US3751138A
Expired / Lapsed
US
⏱️ 0.0 years remaining
Variable anamorphic lens and method for constructing lens
Assignee: Allergan Humphrey
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Filing: 1972-03-16
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Granted: 1973-08-07
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Expires: 1992-03-16
Abstract
Abstract An anamorphic lens is disclosed which generates variable cylindrical lens power and variable cylindrical lens rotational alignment over incremental viewpoints chosen through its surface. Cylinder power and rotation is a function of the displacement distance and angle of a selected viewpoint segment from a neutral viewpoint segment through the lens. The disclosed lens element finds a preferred use in confronting relation to an identical lens element having complementary curvature. When identical lens elements are confronted, so as to provide an optical path of view through overlapping portions of the confronted lens elements, translational displacement of the confronted elements provides the same cylindrical lens power and cylindrical lens rotation over the entirety of the overlapped lens elements. Simplified methods of manufacturing the complex lens surface are disclosed.
Inventors
- 👤 W Humphrey
Bibliographic Details
Application Number
—
Jurisdiction
US
Data Source
google_patents
Last Synchronized
2026-10-26 17:54
CPC Classifications
B; B29; B29D; B29D11/00; B29D11/0074; B29D11/00855; G; G02; G02B; G02B13/00; G02B13/08; G02B3/00; G02B3/0081; G02B3/02; G02B3/04; G02C; G02C7/00; G02C7/02; G02C7/08; G02C7/081
Claims Analysis
Total Claims: 11
Claim 1
Independent Claim
115 words
A lens element comprising: transparent optical media having first and second optical interfaces with said transparent media disposed between said interfaces, the thickness of said optical media between said optical interfaces including a variation of effective optical thickness measured substantially orthogonal to an x, y Cartesian coordinate axis system disposed substantially parallel to said interfaces, said effective optical thickness variation defined by the terms: A ((x3/3) - xy2) wherein: x represents displacement on a Cartesian coordinate system substantially parallel to said optic axis; y represents displacement on a Cartesian coordinate system wherein said y axis is substantially normal to said x axis in said plane; and A is a constant representing the lens power variation.
Claim 2
Dependent Claim
115 words
A lens element comprising: transparent optical media having first and second optical interfaces with said transparent media disposed between said interfaces, the thickness of said optical media between said optical interfaces including a variation of effective optical thickness measured substantially orthogonal to an x, y Cartesian coordinate axis system disposed substantially parallel to said interfaces, said effective optical thickness variation defined by the terms: A ((x3/3) - xy2) wherein: x represents displacement on a Cartesian coordinate system substantially parallel to said optic axis; y represents displacement on a Cartesian coordinate system wherein said y axis is substantially normal to said x axis in said plane; and A is a constant representing the lens power variation.
Claim 3
Dependent Claim
113 words
A lens element comprising: transparent optical media having first and second optical interfaces with said transparent media disposed between said interfaces; the thickness of said optical media between said optical interfaces including a variation of effective optical thickness measured substantially orthogonal to a polar axis coordinate system disposed in a plane substantially parallel to said interfaces; said effective optical thickness variation defined by the terms: (Ar3/3) Cos 3 theta where: r is the radius of displacement in the polar coordinate system; theta is the angle of displacement in the polar coordinate system from a preselected 0 angular displacement; and A is a constant representing lens power variation per unit translation along the surface.
Claim 4
Dependent Claim
113 words
A lens element comprising: transparent optical media having first and second optical interfaces with said transparent media disposed between said interfaces; the thickness of said optical media between said optical interfaces including a variation of effective optical thickness measured substantially orthogonal to a polar axis coordinate system disposed in a plane substantially parallel to said interfaces; said effective optical thickness variation defined by the terms: (Ar3/3) Cos 3 theta where: r is the radius of displacement in the polar coordinate system; theta is the angle of displacement in the polar coordinate system from a preselected 0 angular displacement; and A is a constant representing lens power variation per unit translation along the surface.
Claim 5
Dependent Claim
171 words
A lens system comPrising: first and second lenses arranged in tandem one behind the other along an optic axis; each lens having first and second optical interfaces disposed sub-stantially normal to said optic axis with a transparent lens media disposed between said interfaces, the thickness of said optical media of each of said lenses including a variation of effective optical thickness measured substantially orthogonal to an x, y Cartesian coordinate axis system disposed substantially normal to the optic axis, said effective optical thickness variation for said first lens element defined by the terms: (+) A ((x3/3) - xy2) said effective optical thickness variation for said second lens element defined by the terms: (-) A ((x3/3) - xy2) wherein: x represents displacement on a Cartesian coordinate system substantially normal to said optic axis; y represents displacement on a Cartesian coordinate system wherein said y axis is substantially normal to said x axis in said plane; and A is a constant representing the lens power variation per unit translation over a lens surface.
Claim 6
Dependent Claim
171 words
A lens system comPrising: first and second lenses arranged in tandem one behind the other along an optic axis; each lens having first and second optical interfaces disposed sub-stantially normal to said optic axis with a transparent lens media disposed between said interfaces, the thickness of said optical media of each of said lenses including a variation of effective optical thickness measured substantially orthogonal to an x, y Cartesian coordinate axis system disposed substantially normal to the optic axis, said effective optical thickness variation for said first lens element defined by the terms: (+) A ((x3/3) - xy2) said effective optical thickness variation for said second lens element defined by the terms: (-) A ((x3/3) - xy2) wherein: x represents displacement on a Cartesian coordinate system substantially normal to said optic axis; y represents displacement on a Cartesian coordinate system wherein said y axis is substantially normal to said x axis in said plane; and A is a constant representing the lens power variation per unit translation over a lens surface.
Claim 7
Dependent Claim
27 words
The lens system according to claim 3 and including means for moving said first lens relative to said second lens orthogonally with respect to said optic axis.
Claim 8
Dependent Claim
156 words
A lens system comprising: first and second lenses arranged in tandem one behind the other along an optic axis; each lens having first and second optical interfaces disposed substantially normal to said optic axis with a transparent lens media disposed between said interfaces, the thickness of said optical media of each of said lenses including a variation of effective optical thickness measured substantially orthogonal to a polar coordinate system disposed substantially normal to the optic axis, said effective optical thickness variation for said fIrst means defined by the terms: (+) (Ar3/3) Cos 3 theta said effective optical thickness variation for said second lens element defined by the terms: (-) (Ar3/3) Cos 3 theta wherein: r is the radius of displacement of the polar coordinate system, theta is the angle of displacement of the polar coordinate system from a preselected 0 angular displacement; and A is a constant representing a lens power variation per unit of translation.
Claim 9
Dependent Claim
156 words
A lens system comprising: first and second lenses arranged in tandem one behind the other along an optic axis; each lens having first and second optical interfaces disposed substantially normal to said optic axis with a transparent lens media disposed between said interfaces, the thickness of said optical media of each of said lenses including a variation of effective optical thickness measured substantially orthogonal to a polar coordinate system disposed substantially normal to the optic axis, said effective optical thickness variation for said fIrst means defined by the terms: (+) (Ar3/3) Cos 3 theta said effective optical thickness variation for said second lens element defined by the terms: (-) (Ar3/3) Cos 3 theta wherein: r is the radius of displacement of the polar coordinate system, theta is the angle of displacement of the polar coordinate system from a preselected 0 angular displacement; and A is a constant representing a lens power variation per unit of translation.
Claim 10
Dependent Claim
201 words
An opthamological device comprising: at least one lens having first and second optical interfaces with transparent lens media therebetween, the maximum lens thickness variation being less than one-half the lens diameter, said lens having a thickness t parallel to an optic axis passing through said optical interfaces substantially normal thereto, said thickness substantially defined by the terms: A ((x3/3) - xy2 ) + Bx2 + Cxy + Dy2 + Ex + Fy + G wherein: x and y represent points on a rectangular coordinate system described substantially normal to said optic axis; A is a constant representing the rate of lens power variation across the surface; B is a coefficient representing a contribution to rates of prism power variation across the surface; C is a coefficient representing a contribution to rates of prism power variation across the surface; D is a coefficient representing a contribution to rates of prism power variation across the surface; E is a coefficient representing a contribution to rates of thickness variation across the surface; F is a coefficient representing a contribution to rates of thickness variation across the surface; and, G is a constant representing lens thickness at an optic axis intersecting the x, y axis.
Claim 11
Dependent Claim
201 words
An opthamological device comprising: at least one lens having first and second optical interfaces with transparent lens media therebetween, the maximum lens thickness variation being less than one-half the lens diameter, said lens having a thickness t parallel to an optic axis passing through said optical interfaces substantially normal thereto, said thickness substantially defined by the terms: A ((x3/3) - xy2 ) + Bx2 + Cxy + Dy2 + Ex + Fy + G wherein: x and y represent points on a rectangular coordinate system described substantially normal to said optic axis; A is a constant representing the rate of lens power variation across the surface; B is a coefficient representing a contribution to rates of prism power variation across the surface; C is a coefficient representing a contribution to rates of prism power variation across the surface; D is a coefficient representing a contribution to rates of prism power variation across the surface; E is a coefficient representing a contribution to rates of thickness variation across the surface; F is a coefficient representing a contribution to rates of thickness variation across the surface; and, G is a constant representing lens thickness at an optic axis intersecting the x, y axis.
References Cited (Backward Citations)
USPTO Annuity & Maintenance Windows
| Annuity Stage | Window Opens | Payment Deadline | Surcharge Period Until | Estimated Fee | Status |
|---|---|---|---|---|---|
| 3.5 Years (Year 4) | 1976-08-06 | 1977-02-05 | 1977-08-07 | $2000.00 | Window Closed / Lapsed |
| 7.5 Years (Year 8) | 1980-08-06 | 1981-02-05 | 1981-08-07 | $3760.00 | Window Closed / Lapsed |
| 11.5 Years (Year 12) | 1984-08-06 | 1985-02-05 | 1985-08-07 | $7700.00 | Window Closed / Lapsed |