US4701032A
Expired / Lapsed
US
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Graded refractive index lens system
Assignee: Olympus Corp
•
Filing: 1985-10-22
•
Granted: 1987-10-20
•
Expires: 2005-10-22
Abstract
Abstract A graded refractive index single lens system comprising at least one surface formed spherically with the radius of curvature being large wherein N.A. is large and various aberrations including off-axial aberrations are well-corrected.
Inventors
- 👤 Katsuhiro Takada
Bibliographic Details
Application Number
—
Jurisdiction
US
Data Source
google_patents
Last Synchronized
2026-11-01 21:36
CPC Classifications
G; G11; G11B; G11B7/00; G11B7/12; G11B7/135; G11B7/1372; G11B7/1374; G02; G02B; G02B3/00; G02B3/0087
Claims Analysis
Total Claims: 76
Claim 1
Independent Claim
132 words
A graded refractive index single lens system comprising at least one surface formed spherically, having refractive index n expressed by the formula shown below wherein n 0 represents the refractive index on the optical axis of said lens and r represent the radial distance from the optical axis, and satisfying the conditions (1), (2) and (3) shown below: n.sup.2 =n.sub.0.sup.2 [1-(gr).sup.2 +h.sub.4 (gr).sup.4 +h.sub.6 (gr).sup.6 + . . . ] gD<0.51 (1) 0.3<gφ<0.7 (2) 0.28f<D (3) where g is a parameter representing the degree of the gradient of the refractive index distribution, h 4 and h 6 respectively represent the 4th- and 6th-order coefficients of said refractive index distribution, D represents the length of said lens, φ represents the diameter of said lens and f represents the focal length of said lens.
Claim 2
Dependent Claim
132 words
A graded refractive index single lens system comprising at least one surface formed spherically, having refractive index n expressed by the formula shown below wherein n 0 represents the refractive index on the optical axis of said lens and r represent the radial distance from the optical axis, and satisfying the conditions (1), (2) and (3) shown below: n.sup.2 =n.sub.0.sup.2 [1-(gr).sup.2 +h.sub.4 (gr).sup.4 +h.sub.6 (gr).sup.6 + . . . ] gD<0.51 (1) 0.3<gφ<0.7 (2) 0.28f<D (3) where g is a parameter representing the degree of the gradient of the refractive index distribution, h 4 and h 6 respectively represent the 4th- and 6th-order coefficients of said refractive index distribution, D represents the length of said lens, φ represents the diameter of said lens and f represents the focal length of said lens.
Claim 3
Dependent Claim
90 words
A graded refractive index single lens system according to claim 1 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 2.847
R.sub.2 = ∞
D = 2.3 n.sub.0 = 1.65
g = 0.12 h.sub.4 = 2.404
h.sub.6 = 47.99
φ = 3.2
f = 3.5556
NA = 0.45 WD = 1.21 gD = 0.340
gφ = 0.384
D/f = 0.796
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 4
Dependent Claim
90 words
A graded refractive index single lens system according to claim 1 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 3.009
R.sub.2 = -62.404
D = 3.333 n.sub.0 = 1.65
g = 0.12 h.sub.4 = 1.716
h.sub.6 = 32.20
φ = 3.2
f = 3.5556
NA = 0.45 WD = 0.99 gD = 0.400
gφ = 0.384
D/f = 0.937
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 5
Dependent Claim
90 words
A graded refractive index single lens system according to claim 1 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 3.194
R.sub.2 = -24.832
D = 3.750 n.sub.0 = 1.65
g = 0.12 h.sub.4 = 1.298
h.sub.6 = 23.65
φ = 3.2
f = 3.5556
NA = 0.45 WD = 0.84 gD = 0.45
gφ = 0.384
D/f = 1.055
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 6
Dependent Claim
90 words
A graded refractive index single lens system according to claim 1 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 3.458
R.sub.2 = -12.852
D = 4.167 n.sub.0 = 1.65
g = 0.12 h.sub.4 = 1.082
h.sub.6 = 18.89
φ = 3.2
f = 3.5556
NA = 0.45 WD = 0.73 gD = 0.5
gφ = 0.384
D/f = 1.172
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 7
Dependent Claim
90 words
A graded refractive index single lens system according to claim 1 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 2.649
R.sub.2 = 60.550
D = 1.333 n.sub.0 = 1.65
g = 0.15 h.sub.4 = -0.597
h.sub.6 = -2.040
φ = 3.2
f = 3.5556
NA = 0.45 WD = 2.01 gD = 0.2
gφ = 0.48
D/f = 0.375
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 8
Dependent Claim
90 words
A graded refractive index single lens system according to claim 1 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 2.716
R.sub.2 = 40.040
D = 1.667 n.sub.0 = 1.65
g = 0.15 h.sub.4 = -0.611
h.sub.6 = -0.923
φ = 3.2
f = 3.5556
NA = 0.45 WD = 1.82 gD = 0.25
gφ = 0.48
D/f = 0.469
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 9
Dependent Claim
90 words
A graded refractive index single lens system according to claim 1 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 2.792
R.sub.2 = 30.725
D = 2.0 n.sub.0 = 1.65
g = 0.15 h.sub.4 = -0.646
h.sub.6 = -0.816
φ = 3.2
f = 3.5556
NA = 0.45 WD = 1.64 gD = 0.3
gφ = 0.48
D/f = 0.562
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 10
Dependent Claim
90 words
A graded refractive index single lens system according to claim 1 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 2.877
R.sub.2 = 25.630
D = 2.333 n.sub.0 = 1.65
g = 0.15 h.sub.4 = -0.691
h.sub.6 = -0.993
φ = 3.2
f = 3.5556
NA = 0.45 WD = 1.45 gD = 0.35
gφ = 0.48
D/f = 0.656
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 11
Dependent Claim
90 words
A graded refractive index single lens system according to claim 1 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 2.973
R.sub.2 = 22.668
D = 2.667 n.sub.0 = 1.65
g = 0.15 h.sub.4 = -0.735
h.sub.6 = -1.227
φ = 3.2
f = 3.5556
NA = 0.45 WD = 1.28 gD = 0.4
gφ = 0.48
D/f = 0.750
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 12
Dependent Claim
90 words
A graded refractive index single lens system according to claim 1 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 3.081
R.sub.2 = 21.061
D = 3.0 n.sub.0 = 1.65
g = 0.15 h.sub.4 = -0.774
h.sub.6 = -1.420
φ = 3.2
f = 3.5556
NA = 0.45 WD = 1.11 gD = 0.45
gφ = 0.48
D/f = 0.844
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 13
Dependent Claim
90 words
A graded refractive index single lens system according to claim 1 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 3.206
R.sub.2 = 20.562
D = 3.333 n.sub.0 = 1.65
g = 0.15 h.sub.4 = -0.802
h.sub.6 = -1.526
φ = 3.2
f = 3.5556
NA = 0.45 WD = 0.95 gD = 0.5
gφ = 0.48
D/f = 0.937
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 14
Dependent Claim
90 words
A graded refractive index single lens system according to claim 1 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 2.916
R.sub.2 = 17.811
D = 2.059 n.sub.0 = 1.65
g = 0.17 h.sub.4 = -1.247
h.sub.6 = -5.704
φ = 3.2
f = 3.5556
NA = 0.45 WD = 1.59 gD = 0.35
gφ = 0.544
D/f = 0.579
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 15
Dependent Claim
90 words
A graded refractive index single lens system according to claim 1 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 3.009
R.sub.2 = 14.981
D = 2.353 n.sub.0 = 1.65
g = 0.17 h.sub.4 = -1.163
h.sub.6 = -4.370
φ = 3.2
f = 3.5556
NA = 0.45 WD = 1.44 gD = 0.4
gφ = 0.544
D/f = 0.662
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 16
Dependent Claim
90 words
A graded refractive index single lens system according to claim 1 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 3.110
R.sub.2 = 12.932
D = 2.647 n.sub.0 = 1.65
g = 0.17 h.sub.4 = -1.099
h.sub.6 = -3.524
φ = 3.2
f = 3.5556
NA = 0.45 WD = 1.28 gD = 0.45
gφ = 0.544
D/f = 0.744
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 17
Dependent Claim
90 words
A graded refractive index single lens system according to claim 1 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 3.219
R.sub.2 = 11.371
D = 2.941 n.sub.0 = 1.65
g = 0.17 h.sub.4 = -1.047
h.sub.6 = -2.937
φ = 3.2
f = 3.5556
NA = 0.45 WD = 1.12 gD = 0.5
gφ = 0.544
D/f = 0.827
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 18
Dependent Claim
90 words
A graded refractive index single lens system according to claim 1 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 3.206
R.sub.2 = 9.178
D = 2.250 n.sub.0 = 1.65
g = 0.20 h.sub.4 = -1.092
h.sub.6 = -2.748
φ = 3.2
f = 3.5556
NA = 0.45 WD = 1.48 gD = 0.45
gφ = 0.64
D/f = 0.633
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 19
Dependent Claim
90 words
A graded refractive index single lens system according to claim 1 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 3.318
R.sub.2 = 7.883
D = 2.5 n.sub.0 = 1.65
g = 0.20 h.sub.4 = -0.986
h.sub.6 = -2.099
φ = 3.2
f = 3.5556
NA = 0.45 WD = 1.34 gD = 0.5
gφ = 0.64
D/f = 0.703
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 20
Dependent Claim
90 words
A graded refractive index single lens system according to claim 1 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 3.148
R.sub.2 = 65.733
D = 3.5 n.sub.0 = 1.7
g = 0.12 h.sub.4 = 0.909
h.sub.6 = 19.14
φ = 3.2
f = 3.5556
NA = 0.45 WD = 0.89 gD = 0.42
gφ = 0.384
D/f = 0.984
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 21
Dependent Claim
90 words
A graded refractive index single lens system according to claim 1 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 3.149
R.sub.2 = 10.286
D = 2.5 n.sub.0 = 1.7
g = 0.17 h.sub.4 = -1.169
h.sub.6 = -3.832
φ = 3.2
f = 3.5556
NA = 0.45 WD = 1.34 gD = 0.425
gφ = 0.544
D/f = 0.703
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 22
Dependent Claim
90 words
A graded refractive index single lens system according to claim 1 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 2.760
R.sub.2 = -14.835
D = 3.0 n.sub.0 = 1.55
g = 0.13 h.sub.4 = 1.839
h.sub.6 = 36.50
φ = 3.2
f = 3.5556
NA = 0.45 WD = 1.18 gD = 0.39
gφ = 0.416
D/f = 0.844
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 23
Dependent Claim
90 words
A graded refractive index single lens system according to claim 1 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 2.512
R.sub.2 = -43.624
D = 1.5 n.sub.0 = 1.55
g = 0.16 h.sub.4 = -0.608
h.sub.6 = -2.217
φ = 3.2
f = 3.5556
NA = 0.45 WD = 1.93 gD = 0.24
gφ = 0.512
D/f = 0.422
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 24
Dependent Claim
122 words
A graded refractive index single lens system comprising at least one surface formed spherically, having refractive index n expressed by the formula shown below wherein n 0 represents the refractive index on the optical axis of said lens and r represents the radial distance from the optical axis, and satisfying the conditions (4) and (5) shown below: n.sup.2 =n.sub.0.sup.2 [1-(gr).sup.2 +h.sub.4 (gr).sup.4 +h.sub.6 (gr).sup.6 + . . . ] 0.96f<D<1.536f (4) 0.63<gf (5) where g is a parameter representing the degree of the gradient of the refractive index distribution, h 4 and h 6 respectively represent the 4th- and 6th-order coefficients of said refractive index distribution, D represents the length of said lens and f represents the focal length of said lens.
Claim 25
Dependent Claim
122 words
A graded refractive index single lens system comprising at least one surface formed spherically, having refractive index n expressed by the formula shown below wherein n 0 represents the refractive index on the optical axis of said lens and r represents the radial distance from the optical axis, and satisfying the conditions (4) and (5) shown below: n.sup.2 =n.sub.0.sup.2 [1-(gr).sup.2 +h.sub.4 (gr).sup.4 +h.sub.6 (gr).sup.6 + . . . ] 0.96f<D<1.536f (4) 0.63<gf (5) where g is a parameter representing the degree of the gradient of the refractive index distribution, h 4 and h 6 respectively represent the 4th- and 6th-order coefficients of said refractive index distribution, D represents the length of said lens and f represents the focal length of said lens.
Claim 26
Dependent Claim
75 words
A graded refractive index single lens system according to claim 23 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 1.234
R.sub.2 = 7.004
D = 1.440 n.sub.0 = 1.50
g = 0.646 n.sub.4 = -0.500
h.sub.6 = -0.426
f = 1.0
NA = 0.5
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 27
Dependent Claim
75 words
A graded refractive index single lens system according to claim 23 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 1.013
R.sub.2 = 4.115
D = 1.140 n.sub.0 = 1.50
g = 0.667 h.sub.4 = -0.718
h.sub.6 = -1.144
f = 1.0
NA = 0.5
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 28
Dependent Claim
75 words
A graded refractive index single lens system according to claim 23 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 1.167
R.sub.2 = 1.230
D = 1.320 n.sub.0 = 1.50
g = 0.708 h.sub.4 = -0.530
h.sub.6 = -0.501
f = 1.0
NA = 0.5
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 29
Dependent Claim
75 words
A graded refractive index single lens system according to claim 23 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 1.039
R.sub.2 = 1.719
D = 1.080 n.sub.0 = 1.50
g = 0.729 h.sub.4 = -0.640
h.sub.6 = -0.809
f = 1.0
NA = 0.5
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 30
Dependent Claim
75 words
A graded refractive index single lens system according to claim 23 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 1.190
R.sub.2 = 0.699
D = 1.200 n.sub.0 = 1.50
g = 0.792 h.sub.4 = -0.385
h.sub.6 = -0.221
f = 1.0
NA = 0.5
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 31
Dependent Claim
75 words
A graded refractive index single lens system according to claim 23 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 1.025
R.sub.2 = 1.462
D = 1.080 n.sub.0 = 1.65
g = 0.646 h.sub.4 = -0.847
h.sub.6 = -1.547
f = 1.0
NA = 0.5
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 32
Dependent Claim
75 words
A graded refractive index single lens system according to claim 23 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 1.244
R.sub.2 = 0.630
D = 1.368 n.sub.0 = 1.65
g = 0.688 h.sub.4 = -0.533
h.sub.6 = -0.501
f = 1.0
NA = 0.5
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 33
Dependent Claim
75 words
A graded refractive index single lens system according to claim 23 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 1.117
R.sub.2 = 0.874
D = 1.140 n.sub.0 = 1.65
g = 0.708 h.sub.4 = -0.628
h.sub.6 = -0.719
f = 1.0
NA = 0.5
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 34
Dependent Claim
75 words
A graded refractive index single lens system according to claim 23 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 1.103
R.sub.2 = 0.902
D = 1.020 n.sub.0 = 1.65
g = 0.750 h.sub.4 = -0.570
h.sub.6 = -0.568
f = 1.0
NA = 0.5
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 35
Dependent Claim
75 words
A graded refractive index single lens system according to claim 23 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 1.231
R.sub.2 = 2.313
D = 1.440 n.sub.0 = 1.50
g = 0.667 h.sub.4 = -0.510
h.sub.6 = -0.489
f = 1.0
NA = 0.6
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 36
Dependent Claim
75 words
A graded refractive index single lens system according to claim 23 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 1.213
R.sub.2 = 1.065
D = 1.380 n.sub.0 = 1.50
g = 0.708 h.sub.4 = -0.488
h.sub.6 = -0.432
f = 1.0
NA = 0.6
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 37
Dependent Claim
124 words
A graded refractive index single lens system comprising at least one surface formed spherically, having refractive index n expressed by the formula shown below wherein n 0 represents the refractive index on the optical axis of said lens and r represents the radial distance from the optical axis, and satisfying the conditions (6), (7) and (8) shown below: n.sup.2 =n.sub.0.sup.2 [1-(gr).sup.2 +h.sub.4 (gr).sup.4 +h.sub.6 (gr).sup.6 +. . . ] D<1.08f (6) gf<0.604 (7) 0.51<gD (8) where g is a parameter representing the degree of the gradient of the refractive index distribution, h 4 and h 6 respectively represent the 4th- and 6th-order coefficients of said refractive index distribution, D represents the length of said lens and f represents the focal length of said lens.
Claim 38
Dependent Claim
124 words
A graded refractive index single lens system comprising at least one surface formed spherically, having refractive index n expressed by the formula shown below wherein n 0 represents the refractive index on the optical axis of said lens and r represents the radial distance from the optical axis, and satisfying the conditions (6), (7) and (8) shown below: n.sup.2 =n.sub.0.sup.2 [1-(gr).sup.2 +h.sub.4 (gr).sup.4 +h.sub.6 (gr).sup.6 +. . . ] D<1.08f (6) gf<0.604 (7) 0.51<gD (8) where g is a parameter representing the degree of the gradient of the refractive index distribution, h 4 and h 6 respectively represent the 4th- and 6th-order coefficients of said refractive index distribution, D represents the length of said lens and f represents the focal length of said lens.
Claim 39
Dependent Claim
48 words
A graded refractive index single lens system according to claim 35, further satisfying the conditions (9), (10) shown below: 2<|R.sub.2 /R.sub.1 | (9) h.sub.4 < (10) where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 40
Dependent Claim
78 words
A graded refractive index single lens system according to claim 36 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 0.866
R.sub.2 = -4.095
D = 1.02 n.sub.0 = 1.5
g = 0.563 h.sub.4 = -0.468
h.sub.6 = 0.822
f = 1.0
NA = 0.5 WD = 0.283
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 41
Dependent Claim
30 words
A graded refractive index single lens system according where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 42
Dependent Claim
30 words
A graded refractive index single lens system according where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 43
Dependent Claim
78 words
A graded refractive index single lens system according to claim 36 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 0.903
R.sub.2 = 5.311
D = 1.010 n.sub.0 = 1.65
g = 0.521 h.sub.4 = -0.699
h.sub.6 = -0.666
f = 1.0
NA = 0.5 WD = 0.259
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 44
Dependent Claim
78 words
A graded refractive index single lens systems according to claim 36 wherein sid graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 0.966
R.sub.2 = 2.452
D = 1.060 n.sub.0 = 1.65
g = 0.585 h.sub.4 = -0.936
h.sub.6 = -2.223
f = 1.0
NA = 0.5 WD = 0.223
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 45
Dependent Claim
78 words
A graded refractive index single lens system according to claim 36 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 0.905
R.sub.2 = 20.534
D = 1.070 n.sub.0 = 1.65
g = 0.479 h.sub.4 = -0.210
h.sub.6 = 4.469
f = 1.0
NA = 0.5 WD = 0.240
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 46
Dependent Claim
78 words
A graded refractive index single lens system according to claim 36 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 0.932
R.sub.2 = 3.942
D = 1.050 n.sub.0 = 1.65
g = 0.542 h.sub.4 = -0.846
h.sub.6 = -1.904
f = 1.0
NA = 0.55 WD = 0.237
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 47
Dependent Claim
78 words
A graded refractive index single lens system according to claim 36 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 0.891
R.sub.2 = 3.727
D = 0.924 n.sub.0 = 1.65
g = 0.554 h.sub.4 = -0.886
h.sub.6 = -2.415
f = 1.0
NA = 0.55 WD = 0.295
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 48
Dependent Claim
78 words
A graded refractive index single lens system according to claim 36 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 0.871
R.sub.2 = -6.682
D = 1.020 n.sub.0 = 1.5
g = 0.583 h.sub.4 = -0.657
h.sub.6 = -0.832
f = 1.0
NA = 0.6 WD = 0.275
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 49
Dependent Claim
78 words
A graded refractive index single lens system according to claim 36 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 0.816
R.sub.2 = -8.201
D = 0.900 n.sub.0 = 1.5
g = 0.583 h.sub.4 = -0.649
h.sub.6 = -0.860
f = 1.0
NA = 0.6 WD = 0.329
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 50
Dependent Claim
79 words
A graded refractive index single lens system according to claim 36 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 0.915
R.sub.2 = 7.404
D = 1.070 n.sub.0 = 1.65
g = 0.504 h.sub.4 = -0.579
h.sub.6 = 0.942
f = 1.0
NA = 0.6 W D = 0.234
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 51
Dependent Claim
124 words
A graded refractive index single lens system comprising at least one surface formed spherically, having refractive index n expressed by the formula shown below where n 0 represents the refractive index on the optical axis of said lens and r represents the radial distance from the optical axis, and satisfying the conditions (11), (12) and (13) shown below: n.sup.2 =n.sub.0.sup.2 [1-(gr).sup.2 +h.sub.4 (gr).sup.4 +h.sub.6 (gr).sup.6 +. . . ] 1.152f<D<1.392f (11) gf<0.562 (12) 0.51<gD (13) where g is a parameter representing the degree of the gradient of the refractive index distribution, h 4 and h 6 respectively represent the 4th- and 6th-order coefficients of said refractive index distribution, D represents the length of said lens and f represents the focal length of said lens.
Claim 52
Dependent Claim
124 words
A graded refractive index single lens system comprising at least one surface formed spherically, having refractive index n expressed by the formula shown below where n 0 represents the refractive index on the optical axis of said lens and r represents the radial distance from the optical axis, and satisfying the conditions (11), (12) and (13) shown below: n.sup.2 =n.sub.0.sup.2 [1-(gr).sup.2 +h.sub.4 (gr).sup.4 +h.sub.6 (gr).sup.6 +. . . ] 1.152f<D<1.392f (11) gf<0.562 (12) 0.51<gD (13) where g is a parameter representing the degree of the gradient of the refractive index distribution, h 4 and h 6 respectively represent the 4th- and 6th-order coefficients of said refractive index distribution, D represents the length of said lens and f represents the focal length of said lens.
Claim 53
Dependent Claim
75 words
A graded refractive index single lens system according to claim 47 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 1.075
R.sub.2 = 16.903
D = 1.320 n.sub.0 = 1.65
g = 0.521 h.sub.4 = -0.693
h.sub.6 = -0.677
f = 1.0
NA = 0.5
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 54
Dependent Claim
75 words
A graded refractive index single lens system according to claim 47 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 1.069
R.sub.2 = -15.880
D = 1.368 n.sub.0 = 1.80
g = 0.375 h.sub.4 = 1.058
h.sub.6 = 21.635
f = 1.0
NA = 0.5
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 55
Dependent Claim
75 words
A graded refractive index single lens system according to claim 47 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 1.035
R.sub.2 = 2.0750
D = 1.248 n.sub.0 = 1.80
g = 0.479 h.sub.4 = -0.954
h.sub.6 = -2.156
f = 1.0
NA = 0.5
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 56
Dependent Claim
75 words
A graded refractive index single lens system according to claim 47 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 1.022
R.sub.2 = 115.424
D = 1.272 n.sub.0 = 1.65
g = 0.500 h.sub.4 = -0.602
h.sub.6 = 0.441
f = 1.0
NA = 0.6
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 57
Dependent Claim
75 words
A graded refractive index single lens system according to claim 47 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 1.002
R.sub.2 = 4.042
D = 1.200 n.sub.0 = 1.65
g = 0.542 h.sub.4 = -0.844
h.sub.6 = -1.800
f = 1.0
NA = 0.6
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 58
Dependent Claim
75 words
A graded refractive index single lens system according to claim 47 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 1.039
R.sub.2 = 5.178
D = 1.320 n.sub.0 = 1.80
g = 0.417 h.sub.4 = -0.296
h.sub.6 = 5.302
f = 1.0
NA = 0.6
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 59
Dependent Claim
75 words
A graded refractive index single lens system according to claim 47 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 1.059
R.sub.2 = 2.671
D = 1.320 n.sub.0 = 1.80
g = 0.458 h.sub.4 = -0.854
h.sub.6 = 1.367
f = 1.0
NA = 0.6
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 60
Dependent Claim
75 words
A graded refractive index single lens system according to claim 47 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 1.060
R.sub.2 = 10.703
D = 1.320 n.sub.0 = 1.65
g = 0.521 h.sub.4 = -0.741
h.sub.6 = -0.911
f = 1.0
NA = 0.65
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 61
Dependent Claim
75 words
A graded refractive index single lens system according to claim 47 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 1.074
R.sub.2 = 3.970
D = 1.368 n.sub.0 = 1.80
g = 0.438 h.sub.4 = -0.682
h.sub.6 = -0.661
f = 1.0
NA = 0.65
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 62
Dependent Claim
122 words
A graded refractive index single lens system comprising at least one surface formed spherically, having refractive index n expressed by the formula shown below wherein n 0 represents the refractive index on the optical axis of said lens and r represents the radial distance from the optical axis, and satisfying the conditions (14) and (15) shown below: n.sup.2 =n.sub.0.sup.2 [1-(gr).sup.2 +h.sub.4 (gr).sup.4 +h.sub.6 (gr).sup.6 + . . . ] 1.54f<D (14) -4<(g-0.5)D (15) where g is a parameter representing the degree of the gradient of the refractive index distribution, h 4 and h 6 respectively represent the 4th- and 6th-order coefficients of said refractive index distribution, D represents the length of said lens and f represents the focal length of said lens.
Claim 63
Dependent Claim
122 words
A graded refractive index single lens system comprising at least one surface formed spherically, having refractive index n expressed by the formula shown below wherein n 0 represents the refractive index on the optical axis of said lens and r represents the radial distance from the optical axis, and satisfying the conditions (14) and (15) shown below: n.sup.2 =n.sub.0.sup.2 [1-(gr).sup.2 +h.sub.4 (gr).sup.4 +h.sub.6 (gr).sup.6 + . . . ] 1.54f<D (14) -4<(g-0.5)D (15) where g is a parameter representing the degree of the gradient of the refractive index distribution, h 4 and h 6 respectively represent the 4th- and 6th-order coefficients of said refractive index distribution, D represents the length of said lens and f represents the focal length of said lens.
Claim 64
Dependent Claim
75 words
A graded refractive index single lens system according to claim 5 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 1.697
R.sub.2 = -1.356
D = 1.56 n.sub.0 = 1.5
g = 0.583 h.sub.4 = 0.208
h.sub.6 = 1.640
f = 1.0
NA = 0.5
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 65
Dependent Claim
75 words
A graded refractive index single lens system according to claim 5 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 1.830
R.sub.2 = -1.518
D = 1.68 n.sub.0 = 1.65
g = 0.500 h.sub.4 = 0.530
h.sub.6 = 3.966
f = 1.0
NA = 0.5
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 66
Dependent Claim
75 words
A graded refractive index single lens system according to claim 5 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 2.195
R.sub.2 = -1.807
D = 1.92 n.sub.0 = 1.65
g = 0.542 h.sub.4 = 0.120
h.sub.6 = 0.561
f = 1.0
NA = 0.5
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 67
Dependent Claim
75 words
A graded refractive index single lens system according to claim 5 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 1.332
R.sub.2 = -2.166
D = 1.56 n.sub.0 = 1.8
g = 0.375 h.sub.4 = 1.755
h.sub.6 = 26.713
f = 1.0
NA = 0.5
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 68
Dependent Claim
75 words
A graded refractive index single lens system according to claim 5 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 1.657
R.sub.2 = -3.000
D = 1.80 n.sub.0 = 1.8
g = 0.458 h.sub.4 = -0.103
h.sub.6 = 1.743
f = 1.0
NA = 0.5
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 69
Dependent Claim
75 words
A graded refractive index single lens system according to claim 5 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 1.355
R.sub.2 = 1.906
D = 1.56 n.sub.0 = 1.5
g = 0.667 h.sub.4 = -0.415
h.sub.6 = -0.316
f = 1.0
NA = 0.6
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 70
Dependent Claim
75 words
A graded refractive index single lens system according to claim 5 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 1.500
R.sub.2 = -4.096
D = 1.62 n.sub.0 = 1.5
g = 0.625 h.sub.4 = -0.268
h.sub.6 = 0.024
f = 1.0
NA = 0.6
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 71
Dependent Claim
75 words
A graded refractive index single lens system according to claim 5 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 1.303
R.sub.2 = -374.044
D = 1.56 n.sub.0 = 1.65
g = 0.542 h.sub.4 = -0.570
h.sub.6 = -0.430
f = 1.0
NA = 0.6
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 72
Dependent Claim
75 words
A graded refractive index single lens system according to claim 5 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 1.771
R.sub.2 = -2.650
D = 1.80 n.sub.0 = 1.65
g = 0.542 h.sub.4 = -0.130
h.sub.6 = 0.446
f = 1.0
NA = 0.6
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 73
Dependent Claim
75 words
A graded refractive index single lens system according to claim 5 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 1.389
R.sub.2 = 2.792
D = 1.68 n.sub.0 = 1.8
g = 0.500 h.sub.4 = -0.747
h.sub.6 = -1.277
f = 1.0
NA = 0.6
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 74
Dependent Claim
75 words
A graded refractive index single lens system according to claim 5 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 1.322
R.sub.2 = -7.400
D = 1.62 n.sub.0 = 1.8
g = 0.438 h.sub.4 = -0.410
h.sub.6 = 1.969
f = 1.0
NA = 0.6
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 75
Dependent Claim
75 words
A graded refractive index single lens system according to claim 5 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 1.289
R.sub.2 = 47.625
D = 1.56 n.sub.0 = 1.65
g = 0.542 h.sub.4 = -0.601
h.sub.6 = -0.530
f = 1.0
NA = 0.7
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
Claim 76
Dependent Claim
75 words
A graded refractive index single lens system according to claim 5 wherein said graded refractive index single lens system has the following numerical data: ______________________________________
R.sub.1 = 1.233
R.sub.2 = 6.217
D = 1.56 n.sub.0 = 1.8
g = 0.458 h.sub.4 = -0.791
h.sub.6 = -0.991
f = 1.0
NA = 0.7
______________________________________ where R 1 and R 2 respectively represent the radii of curvatures of the incident side surface and the exit side surface.
References Cited (Backward Citations)
US3718383A
Cited
JPS556354A
Cited
JPS58122512A
Cited
US4457590A
Cited
JPS5962815A
Cited
JPH109456A
Cited
USPTO Annuity & Maintenance Windows
| Annuity Stage | Window Opens | Payment Deadline | Surcharge Period Until | Estimated Fee | Status |
|---|---|---|---|---|---|
| 3.5 Years (Year 4) | 1990-10-19 | 1991-04-20 | 1991-10-20 | $2000.00 | Window Closed / Lapsed |
| 7.5 Years (Year 8) | 1994-10-19 | 1995-04-20 | 1995-10-20 | $3760.00 | Window Closed / Lapsed |
| 11.5 Years (Year 12) | 1998-10-19 | 1999-04-20 | 1999-10-20 | $7700.00 | Window Closed / Lapsed |