Image enlarging optical variator

Claim 2

An optical image enlarging variator comprising two coaxial components and adapted, from a fixed virtual image disposed at the rear of the front component, to give a fixed real image located behind the rear component, the magnification varying as a function of the relative position of the two components, wherein: said two components are movable in relation to each other and to the fixed position of the diaphragm; and the front component, which is divergent, comprises four lenses, namely in the front to rear direction: a first negative power meniscus having its convexity directed towards the front, a second negative power lens, third and fourth lenses cemented to constitute a doublet in which the front lens is biconcave and the rear lens is a positive power lens; the rear component comprises four lenses and has at its front end a compound lens, said compound lens including a negative element, and wherein the rear component includes positive lenses located behind said compound lens; the two components have a relative position in which g1=g2=G=1 and, irrespective of the relative positions of said components, the following requirements are met: 0.20<g1<1.60 0.25<g2<1.50 as well as requirement f2/f1<1.2, wherein g1 designates the image magnification of the front component, g2 being the image magnification produced by the rear component, G the image magnification produced by the complete device, f1 being in absolute value the focal length of the front component and f2 that of the rear component.

Claim 3

Optical variator as claimed in claim 1, wherein the front component meets the following requirements: ##EQU11## wherein f1 designates the focal length, having the minus sign (-), of the front component, R9 and R10 designating the radii of curvature of the front and rear faces of the first lens, respectively, R11 and R12 the radii of curvature of the faces of the second lens, R13 the radius of curvature of the front face of the doublet, R15 the radius of curvature of the rear face of the doublet, R14 the radius of curvature of the doublet cementing face, the minus sign (-) being applied to the radii of curvature of the surfaces of which the convexity is directed to the rear.

Claim 4

Optical variator as claimed in claim 2, wherein the front component meets the following requirements: 1.74<n9<1.84 1.74<n11<1.84 1.54<n13<1.64 1.81<n14<1.91 wherein n9, n11, n13 and n14 designate, in the front to rear direction, the refractive indices of each lens, respectively, for the spectral line e.

Claim 5

Optical variator as claimed in claim 2, wherein the rear component consists of a doublet having at the front a negative power lens cemented to a positive power lens, of third and fourth lenses both of the positive power type, located at therear of said doublet, said rear component meeting the following requirements: ##EQU12## wherein R16 designates the radius of curvature of the front face of the doublet, R17 the radius of curvature of the cemented face, R18 the radius of curvature of the rear face of said doublet, R19 and R20 designating the radii of curvature of the faces of the third lens, R21 and R22 the radii of curvature of the faces of said fourth lens, the minus sign (-) being applied to the radii of curvature of the surfaces having their convexities directed to the rear.

Claim 6

Optical variator as claimed in claim 4, wherein said rear component meets the following requirements: 1.67<n16<1.77 1.60<n17<1.70 1.52<n19<1.62 1.52<n21<1.62 wherein n16, n17, n19 and n21 designate, in the front to rear direction, the refractive indices of each lens, respectively, for the spectral line e.

Claim 7

Optical variator as claimed in claim 1, wherein said front component meets the following requirements: ##EQU13## f1 designating the focal length, bearing the minus sign (-), of the front component, R9 and R10 designating the radii of curvature of the front and rear faces of the first lens, respectively, R11 and R12 the radii of curvature of the faces of the second lens, R13 the radius of curvature of the cemented face of said doublet, R14 the radius of curvature of the doublet cementing face, and R15 the radius of curvature of the rear face of said doublet, the minus sign (-) being applied to the radii of curvature of the surfaces having their convexities directed to the rear.

Claim 8

Optical variator as claimed in claim 6, wherein said front component meets the following requirements: 1.74<n9<1.84 1.74<n11<1.84 1.54<n13<1.64 1.81<n14<1.91 n9, n11, n13 and n14 designating, in the front to rear direction, the refractive indices of each lens, respectively, for the spectral line e.

Claim 9

Optical variator as claimed in claim 6, wherein said rear component comprises four lenses, the first lens being a negative power lens and the other three positive power lenses, said rear component meeting the following requirements: ##EQU14## R16 and R17 designating the radii of curvature of the front and rear faces of the first lens, respectively, R18 and R19 the radii of curvature of the faces of the second lens, R20 and R21 designating the radii of curvature of the faces of the third lens, R22 and R23 the radii of curvature of the faces of said fourth lens, the minus sign (-) being applied to the radii of curvature of the surfaces having their convexities directed to the rear.

Claim 10

Optical variator according to claim 8, wherein said rear component meets the following requirements: 1.73<n16<1.83 1.62<n18<1.72 1.59<n20<1.69 1.59<n22<1.69 n16, n18, n20 and n22 designating, in the front to rear direction, the refractive indices of each lens for the spectral line e.

Claim 11

An optical image enlarging variator comprising two axial components movable in relation to each other and in relation to the fixed position of the diaphragm, the front component being divergent and comprising four lenses, namely, in the front to rear direction, a first negative power meniscus having its convexity directed to the front, a second negative power lens, third and fourth lenses cemented to each other and constituting a doublet in which the front lens is biconcave and the rear lens is a positive power lens, the rear component comprising five lenses, namely a negative power lens and four positive power lenses, wherein the two components have a relative position in which g1=g2=G=1 and, irrespective of the relative positions of said components, the following requirements are met: 0.15<g1<1.9 0.20<g2<1.7 together with the requirement f2/f1<1.5, g1 designating the image magnification produced by the front component, g2 the image magnification produced by the rear component, G the image magnification produced by the complete device, f1 denoting in absolute value the focal length of the front component and f2 that of the rear component.

Claim 12

An optical image enlarging variator comprising two axial components movable in relation to each other and in relation to the fixed position of the diaphragm, the front component being divergent and comprising four lenses, namely, in the front to rear direction, a first negative power meniscus having its convexity directed to the front, a second negative power lens, third and fourth lenses cemented to each other and constituting a doublet in which the front lens is biconcave and the rear lens is a positive power lens, the rear component comprising five lenses, namely a negative power lens and four positive power lenses, wherein the two components have a relative position in which g1=g2=G=1 and, irrespective of the relative positions of said components, the following requirements are met: 0.15<g1<1.9 0.20<g2<1.7 together with the requirement f2/f1<1.5, g1 designating the image magnification produced by the front component, g2 the image magnification produced by the rear component, G the image magnification produced by the complete device, f1 denoting in absolute value the focal length of the front component and f2 that of the rear component.

Claim 13

Optical variator as claimed in claim 10, wherein the front component meets the following requirements: ##EQU15## f1 designating the focal length bearing the minus sign (-) of said front component, R14 and R15 designating the radii of curvature of the front and rear faces of the first lens, respectively, R16 and R17 designating the radii of curvature of the faces of the second lens, respectively, R18 designating the radius of curvature of the front face of the doublet, R19 designating the radius of curvature of the cemented surface of said doublet, R20 designating the radius of curvature of the rear face of said doublet, the minus sign (-) being applied to the radii of curvature of the surfaces having their convexities directed to the rear.

Claim 14

Optical variator as claimed in claim 11, wherein said front component meets the following requirements: 1.70<n14<1.80 1.70<n16<1.80 1.64<n18<1.74 1.75<n19<1.85 n14, n16, n18 and n19 designating in the front to rear direction the refractive indices of each lens for the spectral line e.

Claim 15

Optical variator as claimed in claim 10, wherein the rear component consists of a triplet having at the front a positive power lens cemeted to a negative power lens cemented in turn to a third positive power lens, fourth and fifth lenses, both of the positive power type, located at the rear of said triplet, said rear component meeting the following requirements: ##EQU16## wherein R21 designates the radius of curvature of the front face of the triplet, R22 being the radius of curvature of the first cemented surface, R23 the radius of curvature of the second cemented surface, R24 the radius of curvature of the rear face of said triplet, R25 and R26 the radii of curvature of the faces of the fourth lens, R27 and R28 the radii of curvature of the faces of the fifth lens, the minus sign (-) being applied to the radii of curvature of the surfaces having their convexities directed to the rear.

Claim 16

Optical variator as claimed in claim 13, wherein the rear component meets the following requirements: 1.64<n21<1.74 1.75<n22<1.85 1.64<n23<1.74 1.64<n25<1.74 1.64<n27<1.74 n21, n22, n23, n25 and n27 designating in the front to rear direction the refractive indices of each lens, respectively, for the spectral line e.

Claim 17

Optical variator as claimed in claim 10 wherein the front component meets the following requirements: ##EQU17## f1 designating the focal length, with the minus sign (-), of the front component, R14 and 15 designating the radii of curvature of the front and rear faces, respectively, of the first lens, R16 and R17 the radii of curvature of the faces of the second lens, respectively, R18 the radius of curvature of the front face of the doublet, R19 the radius of curvature of the cemented surface of the doublet, R20 the radius of curvature of the rear face of the doublet, the minus sign (-) being applied to all radii of curvature of the surfaces having their convexities directed to the rear.

Claim 18

Optical variator as claimed in claim 15, wherein the front component meets the following requirements: 1.70<n14<1.80 1.70<n16<1.80 1.64<n18<1.74 1.75<n19<1.85 n14, n16, n18 and n19 designating, in the front to rear direction, the refractive indices of each lens for the spectral line e.

Claim 19

Optical variator as claimed in claim 15, wherein said rear component comprises five lenses, the second lens being of the negative power type and the other four of the positive power type, said rear component meeting the following requirements: ##EQU18## R21 and R22 designating the radii of curvature of the front and rear faces of the first lens, R23 and R24 the radii of curvature of the faces of the second lens, R25 and R26 the radii of curvature of the faces of the third lens, R27 and R28 the radii of curvature of the faces of the fourth lens, R29 and R30 the radii of curvature of the faces of the fifth lens, respectively, the minus sign (-) being applied to the radii of curvature of the lens surfaces having their convexities directed to the rear.

Claim 20

Optical variator as claimed in claim 17, wherein the rear component meets the following requirements: 1.59<n21<1.69 1.75<n23<1.85 1.59<n25<1.67 1.57<n27<1.67 1.57<n29<1.67 n21, n23, n25, n27 and 29 designating in the front to rear direction the refractive indices of each lens, respectively, for the spectral line e.

Claim 21

Optical variator as claimed in claim 10, wherein the front component meets the following requirements: ##EQU19## f1 designating the focal length, bearing the sign minus (-), of the front component, R16 and R17 designating the radii of curvature of the front and rear faces of the first lens, respectively, R18 and R19 the radii of curvature of the faces of the second lens, respectively, R20 the radius of curvature of the front face of the doublet, R21 the radius of curvature of the cemented surface of the doublet, R22 the radius of curvature of the rear surface of the doublet, the minus sign (-) being applied to the radii of curvature of the surfaces having their convexities directed to the rear.

Claim 22

Optical variator as claimed in claim 19, wherein the front component meets the following requirements: 1.70<n16<1.80 1.70<n18<1.80 1.64<n20<1.74 1.75<n21<1.85 n16, n18, n20 and n21 designating, in the front to rear direction, the refractive indices of each lens for the spectral line e.

Claim 23

Optical variator as claimed in claim 19, wherein the rear component comprises a doublet consisting at the front of a positive power lens cemented to a negative power lens, and of third, fourth and fifth lenses all of the positive power type, located at the rear of said doublet, said rear component meeting the following requirements: ##EQU20## R23 designating the radius of curvature of the front face of said doublet, R24 the radius of curvature of the cemented surface, R25 the radius of curvature of the front face of said doublet, R26 and R27 the radii of curvature of the faces of said third lens, R28 and R29 the radii of curvature of the faces of said fourth lens, and R30 and R31 the radii of curvature of the faces of said fifth lens, the minus sign (-) being applied to the radii of curvature of the surfaces having their convexities directed to the rear.

Claim 24

Optical variator as claimed in claim 21, wherein the rear component meets the following requirements: 1.59<n23<1.69 1.75<n24<1.85 1.59<n26<1.69 1.57<n28<1.67 1.57<n30<1.67

Claim 25

An optical variator for use with a fixed diaphragm and adapted for magnifying a fixed virtual image located behind a front component of the variator and producing a magnified fixed real image behind a rear component of the variator, wherein such magnification is variable by varying position of the front and rear components with respect to each other, comprising: a forwardly and rearwardly movable divergent front component including (a) a first divergent meniscus lens facing convex forwardly and having radii R9 and R10, index of refraction n9 and central thickness e9, (b) a second divergent lens having radii R11 and R12, index of refraction n11 and central thickness e11, (c) a divergent biconcave lens having radii R13 and R14, index of refraction n13 and central thickness e13, and (d) a first convergent meniscus lens having radii R14 and R15, index or refraction n14 and central thickness e14, said lenses in the front component being arranged in an order in which the first divergent meniscus lens is forwardmost in the front component, the second divergent lens is immediately behind the first divergent meniscus lens by a distance of e10, the divergent biconcave lens is immediately behind the second divergent lens by a distance of e12, and the first convergent meniscus lens is immediately behind the divergent biconcave lens and is cemented thereto to form a doublet; and a forwardly and rearwardly movable rear component including (a) a second divergent meniscus lens facing convex forwardly and having radii R16 and R17, index of refraction n16 and central thickness e16, (b) a first biconvex lens having radii R17 and R18, index of refraction n17 and central thickness e17, (c) a second convergent meniscus lens having radii R19 and R20, index of refraction n19 and central thickness e19, and (d) a second biconvex lens having radii R21 and R22, index of refraction n21 and central thickness e21, said lenses in the rear component being arranged in an order in which the second divergent meniscus lens is forwardmost in the rear component, the first biconvex lens is immediately behind the second divergent meniscus lens and is cemented thereto to form a doublet, the second convergent meniscus lens is immediately behind the first biconvex lens by a distance of e18, and the second biconvex lens is located immediately behind the second divergent meniscus lens by a distance of e20; wherein the front component and the rear component cooperate in a manner that over all forward and rearward travel of the components, g1=g2=G=1, wherein g1 equals image magnification of the front component, g2 equals image magnification of the rear component, and G equals overall magnification of the optical variator and wherein R9, R10, R11, R12, R13, R14, R15, R16, R17, R18, R19, R20, R21, R22, e9, e10, e11, e12, e13, e14, e16, e17, e18, e19, e20, e21, n9, n11, n13, n14, n16, n17, n19, and n21 satisfy the relations shown in the following table, in which Abbe's numbers for the lenses appears, in which positive radii face convex forwardly and negative radii face convex rearwardly, in which e15 is a variable distance between the first convergent meniscus lens and the second divergent meniscus lens caused by forward and rearward travel of the component, and in which all distances between lenses are center-to-center; __________________________________________________________________________ INDEX OF ABBE'S LENS RADII DISTANCE/THICKNESS REFRACTION NUMBER __________________________________________________________________________ R9 + 244.30 first divergent e9 1 n9 1.79196 47.15 meniscus R10 + 18.40 e10 6.10 air R11 - 150.65 second divergent e11 1.40 n11 1.79196 47.15 R12 + 168.41 e12 2.75 air R13 - 42.39 divergent biconcave e13 1 n13 1.59129 60.9 R14 + 26.77 cemented doublet R14 + 26.77 first convergent e14 3.70 n14 1.85504 23.64 meniscus R15 + 413.63 e15 68.703-0.64 air R16 + 300 second divergent e16 1.10 n16 1.70448 29.9 meniscus R17 + 25.76 cemented doublet R17 + 25.76 first biconvex e17 5.50 n17 1.66024 56.9 R18 - 49.06 e18 0.09 air R19 + 62.44 second convergent e19 2.20 n19 1.54396 73.1 meniscus R20 + 1152.23 e20 0.09 air R21 + 57.59 second biconvex e21 2.80 n21 1.54396 73.1 R22 - 162.60 __________________________________________________________________________

Claim 26

An optical variator for use with a fixed diaphragm and adapted for magnifying a fixed virtual image located behind a front component of the variator and producing a magnified fixed real image behind a rear component of the variator, wherein such magnification is variable by varying position of the front and rear components with respect to each other, comprising: a forwardly and rearwardly movable divergent front component including (a) a first divergent meniscus lens facing convex forwardly and having radii R9 and R10, index of refraction n9 and central thickness e9, (b) a second divergent lens having radii R11 and R12, index of refraction n11 and central thickness e11, (c) a divergent biconcave lens having radii R13 and R14, index of refraction n13 and central thickness e13, and (d) a first convergent meniscus lens having radii R14 and R15, index or refraction n14 and central thickness e14, said lenses in the front component being arranged in an order in which the first divergent meniscus lens is forwardmost in the front component, the second divergent lens is immediately behind the first divergent meniscus lens by a distance of e10, the divergent biconcave lens is immediately behind the second divergent lens by a distance of e12, and the first convergent meniscus lens is immediately behind the divergent biconcave lens and is cemented thereto to form a doublet; and a forwardly and rearwardly movable rear component including (a) a second divergent meniscus lens facing convex forwardly and having radii R16 and R17, index of refraction n16 and central thickness e16, (b) a first biconvex lens having radii R17 and R18, index of refraction n17 and central thickness e17, (c) a second convergent meniscus lens having radii R19 and R20, index of refraction n19 and central thickness e19, and (d) a second biconvex lens having radii R21 and R22, index of refraction n21 and central thickness e21, said lenses in the rear component being arranged in an order in which the second divergent meniscus lens is forwardmost in the rear component, the first biconvex lens is immediately behind the second divergent meniscus lens and is cemented thereto to form a doublet, the second convergent meniscus lens is immediately behind the first biconvex lens by a distance of e18, and the second biconvex lens is located immediately behind the second divergent meniscus lens by a distance of e20; wherein the front component and the rear component cooperate in a manner that over all forward and rearward travel of the components, g1=g2=G=1, wherein g1 equals image magnification of the front component, g2 equals image magnification of the rear component, and G equals overall magnification of the optical variator and wherein R9, R10, R11, R12, R13, R14, R15, R16, R17, R18, R19, R20, R21, R22, e9, e10, e11, e12, e13, e14, e16, e17, e18, e19, e20, e21, n9, n11, n13, n14, n16, n17, n19, and n21 satisfy the relations shown in the following table, in which Abbe's numbers for the lenses appears, in which positive radii face convex forwardly and negative radii face convex rearwardly, in which e15 is a variable distance between the first convergent meniscus lens and the second divergent meniscus lens caused by forward and rearward travel of the component, and in which all distances between lenses are center-to-center; __________________________________________________________________________ INDEX OF ABBE'S LENS RADII DISTANCE/THICKNESS REFRACTION NUMBER __________________________________________________________________________ R9 + 244.30 first divergent e9 1 n9 1.79196 47.15 meniscus R10 + 18.40 e10 6.10 air R11 - 150.65 second divergent e11 1.40 n11 1.79196 47.15 R12 + 168.41 e12 2.75 air R13 - 42.39 divergent biconcave e13 1 n13 1.59129 60.9 R14 + 26.77 cemented doublet R14 + 26.77 first convergent e14 3.70 n14 1.85504 23.64 meniscus R15 + 413.63 e15 68.703-0.64 air R16 + 300 second divergent e16 1.10 n16 1.70448 29.9 meniscus R17 + 25.76 cemented doublet R17 + 25.76 first biconvex e17 5.50 n17 1.66024 56.9 R18 - 49.06 e18 0.09 air R19 + 62.44 second convergent e19 2.20 n19 1.54396 73.1 meniscus R20 + 1152.23 e20 0.09 air R21 + 57.59 second biconvex e21 2.80 n21 1.54396 73.1 R22 - 162.60 __________________________________________________________________________

Claim 27

An optical variator for use with a fixed diaphragm and adapted for magnifying a fixed virtual image located behind a front component of the variator and producing a magnified fixed real image behind a rear component of the variator, wherein such magnification is variable by varying position of the front and rear components with respect to each other, comprising: a forwardly and rearwardly movable divergent front component including (a) a divergent meniscus lens facing convex forwardly and having radii R9 and R10, index of refraction n9 and central thickness e9, (b) a first divergent lens having radii R11 and R12, index of refraction n11 and central thickness e11, (c) a divergent biconcave lens having radii R13 and R14, index of refraction n13 and central thickness e13, and (d) a first convergent meniscus lens having radii R14 and R15, index of refraction n14 and central thickness e14, said lenses in the front component being arranged in an order in which the divergent meniscus lens is forwardmost in the front component, the first divergent lens is immediately behind the divergent meniscus lens by a distance of e10, the divergent biconcave lens is immediately behind the first divergent lens by a distance of e12, and the first convergent meniscus lens is immediately behind the divergent biconcave lens and is cemented thereto to form a doublet; and a forwardly and rearwardly movable rear component including (a) a second divergent lens facing convex forwardly and having radii R16 and R17, index of refraction n16 and central thickness e16, (b) a first biconvex lens having radii R18 and R19, index of refraction n18 and central thickness e18, (c) a second convergent meniscus lens having radii R20 and R21, index of refraction n20 and central thickness e20, (d) a second biconvex lens having radii R22 and R23, index of refraction n22 and central thickness e22, said lenses in the rear component being arranged in an order in which the second divergent lens is forwardmost in the rear component, the first biconvex lens is immediately behind the second divergent lens by a distance of e17, the second convergent meniscus lens is immediately behind the first biconvex lens by a distance of e19, and the second biconvex lens is located immediately behind the second convergent meniscus lens by a distance of e21; wherein the front component and the rear component cooperate in a manner that over all forward and rearward travel of the components, g1=g2=G=1, wherein g1 equals image magnification of the front component, g2 equals image magnification of the rear component, and G equals overall magnification of the optical variator and wherein R9, R10, R11, R12, R13, R14, R15, R16, R17, R18, R19, R20, R21, R22, R23, e9, e10, e11, e12, e14, e16, e17, e18, e19, e20, e21, e22, n9, n11, n13, n14, n16, n18, n20, and n22 satisfy the relations shown in the following table, in which Abbe's numbers for the lenses appears, in which positive radii face convex forwardly and negative radii face convex rearwardly, in which e15 is a variable distance between the first convergent meniscus lens and the second divergent lens caused by forward and rearward travel of the components and in which all distances between lenses are center-to-center; __________________________________________________________________________ INDEX OF ABBE'S LENS RADII DISTANCE/THICKNESS REFRACTION NUMBER __________________________________________________________________________ R9 + 181.06 divergent meniscus e9 1 n9 1.79196 47.15 R10 + 18.98 e10 6.10 air R11 - 170.50 first divergent e11 1 n11 1.79196 47.15 R12 + 183.25 e12 2.75 air R13 - 42 divergent biconcave e13 1 n13 1.59129 60.9 R14 + 26.71 cemented doublet R14 + 26.71 first convergent e14 3.70 n14 1.85504 23.64 meniscus R15 + 182.30 e15 68.154-0.23 air R16 ∞ second divergent e16 1 n16 1.79213 25.69 R17 + 34.59 e17 0.20 air R18 + 35.82 first biconvex e18 5.70 n18 1.68092 55.27 R19 - 45.17 e19 0.08 air R20 + 53.50 second convergent e20 2.30 n20 1.62529 52.87 meniscus R21 + 399.52 e21 0.08 air R22 + 57.92 second biconvex e22 3.20 n22 1.62529 52.87 R23 - 107.48 __________________________________________________________________________

Claim 28

An optical variator for use with a fixed diaphragm and adapted for magnifying a fixed virtual image located behind a front component of the variator and producing a magnified fixed real image behind a rear component of the variator, wherein such magnification is variable by varying position of the front and rear components with respect to each other, comprising: a forwardly and rearwardly movable divergent front component including (a) a divergent meniscus lens facing convex forwardly and having radii R9 and R10, index of refraction n9 and central thickness e9, (b) a first divergent lens having radii R11 and R12, index of refraction n11 and central thickness e11, (c) a divergent biconcave lens having radii R13 and R14, index of refraction n13 and central thickness e13, and (d) a first convergent meniscus lens having radii R14 and R15, index of refraction n14 and central thickness e14, said lenses in the front component being arranged in an order in which the divergent meniscus lens is forwardmost in the front component, the first divergent lens is immediately behind the divergent meniscus lens by a distance of e10, the divergent biconcave lens is immediately behind the first divergent lens by a distance of e12, and the first convergent meniscus lens is immediately behind the divergent biconcave lens and is cemented thereto to form a doublet; and a forwardly and rearwardly movable rear component including (a) a second divergent lens facing convex forwardly and having radii R16 and R17, index of refraction n16 and central thickness e16, (b) a first biconvex lens having radii R18 and R19, index of refraction n18 and central thickness e18, (c) a second convergent meniscus lens having radii R20 and R21, index of refraction n20 and central thickness e20, (d) a second biconvex lens having radii R22 and R23, index of refraction n22 and central thickness e22, said lenses in the rear component being arranged in an order in which the second divergent lens is forwardmost in the rear component, the first biconvex lens is immediately behind the second divergent lens by a distance of e17, the second convergent meniscus lens is immediately behind the first biconvex lens by a distance of e19, and the second biconvex lens is located immediately behind the second convergent meniscus lens by a distance of e21; wherein the front component and the rear component cooperate in a manner that over all forward and rearward travel of the components, g1=g2=G=1, wherein g1 equals image magnification of the front component, g2 equals image magnification of the rear component, and G equals overall magnification of the optical variator and wherein R9, R10, R11, R12, R13, R14, R15, R16, R17, R18, R19, R20, R21, R22, R23, e9, e10, e11, e12, e14, e16, e17, e18, e19, e20, e21, e22, n9, n11, n13, n14, n16, n18, n20, and n22 satisfy the relations shown in the following table, in which Abbe's numbers for the lenses appears, in which positive radii face convex forwardly and negative radii face convex rearwardly, in which e15 is a variable distance between the first convergent meniscus lens and the second divergent lens caused by forward and rearward travel of the components and in which all distances between lenses are center-to-center; __________________________________________________________________________ INDEX OF ABBE'S LENS RADII DISTANCE/THICKNESS REFRACTION NUMBER __________________________________________________________________________ R9 + 181.06 divergent meniscus e9 1 n9 1.79196 47.15 R10 + 18.98 e10 6.10 air R11 - 170.50 first divergent e11 1 n11 1.79196 47.15 R12 + 183.25 e12 2.75 air R13 - 42 divergent biconcave e13 1 n13 1.59129 60.9 R14 + 26.71 cemented doublet R14 + 26.71 first convergent e14 3.70 n14 1.85504 23.64 meniscus R15 + 182.30 e15 68.154-0.23 air R16 ∞ second divergent e16 1 n16 1.79213 25.69 R17 + 34.59 e17 0.20 air R18 + 35.82 first biconvex e18 5.70 n18 1.68092 55.27 R19 - 45.17 e19 0.08 air R20 + 53.50 second convergent e20 2.30 n20 1.62529 52.87 meniscus R21 + 399.52 e21 0.08 air R22 + 57.92 second biconvex e22 3.20 n22 1.62529 52.87 R23 - 107.48 __________________________________________________________________________

Claim 29

An optical variator for use with a fixed diaphragm and adapted for magnifying a fixed virtual image located behind a front component of the variator and producing a magnified fixed real image behind a rear component of the variator, wherein such magnification is variable by varying position of the front and rear components with respect to each other, comprising: a forwardly and rearwardly movable divergent front component including (a) a first divergent meniscus lens facing convex forwardly and having radii R14 and R15, index of refraction n14 and a central thickness e14, (b) a second divergent meniscus lens having radii R16 and R17, index of refraction n16 and central thickness e16, (c) a first divergent biconcave lens having radii R18 and R19, index of refraction n18 and central thickness e18, and (d) a first biconvex lens having radii R19 and R20, index of refraction n19 and central thickness e19, said lenses in the front component being arranged in an order in which the first divergent meniscus lens is forwardmost in the front component, the second divergent meniscus lens is immediately behind the first divergent meniscus lens by a distance of e15, the first divergent biconcave lens is immediately behind the second divergent meniscus lens by a distance of e17, and the first biconvex lens is immediately behind the first divergent biconcave lens and is cemented thereto to form a doublet; and a forwardly and rearwardly movable rear component including (a) a second biconvex lens having radii R21 and R22, index of refraction n21 and central thickness e21, (b) a second divergent biconcave lens having radii R22 and R23, index of refraction n22 and central thickness e22, (c) a third biconvex lens having radii R23 and R24, index of refraction n23 and central thickness e23, (d) a convergent meniscus lens having radii R25 and R26, index of refraction n25 and central thickness e25, and (e) a convergent biconvex lens having radii R27 and R28, index of refraction n27 and central thickness e27, said lenses in the rear component being arranged in an order in which the second biconvex lens is forwardmost in the rear component, the second divergent biconcave lens is immediately behind the second biconvex lens and is cemented thereto to form a part of a triplet, the third biconvex lens is immediately behind the second divergent biconcave lens and is cemented thereto to complete said triplet, the convergent meniscus lens is located immediately behind the third biconvex lens by a distance of e24, and the convergent biconvex lens is located immediately behind the convergent meniscus lens by a distance of e26; wherein the front component and the rear component cooperate in a manner that over all forward and rearward travel of the components, g1=g2=G=1, wherein g1 equals image magnification of the front component, g2 equals image magnification of the rear component, and G equals overall magnification of the optical variator and wherein R14, R15, R16, R17, R18, R19, R20, R21, R22, R23, R24, R25, R26, R27, R28, e14, e15, e16, e17, e18, e19, e21, e22, e23, e24, e25, e26, e27, n14, n16, n18, n19, n21, n22, n23, n25, and n27 satisfy the relations shown in the following table, in which Abbe's numbers for the lenses appears, in which positive radii face convex forwardly and negative radii face convex rearwardly, in which e20 is a variable distance between the first biconvex lens and the second biconvex lens caused by forward and rearward travel of the components, and which all distances between lenses are center-to-center; __________________________________________________________________________ DISTANCE/ INDEX OF ABBE'S LENS RADII THICKNESS REFRACTION NUMBER __________________________________________________________________________ R14 + 95.57 first divergent e14 2 n14 1.74794 44.55 meniscus R15 + 37.93 e15 10.00 air R16 + 421.41 second divergent e16 2 n16 1.74794 44.55 meniscus R17 + 80.24 e17 9 air R18 - 83.31 first divergent e18 2 n18 1.69402 54.53 biconcave R19 + 48.67 cemented doublet R19 + 48.67 first biconvex e19 10 n19 1.81253 25.30 R20 - 645.58 e20 220.518-7.69 air R21 + 335.59 second biconvex e21 8.33 n21 1.69380 53.80 R22 - 181.29 in cemented triplet R22 - 181.29 second divergent e22 2.38 n22 1.81253 25.30 biconcave R23 + 100.35 in cemented triplet R23 + 100.35 third biconvex e23 15.47 n23 1.69380 53.80 R24 - 137 e24 0.119 air R25 + 171.40 convergent e25 7.14 n25 1.69380 53.80 meniscus R26 + 2171.53 e26 0.119 air R27 + 182.85 convergent e27 7.735 n27 1.69380 53.80 biconvex R28 - 2667.0 __________________________________________________________________________

Claim 30

An optical variator for use with a fixed diaphragm and adapted for magnifying a fixed virtual image located behind a front component of the variator and producing a magnified fixed real image behind a rear component of the variator, wherein such magnification is variable by varying position of the front and rear components with respect to each other, comprising: a forwardly and rearwardly movable divergent front component including (a) a first divergent meniscus lens facing convex forwardly and having radii R14 and R15, index of refraction n14 and a central thickness e14, (b) a second divergent meniscus lens having radii R16 and R17, index of refraction n16 and central thickness e16, (c) a first divergent biconcave lens having radii R18 and R19, index of refraction n18 and central thickness e18, and (d) a first biconvex lens having radii R19 and R20, index of refraction n19 and central thickness e19, said lenses in the front component being arranged in an order in which the first divergent meniscus lens is forwardmost in the front component, the second divergent meniscus lens is immediately behind the first divergent meniscus lens by a distance of e15, the first divergent biconcave lens is immediately behind the second divergent meniscus lens by a distance of e17, and the first biconvex lens is immediately behind the first divergent biconcave lens and is cemented thereto to form a doublet; and a forwardly and rearwardly movable rear component including (a) a second biconvex lens having radii R21 and R22, index of refraction n21 and central thickness e21, (b) a second divergent biconcave lens having radii R22 and R23, index of refraction n22 and central thickness e22, (c) a third biconvex lens having radii R23 and R24, index of refraction n23 and central thickness e23, (d) a convergent meniscus lens having radii R25 and R26, index of refraction n25 and central thickness e25, and (e) a convergent biconvex lens having radii R27 and R28, index of refraction n27 and central thickness e27, said lenses in the rear component being arranged in an order in which the second biconvex lens is forwardmost in the rear component, the second divergent biconcave lens is immediately behind the second biconvex lens and is cemented thereto to form a part of a triplet, the third biconvex lens is immediately behind the second divergent biconcave lens and is cemented thereto to complete said triplet, the convergent meniscus lens is located immediately behind the third biconvex lens by a distance of e24, and the convergent biconvex lens is located immediately behind the convergent meniscus lens by a distance of e26; wherein the front component and the rear component cooperate in a manner that over all forward and rearward travel of the components, g1=g2=G=1, wherein g1 equals image magnification of the front component, g2 equals image magnification of the rear component, and G equals overall magnification of the optical variator and wherein R14, R15, R16, R17, R18, R19, R20, R21, R22, R23, R24, R25, R26, R27, R28, e14, e15, e16, e17, e18, e19, e21, e22, e23, e24, e25, e26, e27, n14, n16, n18, n19, n21, n22, n23, n25, and n27 satisfy the relations shown in the following table, in which Abbe's numbers for the lenses appears, in which positive radii face convex forwardly and negative radii face convex rearwardly, in which e20 is a variable distance between the first biconvex lens and the second biconvex lens caused by forward and rearward travel of the components, and which all distances between lenses are center-to-center; __________________________________________________________________________ DISTANCE/ INDEX OF ABBE'S LENS RADII THICKNESS REFRACTION NUMBER __________________________________________________________________________ R14 + 95.57 first divergent e14 2 n14 1.74794 44.55 meniscus R15 + 37.93 e15 10.00 air R16 + 421.41 second divergent e16 2 n16 1.74794 44.55 meniscus R17 + 80.24 e17 9 air R18 - 83.31 first divergent e18 2 n18 1.69402 54.53 biconcave R19 + 48.67 cemented doublet R19 + 48.67 first biconvex e19 10 n19 1.81253 25.30 R20 - 645.58 e20 220.518-7.69 air R21 + 335.59 second biconvex e21 8.33 n21 1.69380 53.80 R22 - 181.29 in cemented triplet R22 - 181.29 second divergent e22 2.38 n22 1.81253 25.30 biconcave R23 + 100.35 in cemented triplet R23 + 100.35 third biconvex e23 15.47 n23 1.69380 53.80 R24 - 137 e24 0.119 air R25 + 171.40 convergent e25 7.14 n25 1.69380 53.80 meniscus R26 + 2171.53 e26 0.119 air R27 + 182.85 convergent e27 7.735 n27 1.69380 53.80 biconvex R28 - 2667.0 __________________________________________________________________________

Claim 31

An optical variator for use with a fixed diaphragm and adapted for magnifying a fixed virtual image located behind a front component of the variator and producing a magnified fixed real image behind a rear component of the variator, wherein such magnification is variable by varying position of the front and rear components with respect to each other, comprising: a forwardly and rearwardly movable divergent front component including (a) a first divergent meniscus lens facing convex forwardly and having radii R14 and R15, index of refraction n14 and central thickness e14, (b) a second divergent meniscus lens having radii R16 and R17, index of refraction n16 and central thickness 16, (c) a divergent biconcave lens having radii R18 and R19, index of refraction n18 and central thickness e18, and (d) a first convergent lens having radii R19 and R20, index of refraction n19 and central thickness e19, said lenses in the front component being arranged in an order in which the first divergent meniscus lens is forwardmost in the front component, the second divergent meniscus lens is immediately behind the first divergent meniscus lens by a distance of e15, the divergent biconcave lens is immediately behind the second divergent meniscus lens by a distance of e17, and the first convergent lens is immediately behind the divergent biconcave lens and is cemented thereto to form a doublet; and a forwardly and rearwardly movable rear component including (a) a first biconvex lens having radii R21 and R22, index of refraction n21 and central thickness e21, (b) a biconcave lens having radii R23 and R24, index of refraction n23 and central thickness e23, (c) a second biconvex lens having radii R25 and R26, index of refraction n25 and central thickness e25, (d) a convergent biconvex lens having radii R27 and R28, index of refraction n27 and central thickness e27, and (e) a convergent meniscus lens having radii R29 and R30, index of refraction n29 and central thickness e29, said lenses in the rear component being arranged in an order in which the first biconvex lens is forwardmost in the rear component, the biconcave lens is immediately behind the first biconvex lens by a distance of e22, the second biconvex lens is immediately behind the biconcave lens by a distance of e24, the convergent biconvex lens is located immediately behind the second biconvex lens by a distance of e26, and the convergent meniscus lens is immediately behind the convergent biconvex lens by a distance of e28; wherein the front component and the rear component cooperate in a manner that over all forward and rearward travel of the components, g1=g2=G=1, wherein g1 equals image magnification of the front component, g2 equals image magnification of the rear component, and G equals overall magnification of the optical variator and wherein R14, R15, R16, R17, R18, R19, R20 R21, R22, R23, R24, R25, R26, R27, R28, R29, R30, e14, e15, e16, e17, e18, e19, e21, e22, e23, e24, e25, e26, e27, e28, e29, n14, n16, n18, n19, n21, n23, n25, n27, and n29 satisfy the relations shown in the following table, in which Abbe's numbers for the lenses appears, in which positive radii face convex forwardly and negative radii face convex rearwardly, in which e20 is a variable distance between the first convergent lens and the first biconvex lens caused by forward and rearward travel of the components, and in which all distances between lenses are center-to-center; __________________________________________________________________________ DISTANCE/ INDEX OF ABBE'S LENS RADII THICKNESS REFRACTION NUMBER __________________________________________________________________________ R14 + 95.10 first divergent e14 1.80 n14 1.74794 44.55 meniscus R15 + 35.49 e15 9 air R16 + 379.22 second divergent e16 1.80 n16 1.74794 44.55 meniscus R17 + 72.22 e17 8.10 air R18 - 74.98 divergent biconcave e18 1.80 n18 1.69402 54.53 R19 + 43.80 cemented doublet R19 + 43.80 first convergent e19 9 n19 1.81253 25.30 R20 - 569.80 e20 235.032-1.08 air R21 + 300.30 first biconvex e21 7.398 n21 1.64304 59.85 R22 - 183.32 e22 0.10 air R23 - 183.32 biconcave e23 2.17 n23 1.81253 25.30 R24 + 117.61 e24 0.10 air R25 + 117.61 second biconvex e25 13.514 n25 1.64304 59.85 R26 - 115.22 e26 0.099 air R27 + 146.41 convergent biconvex e27 6.008 n27 1.62286 60.11 R28 - 1375.52 e28 0.099 R29 + 142.73 convergent meniscus e29 6.116 n29 1.62286 60.11 R30 + 1089.56 __________________________________________________________________________

Claim 32

An optical variator for use with a fixed diaphragm and adapted for magnifying a fixed virtual image located behind a front component of the variator and producing a magnified fixed real image behind a rear component of the variator, wherein such magnification is variable by varying position of the front and rear components with respect to each other, comprising: a forwardly and rearwardly movable divergent front component including (a) a first divergent meniscus lens facing convex forwardly and having radii R14 and R15, index of refraction n14 and central thickness e14, (b) a second divergent meniscus lens having radii R16 and R17, index of refraction n16 and central thickness 16, (c) a divergent biconcave lens having radii R18 and R19, index of refraction n18 and central thickness e18, and (d) a first convergent lens having radii R19 and R20, index of refraction n19 and central thickness e19, said lenses in the front component being arranged in an order in which the first divergent meniscus lens is forwardmost in the front component, the second divergent meniscus lens is immediately behind the first divergent meniscus lens by a distance of e15, the divergent biconcave lens is immediately behind the second divergent meniscus lens by a distance of e17, and the first convergent lens is immediately behind the divergent biconcave lens and is cemented thereto to form a doublet; and a forwardly and rearwardly movable rear component including (a) a first biconvex lens having radii R21 and R22, index of refraction n21 and central thickness e21, (b) a biconcave lens having radii R23 and R24, index of refraction n23 and central thickness e23, (c) a second biconvex lens having radii R25 and R26, index of refraction n25 and central thickness e25, (d) a convergent biconvex lens having radii R27 and R28, index of refraction n27 and central thickness e27, and (e) a convergent meniscus lens having radii R29 and R30, index of refraction n29 and central thickness e29, said lenses in the rear component being arranged in an order in which the first biconvex lens is forwardmost in the rear component, the biconcave lens is immediately behind the first biconvex lens by a distance of e22, the second biconvex lens is immediately behind the biconcave lens by a distance of e24, the convergent biconvex lens is located immediately behind the second biconvex lens by a distance of e26, and the convergent meniscus lens is immediately behind the convergent biconvex lens by a distance of e28; wherein the front component and the rear component cooperate in a manner that over all forward and rearward travel of the components, g1=g2=G=1, wherein g1 equals image magnification of the front component, g2 equals image magnification of the rear component, and G equals overall magnification of the optical variator and wherein R14, R15, R16, R17, R18, R19, R20 R21, R22, R23, R24, R25, R26, R27, R28, R29, R30, e14, e15, e16, e17, e18, e19, e21, e22, e23, e24, e25, e26, e27, e28, e29, n14, n16, n18, n19, n21, n23, n25, n27, and n29 satisfy the relations shown in the following table, in which Abbe's numbers for the lenses appears, in which positive radii face convex forwardly and negative radii face convex rearwardly, in which e20 is a variable distance between the first convergent lens and the first biconvex lens caused by forward and rearward travel of the components, and in which all distances between lenses are center-to-center; __________________________________________________________________________ DISTANCE/ INDEX OF ABBE'S LENS RADII THICKNESS REFRACTION NUMBER __________________________________________________________________________ R14 + 95.10 first divergent e14 1.80 n14 1.74794 44.55 meniscus R15 + 35.49 e15 9 air R16 + 379.22 second divergent e16 1.80 n16 1.74794 44.55 meniscus R17 + 72.22 e17 8.10 air R18 - 74.98 divergent biconcave e18 1.80 n18 1.69402 54.53 R19 + 43.80 cemented doublet R19 + 43.80 first convergent e19 9 n19 1.81253 25.30 R20 - 569.80 e20 235.032-1.08 air R21 + 300.30 first biconvex e21 7.398 n21 1.64304 59.85 R22 - 183.32 e22 0.10 air R23 - 183.32 biconcave e23 2.17 n23 1.81253 25.30 R24 + 117.61 e24 0.10 air R25 + 117.61 second biconvex e25 13.514 n25 1.64304 59.85 R26 - 115.22 e26 0.099 air R27 + 146.41 convergent biconvex e27 6.008 n27 1.62286 60.11 R28 - 1375.52 e28 0.099 R29 + 142.73 convergent meniscus e29 6.116 n29 1.62286 60.11 R30 + 1089.56 __________________________________________________________________________

Claim 33

An optical variator for use with a fixed diaphragm and adapted for magnifying a fixed virtual image located behind a front component of the variator and producing a magnified fixed real image behind a rear component of the variator, wherein such magnification is variable by varying position of the front and rear components with respect to each other, comprising: a forwardly and rearwardly movable divergent front component including (a) a convergent meniscus lens facing convex forwardly and having radii R16 and R17, index of refraction n16 and central thickness e16, (b) a divergent meniscus lens having radii R18 and R19, index of refraction n18 and central thickness e18, (c) a first divergent biconcave lens having radii R20 and R21, index of refraction n20 and central thickness e20, and (d) a convergent lens having radii R21 and R22, index of refraction n21 and central thickness e21, said lenses in the front component being arranged in an order in which the convergent meniscus lens is forwardmost in the front component, the divergent meniscus lens is immediately behind the first divergent meniscus lens by a distance of e17, the first divergent biconcave lens is immediately behind the divergent meniscus lens by a distance of e19, and the convergent lens is immediately behind the first divergent biconcave lens and is cemented thereto to form a doublet; and a forwardly and rearwardly movable rear component including (a) a first biconvex lens and having radii R23 and R24, index of refraction n23 and central thickness e23, (b) a second divergent biconcave lens having radii R24 and R25, index of refraction n24 and central thickness e24, (c) a second biconvex lens having radii R26 and R27, index of refraction n26, and central thickness e26, (d) a third biconvex lens having radii R28 and R29, index of refraction n28 and central thickness e28, and (e) a fourth biconvex lens having radii R30 and R31, index of refraction n30 and central thickness e30, said lenses in the rear component being arranged in an order in which the first biconvex lens is forwardmost in the rear component, the second divergent biconcave lens is immediately behind the first biconvex lens and is cemented thereto to form a doublet, the second biconvex lens is immediately behind second divergent biconcave lens by a distance of e25, the third biconvex lens is located immediately behind the second biconvex lens by a distance of e27, and the fourth biconvex lens is located immediately behind the third biconvex lens at a distance of e29; wherein the front component and the rear component cooperate in a manner that over all forward and rearward travel of the components, g1=g2=G=1, wherein g1 equals image magnification of the front component, g2 equals image magnification of the rear component, and G equals overall magnification of the optical variator and wherein R16, R17, R18, R19, R20, R21, R22, R23, R24, R25, R26, R27, R28, R29, R30, R31, e16, e17, e18, e19, e20, e21, e23, e24, e25, e26, e27, e28, e29, e30, n16, n18, n20, n21, n23, n24, n26, n28, and n30 satisfy the relations shown in the following table, in which Abbe's numbers for the lenses appears, in which positive radii face convex forwardly and negative radii face convex rearwardly, in which e22 is a variable distance between the convergent lens and the first biconvex lens caused by forward and rearward travel of the components and in which all distances between lenses are center-to-center; __________________________________________________________________________ DISTANCE/ INDEX OF ABBE'S LENS RADII THICKNESS REFRACTION NUMBER __________________________________________________________________________ R16 + 96.00 convergent e16 1.90 n16 1.74794 44.55 meniscus R17 + 36.39 e17 9.30 air R18 + 441.05 divergent meniscus e18 1.90 n18 1.74794 44.55 R19 + 76.47 e19 8.40 air R20 - 77.73 first divergent meniscus e20 1.90 n20 1.69402 54.53 R21 + 44.44 cemented doublet R21 + 44.44 convergent e21 9.30 n21 1.81253 25.30 R22 - 607.90 e22 248.718-0.93 air R23 + 1283.70 first biconvex e23 7 n23 1.64304 59.85 R24 - 153.66 cemented doublet second divergent 2.40 n24 1.81253 25.30 biconcave R25 + 156.18 e25 0.50 air R26 + 158.73 second biconvex e26 13.50 n26 1.64304 59.85 R27 - 122.67 e27 0.10 air R28 + 215.56 third biconvex e28 7.30 n28 1.62286 60.11 R29 - 453.10 e29 0.10 air R30 + 153 fourth biconvex e30 7.50 n30 1.62286 60.11 R31 - 781.86 __________________________________________________________________________

Claim 34

An optical variator for use with a fixed diaphragm and adapted for magnifying a fixed virtual image located behind a front component of the variator and producing a magnified fixed real image behind a rear component of the variator, wherein such magnification is variable by varying position of the front and rear components with respect to each other, comprising: a forwardly and rearwardly movable divergent front component including (a) a convergent meniscus lens facing convex forwardly and having radii R16 and R17, index of refraction n16 and central thickness e16, (b) a divergent meniscus lens having radii R18 and R19, index of refraction n18 and central thickness e18, (c) a first divergent biconcave lens having radii R20 and R21, index of refraction n20 and central thickness e20, and (d) a convergent lens having radii R21 and R22, index of refraction n21 and central thickness e21, said lenses in the front component being arranged in an order in which the convergent meniscus lens is forwardmost in the front component, the divergent meniscus lens is immediately behind the first divergent meniscus lens by a distance of e17, the first divergent biconcave lens is immediately behind the divergent meniscus lens by a distance of e19, and the convergent lens is immediately behind the first divergent biconcave lens and is cemented thereto to form a doublet; and a forwardly and rearwardly movable rear component including (a) a first biconvex lens and having radii R23 and R24, index of refraction n23 and central thickness e23, (b) a second divergent biconcave lens having radii R24 and R25, index of refraction n24 and central thickness e24, (c) a second biconvex lens having radii R26 and R27, index of refraction n26, and central thickness e26, (d) a third biconvex lens having radii R28 and R29, index of refraction n28 and central thickness e28, and (e) a fourth biconvex lens having radii R30 and R31, index of refraction n30 and central thickness e30, said lenses in the rear component being arranged in an order in which the first biconvex lens is forwardmost in the rear component, the second divergent biconcave lens is immediately behind the first biconvex lens and is cemented thereto to form a doublet, the second biconvex lens is immediately behind second divergent biconcave lens by a distance of e25, the third biconvex lens is located immediately behind the second biconvex lens by a distance of e27, and the fourth biconvex lens is located immediately behind the third biconvex lens at a distance of e29; wherein the front component and the rear component cooperate in a manner that over all forward and rearward travel of the components, g1=g2=G=1, wherein g1 equals image magnification of the front component, g2 equals image magnification of the rear component, and G equals overall magnification of the optical variator and wherein R16, R17, R18, R19, R20, R21, R22, R23, R24, R25, R26, R27, R28, R29, R30, R31, e16, e17, e18, e19, e20, e21, e23, e24, e25, e26, e27, e28, e29, e30, n16, n18, n20, n21, n23, n24, n26, n28, and n30 satisfy the relations shown in the following table, in which Abbe's numbers for the lenses appears, in which positive radii face convex forwardly and negative radii face convex rearwardly, in which e22 is a variable distance between the convergent lens and the first biconvex lens caused by forward and rearward travel of the components and in which all distances between lenses are center-to-center; __________________________________________________________________________ DISTANCE/ INDEX OF ABBE'S LENS RADII THICKNESS REFRACTION NUMBER __________________________________________________________________________ R16 + 96.00 convergent e16 1.90 n16 1.74794 44.55 meniscus R17 + 36.39 e17 9.30 air R18 + 441.05 divergent meniscus e18 1.90 n18 1.74794 44.55 R19 + 76.47 e19 8.40 air R20 - 77.73 first divergent meniscus e20 1.90 n20 1.69402 54.53 R21 + 44.44 cemented doublet R21 + 44.44 convergent e21 9.30 n21 1.81253 25.30 R22 - 607.90 e22 248.718-0.93 air R23 + 1283.70 first biconvex e23 7 n23 1.64304 59.85 R24 - 153.66 cemented doublet second divergent 2.40 n24 1.81253 25.30 biconcave R25 + 156.18 e25 0.50 air R26 + 158.73 second biconvex e26 13.50 n26 1.64304 59.85 R27 - 122.67 e27 0.10 air R28 + 215.56 third biconvex e28 7.30 n28 1.62286 60.11 R29 - 453.10 e29 0.10 air R30 + 153 fourth biconvex e30 7.50 n30 1.62286 60.11 R31 - 781.86 __________________________________________________________________________