US20010021069A1

US20010021069A1 - Zoom optical system

Info

Publication number: US20010021069A1
Application number: US09/815,895
Authority: US
Inventors: Ichiro Kasai
Original assignee: Minolta Co Ltd
Current assignee: Minolta Co Ltd
Priority date: 1997-05-28
Filing date: 2001-03-23
Publication date: 2001-09-13
Anticipated expiration: 2018-05-28
Also published as: US6259569B1; US6377405B2

Abstract

An objective optical system has at least three lens units having positive, negative, and positive optical powers. A fourth lens unit can have either negative or positive optical power. The system satisfies at least one of:

(A) 0.15≦β4W/FLWobj≦0.28, where β4W represents image forming magnification of fourth lens unit at wide angle end, and FLWobj represents focal length of the system at wide angle end, and

(B) the third lens unit being a biconvex lens element which satisfies the relationship Nd3≧1.6, where Nd3 represents d-line refractive index of lens material of the biconvex lens element.

The system can also satisfy the relationship 0.038≦1/FL1≦0.068, where FL1 represents focal length of first lens unit. The third lens unit can have at least one aspherical surface which, relative to a height Y in an optional direction perpendicular to the optical axis such that 0.7Ymax<Y<Ymax, satisfies the relationship −0.07<φ3·(N′-N)·(d/dy){x(y)-xO(y)}<0 where φ3 represents refracting power of third lens unit, N represents d-line refractive index of medium of third lens unit for an aspherical surface on the object side, N′ represents d-line refractive index of the medium for an aspherical surface on the image side, x(y) represents a shape of the aspherical surface, and xO(y) represents a reference spherical surface shape of the aspherical surface.

Description

RELATED APPLICATIONS

This application is based on Japanese Patent Application No. 9-138739 and Japanese Patent Application SF-- 5 9-138559, the entire contents of each of which is incorporated herein by reference.

BACKGROUND OF THE INVENTION

1. Field of the Invention

The present invention relates to a variable magnification optical system, and more specifically relates to a compact, high-magnification zoom viewfinder optical system of the real image type which is provided separately from the photographic lens of a lens-shutter type camera or the like.

2. Description of the Related Art

In recent years, the demand has grown for cameras having greater functionality. Demand has also increased for viewfinder units, having correspondingly high variable magnification, for use in cameras which are provided with a viewfinder as a completely separate unit from the photographic system. However, in the case of zoom viewfinder systems, it becomes difficult to assure that the viewfinder will have suitable aberration characteristics over the entire zoom range in conjunction with the high variable magnification.

Examples of conventional systems utilizing a variable magnification ratio in the range of about 3 to about 4 are disclosed in Japanese Laid-Open Patent Application Nos. 2-173713, 2-173714, 2-191908, and 6-102453. A characteristic of these viewfinder systems is the provision of a positive/negative/positive objective optical system.

The conventional positive/negative/positive construction readily assures suitable aberration characteristics over the entire zoom range of a magnification ratio less than about 4, and is particularly suitable for high variable magnification in the range of about 3 to about 4. However, at a high variable magnification ratio in the range of about 5 to about 6, it is rather difficult to assure adequate aberration characteristics over the entire zoom range.

In cameras provided with a viewfinder as a separate unit completely independent of the photographic system, the viewfinder unit must satisfy the reciprocal conditions of compactness and high variable magnification. Generally, when the aspect of compactness in the overall length direction is satisfied, the aspect of high variable magnification is not satisfied; and when the aspect of high variable magnification is satisfied, the aspect of compactness is not satisfied. The length of the viewfinder objective system is important in reducing the thickness of the system in the overall length direction.

In the aforesaid conventional constructions having a variable magnification in the range of about 3 to about 4 and being provided with a positive/negative/positive objective optical system, there is a loss of compactness due to an increase in the overall length of the objective system when obtaining high variable magnification.

OBJECTS AND SUMMARY OF THE INVENTION

An object of the present invention is to provide a variable magnification optical system which satisfies at a high level the demands of reciprocity of high variable magnification and compactness, even at a variable magnification ratio of 5 or greater.

Another object of the present invention is to provide a variable magnification viewfinder which assures suitable aberration characteristics over the entire zoom range, even at a high magnification ratio of 5 or greater.

In accordance with a first aspect of the invention, these objects are attained by a zoom optical system, having a wide angle position and a telephoto position, which is provided with an objective optical system having a four lens unit construction comprising, sequentially from the object side: a first lens unit having a positive optical power, a second lens unit having a negative optical power, a third lens unit having a positive optical power, and a fourth lens unit having either a negative optical power or a positive optical power; wherein each of said second lens unit and said third lens unit is movable in a direction along the optical axis; and wherein the following conditional relationship is satisfied:

0.15≦β4W/FLWobj≦0.28

where:

β4W represents the image forming magnification of the fourth lens unit at the wide angle end, and

FLWobj represents the focal length of the objective optical system at the wide angle end.

In accordance with a second aspect of the invention, these objects are attained by a zoom optical system, having a wide angle position and a telephoto position, which is provided with an objective optical system having at least a three lens unit construction comprising, sequentially from the object side: a first lens unit having a positive optical power, a second lens unit having a negative optical power, and a third lens unit having a positive optical power; and wherein each of said second lens unit and said third lens unit is movable in a direction along the optical axis; and wherein said third lens unit comprises a single optical power element as the only optical power element in the third lens unit, said single optical power element being a biconvex lens element which satisfies the following conditional relationship:

Nd3 ≧1.6

where Nd3 represents the d-line refractive index of the lens material of the biconvex lens element of the third lens unit.

It is presently preferred that the invention also satisfy the following conditional relationship:

0.038≦1/FL1≦0.068

where: FL1 represents the focal length of the positive first lens unit.

Also, it is presently preferred that the third lens unit has at least one surface which is an aspherical surface which, relative to a height y in an optional direction perpendicular to the optical axis direction such that 0.7Ymax<y<Ymax (wherein Ymax is the maximum height of the aspherical surface in a direction perpendicular to the optical axis), satisfies the following conditional relationship:

−0.07<φ3·(N′-N)·(d/dy) {x(y)−x0(y)}<0

where:

φ3 represents refracting power of the third lens unit,

N represents d-line refractive index of the medium of said third lens unit for an aspherical surface on the object side,

N′ represents d-line refractive index of said medium for an aspherical surface on the image side,

x(y) represents a shape of the aspherical surface, and

x0(y) represents a reference spherical surface shape of the aspherical surface.

The values x(y) and x0(y) can be represented as follows:

x(y)=(r/ε)·[1−{square root}{1−ε·(y2/r2)}]+ΣAiyi (where i≧2), and

x0(y)=r#·[1−{square root}{1−(y2/r#2)}]

where:

r represents a standard radius of curvature of the aspherical surface,

ε represents a secondary curved surface parameter,

Ai represents a aspherical surface coefficient of an i degree, and

r# represents a paraxial radius of curvature of the aspherical surface (where 1/r#=(1/r)+2A2).

Also, in a presently preferred embodiment of the invention, the positive first lens element is a single lens element formed of glass having a low dispersion which satisfies the following conditional relationship:

νd>65

where νd represents d-line Abbe's number.

The zoom optical system can be a variable magnification viewfinder of the real image type which is separate from the photographic system, wherein variable magnification is accomplished by moving the second lens unit in the optical axis direction, and wherein diopter variation due to variable magnification is corrected by moving at least said third lens unit in the optical axis direction.

These and other objects, advantages and features of the present invention will become apparent from the following descriptions thereof taken in conjunction with the accompanying drawings which illustrate specific examples of the invention.

BRIEF DESCRIPTIONS OF THE DRAWINGS

FIGS. [0039] 1(a)-1(c) show the optical structure and optical path of a first embodiment of the invention, with FIG. 1(a) representing the wide angle setting, FIG. 1(b) representing the mid-range setting, and FIG. 1(c) representing the telephoto setting;
FIGS. [0040] 2(a)-2(c) show the optical structure and optical path of a second embodiment of the invention, with FIG. 2(a) representing the wide angle setting, FIG. 2(b) representing the mid-range setting, and FIG. 2(c) representing the telephoto setting;
FIGS. [0041] 3(a)-3(c) show the optical structure and optical path of a third embodiment of the invention, with FIG. 3(a) representing the wide angle setting, FIG. 3(b) representing the mid-range setting, and FIG. 3(c) representing the telephoto setting;
FIGS. [0042] 4(a)-4(c) show the optical structure and optical path of a fourth embodiment of the invention, with FIG. 4(a) representing the wide angle setting, FIG. 4(b) representing the mid-range setting, and FIG. 4(c) representing the telephoto setting;
FIGS. [0043] 5(a)-5(c) show the optical structure and optical path of a fifth embodiment of the invention, with FIG. 5(a) representing the wide angle setting, FIG. 5(b) representing the mid-range setting, and FIG. 5(c) representing the telephoto setting;
FIGS. [0044] 6(a)-6(c) show the optical structure and optical path of a sixth embodiment of the invention, with FIG. 6(a) representing the wide angle setting, FIG. 6(b) representing the mid-range setting, and FIG. 6(c) representing the telephoto setting;
FIGS. [0045] 7(a)-7(c) show the optical structure and optical path of a seventh embodiment of the invention, with FIG. 7(a) representing the wide angle setting, FIG. 7(b) representing the mid-range setting, and FIG. 7(c) representing the telephoto setting;
FIGS. [0046] 8(a)-8(c) show the optical structure and optical path of an eighth embodiment of the invention, with FIG. 8(a) representing the wide angle setting, FIG. 8(b) representing the mid-range setting, and FIG. 8(c) representing the telephoto setting;
FIGS. [0047] 9(a)-9(c) show the optical structure and optical path of a ninth embodiment of the invention, with FIG. 9(a) representing the wide angle setting, FIG. 9(b) representing the mid-range setting, and FIG. 9(c) representing the telephoto setting;
FIGS. [0048] 10(a)-10(c) show the optical structure and optical path of a tenth embodiment of the invention, with FIG. 10(a) representing the wide angle setting, FIG. 10(b) representing the mid-range setting, and FIG. 10(c) representing the telephoto setting;
FIGS. [0049] 11(a)-11(c) show the optical structure and optical path of an eleventh embodiment of the invention, with FIG. 11(a) representing the wide angle setting, FIG. 11(b) representing the mid-range setting, and FIG. 11(c) representing the telephoto setting;
FIG. 12 is a schematic illustration of an example of a variable magnification viewfinder of the positive/negative/positive type provided with two eyepiece prisms; [0050]
FIG. 13 is a schematic illustration of an example of a variable magnification viewfinder of the positive/negative/positive type having an integrated fourth lens unit and an objective prism; [0051]
FIGS. [0052] 14(a)-14(l) are aberration charts for an example of the first embodiment of FIGS. 1(a)-1(c), with FIGS. 14(a)-14(d) showing the aberration at the wide angle end W, FIGS. 14(e)-14(h) showing the aberration in the mid-band M, and FIGS. 14(i)-14(l) showing the aberration at the telephoto end T;
FIGS. [0053] 15(a)-15(l) are aberration charts for an example of the second embodiment of FIGS. 2(a)-2(c), with FIGS. 15(a)-15(d) showing the aberration at the wide angle end W, FIGS. 15(e)-15(h) showing the aberration in the mid-band M, and FIGS. 15(i)-15(l) showing the aberration at the telephoto end T;
FIGS. [0054] 16(a)-16(l) are aberration charts for an example of the third embodiment of FIGS. 3(a)-3(c), with FIGS. 16(a)-16(d) showing the aberration at the wide angle end W. FIGS. 16(e)-16(h) showing the aberration in the mid-band M, and FIGS. 16(i)-16(l) showing the aberration at the telephoto end T;
FIGS. [0055] 17(a)-17(i) are aberration charts for an example of the fourth embodiment of FIGS. 4(a)-4(c), with FIGS. 17(a)-17(d) showing the aberration at the wide angle end W, FIGS. 17(e)-17(h) showing the aberration in the mid-band M, and FIGS. 17(i)-17(l) showing the aberration at the telephoto end T;
FIGS. [0056] 18(a)-18(l) are aberration charts for an example of the fifth embodiment of FIGS. 5(a)-5(c), with FIGS. 18(a)-18(d) showing the aberration at the wide angle end W, FIGS. 18(e)-18(h) showing the aberration in the mid-band M, and FIGS. 18(i)-18(l) showing the aberration at the telephoto end T;
FIGS. [0057] 19(a)-19(l) are aberration charts for an example of the sixth embodiment of FIGS. 6(a)-6(c), with FIGS. 19(a)-19(d) showing the aberration at the wide angle end W, FIGS. 19(e)-19(h) showing the aberration in the mid-band M, and FIGS. 19(i)-19(l) showing the aberration at the telephoto end T;
FIGS. [0058] 20(a)-20(l) are aberration charts for an example of the seventh embodiment of FIGS. 7(a)-7(c), with FIGS. 20(a)-20(d) showing the aberration at the wide angle end W, FIGS. 20(e)-20(h) showing the aberration in the mid-band M, and FIGS. 20(i)-20(l) showing the aberration at the telephoto end T;
FIGS. [0059] 21(a)-21(l) are aberration charts for an example of the eighth embodiment of FIGS. 8(a)-8(c), with FIGS. 21(a)-21(d) showing the aberration at the wide angle end W, FIGS. 21(e)-21(h) showing the aberration in the mid-band M, and FIGS. 21(i)-21(l) showing the aberration at the telephoto end T;
FIGS. [0060] 22(a)-22(l) are aberration charts for an example of the ninth embodiment of FIGS. 9(a)-9(c), with
FIGS. [0061] 22(a)-22(d) showing the aberration at the wide angle end W, FIGS. 22(e)-22(h) showing the aberration in the mid-band M, and FIGS. 22(i)-22(l) showing the aberration at the telephoto end T;
FIGS. [0062] 23(a)-23(l) are aberration charts for an example of the tenth embodiment of FIGS. 10(a)-10(c), with FIGS. 23(a)-23(d) showing the aberration at the wide angle end W, FIGS. 23(e)-23(h) showing the aberration in the mid-band M, and FIGS. 23(i)-23(l) showing the aberration at the telephoto end T; and
FIGS. [0063] 24(a)-24(l) are aberration charts for an example of the eleventh embodiment of FIGS. 11(a)-11(c), with FIGS. 24(a)-24(d) showing the aberration at the wide angle end W, FIGS. 24(e)-24(h) showing the aberration in the mid-band M, and FIGS. 24(i)-24(l) showing the aberration at the telephoto end T.
In the following description, like parts are designated by like reference numbers throughout the several drawings. [0064]

DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS

The preferred embodiments of a variable magnification viewfinder in accordance with the invention are described hereinafter with reference to the accompanying drawings. In each of FIGS. [0065] 1(a)-11(c), which illustrate the optical construction and optical paths of the first through the eleventh embodiments, the symbol Si (i=1,2,3 . . . ) represents the “i”th surface, counting from the object side; the symbol Gi (i=1,2,3 . . . ) represents the “i”th optical element, counting from the object side; and the surface Si with an appended asterisk symbol (*) represents a surface of aspherical construction.
The first through the seventh embodiments are zoom viewfinders of the real image type which are separate from the photographic system, with each having an objective optical system of four lens unit construction comprising, sequentially from the object side: a first lens unit Gr[0066] 1 having a positive refracting power, a second lens unit Cr2 having a negative refracting power, a third lens unit Gr3 having a positive refracting power, and a fourth lens unit Gr4 having either a negative or a positive refracting power. Zooming is accomplished by moving the second lens unit Gr2 in the optical axis direction, and diopter variation due to zooming is corrected by moving at least the third lens unit Gr3 in the optical axis direction.
Referring now to FIGS. [0067] 1(a)-1(c), the objective optical system of the first embodiment is a four lens unit zoom system comprising four zoom lens units in the order of positive/negative/positive/negative, taken sequentially from the object side. The first lens unit Gr1 comprises a single biconvex positive lens element G1. The second lens unit Gr2 comprises a biconcave negative lens element G2, an optical shutter panel A, and a negative meniscus lens element G3 which has a concave surface S5 on its object side. The third lens unit Gr3 comprises a single biconvex positive lens element G4. The fourth lens unit Gr4 comprises a single objective prism G5 which is negative with a concave surface S9 on its object side. The eyepiece optical system comprises an eyepiece prism G6 having a convex surface S11 on its object side, and a biconvex positive eyepiece lens element G7.
Referring now to FIGS. [0068] 2(a)-2(c), the objective optical system of the second embodiment is a four lens unit zoom system comprising four zoom lens units in the order of positive/negative/positive/negative, taken sequentially from the object side. A first lens unit Gr1 comprises a single biconvex positive lens element G1. A second lens unit Gr2 comprises two biconcave negative lens elements G2 and G3, and a light shutter panel A interposed therebetween. A third lens unit Gr3 comprises a single biconvex positive lens element G4. A fourth lens unit Gr4 comprises a single biconcave negative lens element GS. The eyepiece optical system comprises an eyepiece prism G6 having a convex surface S11 on its object side, and a biconvex positive eyepiece lens element G7.
Referring now to FIGS. [0069] 3(a)-3(c), the objective optical system of the third embodiment is a four lens unit zoom system comprising four zoom lens units in the order of positive/negative/positive/negative, taken sequentially from the object side. A first lens unit Gr1 comprises a single biconvex positive lens element G1. A second lens unit Gr2 comprises a negative meniscus lens element G2 having a concave surface S4 on its image side, a biconcave negative lens element G3, and a light shutter panel A interposed therebetween. A third lens unit Gr3 comprises a single biconvex positive lens element G4. A fourth lens unit Gr4 comprises a single objective prism G5 having a negative optical power with a concave surface S9 on its object side. The eyepiece optical system comprises an eyepiece prism G6 having a convex surface Sil on its object side, and a biconvex positive eyepiece lens element G7.
Referring now to FIGS. [0070] 4(a)-4(c), the objective optical system of the fourth embodiment is a four lens unit zoom system comprising four zoom lens units in the order of positive/negative/positive/negative, sequentially from the object side. A first lens unit Gr1 comprises a single biconvex positive lens element GC. A second lens unit Gr2 comprises two biconcave negative lens elements G2 and G3, and a light shutter panel A interposed therebetween. A third lens unit Gr3 comprises a single biconvex positive lens element G4. A fourth lens unit Gr4 comprises a single negative meniscus lens element GShaving a concave surface S9 on its object side. The eyepiece optical system comprises an eyepiece prism G6 having a convex surface S11 on its object side, and a biconvex positive eyepiece lens element G7.
Referring now to FIGS. [0071] 5(a)-5(c), the objective optical system of the fifth embodiment is a four lens unit zoom system comprising four zoom lens units in the order of positive/negative/positive/negative, taken sequentially from the object side. A first lens unit Grl comprises a single biconvex positive lens element GC. A second lens unit Gr2 comprises a biconcave negative lens element G2, a light shutter panel A, and a negative meniscus lens element G3 having a concave surface S5 on its object side. A third lens unit Gr3 comprises a single biconvex positive lens element G4. A fourth lens unit Gr4 comprises a single objective prism G5 having a negative optical power with a concave surface S9 on its object side. The eyepiece optical system comprises an eyepiece prism G6 having a convex surface S11 on its object side, and a biconvex positive eyepiece lens element G7.
Referring now to FIGS. [0072] 6(a)-6(c), the objective optical system of the sixth embodiment is a four lens unit zoom system comprising four zoom lens units in the order of positive/negative/positive/negative, taken sequentially from the object side. A first lens unit Gr1 comprises a single biconvex positive lens element G1. A second lens unit Gr2 comprises a negative meniscus lens element G2 having a concave surface S4 on its image side, a light shutter panel A, and a biconcave negative lens element G3. A third lens unit Gr3 comprises a single biconvex positive lens element G4. A fourth lens unit Gr4 comprises a single objective prism G5 having a negative optical power and having a concave surface S9 on its object side. The eyepiece optical system comprises an eyepiece prism G6 having a convex surface S11 on its object side, an eyepiece prism G7 having a concave surface S14 on its pupil side, and a biconvex positive eyepiece lens element G8.
Referring now to FIGS. [0073] 7(a)-7(c), the objective optical system of the seventh embodiment is a four lens unit zoom system comprising four zoom lens units in the order of the positive/negative/positive/negative, taken sequentially from the object side. A first lens unit Gr1 comprises a single positive meniscus lens element G1 having a convex surface S1 on its object side. A second lens unit Gr2 comprises a negative meniscus lens element G2 having a concave surface S4 on its image side, a light shutter panel A, and a biconcave negative lens element G3. A third lens unit Gr3 comprises a single biconvex positive lens element G4. A fourth lens unit Gr4 comprises a single objective prism G5 having a positive meniscus and a convex surface S10 on its image side. The eyepiece optical system comprises an eyepiece prism G6 having only planar surfaces, eyepiece prism G7 having a concave surface S14 on its pupil side, and a biconvex positive eyepiece lens element G8.
The eighth through eleventh embodiments are zoom viewfinder optical systems of a real image type which are separate from the photographic system and which are provided with objective optical systems that incorporate sequentially from the object side at least three lens units comprising a first lens unit Gr[0074] 1 having a positive refracting power, a second lens unit Gr2 having a negative refracting power, and a third lens unit Gr3 having a positive refracting power. Zooming is accomplished by moving the second lens unit in the optical axis direction, and diopter variation due to zooming is corrected by moving at least the third lens unit Gr3 in the optical axis direction.
Referring now to FIGS. [0075] 8(a)-8(c), the objective optical system of the eighth embodiment is a three lens unit zoom system comprising three zoom lens units in the order of positive/negative/positive, taken sequentially from the object side. A first lens unit Gr1 comprises a single biconvex positive lens element G1. A second lens unit Gr2 comprises two biconcave negative lens elements G2 and G3, and a light shutter panel A interposed therebetween. A third lens unit Gr3 comprises a single biconvex positive lens element G4. The eyepiece optical system comprises an eyepiece prism G5 having a convex surface S9 on its object side, and a biconvex positive eyepiece lens element G6.
Referring now to FIGS. [0076] 9(a)-9(c), the objective optical system of the ninth embodiment is a four lens unit zoom system comprising four zoom lens units in the order of positive/negative/positive/negative, taken sequentially from the object side. A first lens unit Gr1 comprises a single biconvex positive lens element G1. A second lens unit Gr2 comprises two biconcave negative lens elements G2 and G3, and a light shutter panel A interposed therebetween. A third lens unit Gr3 comprises a single biconvex positive lens element G4. A fourth lens unit Gr4 comprises a single biconcave negative lens element G5. The eyepiece optical system comprises an eyepiece prism G6 having a convex surface S11 on its object side, and a biconvex positive eyepiece lens element G7.
Referring now to FIGS. [0077] 10(a)-10(c), the objective optical system of the tenth embodiment is a four lens unit zoom system comprising four zoom lens units in the order of positive/negative/positive/negative, taken sequentially from the object side. A first lens unit Gr1 comprises a single biconvex positive lens element G1. A second lens unit Gr2 comprises a biconcave negative lens element G2, a light shutter panel A, and a negative meniscus lens element G3 having a concave surface S5 on its object side. A third lens unit Gr3 comprises a single biconvex positive lens element G4. A fourth lens unit Gr4 comprises a single objective prism G5 having a negative optical power and having a concave surface S9 on its object side. The eyepiece optical system comprises an eyepiece prism G6 having a convex surface S11 on its object side, and a biconvex positive eyepiece lens element G7.
Referring now to FIGS. [0078] 11(a)-11(c), the objective optical system of the eleventh embodiment is a four lens unit zoom system comprising four zoom lens units in the order of positive/negative/positive/negative, taken sequentially from the object side. A first lens unit Gr1 comprises a single positive meniscus lens element G1 having a convex surface S1 on its object side. A second lens unit Gr2 comprises a negative meniscus lens element G2 having a concave surface S4 on its image side, a light shutter panel A, and a biconcave negative lens element G3. A third lens unit Gr3 comprises a single biconvex positive lens element G4. A fourth lens unit Gr4 comprises a single objective prism G5 having a positive meniscus and a convex surface S10 on its image side. The eyepiece optical system comprises an eyepiece prism G6 having only planar surfaces, an eyepiece prism G7 having a concave surface S14 on its pupil side, and a biconvex positive eyepiece lens element G8.
The constructions of the first through seventh embodiments satisfy the following conditional relationship: [0079]
0.15≦βW/FLWobj≦0.28 (1)
where: [0080]
β4W represents the image forming magnification of the fourth lens unit at the wide angle end, and [0081]
FLWobj represents the focal length of the objective optical system at the wide angle end. [0082]
The positive/negative/positive objective construction is known conventionally as a compact viewfinder objective construction. When a fourth lens unit Gr[0083] 4 having strong enlargement magnification is disposed posteriorly to the aforesaid positive/negative/positive construction, the overall length of the viewfinder objective system is reduced because the objective system completely becomes a telephoto type system. This point is utilized in the first through the seventh embodiments. That is, in the positive/negative/positive/(negative or positive) objective construction, the overall length of the viewfinder objective system is reduced without loss of compactness even at variable magnification ratios of 5 or greater due to the strong enlargement magnification of the image forming magnification of the fourth lens unit Gr4.
Conditional relationship (1) expresses the conditional range that assures suitable aberration characteristics throughout the entire zoom range as the ratio of the image forming magnification of the fourth lens unit Gr[0084] 4 to the focal length of the objective system at the wide angle end W. In contrast, when the ratio β4W:FLWobj is less than the lower limit of conditional relationship (1), the previously mentioned effectiveness is not realized and compactness is lost. Similarly, when the upper limit of conditional relationship (1) is exceeded, image plane characteristics and astigmatic difference are severely adversely affected, particularly throughout the entire the zoom range, making it difficult to assure suitable aberration correction.
The constructions of the first through the seventh embodiments further satisfy the following conditional relationship: [0085]
0.038≦1/ FL1≦0.068 (2)
where FL[0086] 1 represents the focal length of the positive first lens unit Gr1.
In the objective constructions of the first through the seventh embodiments, the refractive power of the positive first lens unit Gr[0087] 1 is significantly influenced by the amount of movement in variable magnification of the second lens unit Gr2 which receives the main magnification. Therefore, it is important to minimize the amount of movement of the various lens elements in variable magnification in order to reduce the overall length of the objective optical system. Conditional relationship (2) expresses a suitable setting range of the refracting power of the first lens unit Gr1 to enable both a reduction of the amount of movement of the second lens unit Cr2 as a necessary condition to reduce the overall length of the objective optical system, and an assurance of suitable aberration characteristics over the entire zoom range. If conditional relationship (2) is satisfied, a compact viewfinder is realized which has a short overall objective optical system and assures suitable aberration characteristics over the entire zoom range. By contrast, when the ratio 1/FL 1 is less than the lower limit of conditional relationship (2), the second lens unit Gr2 requires a large amount of movement for variable magnification, thereby increasing the overall length of the objective optical system. Similarly, when the upper limit of conditional relationship (2) is exceeded, there is a marked increase in aberration variation due to variable magnification, and sensitivity to positioning error in the optical axis direction also increases relative to the diopter of the first lens unit Gr1, thus making manufacture of the zoom viewfinder system difficult.
In the first through the eleventh embodiments, when the maximum effective diameter of an aspherical surface (i.e., the maximum height in a direction perpendicular to the optical axis) is designated Ymax, the third lens unit Gr[0088] 3 must have at least one surface which is an aspherical surface satisfying conditional relationship (3) below relative to a height y in an optional direction perpendicular to the optical axis direction such that 0.7Ymax<y<Ymax:
−0.07<φ3·(N′-N) (d/dy){x(y)−x0(y)}<0 (3)
where: [0089]
φ3 represents the refracting power of the third lens unit Gr[0090] 3,
N represents the d-line refractive index of the medium of the aspherical surface on the object side, [0091]
N′ represents the d-line refractive index of the medium of the aspherical surface on the image side, [0092]
x(y) represents the shape of the aspherical surface, and [0093]
x0(y) represents a reference spherical surface shape of the aspherical surface. [0094]
The values x(y) and x0(y) can be expressed by equations (A) and (B) below [0095]
x(y)=(r/e)·[1−{square root}{1−ε·(y2/r2)}]+ΣAiyi (where i>2) (A) x0(y)=r#·[1−{square root}{1−(y2/r#2 )}] (B)
where: [0096]
r represents the standard radius of curvature of the aspherical surface, [0097]
ε represents the secondary curved surface parameter, [0098]
Ai represents the aspherical surface coefficient of the i degree, and [0099]
r# represents the paraxial radius of curvature of the aspherical surface (where 1/r# =(1/r)+2·A2). [0100]
In the constructions of the first through the seventh embodiments, the third lens unit Gr[0101] 3 generates a large amount of aberration because the positive third lens unit Gr3 has strong refracting power. Use of at least a single aspherical surface in the third lens unit Gr3 is effective in adequately correcting the aberration. The third conditional relationship (3) expresses the range of the shape of the aspherical surface to adequately realize the aforesaid effect. When conditional relationship (3) is satisfied, aberration (particularly, image plane characteristics and spherical surface aberration) is suitably corrected over the entire zoom range. In contrast, when the value in conditional relationship (3) is less than the lower limit of conditional relationship (3), aberration is over compensation of aberration, which adversely affects image plane characteristics in particular. Similarly, when the upper limit of conditional relationship (3) is exceeded, the effect of the aspherical surface works counter to the correction of aberration, thereby increasing said aberration.
With regard to the previously described types of objective constructions, desirable constructions effectively achieving compactness while providing suitable aberration correction are described hereinafter. The preferred constructions [0102] 1 - 3 are markedly effective in correcting aberration. Preferred construction 4 cuts harmful light, and is effective in assuring an excellent Mie scattering. Preferred construction 5 is effective in achieving compactness, particularly in the diameter direction.

Preferred Construction

1

In the second through the eleventh embodiments, the positive third lens unit Gr[0103] 3 includes a positive biconvex lens element which satisfies conditional relationship (4) below.
Nd3≧1.6 (4)
where [0104] Nd 3 represents the d-line refractive index of the glass of the positive biconvex lens element.
In this type objective construction, Petzval's sum is adversely affected because the third lens unit Gr[0105] 3 has a strong positive refracting power, thereby causing deterioration of the image plane characteristics throughout the zoom region. When a single biconvex lens element, formed of glass having a high refractive index satisfying conditional relationship (4), is used in the third lens unit Gr3 as in the second through the seventh embodiments, the Petzval's sum is improved throughout the entire viewfinder system, and image plane characteristics are particularly excellently corrected over the entire zoom range.

Preferred Construction

2

In the sixth embodiment, the positive first lens unit Gr[0106] 1 is a single lens element formed of glass having a low dispersion which satisfies conditional relationship (5) below:
νd>65 (5)
where νd represents the d-line Abbe's number. [0107]
The objective optical system forms a real image connected to the first lens unit Gr[0108] 1 on the objective image plane at the total image forming magnification of the second lens unit Gr2 through the fourth lens unit Gr4. Variable magnification is accomplished by changing the total image forming magnification of the second lens unit Gr2 through the fourth lens unit Gr4. Since color aberration of the image connected to the first lens unit Gr1 (i.e., color aberration generated by the first lens unit Gr1) is also enlarged by variable magnification, a difference in color quality is generated in correspondence with the magnification. This difference in quality is one element of the color aberration difference caused by variable magnification. In a zoom viewfinder, it is difficult to adequately correct color aberration over the entire zoom range due to the increase in the difference in the quality of the color aberration between the wide angle end W and the telephoto end T.
If the color aberration of the first lens unit Gr[0109] 1 is large, there will also be a correspondingly large color quality difference; and if the amount of color aberration of the first lens unit Gr1 is greatly reduced, there will be a corresponding reduction in the color aberration quality difference in variable magnification. In the sixth embodiment, the positive first lens unit Gr1 is a single lens element formed of glass with low dispersion which satisfies conditional relationship (5) to reduce the amount of color aberration generated by the first lens unit Gr1. Color aberration quality difference produced by variable magnification can be adequately corrected by suppressing color aberration generated by the first lens unit Gr1. Similar effectiveness is obtained when the positive first lens unit Gr1 is constructed as two lenses, i.e., a positive lens and a negative lens for color aberration correction, as when said first lens unit Gr1 comprises a positive lens element and a negative lens element, which is formed of a glass having a higher dispersion than said positive lens element.

Preferred Construction

3

In the first through the seventh embodiments, the second lens unit Gr[0110] 2 is constructed as a negative two-ply lens element having mutually facing biconcave surfaces with strong refracting power. A second lens unit Gr2, which moves for variable magnification, has a strong negative refracting power to reduce the necessary amount of movement. Therefore, a construction wherein the second lens unit Gr2 has two negative lens elements of mutually facing surfaces having strong negative refracting power, is effective in assuring excellent aberration characteristics. This construction of the second lens unit Gr2 assures excellent aberration characteristics (particularly distortion and coma) over the entire zoom range. This construction is particularly effective at high magnification ratios.

Preferred Construction

4

In the first through eleventh embodiments, a light flux regulating member (i.e., light shutter panel A) for cutting harmful light is interposed between two negative lens elements which comprise the second lens unit Gr[0111] 2. It is desirable to have adequate regulation of light flux entering the pupil over the entire zoom range to assure stable Mie scattering in the viewfinder. To obtain excellent regulating of light flux entering the pupil, it is important to position the flux regulating member which blocks harmful light at the objective diaphragm conjugate to the viewfinder pupil.
In this type of objective construction, it is important to regulate the size of the effective diameters of the first lens unit Gr[0112] 1 and the third lens unit Gr3 to attain a balance therebetween via a condenser surface positioned near the objective image plane. When the refracting power of the condenser surface is excessively positive, the effective diameter of the third lens unit Gr3 is reduced, but the effective diameter of the first lens unit Gr1 is increased. When the refracting power of the condenser surface is excessively weak, the effective diameter of the third lens unit Gr3 is increased. When the refracting power of the condenser surface is adjusted to attain a balance between the effective diameters of the first lens unit Gr1 and the third lens unit Gr3, the position of the objective diaphragm conjugate to the viewfinder pupil is brought nearer to the second lens unit Gr2. When the flux regulating member blocking harmful light is positioned within the second lens unit Gr2, excellent viewfinder Mie scattering is assured due to the excellent regulation of the light flux entering the pupil over the entire zoom range. When the second lens unit Gr2 is constructed as two negative lens elements, harmful light can be effectively blocked by positioning the flux regulating member between the two negative lens elements.

Preferred Construction

5

The first, fourth, and fifth embodiments relate to the most posterior surface S[0113] 2 of the positive first lens unit Gr1 and the most anterior surface S3 of the negative lens unit Gr2, such that when the maximum effective diameter of the most posterior surface S2 of the first lens unit Gr1 (i.e., the maximum height in a direction perpendicular to the optical axis) is designated Ymax, the conditional relationship (6) below is satisfied at the wide angle end W relative to the height Y in an optional direction perpendicular to the optical axis, and wherein 0.7 Ymax<Y<Ymax:
0<[C01/{1+{square root}(1−ε1·C012·Y2)]−C02/{1+{square root}(1−ε2·C022·Y2)}]· Y 2 +Σ{( A1i−A2i)·Yi]+t<0.8 (where i=2−16) (6)
where: [0114]
C01 represents a standard curvature of the most posterior surface S[0115] 2 of the first lens unit Gr1,
C02 represents the standard curvature of the most anterior surface S[0116] 3 of the second lens unit Gr2,
ε1 represents a secondary surfaced surface parameter of the most posterior surface S[0117] 2 of the first lens unit Gr1,
ε2 represents a secondary surfaced surface parameter of the most anterior surface S[0118] 3 of the second lens unit Gr2,
t represents the axial distance between the most posterior surface S[0119] 2 of the first lens unit Gr1 and the most anterior surface S3 of the second lens unit Gr2 at the wide angle end W,
A1i represents the aspherical surface coefficient of the i degree of the most posterior surface S[0120] 2 of the first lens unit Gr1, and
A2i represents the aspherical surface coefficient of the i degree of the most anterior surface S[0121] 3 of the second lens unit Gr2.
The shape of the aforesaid surfaces S[0122] 2 and S3 is a shape of rotational symmetry about the optical axis, and is stipulated by equations C, D, and E below. Equations C, D, and E are substantially similar to the previously mentioned equation A which expresses the shape x(y) of the aspherical surface.
F(X,Y,Z)=X−f(Y,Z)=0 (C)
f(Y,Z)=C0φ2/[1+(1−εC02φ2)½)+ΣAiφi (D)
(where i=2˜16) [0123]
φ2=Y2+Z2 (E)
where: [0124]
X,Y,Z represent the X,Y,Z coordinates in the local coordinate system of each plane, [0125]
C0 represents the apex curvature (=1/r), [0126]
ε represents a secondary curved surface parameter, and [0127]
A2-A16 represent aspherical surface coefficients from the second through the sixteenth. [0128]
In an objective construction having a positive first lens unit Gr[0129] 1, the light flux tends to be strong between the second lens unit Gr2 and the first lens unit Gr1, particularly at the wide angle end W because the second lens unit Gr2 has a strong negative refracting power. The effective diameter of the first lens unit Gr1 becomes larger if the light flux tends to be strong and the spacing is increased between the most anterior surface of the second lens unit Gr2 and the most posterior surface of the first lens unit Gr1. This tendency becomes even more pronounced if the corresponding angle of field of the viewfinder is wide angle. Since the first lens unit Gr1 is a positive lens element, when the effective diameter of the first lens unit Gr1 increases, the center thickness increases to assure an effective diameter, thereby increasing the overall length of the objective system.
In order to suppress the reduction of the effective diameter of the first lens unit Gr[0130] 1, the distance between the most posterior surface of the first lens unit Gr1 and the most anterior surface of the second lens unit Gr2 may be narrowed as much as possible at the wide angle end W at which the effective diameter is largest. Conditional relationship (6) expresses this feature as a mathematical expression. When the most posterior surface of the first lens unit Gr1 and the most anterior surface of the second lens unit Gr2 satisfy conditional relationship (6), the reduction of the effective diameter of first lens unit Gr1 can be suppressed, and is particularly effective at is wide field angles. In contrast, when the upper limit of conditional relationship (6) is exceeded, there is a marked increase in the diameter of the first lens unit particularly in the wide field angle of the viewfinder.

Examples of Viewfinder Construction

Examples of the construction of the zoom viewfinder of the present invention are described hereinafter. With reference to FIG. 12, the objective optical system of this zoom viewfinder is a four lens unit zoom system comprising four zoom lens units of the positive/negative/positive/negative type. A first lens unit Gr[0131] 1 comprises a single biconvex positive lens element GC. A second lens unit Gr2 comprises two biconcave negative lens elements G2 and G3 with a light shutter panel A interposed therebetween. A third lens unit Gr3 comprises a single biconvex positive lens element G4. A fourth lens unit Gr4 comprises a single biconcave negative lens element G5. The eyepiece optical system comprises a first eyepiece prism PEI having a roof reflective surface SD, a second eyepiece prism PE2 positioned at the entrance surface a slight distance S from the exit surface of said first eyepiece prism PE1, and a biconvex positive eyepiece lens element LE. A plane mirror M1 is disposed between said objective optical system and the eyepiece optical system. The character I refers to the objective image plane, the character OA refers to the optical axis of the objective optical system, and the character EP refers to the pupil.
FIG. 13 shows an example of viewfinder construction with an integrated fourth lens unit Gr[0132] 4 and objective prism. The objective optical system used in this zoom viewfinder is a four lens unit zoom system comprising four zoom lens units in the order, sequential from the object side, of positive/negative/positive/negative. A first lens unit Gr1 comprises a single biconvex positive lens element GC. A second lens unit Gr2 comprises a negative meniscus lens element G2 with a concave surface on its image (I) side, a light shutter panel A, and a biconcave negative lens element G3. A third lens unit Gr3 comprises a single biconvex positive lens element G4. A fourth lens unit Gr4 comprises a negative meniscus objective prism PO having a concave surface on its object side, having a roof reflective surface SD. The eyepiece optical system comprises an eyepiece prism PE formed only of planar surfaces, and a biconvex positive eyepiece lens element LE. The character I refers to the objective image plane, the character OA refers to the optical axis of the objective optical system, and the character EP refers to the pupil.
The construction of the zoom viewfinder of the present invention is described hereinafter by way of specific examples with reference to construction data and aberration diagrams and the like. The first through the eleventh embodiments described above correspond to examples 1-11 in the tables, respectively; and FIGS. [0133] 1-11, illustrating these embodiments 1-11, show the optical systems and optical paths of the corresponding examples 1-11.
Tables 1, 5, 9, 13, 17, 21, 25, 29, 33, 37 and 41 show the construction data for examples 1-11, respectively. The construction data include identification of the system, lens unit (optical element), and lens element; the Si (i=1,2,3 . . . ) surface, counting from the object side; the radius of curvature of this surface Si; the axial distance of the “i”th surface, counting from the object side; the d-line refractive index (Nd) of the “i”th optical element, counting from the object side; and the Abbe Number (νd) of the “i”th element. A surface Si marked with an appended asterisk (*) symbol indicates that the surface is an aspherical surface, and the shape of the aspherical surface is defined by the aforementioned relationship (A). [0134]
Tables 2, 6, 10, 14, 18, 22, 26, 30, 34, 38 and 42 show data that change during zooming in the first through the eleventh examples. The symbol Γ represents the viewfinder magnification; ω(°) represents the half angle; DIOPT represents the diopter; and each of D[0135] 1, D2, and D3 represents the on-axis spacing that changes during zooming. Numerical values are shown for the conditional relationships which are common to the first through the eleventh examples.
Tables 3, 7, 11, 15, 19, 23, 27, 31, 35, 39 and 41 show aspherical surface data in the first through the eleventh examples. [0136]

Tables 4, 8, 12, 16, 20, 24, 28, 32, 36, 40 and 44 show conditions values in the first through the eleventh examples.

TABLE 1


Construction Data for Example 1

				Radius of
System	Unit	Element	Surface	Curvature	Axial Distance	Nd	νd

objective	Gr1	G1	S1	14.905
lens					2.3	1.4914	57.82
system			S2*	−24.764
					D1	1	—
	Gr2	G2	S3	−25
					0.9	1.58323	30.48
			S4*	5.461
					1.7	1	—
	Gr2	G3	S5	−7.593
					0.9	1.58323	30.48
			S6	−18.463
					D2	1	—
	Gr3	G4	S7*	7.252
					4	1.5258	52.1
			S8*	−6.277
					D3	1	—
	Gr4	G5	S9	−15.822
			S10	∞	13.642	1.4914	57.82
					3	1	—
eyepiece		G6	S11		20
lens					24.575	1.4914	57.82
system			S12	∞
					0.5	1	—
		G7	S13*	21.005
			S14	−15.01	2	1.4914	57.82
					13	1	—
		pupil	S15	∞

[0138]

TABLE 2

Data that change during zooming for Example 1

Γ Wide-Angle Limit Middle [M] Telephoto Limit [T]

0.37 0.78 1.66

ω(°) 27.6 13.5 6.3

DIOPT −0.5 −0.5 −0.6

axial D1 0.6 4.258 9.699

distance D2 9 3.674 0.201

D3 0.8 2.468 0.5

TABLE 3


Aspherical Data for Example 1

Sur-
face	1/r	ε	A4	A6	A8

S2
	1/−24.764	1	1.339 × 10⁻⁴	−9.819 × 10⁻⁷	1.199 × 10⁻⁸
S4	1/ 5.461	1	−1.335 × 10⁻³	−8.331 × 10⁻⁶	−7.748 × 10⁻⁹
S7	1/ 7.252	1	−9.535 × 10⁻⁴	−1.034 × 10⁻⁵	−1.296 × 10⁻⁷
S8	1/ −6.277	1	8.351 × 10⁻⁴	−1.088 × 10⁻⁵	7.260 × 10⁻⁸
S13	1/ 21.005	−2	0	0	0

[0140]

TABLE 4

Condition Values of Example 1

Condition (1) Condition (2)

β 4W/FLWobj = 0.208 1/FL1 = 0.052

Condition (3)

ymax φ 3 · (N′ − N) · (d/dy){x(y) − x0(y)}

Surface (mm) y = 0.7 ymax y = ymax

S7 4.9 −1.40 × 10⁻² −5.15 × 10⁻²

S8 5.1 −8.79 × 10⁻³ −2.00 × 10⁻²

Condition (6)

[C01/{1 + {square root} (1 − ε 1 · C01²· Y²)} −

C02/{1 + {square root} (1 − ε 2 · C02²· Y²)}] · Y²+

Ymax Σ {(A1i − A2i) · Yⁱ} + t

(mm) Y = 0.7 Ymax Y = Ymax

4.0 0.594 0.572

TABLE 5


Construction Data for Example 1

				Radius of
System	Unit	Element	Surface	Curvature	Axial Distance	Nd	νd

objective	Gr1	G1	S1	17.336
lens					2.5	1.4914	57.82
system			S2*	−25.081
					D1	1	—
	Gr2	G2	S3	−135.855
					1	1.58323	30.48
			S4*	7.912
					1.7	1	—
		G3	S5	−7.39
					1	1.58323	30.48
			S6	−137.152
					D2	1	—
	Gr3	G4	S7*	9.956
					3.5	1.7545	52.57
			S8*	−9.036
					D3	1	—
	Gr4	G5	S9	−24.498
			S10	70.613	1	1.62017	24
					10.874	1	—
eyepiece		G6	S11		20
lens					24.575	1.4914	57.82
system			S12	∞
					0.5	1	—
		G7	S13*	21.005
			S14	−15.01	2	1.4914	57.82
					13	1	—
		pupil	S15	∞

[0142]

TABLE 6

Data that change during zooming for Example 2

Wide-Angle Limit Middle [M] Telephoto Limit [T]

Γ 0.37 0.78 1.66

ω(°) 27.6 13.5 6.3

DIOPT −0.5 −0.5 −0.5

axial D1 0.8 4.936 10.147

distance D2 10 4.552 0.476

D3 0.8 2.112 0.977

TABLE 7


Aspherical Data for Example 2

Sur-
face	1/r	ε	A4	A6	A8

S2
	1/−25.081	1	7.330 × 10⁻⁵	−1.173 × 10⁻⁷	3.754 × 10⁻⁹
S4	1/ 7.912	1	−3.750 × 10⁻⁴	−5.183 × 10⁻⁶	−7.768 × 10⁻⁹
S7	1/ 9.956	1	−5.325 × 10⁻⁴	−1.425 × 10⁻⁶	−1.859 × 10⁻⁸
S8	1/ −9.036	1	2.849 × 10⁻⁴	−2.267 × 10⁻⁶	1.559 × 10⁻⁸
S13	1/ 21.005	−2	0	0	0

[0144]

TABLE 8

Condition Values of Example 2

Condition (1) Condition (2)

β 4W/FLWobj = 0.21 1/FL1 = 0.04718

Condition (3)

ymax φ 3 · (N′ − N) · (d/dy){x(y) − x0(y)}

Surface (mm) y = 0.7 ymax y = ymax

S7 4.7 −8.17 × 10⁻³ −2.33 × 10⁻²

S8 4.9 −4.49 × 10⁻³ −1.16 × 10⁻²

Condition (6)

[C01/{1 + {square root} (1 − ε 1 · C01²· Y²)} −

C02/{1 + {square root} (1 − ε 2 · C02²· Y²)}] · Y²+

Ymax Σ {(A1i − A2i) · Yⁱ} + t

(mm) Y = 0.7 Ymax Y = Ymax

5.1 0.997 1.179

TABLE 9


Construction Data for Example 3

				Radius of
System	Unit	Element	Surface	Curvature	Axial Distance	Nd	νd

objective	Gr1	G1	S1	13.656
lens					2.4	1.4914	57.82
system			S2*	−43.245
					D1	1	—
	Gr2	G2	S3	49.575
					0.9	1.58323	30.48
			S4*	7.312
					1.7	1	—
	Gr2	G3	S5	−7.54
					0.9	1.58323	30.48
			S6	22.989
					D2	1	—
	Gr3	G4	S7*	10.338
					3	1.7545	51.57
			S8*	−8.496
					D3	1	—
	Gr4	G5	S9	−13.245
			S10	∞	15.621	1.5348	39.7
					2	1	—
eyepiece		G6	S11	16.667
lens					28.126	1.58323	30.48
system			S12	∞
					0.5	1	—
		G7	S13*	21.005
			S14	−15.01	2	1.4914	57.82
					13	1	—
		pupil	S15	∞

[0146]

TABLE 10

Data that change during zooming for Example 3

Γ Wide-Angle Limit Middle [M] Telephoto Limit [T]

0.37 0.86 1.99

ω(°) 27.6 12.3 5.2

DIOPT −0.5 −0.5 −0.5

axial D1 0.5 4.768 10.992

distance D2 10.5 4.536 0.389

D3 0.9 2.596 0.518

TABLE 11


Aspherical Data for Example 3

Sur-
face	1/r	ε	A4	A6	A8

S2
	1/−43.245	1	6.951 × 10⁻⁵	−6.339 × 10⁻⁷	1.077 × 10⁻⁸
S4	1/ 7.312	1	−3.819 × 10⁻⁴	−5.180 × 10⁻⁶	−7.916 × 10⁻⁹
S7	1/ 10.388	1	−1.261 × 10⁻⁴	−1.130 × 10⁻⁷	−2.344 × 10⁻⁸
S8	1/ −8.496	1	6.474 × 10⁻⁴	3.375 × 10⁻⁷	1.970 × 10⁻⁸
S13	1/−13.245	1	8.295 × 10⁻⁵	−2.832 × 10⁻⁸	2.004 × 10⁻⁹
S14	1/−15.010	−2	0	0	0

[0148]

TABLE 12

Condition Values of Example 3

Condition (1) Condition (2)

β 4W/FLWobj = 0.225 1/FL1 = 0.04687

Condition (3)

ymax φ 3 · (N′ − N) · (d/dy){x(y) − x0(y)}

Surface (mm) y = 0.7 ymax y = ymax

S7 4.3 −1.61 × 10⁻³ −5.07 × 10⁻³

S8 4.4 −8.79 × 10⁻³ −2.63 × 10⁻²

Condition (6)

[C01/{1 + {square root} (1 − ε 1 · C01²· Y²)} −

C02/{1 + {square root} (1 − ε 2 · C02²· Y²)}] · Y²

Ymax + Σ {(A1i − A2i) · Yⁱ} + t

(mm) Y = 0.7 Ymax Y = Ymax

4.8 0.737 0.968

TABLE 13


Construction Data for Example 4

				Radius of
System	Unit	Element	Surface	Curvature	Axial Distance	Nd	νd

objective	Gr1	G1	S1	16.704
lens					2.4	1.4914	57.82
system			S2*	−18.449
					D1	1	—
	Gr2	G2	S3	−31.515
					0.9	1.58323	30.48
			S4*	7.091
					1.7	1	—
	Gr2	G3	S5	−7.918
					0.9	1.58323	30.48
			S6	89.604
					D2	1	—
	Gr3	G4	S7*	7.581
					3	1.60311	60.74
			S8*	−6.068
					D3	1	—
	Gr4	G5	S9	−14.474
			S10	−1687.84	0.9	1.5348	39.7
					10.186	1	—
eyepiece		G6	S11	16.667
lens					22.075	1.4914	57.82
system			S12	∞
					2.17	1	—
		G7	S13*	21.005
			S14	−15.01	2	1.4914	57.82
					13	1	—
		pupil	S15	∞

[0150]

TABLE 14

Data that change during zooming for Example 4

Wide-Angle Limit Middle [M] Telephoto Limit [T]

Γ 0.32 0.69 1.46

ω(°) 30.7 15.2 7.1

DIOPT −0.5 −0.5 −0.5

axial D1 0.4 3.995 8.7

distance D2 8.5 3.7 0.2

D3 0.5 1.705 0.5

TABLE 15


Aspherical Data for Example 4

Sur-
face	l/r	ε	A4	A6	A8

S1
	1/16.704	1	1.314 × 10⁻⁵	−6.167 × 10⁻⁸	−4.070 × 10⁻¹⁰
S2	1/−18.449	1	−1.589 × 10⁻⁴	−3.956 × 10⁻⁷	−2.211 × 10⁻⁸
S4	1/7.091	1	−7.906 × 10⁻⁴	−6.743 × 10⁻⁶	−8.884 × 10⁻⁹
S7	1/7.581	1	1.313 × 10⁻³	−7.881 × 10⁻⁸	−4.024 × 10⁻⁸
S8	1/−6.068	1	6.303 × 10⁻⁴	−5.762 × 10⁻⁶	3.034 × 10⁻⁸
S13	1/21.005	−2	0	0	0

[0152]

TABLE 16

Condition Values of Example 4

Condition (1) Condition (2)

β4W/FLWobj = 0.23908 1/FL1 = 0.055

Condition (3)

φ3 · (N′—N) ·

ymax (d/dy){x(y) − x0(y)}

Surface (mm) y = 0.7 ymax y = ymax

S7 4.5 −1.65 × 10⁻² −4.89 × 10⁻²

S8 4.6 −7.29 × 10⁻³ −1.84 × 10⁻²

Condition (6)

[C01/{1 + {square root}(1 − ε1 · C01²· Y²)} −

C02/{1 + {square root}(1 − ε2 · C02²· Y²)}] ·

Ymax Y²+ Σ{(A1i − A2i) · Y¹} + t

(mm) Y = 0.7 Ymax Y = Ymax

4.8 0.509 0.582

TABLE 17


Construction Data for Example 5

				Radius of
System	Unit	Element	Surface	Curvature	Axial Distance	Nd	νd

objective	Gr1	G1	S1	10.459
lens					2.4	1.4914	57.82
system			S2*	−22.983
					D1	1	—
	Gr2	G2	S3	−19.551
					0.9	1.58323	30.48
			S4*	4.515
					1.7	1	—
	Gr2	G3	S5	−7.94
					0.9	1.58323	30.48
			S6	−112.906
					D2	1	—
	Gr3	G4	S7*	7.797
					3	1.7545	51.57
			S8*	−7.183
					D3	1	—
	Gr4	G5	S9	−11.765
			S10	∞	13.889	1.58232	30.48
					2	1	—
eyepiece		G6	S11	16.667
lens					22.075	1.4914	57.82
system			S12	∞
					2.17	1	—
		G7	S13*	21.005
			S14	−15.01	2	1.4914	57.82
					13	1	—
		pupil	S15	∞

[0154]

TABLE 18

Data that change during zooming for Example 5

Wide-Angle Limit Middle [M] Telephoto Limit [T]

Γ 0.32 0.69 1.46

ω (°) 30.7 15.2 7.1

DIOPT −0.5 −0.5 −0.5

axial distance

D1 0.4 3.052 6.983

D2 6.783 2.798 0.2

D3 0.5 1.833 0.5

TABLE 19


Aspherical Data for Example 5

Sur-
face	l/r	ε	A4	A6	A8

S1
	1/10.459	1	1.701 × 10⁻⁴	2.340 × 10⁻⁶	−2.614 × 10⁻⁸
S2	1/−22.983	1	4.826 × 10⁻⁴	−3.117 × 10⁻⁶	3.425 × 10⁻⁸
S4	1/4.515	1	−2.422 × 10⁻³	−1.021 × 10⁻⁵	−1.115 × 10⁻⁸
S7	1/7.797	1	−8.229 × 10⁻⁴	−1.615 × 10⁻⁶	−1.036 × 10⁻⁷
S8	1/−7.183	1	7.461 × 10⁻⁴	−1.053 × 10⁻⁵	7.024 × 10⁻⁸
S13	1/21.005	−2	0	0	0

[0156]

TABLE 20

Condition Values of Example 5

Condition (1) Condition (2)

β4W/FLWobj = 0.26 1/FL1 = 0.067

Condition (3)

φ3 · (N′—N) ·

ymax (d/dy){x(y) − x0(y)}

Surface (mm) y = 0.7 ymax y = ymax

S7 4.5 −1.52 × 10⁻² −4.90 × 10⁻²

S8 4.6 −1.12 × 10⁻² −2.60 × 10⁻²

Condition (6)

[C01/{1 + {square root}(1 − ε1 · C01²· Y²)} −

C02/{1 + {square root}(1 − ε2 · C02²· Y²)}] ·

Ymax Y²+ Σ{(A1i − A2i) · Y¹} + t

(mm) Y = 0.7 Ymax Y = Ymax

3.9 0.345 0.238

TABLE 21


Construction Data for Example 6

				Radius of
System	Unit	Element	Surface	Curvature	Axial Distance	Nd	νd

objective	Gr1	G1	S1	17.72
lens					2.5	1.4931	83.58
system			S2*	−28.634
					D1	1	—
	Gr2	G2	S3	124.973
					1	1.6195	43.14
			S4*	7.65
					2.03	1	—
	Gr2	G3	S5	−6.643
					1	1.5255	71.59
			S6	156.697
					D2	1	—
	Gr3	G4	S7*	10.621
					4	1.6968	56.47
			S8*	−9.118
					D3	1	—
	Gr4	G5	S9	−14.895
			S10	∞	18.326	1.62017	24
					3.7	1	—
eyepiece		G6	S11	17.806
lens					12.51	1.62017	24
system			S12	∞
					0.05	1	—
		G7	S13	∞
			S14	22.432	9.18	1.62017	24
					1.49	1	—
		G8	S15*	12.124
					4.5	1.4914	57.82
			S16	−11.987
					15	1	—
		pupil	S17	∞

[0158]

TABLE 22

Data that change during zooming for Example 6

Wide-Angle Limit Middle [M] Telephoto Limit [T]

Γ 0.44 1.03 2.38

ω (°) 23.5 10.3 4.4

DIOPT −0.5 −0.5 −0.5

axial distance

D1 0.5 5.053 10.93

D2 11.68 5.047 0.336

D3 1.174 3.254 2.088

TABLE 23


Aspherical Data for Example 6

Sur-
face	l/r	ε	A4	A6	A8

S1
	1/17.72	1	−4.870 × 10⁻⁵	−4.205 × 10⁻⁶	1.875 × 10⁻⁸
S2	1/−28.634	1	−1.512 × 10⁻⁵	−3.268 × 10⁻⁶	−7.119 × 10⁻⁹
S4	1/7.65	1	−2.336 × 10⁻⁴	−3.381 × 10⁻⁶	−5.583 × 10⁻⁹
S7	1/10.621	1	1.327 × 10⁻⁴	−1.353 × 10⁻⁶	−4.247 × 10⁻⁸
S8	1/−9.118	1	4.849 × 10⁻⁴	−1.999 × 10⁻⁶	3.305 × 10⁻⁸
S15	1/12.124	1	−2.570 × 10⁻⁴	−1.847 × 10⁻⁷	3.726 × 10⁻⁹

[0160]

TABLE 24

Condition Values of Example 6

Condition (1) Condition (2)

β4W/FLWobj = 0.20578 1/FL1 = 0.4437

Condition (3)

φ3 · (N′—N) ·

ymax (d/dy){x(y) − x0(y)}

Surface (mm) y = 0.7 ymax y = ymax

S7 4.1 −1.34 × 10⁻³ −4.81 × 10⁻³

S8 4.3 −4.62 × 10⁻³ −1.32 × 10⁻²

Condition (6)

[C01/{1 + {square root}(1 − ε1 · C01²· Y²)} −

C02/{1 + {square root}(1 − ε2 · C02²· Y²)}] ·

Ymax Y²+ Σ{(A1i − A2i) · Y¹} + t

(mm) Y = 0.7 Ymax Y = Ymax

4.6 0.728 0.996

TABLE 21


Construction Data for Example 7

				Radius of
System	Unit	Element	Surface	Curvature	Axial Distance	Nd	νd

objective	Gr1	G1	S1	10.858
lens					2.5	1.4914	57.82
system			S2*	68.144
					D1	1	—
	Gr2	G2	S3	23.345
					1	1.62017	24
			S4*	8.202
					2.03	1	—
	Gr2	G3	S5	−9.172
					1	1.5348	39.7
			S6	12.647
					D2	1	—
	Gr3	G4	S7*	13.621
					4	1.7545	51.57
			S8*	−9.888
					D3	1	—
	Gr4	G5	S9	−21.053
			S10	−16.667	22.46	1.58323	30.48
					1	1	—
eyepiece		G6	S11	∞
lens					10.63	1.58323	30.48
system			S12	∞
					0.05	1	—
		G7	S13	∞
			S14	21.047	8.962	1.58323	30.48
					1.49	1	—
		G8	S15*	12.124
					4.5	1.4914	57.82
			S16	−11.987
					13	1	—
		pupil	S17	∞

[0162]

TABLE 26

Data that change during zooming for Example 7

Wide-Angle Limit Middle [M] Telephoto Limit [T]

Γ 0.44 1.03 2.38

ω (°) 23.5 10.3 4.4

DIOPT −0.5 −0.5 −0.5

axial distance

D1

1 5.745 11.974

D2 12.895 5.84 0.728

D3 1.217 3.526 2.41

TABLE 27


Aspherical Data for Example 7

Sur-
face	l/r	ε	A4	A6	A8

S1
	1/10.858	1	2.558 × 10⁻⁴	2.308 × 10⁻⁶	4.140 × 10⁻⁸
S2	1/68.144	1	4.308 × 10⁻⁴	2.898 × 10⁻⁶	7.120 × 10⁻⁹
S4	1/8.202	1	−6.032 × 10⁻⁴	−2.120 × 10⁻⁶	−5.312 × 10⁻⁹
S7	1/13.621	1	−1.884 × 10⁻⁴	4.726 × 10⁻⁷	1.482 × 10⁻⁸
S8	1/−9.888	1	2.040 × 10⁻⁴	−1.660 × 10⁻⁶	1.037 × 10⁻⁸
S15	1/12.124	1	−2.570 × 10⁻⁴	−1.847 × 10⁻⁷	3.726 × 10⁻⁹

[0164]

TABLE 28

Condition Values of Example 7

Condition (1) Condition (2)

β 4W/FLWobj = 0.17628 1/FL1 = 0.03874

Condition (3)

Surface ymax φ 3 · (N′− N) · (d/dy) {x(y) − x0(y)}

(mm) y = 0.7 ymax y = ymax

S7 4.0 −1.51 × 10⁻³ −4.39 × 10⁻³

S8 4.0 −1.52 × 10⁻³ −4.03 × 10⁻³

Condition (6)

Ymax [C01/ {1 +{square root}(1 − ε1 · C01²· Y²)}-C

(mm) 02/{1 {square root}(1 − ε2 · C0²· Y²)}] · Y²

+ Ε {(A1i − A2i) · Y¹} + t

= 0.7 Ymax Y = Ymax

5.0 1.104 1.041

TABLE 29


Construction Data for Example 8

				Radius of
System	Unit	Element	Surface	Curvature	Axial Distance	Nd	νd

objective	Gr1	G1	S1	16.197
lens					2.5	1.4914	57.82
system			S2*	−66.489
					D1	1	—
	Gr2	G2	S3	−124.137
					1	1.58323	30.48
			S4*	26.541
					1.7	1	—
	Gr2	G3	S5	−8.689
					1	1.58323	30.48
			S6	15.7572
					D2	1	—
	Gr3	G4	S7*	14.358
					3.5	1.60311	60.74
			S8*	−7.867
					D3	1	—
	Gr4	G5	S9		20
			S10	∞	24.575	1.4914	57.82
					0.5	1	—
eyepiece		G6	S11*	21.005
lens					2	1.4914	57.82
system			S12	−15.01
					13	1	—
		pupil	S13	∞

[0166]

TABLE 30

Data that change during zooming for Example 8

Wide-Angle Limit Middle [M] Telephoto Limit [T]

Γ 0.37 0.78 1.66

ω(°) 27.6 13.5 6.3

DIOPT −0.5 −0.5 −0.6

axial D1 0.8 5.506 11.839

distance D2 13 6.1 0.827

D3 12.963 15.157 14 098

TABLE 31


Aspherical Data for Example 8

Surface	1/r	ε	A4	A6	A8

S2
	1/−66.489	1	3.475 × 10⁻⁵	−1.386 × 10⁻⁶	−1.109 × 10⁻⁹
S4	1/26.541	1	−2.423 × 10⁻⁴	−5.238 × 10⁻⁶	−7.934 × 10⁻⁹
S7	1/14.358	1	−4.667 × 10⁻⁴	1.615 × 10⁻⁶	1.921 × 10⁻⁸
S8	1/7.867	1	1.663 × 10⁻⁴	−3.032 × 10⁻⁶	1.524 × 10⁻⁸
S11	1/21.005	−2	0	0	0

[0168]

TABLE 32

Condition Values for Example 8

Condition(1) Condition (2)

Nd3 = 1.60311 Surface ymax φ (N′− N) · (d/dy) {x(y) − x0(y)}

(mm) y = 0.7 ymax y = ymax

S7 4.2 −3.09 × 10⁻³ −8.77 × 10⁻³

S8 4.5 −1.05 × 10⁻³ −2.15 × 10⁻³

TABLE 33


Construction Data for Example 9

				Radius of
System	Unit	Element	Surface	Curvature	Axial Distance	Nd	νd

objective	Gr1	G1	S1	17.336
lens					2.5	1.4914	57.82
system			S2*	−25.081
					D1	1	—
	Gr2	G2	S3	−135.855
					1	1.58323	30.48
			S4*	7.912
					1.7	1	—
	Gr2	G3	S5	−7.39
					1	1.58323	30.48
			S6	137.152
					D2	1	—
	Gr3	G4	S7*	9.956
					3.5	1.7545	51.57
			S8*	−9.036
					D3	1	—
	Gr4	G5	S9	−24.498
			S10	70.613	1	1.62017	24
					10.874	1	—
eyepiece		G6	S11		20
lens					24.575	1.4914	57.82
system			S12	∞
					0.5	1	—
		G7	S13*	21.005
			S14	−15.01	2	1.4914	57.82
					13	1	—
		pupil	S15	∞

[0170]

TABLE 34

Data that change during zooming for Example 9

Wide-Angle Limit Middle [M] Telephoto Limit [T]

Γ 0.37 0.78 1.66

ω(°) 27.6 13.5 6.3

DIOPT −0.5 −0.5 −0.5

axial D1 0.8 4.936 10.147

distance D2 10 4.552 0.476

D3 0.8 2.112 0.977

TABLE 35


Aspherical Data for Example 9

Surface	1/r	ε	A4	A6	A8

S2
	1/−25.081	1	7.330 × 10⁻⁵	−1.173 × 10⁻⁷	3.754 × 10⁻⁹
S4	1/7.912	1	−3.750 × 10⁻⁴	−5.183 × 10⁻⁶	−7.768 × 10⁻⁹
S7	1/9.956	1	−5.325 × 10⁻⁴	−1.425 × 10⁻⁶	−1.859 × 10⁻⁸
S8	1/−9.036	1	2.849 × 10⁻⁴	−2.267 × 10⁻⁶	1.559 × 10⁻⁸
S13	1/21.005	−2	0	0	0

[0172]

TABLE 36

Condition Values of Example 9

Condition (1) Condition (2)

Nd3 = 1.7545 Surface ymax φ3 · (N′ − N) · (d/dy) {x(y) − x0(y)}

(mm) y = 0.7 ymax y = ymax

S7 4.7 −8.17 × 10⁻³ −2.33 × 10⁻²

S8 4.9 −4.49 × 10⁻³ −1.16 × 10⁻²

TABLE 37


Construction Data for Example 10

				Radius of
System	Unit	Element	Surface	Curvature	Axial Distance	Nd	νd

[0174]

TABLE 38

Data that change during zooming for Example 10

Wide-Angle Limit Middle [M] Telephoto Limit [T]

Γ 0.32 0.69 1.46

ω(°) 30.7 15.2 7.1

DIOPT −0.5 −0.5 −0.5

axial D1 0.4 3.052 6.983

distance D2 6.783 2.798 0.2

D3 0.5 1.833 0.5

TABLE 39


Aspherical Data for Example 10

Surface	1/r	ε	A4	A6	A8

S1
	1/10.459	1	1.701 × 10⁻⁴	2.340 × 10⁻⁶	−2.614 × 10⁻⁸
S2	1/22.983	1	4.826 × 10⁻⁴	−3.117 × 10⁻⁶	3.425 × 10⁻⁸
S4	1/4.515	1	−2.422 × 10⁻³	−1.021 × 10⁻⁵	−1.115 × 10⁻⁸
S7	1/7.797	1	−8.229 × 10⁻⁴	−1.615 × 10⁻⁶	1.036 × 10⁻⁷
S8	1/7.183	1	7.461 × 10⁻⁴	−1.053 × 10⁻⁵	7.024 × 10⁻⁸
S13	1/21.005	−2	0	0	0

[0176]

TABLE 40

Condition Values of Example 10

Condition (1) Condition (2)

Nd3 = 1.7545 Surface ymax φ3 (N′ − N) · (d/dy) {x(y) − x0(y)}

(mm) y = 0.7 ymax y = ymax

S7 4.5 −1.52 × 10⁻² −4.90 × 10⁻²

S8 46 −1.12 × 10⁻² −2.60 × 10⁻²

TABLE 41


Construction Data for Example 11

				Radius of
System	Unit	Element	Surface	Curvature	Axial Distance	Nd	νd

objective	Gr1	G1	S1*	10.858
lens system					2.5	1.4914	57.82
			S2*	68.144
					D1	1	—
	GR2	G2	S3	23.345
					1	1.62017	24
			S4*	8.202
					2.03	1	—
		G3	S5	−9.172
					1	1.5348	39.7
			S6	12.647
					D2	1	—
	Gr3	G4	S7*	13.621
					4	1.7545	51.57
			S8*	−9.888
					D3	1	—
	Gr4	G5	S9	−21.053
					22.46	1.58323	30.48
			S10	−16.667
					1	1	—
eyepiece lens		G6	S11	∞
system					10.63	1.58323	30.48
			S12	∞
					0.05	1	—
		G7	S13	∞
					8.962	1.58323	30.48
			S14	21.047
					1.49	1	—
		G8	S15*	12.124
					4.5	1.4914	57.82
			S16	−11.987
					13	1	—
		pupil	S17	∞

[0178]

TABLE 42

Data that change during zooming for Example 11

Wide-Angle Limit Middle [M] Telephoto Limit [T]

Γ 0.44 1.03 2.38

ω(°) 23.5 10.3 4.4

DIOPT −0.5 −0.5 −0.5

axial D1 1 5.745 11.974

distance D2 12.895 5.84 0.728

D3 1.217 3.526 2.41

TABLE 43


Aspherical Data for Example 11

Sur-
face	1/r	ε	A4	A6	A8

S1
	1/10.858	1	2.558 × 10⁻⁴	2.308 × 10⁻⁶	4.140 × 10⁻⁸
S2	1/68.144	1	4.308 × 10⁻⁴	2.898 × 10⁻⁶	7.120 × 10⁻⁹
S4	1/ 8.202	1	−6.032 × 10⁻⁴	−2.120 × 10⁻⁶	−5.312 × 10⁻⁹
S7	1/13.621	1	−1.884 × 10⁻⁴	4.726 × 10⁻⁷	−1.482 × 10⁻⁸
S8	1/−9.888	1	2.040 × 10⁻⁴	−1.660 × 10⁻⁶	1.037 × 10⁻⁸
S15	1/12.124	1	−2.570 × 10⁻⁴	−1.847 × 10⁻⁷	3.726 × 10⁻⁹

[0180]

TABLE 44

Condition Values of Example 11

Condition (2)

ymax ø 3 · (N′ − N) · (d/dy) {x(y) − x0(y)}

Condition (1) Surface (mm) y = 0.7 ymax y = ymax

Nd3 = 1.7545 S7 4.0 −1.51 × 10⁻³ −4.39 × 10⁻³

S8 4.0 −1.52 × 10⁻³ −4.03 × 10⁻³
FIGS. [0181] 14(a)-25 (l) are aberration diagrams of the first through eleventh examples. In the FIGS. 14(a)-25(l), the drawings having a suffix in the range of “a”-“d” show the aberration at the wide angle end W, the drawings having a suffix in the range of “e”-“h” show the aberration in the mid-band M, and the drawings having a suffix in the range of “i”-“l” show the aberration at the telephoto end T. In FIGS. 14(a)-25(l), the drawings having an “a”, “e”, or “i” suffix are aberration diagrams showing spherical aberration and on-axis color aberration; the drawings with a “b”, “f”, or “j” suffix are astigmatism diagrams showing astigmatic aberration; the drawings with a “c”, “g”, or “k” suffix are aberration diagrams showing distortion; and the drawings with a “d”, “h”, or “l” suffix are aberration drawings showing magnification color aberration.
In the aberration diagrams showing spherical aberration and on-axis color aberration, the solid line e represents e-line aberration, the broken line g represents g-line aberration, and the dashed line C represents C-line aberration expressed as diopters, respectively; and the symbol H/First Surf. on the vertical axis i represents the entrance height (mm) of light rays at the surface S[0182] 1 nearest the object side of the viewfinder. In the aberration diagrams of astigmatic aberration, distortion, and magnification color aberration, the vertical axis Y′ is a radian value of the entrance angle of the pupil (i.e., the exit angle from the most posterior surface of the viewfinder). In the aberration diagrams showing astigmatic aberration, the solid line (mer-e) represents aberration corresponding to the e-line on the meridional plane, the broken line (sag-e) represents the aberration corresponding to the e-line on the saggital plane, respectively expressed as diopter (DIOPT). In the aberration diagrams of magnification color aberration, the solid line g represent g-line aberration, and the broken line C represents c-line aberration, respectively expressed as angle units/minute (min).
Although the present invention has been fully described by way of examples with reference to the accompanying drawings, it is to be noted that various changes and modification will be apparent to those skilled in the art. Therefore, unless otherwise such changes and modifications depart from the scope of the present invention, they should be construed as being included therein. [0183]

Claims

That which is claimed is:

1. A zoom optical system which provides a variable magnification of a real image, said zoom optical system having an object side and an image side; said zoom optical system having a wide angle position, and a telephoto position; said zoom optical system including an objective optical system which has an optical axis and which comprises, sequentially from said object side:

a first lens unit having a positive optical power;

a second lens unit having a negative optical power;

a third lens unit having a positive optical power; and

a fourth lens unit having either a negative optical power or a positive optical power; and

wherein each of said second lens unit and said third lens unit is movable in a direction along said optical axis; and

wherein the following conditional relationship is satisfied:

0.15≦β4W/FLWobj≦0.28

where:

β4W represents an image forming magnification of the fourth lens unit at the wide angle position, and

FLWobj represents focal length of the objective optical system at the wide angle position.

2. A zoom optical system in accordance with

claim 1

, wherein variable magnification is accomplished by moving said second lens unit in a direction along said optical axis; and

wherein diopter variation due to variable magnification is corrected by moving at least said third lens unit in a direction along said optical axis.

3. A zoom optical system in accordance with

claim 1

, wherein the following conditional relationship is also satisfied:

0.038≦1/FL1≦0.068

where: FL1 represents the focal length of the positive first lens unit.

4. A zoom optical system in accordance with

claim 1

, wherein said third lens unit has at least one surface which is an aspherical surface which, relative to a height y in an optional direction perpendicular to the optical axis such that 0.7 Ymax<y<Ymax (wherein Ymax is the maximum height of the aspherical surface in a direction perpendicular to the optical axis), satisfies the following conditional relationship:

−0.07<φ3·(N′-N) (d/dy){x(y)−x0(y)}<0

where:

φ3 represents refracting power of the third lens unit,

N represents d-line refractive index of a medium of said third lens unit for an aspherical surface on an object side,

N′ represents d-line refractive index of said medium for an aspherical surface on an image side,

x(y) represents a shape of the aspherical surface, and

x0(y) represents a reference spherical surface shape of the aspherical surface.

5. A zoom optical system in accordance with

claim 4

, wherein:

x(y)=(r/ε)·[1−{square root}{1−ε·(y2/r2)}]+ΣAiyi (where i>2), and x0(y)=r#·[1−{square root}{1−(y2/r#2 )}]

where:

r represents a standard radius of curvature of the aspherical surface,

ε represents a secondary curved surface parameter,

Ai represents an aspherical surface coefficient of an i degree, and

r# represents a paraxial radius of curvature of the aspherical surface (where 1/r#=(1/r)+2·A2).

6. A zoom optical system in accordance with

claim 4

, wherein said positive first lens element is a single lens element formed of glass having a low dispersion which satisfies the following conditional relationship:

νd>65

where νd represents d-line Abbe's number.

7. A zoom optical system in accordance with

claim 1

νd>65

where νd represents d-line Abbe's number.

8. A zoom optical system in accordance with

claim 1

, wherein said third lens unit comprises a positive biconvex lens element formed of glass and which satisfies the following conditional relationship:

Nd3≦1.6

where Nd 3 represents d-line refractive index of the positive biconvex lens element.

9. A zoom optical system in accordance with

claim 8

, wherein said positive biconvex lens element is the only optical power element of said third lens unit.

10. A zoom optical system in accordance with

claim 8

νd>65

where νd represents d-line Abbe's number.

11. A zoom optical system in accordance with

claim 1

, wherein said second lens unit comprises two negative lens elements having mutually facing concave surfaces.

12. A zoom optical system in accordance with

claim 11

, wherein a light shutter panel is positioned between the two negative lens elements of said second lens unit.

13. A zoom optical system in accordance with

claim 11

, wherein said two negative lens elements having mutually facing concave surfaces comprise a biconcave negative lens element and a negative meniscus lens element which has a concave surface on its object side.

14. A zoom optical system in accordance with

claim 11

, wherein said two negative lens elements having mutually facing concave surfaces comprise two biconcave negative lens elements.

15. A zoom optical system in accordance with

claim 11

, wherein said two negative lens elements having mutually facing concave surfaces comprise a negative meniscus lens element, which has a concave surface on its image side, and a biconcave negat ive lens element.

16. A zoom optical system in accordance with

claim 1

, wherein said first lens unit comprises a single biconvex positive lens element.

17. A zoom optical system in accordance with

claim 1

, wherein said first lens unit comprises a single positive meniscus lens element having a convex surface on its object side.

18. A zoom optical system in accordance with

claim 1

, wherein said first lens unit has a most posterior surface and said second lens unit has a most anterior surface; and wherein, relative to a height Y in an optional direction perpendicular to the optical axis such that 0.7 Ymax<Y<Ymax where Ymax is a maximum effective diameter of the most posterior surface of the first lens unit, said first lens unit and said second lens unit satisfy the following conditional relationship at the wide angle position:

0<[C01/ {1+{square root}(1−ε1·C012·Y2)]−C02/ {1+(1<{square root}(1−ε2 ·C022Y2)}]·Y 2 +Σ{( A1i−A2i)·Yi]+t<0.8 (where i=2˜16) (6)

where:

C01 represents a standard curvature of the most posterior surface of the first lens unit,

C02 represents a standard curvature of the most anterior surface of the second lens unit,

ε1 represents a secondary surfaced surface parameter of the most posterior surface of the first lens unit,

ε2 represents a secondary surfaced surface parameter of the most anterior surface S3 of the second lens unit,

t represents axial distance between the most posterior surface of the first lens unit and the most anterior surface of the second lens unit at the wide angle position W,

A1i represents an aspherical surface coefficient of an i degree of the most posterior surface S2 of the first lens unit, and

A2i represents an aspherical surface coefficient of an i degree of the most anterior surface of the second lens unit.

19. A zoom optical system in accordance with

claim 18

, wherein each of the most posterior surface of the first lens unit and the most anterior surface of the second lens unit has a shape of rotational symmetry about the optical axis.

20. A zoom optical system in accordance with

claim 19

, wherein the shape of rotational symmetry is stipulated by the following equations:

F(X,Y,Z)=X−f(Y,Z)=0 f(Y,Z)=C0φ2/[1+(1−εC02φ2)½)+ΣAiφi ( where i=2·16) φ2=Y2+Z2

where:

X,Y,Z represent X,Y,Z coordinates in a local coordinate system of each plane,

C0 represents an apex curvature (=1/r),

ε represents a secondary curved surface parameter, and

A2-A16 represent aspherical surface coefficients from second through sixteenth.

21. A zoom optical system which provides a variable magnification of a real image, said zoom optical system having an object side and an image side; said zoom optical system having a wide angle position, and a telephoto position; said zoom optical system including an objective optical system which has an optical axis and which comprises, sequentially from said object side:

a first lens unit having a positive optical power;

a second lens unit having a negative optical power;

a third lens unit having a positive optical power; and

wherein said third lens unit comprises a single biconvex lens element which satisfies the following conditional relationship:

Nd3≧1.6

where Nd 3 represents a d-line refractive index of lens material of the single biconvex lens element.

22. A zoom optical system in accordance with

claim 21

, wherein said single biconvex lens element is the only optical power element of said third lens unit.

23. A zoom optical system in accordance with

claim 21

24. A zoom optical system in accordance with

claim 21

, wherein the following conditional relationship is also satisfied:

0.038≦1/FL1≦0.068

where: FL 1 represents the focal length of the positive first lens unit.

25. A zoom optical system in accordance with

claim 21

−0.07<φ3 (N′-N)·(d/dy) {x(y)−x0(y)}<0

where:

φ3 represents refracting power of the third lens unit,

x(y) represents a shape of the aspherical surface, and

x0(y) represents a reference spherical surface shape of the aspherical surface.

26. A zoom optical system in accordance with

claim 25

, wherein:

x(y)=(r/ε)·[1−{square root}{1−ε·(y2/r2)}]+ΣAiyi (where i>2), and x0(y)=r#·[1−, {1−(y2/r#2)}]

where:

r represents a standard radius of curvature of the aspherical surface,

ε represents a secondary curved surface parameter,

Ai represents an aspherical surface coefficient of an i degree, and

27. A zoom optical system in accordance with

claim 25

νd>65

where νd represents d-line Abbe's number.

28. A zoom optical system in accordance with

claim 21

νd>65

where νd represents d-line Abbe's number.

29. A zoom optical system in accordance with

claim 21

30. A zoom optical system in accordance with

claim 29

31. A zoom optical system in accordance with

claim 29

32. A zoom optical system in accordance with

claim 29

33. A zoom optical system in accordance with

claim 29

, wherein said two negative lens elements having mutually facing concave surfaces comprise a negative meniscus lens element, which has a concave surface on its image side, and a biconcave negative lens element.

34. A zoom optical system in accordance with

claim 21

35. A zoom optical system in accordance with

claim 21

36. A zoom optical system in accordance with

claim 21

, wherein said first lens unit has a most posterior surface and said second lens unit has a most anterior surface; and wherein, relative to a height Y in an optional direction perpendicular to the optical axis such that 0.7Ymax<Y<Ymax where Ymax is a maximum effective diameter of the most posterior surface of the first lens unit, said first lens unit and said second lens unit satisfy the following conditional relationship at the wide angle position:

0<[C01/ {1+{square root}(1−ε1·C012·Y2)]−C02/ {1+(1<{square root}(1−ε2 ·C022Y2)}]·Y 2 +Σ{( A1i−A2i)·Yi]+t<0.8 (where i=2˜16) (6)

where:

37. A zoom optical system in accordance with

claim 36

38. A zoom optical system in accordance with

claim 37

F(X,Y,Z)=X−f(Y,Z)=0 f(Y,Z)=C0φ2/[1+(1−εC02φ2)½)+ΣAiφi (where i=2·16) φ2=Y2+Z2

where:

X,Y,Z represent X,Y,Z coordinates in a local coordinate system of each plane,

C0 represents an apex curvature (=1/r),

ε represents a secondary curved surface parameter, and

A2-A16 represent aspherical surface coefficients from second through sixteenth.