Multiple image optics system

Claim 2

An optical apparatus for forming a plurality of images of an object, comprising: an object-side lens group on an object side thereof which collimates a bundle of light from the object; and an image-side lens array on an image side thereof which forms a plurality of images of the object from said collimated bundle of light, and satisfying the following condition (1): 0.8≦q/p≦1.0 (1) where p represents an intercentral distance between any replicated input image within an array of input images replicated on a back focal plane of the image-side lens array and a replicated input image nearest thereto, and q is a length of a segment of a line passing through centers of both said replicated input images which is cut off by one replicated input image.

Claim 3

An optical apparatus for forming a plurality of images of an object, comprising: an object-side lens group on an object side thereof; and an image-side lens array on an image side thereof, and satisfying the following condition (1): 0.8≦q/p≦1.0 (1) where p represents an intercentral distance between any replicated input image within an array of input images replicated on a back focal plane of the image-side lens array and a replicated input image nearest thereto, and q is a length of a segment of a line passing through centers of both said replicated input images, which is cut off by one replicated input image, wherein each lens element of said image-side lens array satisfies the following condition (2): 0.08<d/r.sub.a <0.1 (2) where d is a lens thickness of each lens element, and r a is a radius of curvature of an object-side surface of each lens element.

Claim 4

An optical apparatus for forming a plurality of images of an object, comprising: an object-side lens group on an object side thereof; and an image-side lens array on an image side thereof, and satisfying the following condition (1): 0.8≦q/p≦1.0 (1) where p represents an intercentral distance between any replicated input image within an array of input images replicated on a back focal plane of the image-side lens array and a replicated input image nearest thereto, and q is a length of a segment of a line passing through centers of both said replicated input images, which is cut off by one replicated input image, wherein each lens element of said image-side lens array satisfies the following condition (2): 0.08<d/r.sub.a <0.1 (2) where d is a lens thickness of each lens element, and r a is a radius of curvature of an object-side surface of each lens element.

Claim 5

An optical apparatus for forming a plurality of images of an object, comprising: an object-side lens group on an object side thereof; and an image-side lens array on an image side thereof, and satisfying the following condition (1): 0.8≦q/p≦1.0 (1) where p represents an intercentral distance between any replicated input image within an array of input images replicated on a back focal plane of the image-side lens array and a replicated input image nearest thereto, and q is a length of a segment of a line passing through centers of both said replicated input images, which is cut off by one replicated input image, wherein lens elements of said image-side lens array are radial type of graded index lenses represented by the following equation (a) and satisfying the following condition (3): N(r)=N.sub.00 +N.sub.10 r.sup.2 +N.sub.20 r.sup.4 + . . . (a) N.sub.10 <0 (3) where r is a distance of the radial type of graded index lens, as viewed from an optical axis thereof in a radial direction, N(r) is a refractive index of the radial type of graded index lens at the distance r, N 00 is a refractive index of the radial type of graded index lens on an optical axis thereof, and N 10 and N 20 are second- and fourth-order refractive index profile coefficients of the radial type of graded index lens, respectively.

Claim 6

An optical apparatus for forming a plurality of images of an object, comprising: an object-side lens group on an object side thereof; and an image-side lens array on an image side thereof, and satisfying the following condition (1): 0.8≦q/p≦1.0 (1) where p represents an intercentral distance between any replicated input image within an array of input images replicated on a back focal plane of the image-side lens array and a replicated input image nearest thereto, and q is a length of a segment of a line passing through centers of both said replicated input images, which is cut off by one replicated input image, wherein lens elements of said image-side lens array are radial type of graded index lenses represented by the following equation (a) and satisfying the following condition (3): N(r)=N.sub.00 +N.sub.10 r.sup.2 +N.sub.20 r.sup.4 + . . . (a) N.sub.10 <0 (3) where r is a distance of the radial type of graded index lens, as viewed from an optical axis thereof in a radial direction, N(r) is a refractive index of the radial type of graded index lens at the distance r, N 00 is a refractive index of the radial type of graded index lens on an optical axis thereof, and N 10 and N 20 are second- and fourth-order refractive index profile coefficients of the radial type of graded index lens, respectively.

Claim 7

An optical apparatus for forming a plurality of images of an object, comprising: an object-side lens group on an object side thereof; and an image-side lens array on an image side thereof, and satisfying the following condition (1): 0.8≦q/p≦1.0 (1) where p represents an intercentral distance between any replicated input image within an array of input images replicated on a back focal plane of the image-side lens array and a replicated input image nearest thereto, and q is a length of a segment of a line passing through centers of both said replicated input images, which is cut off by one replicated input image, wherein lens elements of said image-side lens array are radial type of graded index lenses represented by the following equation (a) and satisfying the following condition (4): N(r)=N.sub.00 +N.sub.10 r.sup.2 +N.sub.20 r.sup.4 +. . . (a) -1<φ.sub.s /φ.sub.m <-0.6 (4) where r is a distance of the radial type of graded index lens, as viewed from an optical axis thereof in a radial direction, N(r) is a refractive index of the radial type of graded index lens at the distance r, N 00 is a refractive index of the radial type of graded index lens on an optical axis thereof, N 10 and N 20 are second- and fourth-order refractive index profile coefficients of the radial type of graded index lens, respectively, and φ s , and φ m are refracting powers of the radial type of graded index lens by surface and medium, respectively.

Claim 8

An optical apparatus for forming a plurality of images of an object, comprising: an object-side lens group on an object side thereof; and an image-side lens array on an image side thereof, and satisfying the following condition (1): 0.8≦q/p≦1.0 (1) where p represents an intercentral distance between any replicated input image within an array of input images replicated on a back focal plane of the image-side lens array and a replicated input image nearest thereto, and q is a length of a segment of a line passing through centers of both said replicated input images, which is cut off by one replicated input image, wherein lens elements of said image-side lens array are radial type of graded index lenses represented by the following equation (a) and satisfying the following condition (4): N(r)=N.sub.00 +N.sub.10 r.sup.2 +N.sub.20 r.sup.4 +. . . (a) -1<φ.sub.s /φ.sub.m <-0.6 (4) where r is a distance of the radial type of graded index lens, as viewed from an optical axis thereof in a radial direction, N(r) is a refractive index of the radial type of graded index lens at the distance r, N 00 is a refractive index of the radial type of graded index lens on an optical axis thereof, N 10 and N 20 are second- and fourth-order refractive index profile coefficients of the radial type of graded index lens, respectively, and φ s , and φ m are refracting powers of the radial type of graded index lens by surface and medium, respectively.

Claim 9

An optical apparatus for forming a plurality of images of an object, comprising: an object-side lens group on an object side thereof; and an image-side lens array on an image side thereof, and satisfying the following condition (1): 0.8≦q/p≦1.0 (1) where p represents an intercentral distance between any replicated input image within an array of input images replicated on a back focal plane of the image-side lens array and a replicated input image nearest thereto, and q is a length of a segment of a line passing through centers of both said replicated input images, which is cut off by one replicated input image, wherein lens elements of said image-side lens array are radial type of graded index lenses represented by the following equation (a) and satisfying the following condition (5): N(r)=N.sub.00 +N.sub.10 r.sup.2 +N.sub.20 r.sup.4 +. . . (a) V.sub.10.sup.-1 <V.sub.00.sup.31 1 ( 5) where r is a distance of the radial type of graded index lens, as viewed from an optical axis thereof in a radial direction, N(r) is a refractive index of the radial type of graded index lens at the distance r, N 00 is a refractive index of the radial type of graded index lens on an optical axis thereof, N 10 and N 20 are second- and fourth-order refractive index profile coefficients of the radial type of graded index lens, respectively, and V 00 and V 10 are dispersions of the radial type of graded index lens, as given by the following equations (b) and (c), respectively: V.sub.00 =(N.sub.00d -1)/(N.sub.00F -N.sub.00C) (b) V.sub.10 =N.sub.10d /(N.sub.10F -N.sub.10C) (c) where N 00d , N 00F , and N 00C are axial refractive indices of the radial type of graded index lens with respect to d-, F-, and C-lines, respectively, and N 10d , N 10F , and N 10C are second-order refractive index profile coefficients of the radial type of graded index lens with respect to d-, F-, and C-lines, respectively.

Claim 10

An optical apparatus for forming a plurality of images of an object, comprising: an object-side lens group on an object side thereof; and an image-side lens array on an image side thereof, and satisfying the following condition (1): 0.8≦q/p≦1.0 (1) where p represents an intercentral distance between any replicated input image within an array of input images replicated on a back focal plane of the image-side lens array and a replicated input image nearest thereto, and q is a length of a segment of a line passing through centers of both said replicated input images, which is cut off by one replicated input image, wherein lens elements of said image-side lens array are radial type of graded index lenses represented by the following equation (a) and satisfying the following condition (5): N(r)=N.sub.00 +N.sub.10 r.sup.2 +N.sub.20 r.sup.4 +. . . (a) V.sub.10.sup.-1 <V.sub.00.sup.31 1 ( 5) where r is a distance of the radial type of graded index lens, as viewed from an optical axis thereof in a radial direction, N(r) is a refractive index of the radial type of graded index lens at the distance r, N 00 is a refractive index of the radial type of graded index lens on an optical axis thereof, N 10 and N 20 are second- and fourth-order refractive index profile coefficients of the radial type of graded index lens, respectively, and V 00 and V 10 are dispersions of the radial type of graded index lens, as given by the following equations (b) and (c), respectively: V.sub.00 =(N.sub.00d -1)/(N.sub.00F -N.sub.00C) (b) V.sub.10 =N.sub.10d /(N.sub.10F -N.sub.10C) (c) where N 00d , N 00F , and N 00C are axial refractive indices of the radial type of graded index lens with respect to d-, F-, and C-lines, respectively, and N 10d , N 10F , and N 10C are second-order refractive index profile coefficients of the radial type of graded index lens with respect to d-, F-, and C-lines, respectively.

Claim 11

An optical apparatus for forming a plurality of images of an object, comprising: an object-side lens group on an object side thereof; and an image-side lens array on an image side thereof, and satisfying the following condition (1): 0.8≦q/p≦1.0 (1) where p represents an intercentral distance between any replicated input image within an array of input images replicated on a back focal plane of the image-side lens array and a replicated input image nearest thereto, and q is a length of a segment of a line passing through centers of both said replicated input images, which is cut off by one replicated input image, wherein said multiple image optics system is characterized by complying with the following condition (6): 20<NA.sub.O ·f.sub.O /(NA.sub.I ·f.sub.I)(6) where NA O , and NA I , are numerical apertures of the object-side lens group and the image-side lens array, respectively, and f O and f I are focal lengths of the object-side lens group and the image-side lens array, respectively.

Claim 12

An optical apparatus for forming a plurality of images of an object, comprising: an object-side lens group on an object side thereof; and an image-side lens array on an image side thereof, and satisfying the following condition (1): 0.8≦q/p≦1.0 (1) where p represents an intercentral distance between any replicated input image within an array of input images replicated on a back focal plane of the image-side lens array and a replicated input image nearest thereto, and q is a length of a segment of a line passing through centers of both said replicated input images, which is cut off by one replicated input image, wherein said multiple image optics system is characterized by complying with the following condition (6): 20<NA.sub.O ·f.sub.O /(NA.sub.I ·f.sub.I)(6) where NA O , and NA I , are numerical apertures of the object-side lens group and the image-side lens array, respectively, and f O and f I are focal lengths of the object-side lens group and the image-side lens array, respectively.