00827y = 0.70ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.01654y = 0.80ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.03101y = 0.90ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.05607y = 1.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.10014[Values of Condition (6) on Surface r8]y = 0.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00000y = 0.10ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00001y = 0.20ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00013y = 0.30ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00069y = 0.40ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00224y = 0.50ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00561y = 0.60ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.01181y = 0.70ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.02197y = 0.80ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.03724y = 0.90ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.05864y = 1.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.08676[Values of Condition (6) on Surface r9]y = 0.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = 0.00000y = 0.10ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00000y = 0.20ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00006y = 0.30ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00017y = 0.40ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00019y = 0.50ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = 0.00022y = 0.60ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = 0.00120y = 0.70ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = 0.00215y = 0.80ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = 0.00133y = 0.90ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00401y = 1.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.01850______________________________________
TABLE 4______________________________________<< Construction Data of Embodiment 4 >>f = 3.3 .about.5.5 .about.9.4FNO = 1.98.about.2.32.about.2.90______________________________________Radius of Axial Refractive AbbeCurvature Distance Index Number______________________________________r1 = 8.328 d1 = 0.500 N1 = 1.62280 v1 = 56.88r2 = 4.691 d2 = 1.314r3 = 9.715 d3 = 0.400 N2 = 1.75450 v2 = 51.57r4 = 4.322 d4 = 1.311r5* = 13.436 d5 = 2.224 N3 = 1.84666 v3 = 23.82r6* = 42.562 d6 = 15.308.about.5.977.about.0.450r7 = 6.027 d7 = 1.650 N4 = 1.48749 v4 = 70.44r8 = 22.029 d8 = 0.400r9 = .infin. d9 = 0.400(Aperture Diaphragm A)r10 = 5.506 d10 = 3.745 N5 = 1.48749 v5 = 70.44r11 = -5.158 d11 = 0.144r12* = -4.419 d12 = 2.404 N6 = 1.84666 v6 = 23.82r13* = -8.557 d13 = 0.800.about.2.621.about.5.698r14 = .infin. d14 = 4.200 N7 = 1.54426 v7 = 69.60r15 = .infin.______________________________________[Aspherical Coefficients of Surface r5] .epsilon. = 1.0000 A4 = -0.36037 .times. 10.sup.-3 A6 = 0.61222 .times. 10.sup.-4 A8 = -0.93657 .times. 10.sup.-5A10 = 0.98907 .times. 10.sup.-6A12 = -0.26007 .times. 10.sup.-7[Aspherical Coefficients of Surface r6] .epsilon. = 1.0000 A4 = -0.14328 .times. 10.sup.-2 A6 = 0.11578 .times. 10.sup.-3 A8 = -0.26863 .times. 10.sup.-4A10 = 0.26675 .times. 10.sup.-5A12 = -0.99213 .times. 10.sup.-7[Aspherical Coefficients of Surface r12] .epsilon. = 1.0000 A4 = -0.25302 .times. 10.sup.-3 A6 = -0.51788 .times. 10.sup.-3 A8 = 0.43083 .times. 10.sup.-3A10 = -0.10673 .times. 10.sup.-3A12 = 0.94595 .times. 10.sup.-5[Aspherical Coefficients of Surface r13] .epsilon. = 1.0000 A4 = 0.16010 .times. 10.sup.-2 A6 = -0.94927 .times. 10.sup.-3 A8 = 0.56477 .times. 10.sup.-3A10 = -0.13114 .times. 10.sup.-3A12 = 0.11264 .times. 10.sup.-4[Values of Condition (5) on Surface r5]y = 0.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.00000y = 0.10ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = 0.00001y = 0.20ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = 0.00009y = 0.30ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = 0.00040y = 0.40ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = 0.00116y = 0.50ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = 0.00252y = 0.60ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = 0.00457y = 0.70ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = 0.00712y = 0.80ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = 0.00914y = 0.90ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = 0.00746y = 1.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.00542[Values of Condition (5) on Surface r6]y = 0.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = 0.00000y = 0.10ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.00006y = 0.20ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.00100y = 0.30ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.00494y = 0.40ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.01514y = 0.50ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.03601y = 0.60ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.07353y = 0.70ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.13566y = 0.80ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.23217y = 0.90ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.37391y = 1.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f1} = -0.56482[Values of Condition (6) on Surface r12]y = 0.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00000y = 0.10ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00000y = 0.20ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00000y = 0.30ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00003y = 0.40ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00010y = 0.50ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00025y = 0.60ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00047y = 0.70ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00068y = 0.80ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00069y = 0.90ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00030y = 1.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = 0.00082[Values of Condition (6) on Surface r13]y = 0.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = 0.00000y = 0.10ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00000y = 0.20ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00004y = 0.30ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00020y = 0.40ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00056y = 0.50ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00125y = 0.60ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00249y = 0.70ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00467y = 0.80ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.00838y = 0.90ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.01432y = 1.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N) .multidot. f2} = -0.02331______________________________________
TABLE 5______________________________________<< Values Corresponding to Conditions (1) to (4) >>Cond. (1) Cond. (2) Cond. (3): K/T Cond. (4)T.sub.1-2 /Y' .vertline.f.sub.1 /f.sub.2 .vertline./Z g.sup.2 g.sup.3 g.sup.4 g.sup.5 Y'xRL______________________________________Emb. 1 0.44 0.37 0.92 0.72 2.25Emb. 2 0.44 0.44 0.96 0.78 0.70 3.47Emb. 3 0.44 0.45 0.90 0.67 3.47Emb. 4 0.25 0.43 0.83 0.74 0.70 3.47______________________________________
TABLE 6______________________________________<< Construction Data of Embodiment 5 >>______________________________________f = 7.2.about.12.3.about.20.9FNO = 3.42.about.4.29.about.5.77Radius of Axial Refractive AbbeCurvature Distance Index Number______________________________________r1* = 35.910 d1= 1.501 N1= 1.78100 .nu.1= 44.55r2 = 5.360 d2= 2.310r3 = 7.325 d3= 2.569 N2= 1.80518 .nu.2= 25.46r4 = 10.080 d4= 17.097.about.8.531.about.3.500r5 = " (Aperture Diaphragm A) d5= 1.500r6 = 5.327 d6= 4.423 N3= 1.48749 .nu.3= 70.44r7 = -27.754 d7= 0.992r8* = -28.910 d8= 2.022 N4= 1.84666 .nu.4= 23.82r9* = 46.190 d9= 1.051r10 = 54.281 d10 = 2.135 N5= 1.51823 .nu.5= 58.96r11 = 135.673 d11 = 3.000.about.8.031.about.16.594r12 = .infin. d12 = 4.000 N6= 1.51680 .nu.6= 64.20r13 = .infin.______________________________________[Aspherical Coefficients of Surface r1].epsilon. 1.0000A4 = 0.14565 .times. 10.sup.-3A6 = 0.86451 .times. 10.sup.-6A8 = 0.43653 .times. 10.sup.-7A10 = -0.51589 .times. 10.sup.-9A12 = -0.85722 .times. 10.sup.-12[Aspherical Coefficients of Surface r8].epsilon. = 1.0000A4 = -0.14326 .times. 10.sup.-2A6 = -0.29125 .times. 10.sup.-4A8 = -0.39276 .times. 10.sup.-6A10 = -0.81955 .times. 10.sup.-9A12 = -0.13919 .times. 10.sup.-11[Aspherical Coefficients of Surface r9].epsilon. = 1.0000A4 = -0.30763 .times. 10.sup.-3A6 = 0.26092 .times. 10.sup.-4A8 = 0.25298 .times. 10.sup.-6A10 = 0.35670 .times. 10.sup.-9A12 = -0.17370 .times. 10.sup.-13[Values of Condition (9) on Surface r1]y = 0.00ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{CO.cndot.(N' - N)}= 0.00000y = 0.10ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{CO.cndot.(N' - N)}= 0.00113y = 0.20ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{CO.cndot.(N' - N)}= 0.01817y = 0.30ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{CO.cndot.(N' - N)}= 0.09336y = 0.40ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{CO.cndot.(N' - N)}= 0.30224y = 0.50ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{CO.cndot.(N' - N)}= 0.76427y = 0.60ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{CO.cndot.(N' - N)}= 1.66156y = 0.70ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{CO.cndot.(N' - N)}= 3.26495y = 0.80ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{CO.cndot.(N' - N)}= 5.95967y = 0.90ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{CO.cndot.(N' - N)}= 10.24934y = 1.00ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{CO.cndot.(N' - N)}= 16.69611[Values of Condition (11) on Surface r8]y = 0.00ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{CO.cndot.(N' - N)}= -0.00000y = 0.10ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{CO.cndot.(N' - N)}= -0.00018y = 0.20ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{CO.cndot.(N' - N)}= -0.00282y = 0.30ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{CO.cndot.(N' - N)}= -0.01439y = 0.40ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{CO.cndot.(N' - N)}= -0.04586y = 0.50ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{CO.cndot.(N' - N)}= -0.1132ly = 0.60ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{CO.cndot.(N' - N)}= -0.23796y = 0.70ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{CO.cndot.(N' - N)}= -0.44800y = 0.80ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{CO.cndot.(N' - N)}= -0.77863y = 0.90ymax . . . {.vertline.X.vertline. - .vertline.x0.vertline.}/{CO.cndot.(N' - N)}= -1.27392y = 1.00ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{CO.cndot.(N' - N)}= -1.98838______________________________________
TABLE 7______________________________________<<Construction Data of Embodiment 6 >>______________________________________f = 7.2.about.12.3.about.20.9FNO = 3.43.about.4.29.about.5.77Radius of Axial Refractive AbbeCurvature Distance Index Number______________________________________r1* = 36.213 d1 = 1.562 N1 = 1.80500 .nu.1 = 40.97r2 = 5.697 d2 = 2.250r3 = 7.603 d3 = 2.623 N2 = 1.80518 .nu.2 = 25.46r4 = 10.754 d4 = 17.682.about.8.748.about.3.500r5 = " (Aperture Diaphragm A) d5 = 1.500r6 = 4.881 d6 = 4.287 N3 = 1.48749 .nu.3 = 70.44r7 = -44.215 d7 = 0.510r8* = -30.927 d8 = 2.124 N4 = 1.84666 .nu.4 = 23.82r9* = 58.669 d9 = 1.158r10 = 42.029 d10 = 2.254 N5 = 1.51823 .nu.5 = 58.96r11 = 48.047 d11 = 3.000.about.7.597.about.15.420r12 = .infin. d12 = 4.000 N6 = 1.51680 .nu.6 = 64.20r13 = .infin.______________________________________[Aspherical Coefficients of Surface r1].epsilon. = 1.0000A4 = 0.11342 .times. 10.sup.-3A6 = 0.95012 .times. 10.sup.-6A8 = 0.30259 .times. 10.sup.-7A10 = -0.77644 .times. 10.sup.-9A12 = 0.75944 .times. 10.sup.-11[Aspherical Coefficients of Surface r8].epsilon. = 1.0000A4 = -0.11520 .times. 10.sup.-2A6 = -0.27790 .times. 10.sup.-4A8 = -0.38221 .times. 10.sup.-6A10 = -0.75295 .times. 10.sup.-9A12 = -0.52428 .times. 10.sup.-12[Aspherical Coefficients of Surface r9].epsilon. = 1.0000A4 = 0.29172 .times. 10.sup.-3A6 = 0.39502 .times. 10.sup.-4A8 = 0.30055 .times. 10.sup.-6A10 = 0.51411 .times. 10.sup.-9A12 = 0.98641 .times. 10.sup.-12[Values of Condition (9) on Surface r1]y = 0.00ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{CO.cndot.(N' - N)}= 0.00000y = 0.10ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{CO.cndot.(N' - N)}= 0.00103y = 0.20ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{CO.cndot.(N' - N)}= 0.01671y = 0.30ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{CO.cndot.(N' - N)}= 0.08643y = 0.40ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{CO.cndot.(N' - N)}= 0.28206y = 0.50ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{CO.cndot.(N' - N)}= 0.71909y = 0.60ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{CO.cndot.(N' - N)}= 1.57336y = 0.70ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{CO.cndot.(N' - N)}= 3.10107y = 0.80ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{CO.cndot.(N' - N)}= 5.66087y = 0.90ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{CO.cndot.(N' - N)}= 9.74969y = 1.00ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{CO.cndot.(N' - N)}= 16.10445[Values of Condition (11) on Surface r8]y = 0.00ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{CO.cndot.(N' - N)}= -0.0000y = 0.10ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{CO.cndot.(N' - N)}= -0.00015y = 0.20ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{CO.cndot.(N' - N)}= -0.00234y = 0.30ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{CO.cndot.(N' - N)}= -0.01191y = 0.40ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{CO.cndot.(N' - N)}= -0.03801y = 0.50ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{CO.cndot.(N' - N)}= -0.09399y = 0.60ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{CO.cndot.(N' - N)}= -0.19797y = 0.70ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{CO.cndot.(N' - N)}= -0.37362y = 0.80ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{CO.cndot.(N' - N)}= -0.65118y = 0.90ymax . . . {.vertline.X.vertline. - .vertline.x0.vertline.}/{CO.cndot.(N' - N)}= -1.06871y = 1.00ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{CO.cndot.(N' - N)}= -1.67375______________________________________
TABLE 8______________________________________<< Construction Data of Embodiment 7 >>f = 7.2.about.12.3.about.20.9FNO = 3.68.about.4.45.about.5.77______________________________________Radius of Axial Refractive AbbeCurvature Distance Index Number______________________________________r1* = 59.731 d1 = 1.614 N1 = 1.76743 v1 = 49.48r2 = 6.153 d2 = 2.888r3 = 8.373 d3 = 2.279 N2 = 1.80518 v2 = 25.46r4 = 11.498 d4 = 21.334.about.10.099.about.3.500r5 = .infin. d5 = 1.500(Aperture Diaphragm A)r6 = 7.178 d6 = 3.170 N3 = 1.48749 v3 = 70.44r7 = -53.943 d7 = 2.203r8* = -63.188 d8 = 2.041 N4 = 1.84506 v4 = 23.66r9 = 27.663 d9 = 1.109r10 = 94.851 d10 = 2.229 N5 = 1.51823 v5 = 58.96r11 = -14.700 d11 = 3.000.about.8.582.about.18.083r12 = .infin. d12 = 4.000 N6 = 1.51680 v6 = 64.20r13 = .infin.______________________________________[Aspherical Coefficients of Surface r1] .epsilon. = 1.0000 A4 = 0.10114 .times. 10.sup.-3 A6 = 0.11364 .times. 10.sup.-5 A8 = 0.94656 .times. 10.sup.-8A10 = -0.41171 .times. 10.sup.-9A12 = 0.28296 .times. 10.sup.-11[Aspherical Coefficients of Surface r8] .epsilon. = 1.0000 A4 = -0.49107 .times. 10.sup.-3 A6 = -0.71753 .times. 10.sup.-5 A8 = -0.19145 .times. 10.sup.-6A10 = -0.53207 .times. 10.sup.-9A12 = -0.14842 .times. 10.sup.-11[Values of Condition (9) on Surface r1]y = 0.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 0.00000y = 0.10ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 0.00150y = 0.20ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 0.02437y = 0.30ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 0.12646y = 0.40ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 0.41355y = 0.50ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 1.05358y = 0.60ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 2.29429y = 0.70ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 4.47810y = 0.80ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 8.04320y = 0.90ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 13.49941y = 1.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 21.37857[Values of Condition (11) on Surface r8]y = 0.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = -0.00000y = 0.10ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = -0.00019y = 0.20ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = -0.00305y = 0.30ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = -0.01554y = 0.40ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = -0.04948y = 0.50ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = -0.12201y = 0.60ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = -0.25618y = 0.70ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = -0.48188y = 0.80ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = -0.83703y = 0.90ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = -1.36937y = 1.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = -2.13863______________________________________
TABLE 9______________________________________<< Construction Data of Embodiment 8 >>f = 7.2.about.12.3.about.20.9FNO = 3.69.about.4.46.about.5.77______________________________________Radius of Axial Refractive AbbeCurvature Distance Index Number______________________________________r1* = 45.842 d1 = 1.619 N1 = 1.76743 v1 = 49.48r2 = 5.996 d2 = 2.906r3 = 8.207 d3 = 2.277 N2 = 1.80518 v2 = 25.46r4 = 11.029 d4 = 21.234.about.10.062.about.3.500r5 = .infin. d5 = 1.500(Aperture Diaphragm A)r6* = 9.493 d6 = 3.265 N3 = 1.51178 v3 = 69.07r7* = -16.257 d7 = 2.138r8 = 59.479 d8 = 2.122 N4 = 1.84666 v4 = 23.83r9 = 11.539 d9 = 1.246r10 = -474.575 d10 = 2.345 N5 = 1.54072 v5 = 47.20r11 = -11.957 d11 = 3.000.about.8.550.about.17.998r12 = .infin. d12 = 4.000 N6 = 1.51680 v6 = 64.20r13 = .infin.______________________________________[Aspherical Coefficients of Surface r1] .epsilon. = 1.0000 A4 = 0.16239 .times. 10.sup.-3 A6 = -0.18686 .times. 10.sup.-5 A8 = 0.65406 .times. 10.sup.-7A10 = -0.39915 .times. 10.sup.-9A12 = -0.33141 .times. 10.sup.-11[Aspherical Coefficients of Surface r6] .epsilon. = 1.0000 A4 = -0.18532 .times. 10.sup.-3 A6 = 0.67274 .times. 10.sup.-5 A8 = 0.12590 .times. 10.sup.-7A10 = -0.34303 .times. 10.sup.-9A12 = -0.66310 .times. 10.sup.-13[Aspherical Coefficients of Surface r7] .epsilon. = 1.0000 A4 = 0.21513 .times. 10.sup.-3 A6 = 0.76806 .times. 10.sup.-5 A8 = 0.76380 .times. 10.sup.-7A10 = 0.17846 .times. 10.sup.-9A12 = 0.30791 .times. 10.sup.-12[Values of Condition (9) on Surface r1]y = 0.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 0.00000y = 0.10ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 0.00183y = 0.20ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 0.02889y = 0.30ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 0.14326y = 0.40ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 0.44220y = 0.50ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 1.05717y = 0.60ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 2.16566y = 0.70ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 4.02038y = 0.80ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 6.98605y = 0.90ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 11.54247y = 1.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 18.15481[Values of Condition (12) on Surface r6]y = 0.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 0.00000y = 0.10ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = -0.00003y = 0.20ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = -0.00049y = 0.30ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = -0.00245y = 0.40ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = -0.00755y = 0.50ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = -0.01783y = 0.60ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = -0.03541y = 0.70ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = -0.06217y = 0.80ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = -0.09928y = 0.90ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = -0.14667y = 1.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = -0.20235______________________________________
TABLE 10______________________________________<< Construction Data of Embodiment 9 >>f = 7.2.about.12.3.about.20.9FNO = 3.68.about.4.45.about.5.77______________________________________Radius of Axial Refractive AbbeCurvature Distance Index Number______________________________________r1* = 46.783 d1 = 1.620 N1 = 1.76743 v1 = 49.48r2 = 5.977 d2 = 2.900r3 = 8.241 d3 = 2.280 N2 = 1.80518 v2 = 25.46r4 = 11.190 d4 = 21.219.about.10.056.about.3.500r5 = .infin. d5 = 1.500(Aperture Diaphragm A)r6 = 6.650 d6 = 2.965 N3 = 1.48749 v3 = 70.44r7 = -105.715 d7 = 1.853r8 = -31.543 d8 = 1.716 N4 = 1.84506 v4 = 23.66r9 = 43.219 d9 = 0.668r10* = -193.216 d10 = 2.329 N5 = 1.51823 v5 = 58.96r11* = -11.740 d11 = 3.000.about.8.546.about.17.985r12 = .infin. d12 = 4.000 N6 = 1.51680 v6 = 64.20r13 = .infin.______________________________________[Aspherical Coefficients of Surface r1] .epsilon. = 1.0000 A4 = 0.13182 .times. 10.sup.-3 A6 = 0.30560 .times. 10.sup.-6 A8 = 0.21859 .times. 10.sup.-7A10 = -0.36833 .times. 10.sup.-9A12 = 0.27186 .times. 10.sup.-11[Aspherical Coefficients of Surface r10] .epsilon. = 1.0000 A4 = -0.16031 .times. 10.sup.-2 A6 = -0.77021 .times. 10.sup.-4 A8 = -0.15952 .times. 10.sup.-5A10 = 0.15892 .times. 10.sup.-6A12 = 0.43611 .times. 10.sup.-8[Aspherical Coefficients of Surface r11] .epsilon. = 1.0000 A4 = -0.58651 .times. 10.sup.-3 A6 = -0.54302 .times. 10.sup.-4 A8 = 0.23793 .times. 10.sup.-5A10 = -0.19977 .times. 10.sup.-6A12 = 0.16690 .times. 10.sup.-7[Values of Condition (9) on Surface r1]y = 0.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 0.00000y = 0.10ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 0.00153y = 0.20ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 0.02451y = 0.30ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 0.12492y = 0.40ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 0.39944y = 0.50ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 0.99263y = 0.60ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 2.10971y = 0.70ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 4.03494y = 0.80ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 7.15378y = 0.90ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 11.97961y = 1.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 19.19615[Values of Condition (13) on Surface r11]y = 0.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 0.00000y = 0.10ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 0.00008y = 0.20ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 0.00134y = 0.30ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 0.00703y = 0.40ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 0.02321y = 0.50ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 0.05962y = 0.60ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 0.13070y = 0.70ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 0.25667y = 0.80ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 0.46412y = 0.90ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 0.78517y = 1.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 1.25213______________________________________
TABLE 11______________________________________<< Construction Data of Embodiment 10 >>f = 7.2.about.12.2.about.20.8FNO = 3.56.about.4.38.about.5.80______________________________________Radius of Axial Refractive AbbeCurvature Distance Index Number______________________________________r1 = 12.731 d1 = 0.952 N1 = 1.78100 v1 = 44.55r2 = 6.618 d2 = 2.476r3 = 26.535 d3 = 0.952 N2 = 1.80500 v2 = 40.97r4 = 7.583 d4 = 1.127r5 = 11.223 d5 = 2.571 N3 = 1.84506 v3 = 23.66r6* = 35.591 d6 = 17.273.about.7.558.about.1.835r7 = .infin. (Aperture Diaphragm A) d7 = 1.500r8 = 11.221 d8 = 2.226 N4 = 1.62280 v4 = 56.88r9 = -36.249 d9 = 0.109r10 = 6.585 d10 = 1.683 N5 = 1.62280 v5 = 56.88r11 = 18.995 d11 = 0.355r12 = -227.814 d12 = 2.361 N6 = 1.80518 v6 = 25.43r13 = 5.124 d13 = 1.398r14 = 13.398 d14 = 1.920 N7 = 1.65446 v7 = 33.86r15 = -25.464 d15 = 2.857.about.7.478.about.15.321r16 = .infin. d16 = 3.810 N8 = 1.51680 v8 = 64.20r17 = .infin.______________________________________[Aspherical Coefficients of Surface r6] .epsilon. = 1.0000 A4 = -0.20241 .times. 10.sup.-3 A6 = -0.61087 .times. 10.sup.-5 A8 = 0.26104 .times. 10.sup.-6A10 = -0.75184 .times. 10.sup.-8A12 = -0.45052 .times. 10.sup.-10[Values of Condition (10) on Surface r6]y = 0.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = -0.00000y = 0.10ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 0.00027y = 0.20ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 0.00433y = 0.30ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 0.02245y = 0.40ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 0.07305y = 0.50ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 0.18424y = 0.60ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 0.39519y = 0.70ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 0.75776y = 0.80ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 1.34015y = 0.90ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 2.23741y = 1.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 3.59837______________________________________
TABLE 12______________________________________<< Construction Data of Embodiment 11 >>f = 7.2.about.12.2.about.20.6FNO = 3.90.about.4.59.about.5.77______________________________________Radius of Axial Refractive AbbeCurvature Distance Index Number______________________________________r1 = 13.925 d1 = 1.000 N1 = 1.78100 v1 = 44.55r2 = 8.252 d2 = 3.360r3 = 24.430 d3 = 1.000 N2 = 1.77250 v2 = 49.77r4 = 8.084 d4 = 1.960r5* = 17.271 d5 = 2.590 N3 = 1.84506 v3 = 23.66r6* = 49.411 d6 = 23.556.about.10.051.about.2.056r7 = .infin. d7 = 1.500(Aperture Diaphragm A)r8 = 21.471 d8 = 2.000 N4 = 1.51823 v4 = 58.96r9 = -28.121 d9 = 0.200r10 = 8.645 d10 = 1.980 N5 = 1.74400 v5 = 44.90r11 = 24.150 d11 = 1.260r12 = -62.290 d12 = 2.860 N6 = 1.84666 v6 = 23.83r13 = 7.081 d13 = 1.750r14 = 15.050 d14 = 2.440 N7 = 1.58144 v7 = 40.89r15 = -12.512 d15 = 3.000.about.8.049.about.16.575r16 = .infin. d16 = 4.000 N8 = 1.51680 v8 = 64.20r17 = .infin.______________________________________[Aspherical Coefficients of Surface r5] .epsilon. = 1.0000 A4 = -0.49472 .times. 10.sup.-4 A6 = -0.90109 .times. 10.sup.-5 A8 = 0.65226 .times. 10.sup.-6A10 = -0.14834 .times. 10.sup.-7A12 = 0.56213 .times. 10.sup.-10[Aspherical Coefficients of Surface r6] .epsilon. = 1.0000 A4 = -0.20585 .times. 10.sup.-3 A6 = -0.13606 .times. 10.sup.-4 A8 = 0.10689 .times. 10.sup.-5A10 = -0.34439 .times. 10.sup.-7A12 = 0.34185 .times. 10.sup.-9[Values of Condition (10) on Surface r6]y = 0.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = -0.00000y = 0.10ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 0.00097y = 0.20ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 0.01623y = 0.30ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 0.08743y = 0.40ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 0.29337y = 0.50ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 0.74906y = 0.60ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 1.59147y = 0.70ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 2.97038y = 0.80ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 5.09061y = 0.90ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 8.35777y = 1.00ymax . . . {.vertline.x.vertline.-.vertline.x0.vertline.}/{C0.multidot. (N'-N)} = 13.61603______________________________________
TABLE 13______________________________________<< Construction Data of Embodiment 12 >>______________________________________f = 7.2.about.12.3.about.20.9FNO = 3.77.about.4.51.about.5.77Radius of Axial Refractive AbbeCurvature Distance Index Number______________________________________r1* = 46.650 d1 = 1.620 N1 = 1.76743 .nu.1 = 49.48r2 = 5.978 d2 = 2.900r3 = 8.244 d3 = 2.280 N2 = 1.80518 .nu.2 = 25.46r4 = 11.187 d4 = 22.155.about.10.403.about.3.500r5 = .infin. (Aperture Diaphragm A) d5 = 1.500r6 = 21.500 d6 = 2.000 N3 = 1.51823 .nu.3 = 58.96r7 = -27.935 d7 = 0.200r8 = 8.671 d8 = 1.979 N4 = 1.74400 .nu.4 = 44.90r9 = 24.168 d9 = 1.259r10 = -61.259 d10 = 2.860 N5 = 1.84666 .nu.5 = 23.83r11 = 7.069 d11 = 1.750r12 = 14.998 d12 = 2.440 N6 = 1.58144 .nu.6 = 40.89r13 = -11.904 d13 = 3.000.about.8.839.about.18.777r14 = .infin. d14 = 4.000 N7 = 1.51680 .nu.7 = 64.20r15 = .infin.[Aspherical Coefficients of Surface r1].epsilon. = 1.0000A4 = 0.14615 .times. 10.sup.-3A6 = 0.28983 .times. 10.sup.-6A8 = 0.21769 .times. 10.sup.-7A10 = -0.36943 .times. 10.sup.-9A12 = 0.27015 .times. 10.sup.-11[Values of Condition (9) on Surface r1]y = 0.00ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{C0.multidot. (N' - N)} = 0.00000y = 0.10ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{C0.multidot. (N' - N)} = 0.00169y = 0.20ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{C0.multidot. (N' - N)} = 0.02708y = 0.30ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{C0.multidot. (N' - N)} = 0.13790y = 0.40ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{C0.multidot. (N' - N)} = 0.44028y = 0.50ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{C0.multidot. (N' - N)} = 1.09177y = 0.60ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{C0.multidot. (N' - N)} = 2.31379y = 0.70ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{C0.multidot. (N' - N)} = 4.40940y = 0.80ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{C0.multidot. (N' - N)} = 7.78464y = 0.90ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{C0.multidot. (N' - N)} = 12.97349y = 1.00ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{C0.multidot. (N' - N)} = 20.67743______________________________________
TABLE 14______________________________________<< Construction Data of Embodiment 13 >>______________________________________f = 7.2.about.12.3.about.20.9FNO = 3.79.about.4.52.about.5.77Radius of Axial Refractive AbbeCurvature Distance Index Number______________________________________r1 = 13.848 d1 = 1.001 N1 = 1.78100 .nu.1 = 44.55r2 = 8.220 d2 = 3.360r3 = 24.413 d3 = 1.001 N2 = 1.77250 .nu.2 = 49.77r4 = 8.035 d4 = 1.960r5* = 17.206 d5 = 2.590 N3 = 1.84506 .nu.3 = 23.66r6* = 50.391 d6 = 22.976.about.9.797.about.2.056r7 = .infin. (Aperture Diaphragm A) d7 = 1.500r8 = 6.714 d8 = 3.151 N4 = 1.48749 .nu.4 = 70.44r9 = -90.945 d9 = 2.171r10* = -38.413 d10 = 2.021 N5 = 1.84506 .nu.5 = 23.66r11* = 33.049 d11 = 1.061r12 = 65.472 d12 = 2.201 N6 = 1.51823 .nu.6 = 58.96r13 = -16.002 d13 = 3.000.about.7.918.about.16.289r14 = .infin. d14 = 4.000 N7 = 1.51680 .nu.7 = 64.20r15 = .infin.[Aspherical Coefficients of Surface r5].epsilon. = 1.0000A4 = -0.33852 .times. 10.sup.-4A6 = -0.78693 .times. 10.sup.-5A8 = 0.65401 .times. 10.sup.-6A10 = -0.14836 .times. 10.sup.-7A12 = 0.56198 .times. 10.sup.-10[Aspherical Coefficients of Surface r6].epsilon. = 1.0000A4 = -0.17967 .times. 10.sup.-3A6 = -0.13292 .times. 10.sup.-4A8 = 0.10738 .times. 10.sup.-5A10 = -0.34418 .times. 10.sup.-7A12 = 0.34191 .times. 10.sup.-9[Aspherical Coefficients of Surface r10].epsilon. = 1.0000A4 = -0.48194 .times. 10.sup.-3A6 = 0.68718 .times. 10.sup.-5A8 = -0.24370 .times. 10.sup.-6A10 = -0.49237 .times. 10.sup.-9A12 = -0.88829 .times. 10.sup.-12[Aspherical Coefficients of Surface r11].epsilon. = 1.0000A4 = 0.11119 .times. 10.sup.-3A6 = 0.15629 .times. 10.sup.-4A8 = 0.10481 .times. 10.sup..about.6A10 = 0.38919 .times. 10.sup.-10A12 = -0.50038 .times. 10.sup.-12[Values of Condition (10) on Surface r6]y = 0.00ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{C0.multidot. (N' - N)} = -0.00000y = 0.10ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{C0.multidot. (N' - N)} = 0.00086y = 0.20ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{C0.multidot. (N' - N)} = 0.01455y = 0.30ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{C0.multidot. (N' - N)} = 0.07887y = 0.40ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{C0.multidot. (N' - N)} = 0.26584y = 0.50ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{C0.multidot. (N' - N)} = 0.67972y = 0.60ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{C0.multidot. (N' - N)} = 1.44084y = 0.70ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{C0.multidot. (N' - N)} = 2.67353y = 0.80ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{C0.multidot. (N' - N)} = 4.54495y = 0.90ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{C0.multidot. (N' - N)} = 7.40740y = 1.00ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{C0.multidot. (N' - N)} = 12.03118[Values of Condition (11) on Surface r10]y = 0.00ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{C0.multidot. (N' - N)} = -0.00000y = 0.10ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{C0.multidot. (N' - N)} = -0.00012y = 0.20ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{C0.multidot. (N' - N)} = -0.00186y = 0.30ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{C0.multidot. (N' - N)} = -0.00935y = 0.40ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{C0.multidot. (N' - N)} = -0.02934y = 0.50ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{C0.multidot. (N' - N)} = -0.07103y = 0.60ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{C0.multidot. (N' - N)} = -0.14583y = 0.70ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{C0.multidot. (N' - N)} = -0.26723y = 0.80ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{C0.multidot. (N' - N)} = -0.45064y = 0.90ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{C0.multidot. (N' - N)} = -0.71348y = 1.00ymax . . . {.vertline.x.vertline. - .vertline.x0.vertline.}/{C0.multidot. (N' - N)} = -1.07543______________________________________
TABLE 15______________________________________<< Values Corresponding to Conditions (7) and (8) >> Cond. (7) Cond. (8) .vertline..function..sub.1 / .function..sub.2 .vertline. / .vertline..function..sub.1 / .function.W.vertline.______________________________________Emb. 5 0.348 1.702Emb. 6 0.382 1.813Emb. 7 0.313 1.850Emb. 8 0.315 1.850Emb. 9 0.315 1.851Emb. 10 0.378 1.888Emb. 11 0.346 2.126Emb. 12 0.300 1.851Emb. 13 0.356 2.149______________________________________
TABLE 16______________________________________<< Construction Data of Embodiment 14 >>______________________________________f = 3.3.about.5.7.about.9.9FNO = 2.19.about.2.85.about.4.00Radius of Axial Refractive AbbeCurvature Distance Index Number______________________________________r1* = -1438.890 d1 = 1.500 N1 = 1.77250 .nu.1 = 49.77r2 = 2.887 d2 = 1.780r3* = 6.354 d3 = 1.840 N2 = 1.84666 .nu.2 = 23.82r4* = 9.570 d4 = 6.652.about.2.938-0.800r5 = .infin. (Aperture Diaphragm A) d5 = 0.200r6* = 3.701 d6 = 4.830 N3 = 1.58913 .nu.3 = 61.11r7 = -4.910 d7 = 0.650 N4 = 1.84666 .nu.4 = 23.82r8* = -11.836 d8 = 1.500.about.4.543.about.9.798r9 = .infin.(P) . . . d9 = 2.850 N5 = 1.54426 .nu.5 = 69.60r10 = .infin.[Data of Aspherical Surface r1].epsilon. = 1.0000A4 = 0.28118 .times. 10.sup.-2A6 = -0.13005 .times. 10.sup.-3[Data of Aspherical Surface r3].epsilon. = 1.0000A4 = -0.33947 .times. 10.sup.-2A6 = 0.10681 .times. 10.sup.-3A8 = 0.97935 .times. 10.sup.-4A10 = -0.94246 .times. 10.sup.-5[Data of Aspherical Surface r4].epsilon. = 1.0000A4 = -0.41942 .times. 10.sup.-2A6 = 0.37617 .times. 10.sup.-3[Data of Aspherical Surface r6].epsilon. = 1.0000A4 = -0.15431 .times. 10.sup.-2A6 = 0.31837 .times. 10.sup.-4A8 = -0.24072 .times. 10.sup.-5A10 = -0.42801 .times. 10.sup.-6[Data of Aspherical Surface r8].epsilon. = 1.0000A4 = 0.30909 .times. 10.sup.-2A6 = 0.48021 .times. 10.sup.-3A8 = -0.82337 .times. 10.sup.-4A10 = 0.16310 .times. 10.sup.-4______________________________________
TABLE 17______________________________________<< Construction Data of Embodiment 15 >>______________________________________f = 3.3.about.5.7.about.9.9FNO = 2.69.about.3.17.about.4.00Radius of Axial Refractive AbbeCurvature Distance Index Number______________________________________r1* = 28.624 d1 = 1.500 N1 = 1.77250 .nu.1 = 49.77r2 = 4.132 d2 = 2.320r3* = 9.489 d3 = 1.000 N2 = 1.84666 .nu.2 = 23.82r4* = 18.045 d4 = 15.788.about.6.277.about.0.800r5 = .infin. (Aperture Diaphragm A) d5 = 0.200r6* = 4.630 d6 = 4.630 N3 = 1.67003 .nu.3 = 47.15r7 = -3.855 d7 = 2.520 N4 = 1.84666 .nu.4 = 23.82r8* = -21.229 d8 = 1.500.about.3.295.about.6.397r9 = .infin.(P) . . . d9 = 2.850 N5 = 1.54426 .nu.5 = 69.60r10 = .infin.[Data of Aspherical Surface r1].epsilon. = 1.0000A4 = 0.45841 .times. 10.sup.-3A6 = -0.34353 .times. 10.sup.-5[Data of Aspherical Surface r3].epsilon. = 1.0000A4 = -0.79613 .times. 10.sup.-3A6 = 0.66261 .times. 10.sup.-5A8 = 0.52730 .times. 10.sup.-6A10 = 0.35286 .times. 10.sup.-7[Data of Aspherical Surface r4].epsilon. = 1.0000A4 = -0.10761 .times. 10.sup.-2A6 = -0.43454 .times. 10.sup.-5[Data of Aspherical Surface r6].epsilon. = 1.0000A4 = -0.45612 .times. 10.sup.-3A6 = 0.15775 .times. 10.sup.-3A8 = -0.46602 .times. 10.sup.-4A10 = 0.50987 .times. 10.sup.-5[Data of Aspherical Surface r8].epsilon. = 1.0000A4 = 0.23300 .times. 10.sup.-2A6 = 0.12776 .times. 10.sup.-4A8 = 0.54254 .times. 10.sup.-4A10 = -0.45904 .times. 10.sup.-5______________________________________
TABLE 18______________________________________<< Construction Data of Embodiment 16 >>______________________________________f = 3.3.about.5.7.about.9.9FNO = 2.47.about.3.02.about.4.00Radius of Axial Refractive AbbeCurvature Distance Index Number______________________________________r1* = 39.678 d1 = 1.500 N1 = 1.77250 .nu.1 = 49.77r2 = 3.134 d2 = 2.000r3* = 44.947 d3 = 1.000 N2 = 1.84666 .nu.2 = 23.82r4* = -29.207 d4 = 10.746.about.4.434-0.800r5 = .infin. (Aperture Diaphragm A) d5 = 0.200r6* = 3.927 d6 = 5.000 N3 = 1.58913 .nu.3 = 61.11r7 = -3.366 d7 = 0.540 N4 = 1.80741 .nu.4 = 31.59r8* = -32.714 d8 = 1.550r9 = -12.693 d9 = 1.000 N5 = 1.48749 .nu.5 = 70.44r10 = -6.061 d10 = 1.500.about.4.235.about.8.959r11 = .infin.(P) . . . d11 = 2.850 N6 = 1.54426 .nu.6 = 69.60r12 = .infin.[Data of Aspherical Surface r1].epsilon. = 1.0000A4 = 0.14510 .times. 10.sup.-2A6 = -0.58597 .times. 10.sup.-4[Data of Aspherical Surface r3].epsilon. = 1.0000A4 = -0.41168 .times. 10.sup.-2A6 = 0.10342 .times. 10.sup.-4A8 = 0.22397 .times. 10.sup.-4A10 = 0.54609 .times. 10.sup.-7[Data of Aspherical Surface r4].epsilon. = 1.0000A4 = -0.43766 .times. 10.sup.-2A6 = 0.30539 .times. 10.sup.-4[Data of Aspherical Surface r6].epsilon. = 1.0000A4 = -0.46556 .times. 10.sup.-3A6 = 0.19107 .times. 10.sup.-4A8 = -0.12057 .times. 10.sup.-5A10 = 0.24604 .times. 10.sup.-7[Data of Aspherical Surface r8].epsilon. = 1.0000A4 = 0.35849 .times. 10.sup.-2A6 = 0.26291 .times. 10.sup.-3A8 = -0.90595 .times. 10.sup.-5A10 = 0.63499 .times. 10.sup.-5______________________________________
TABLE 19______________________________________<< Construction Data of Embodiment 17 >>______________________________________f = 3.3.about.5.7.about.9.9FNO = 2.42.about.2.99.about.4.00Radius of Axial Refractive AbbeCurvature Distance Index Number______________________________________r1* = 30.744 d1 = 1.500 N1 = 1.77250 .nu.1 = 49.77r2 = 3.062 d2 = 2.000r3* = 194.671 d3 = 1.000 N2 = 1.84666 .nu.2 = 23.82r4* = -20.325 d4 = 10.262.about.4.257.about.0.800r5 = .infin. (Aperture Diaphragm A) d5 = 0.200r6* = 4.219 d6 = 5.000 N3 = 1.58913 .nu.3 = 61.11r7 = -3.288 d7 = 0.500 N4 = 1.80741 .nu.4 = 31.59r8 = -18.626 d8 = 0.560r9 = 19.998 d9 = 1.000 N5 = 1.48749 .nu.5 = 70.44r10* = -43.337 d10 = 1.500.about.4.102.about.8.597r11 = .infin.(P) . . . d11 = 2.850 N6 = 1.54426 .nu.6 = 69.60r12 = .infin.[Data of Aspherical Surface r1].epsilon. = 1.0000A4 = 0.13393 .times. 10.sup.-2A6 = -0.56050 .times. 10.sup.-4[Data of Aspherical Surface r3].epsilon. = 1.0000A4 = -0.41114 .times. 10.sup.-2A6 = 0.35997 .times. 10.sup.-5A8 = 0.22144 .times. 10.sup.-4A10 = 0.16562 .times. 10.sup.-6[Data of Aspherical Surface r4].epsilon. = 1.0000A4 = -0.43720 .times. 10.sup.-2A6 = 0.71031 .times. 10.sup.-5[Data of Aspherical Surface r6].epsilon. = 1.0000A4 = -0.59316 .times. 10.sup.-3A6 = -0.20585 .times. 10.sup.-4A8 = 0.68505 .times. 10.sup.-5A10 = -0.47182 .times. 10.sup.-6[Data of Aspherical Surface r10].epsilon. = 1.0000A4 = 0.36683 .times. 10.sup.-2A6 = 0.21833 .times. 10.sup.-3A8 = -0.62222 .times. 10.sup.-5A10 = 0.48613 .times. 10.sup.-5______________________________________
TABLE 20______________________________________<< Construction Data of Embodiment 18 >>______________________________________f = 3.3.about.5.7.about.9.9FNO = 2.64.about.3.14.about.4.00Radius of Axial Refractive AbbeCurvature Distance Index Number______________________________________r1* = -31.042 d1 = 1.500 N1 = 1.49140 .nu.1 = 57.82r2 = 4.012 d2 = 3.000r3* = 23.226 d3 = 1.140 N2 = 1.84666 .nu.2 = 23.82r4* = 104.309 d4 = 16.652.about.6.592.about.0.800r5 = .infin. (Aperture Diaphragm A) d5 = 0.200r6* = 3.487 d6 = 4.520 N3 = 1.49140 .nu.3 = 57.82r7 = -4.254 d7 = 1.000 N4 = 1.80518 .nu.4 = 25.43r8* = -14.493 d8 = 1.500.about.3.399.about.6.679r9 = .infin.(P) . . . d9 = 2.850 N5 = 1.54426 .nu.5 = 69.60r10 = .infin.[Data of Aspherical Surface r1].epsilon. = 1.0000A4 = 0.11057 .times. 10.sup.-2A6 = -0. 15152 .times. 10.sup.-4[Data of Aspherical Surface r3].epsilon. = 1.0000A4 = -0. 17483 .times. 10.sup.-2A6 = -0. 14633 .times. 10.sup.-4A8 = -0.29685 .times. 10.sup.-5A10 = 0.21243 .times. 10.sup.-6[Data of Aspherical Surface r4].epsilon. = 1.0000A4 = -0.18154 .times. 10.sup.-2A6 = -0.30003 .times. 10.sup.-4[Data of Aspherical Surface r6].epsilon. = 1.0000A4 = -0.74640 .times. 10.sup.-3A6 = -0.62650 .times. 10.sup.-4A8 = 0.12105 .times. 10.sup.-4A10 = -0.14787 .times. 10.sup.-5[Data of Aspherical Surface r8].epsilon. = 1.0000A4 = 0.34758 .times. 10.sup.-2A6 = 0.74640 .times. 10.sup.-4A8 = 0.71143 .times. 10.sup.-4A10 = -0.23207 .times. 10.sup.-6______________________________________
TABLE 21______________________________________<<Construction Data of Embodiment 19 >>______________________________________f = 3.3.about.5.7.about.9.9FNO = 2.45.about.3.01.about.4.00Radius of Axial Refractive AbbeCurvature Distance Index Number______________________________________r1* = -21.980 d1 = 1.500 N1 = 1.49140 .nu.1 = 57.82r2 = 2.835 d2 = 2.370r3* = -44.985 d3 = 1.000 N2 = 1.84666 .nu.2 = 23.82r4* = -17.979 d4 = 11.021.about.4.534.about.0.800r5 = .infin. (Aperture Diaphragm A) d5 = 0.200r6* = 3.743 d6 = 5.000 N3 = 1.49140 .nu.3 = 57.82r7 = -5.223 d7 = 0.500 N4 = 1.80518 .nu.4 = 25.43r8* = -44.784 d8 = 0.500r9 = 94.249 d9 = 1.000 N5 = 1.49140 .nu.5 = 57.82r10 = -9.622 d10 = 1.500.about.4.311.about.9.165r11 = .infin.(P) . . . d11 = 2.850 N6 = 1.54426 .nu.6 = 69.60r12 = .infin.[Data of Aspherical Surface r1].epsilon. = 1.0000A4 = 0.25951 .times. 10.sup.-2A6 = -0.78587 .times. 10.sup.-4[Data of Aspherical Surface r3].epsilon. = 1.0000A4 = -0.42521 .times. 10.sup.-2A6 = 0.46752 .times. 10.sup.-4A8 = -0.16262 .times. 10.sup.-4A10 = 0.43631 .times. 10.sup.-5[Data of Aspherical Surface r4].epsilon. = 1.0000A4 = -0.41396 .times. 10.sup.-2A6 = -0.17057 .times. 10.sup.-4[Data of Aspherical Surface r6].epsilon. = 1.0000A4 = -0.84234 .times. 10.sup.-3A6 = -0.42095 .times. 10.sup.-4A8 = 0.40922 .times. 10.sup.-5A10 = -0.59188 .times. 10.sup.-6[Data of Aspherical Surface r8].epsilon. = 1.0000A4 = 0.27789 .times. 10.sup.-2A6 = 0.22597 .times. 10.sup.-3A8 = -0.19228 .times. 10.sup.-4A10 = 0.55914 .times. 10.sup.-5______________________________________
TABLE 22______________________________________<< Values Corresponding to Conditions (14) to (22) >> Emb. Emb. Emb. Emb. Emb. Emb.Cond. 14 15 16 17 18 19______________________________________(14) 2.063 0.990 1.500 1.500 0.990 1.500(15) 1.257 0.742 1.130 1.075 0.785 1.154(16) 0.0525 0.0458 0.0648 0.0664 0.0738 0.0601(17) 37.29 23.33 29.52 29.52 32.39 32.39(18) 7.988 6.927 8.242 7.706 6.764 8.356(19) -0.524 -0.642 -- -- -0.612 --(20) -- -- 0.491 0.551 -- 0.559(21) -0.0121 -0.0098 -0.0079 -0.0069 -0.0179 -0.0159(22) -0.0137 -0.0035 -0.0081 -0.0088 -0.0045 -0.0083______________________________________

Number	Date	Country
H9-090963	Apr 1997	JPX
H9-090994	Apr 1997	JPX
H9-306707	Nov 1997	JPX

Number	Name	Date
4993814	Hata	Feb 1991
5283693	Kohno et al.	Feb 1994
5663836	Ogata	Sep 1997

Zoom lens system having two lens units

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