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.
A PROCESS OF CONSTRUCTING SURFACES HAVING COMPOUND OPTICAL CURVATURE FOR A VARIBLE ASTIGMATIC LENS COPRISING THE STEPS OF PROVIDING PAIRED UPPER AND LOWER HOLLOW CYLINDERS HAVING SIDEWALLS WITH A HALLOW INTERIOR THERE BETWEEN, FORMING ON EACH SAID CYLINDER SIDEWALL WITH RESPECT TO A PLANE TAKEN NORMAL TO THE AXES OF GENERATION OF SAID CYLINDER A WALL HEGHT H ALONG THE SIDES OF SAID CYLINDER, SAID WALL HEIGHT H BEING DEFINED BY THE TERMS: H = A((X**3/3) - XY**2) + G WHEREIN: X REPRESENTS THE DISPLACEMENT ON A CARTESIAN COORDINATE SYSTEM FROM THE AXIS OF GENERATION OF THE CYLINDER TO THE WALL HEIGHT OF THE CYLINDER, Y REPRESENTS THE DISPLACEMENT ON A CARTESIAN COORDINATE SYSTEM WHEREIN Y IS AN AXIS SUBSTANTIALLY NORMAL TO SAID X AXIS AND TO THE AXIS OF GENERATION OF SAID CYLINDER, A IS A CONSTANT REPRESENTING LENS POWER VARIATION, G IS A CONSTANT CONTROLLING THE MAXIMUM DESIRED CYLINDER HEIGHT, AND H IS THE WALL HEIGHT BETWEEN A PLANE NORMAL TO THE AXES OF GENERATION OF SAID CYLINDER AND THE FORMED WALL HEIGHT ON SAID CYLINDER, AND, INCLUDING THE FURTHER STEPS OF CONFRONTING SAID CYLINDERS IN AN ORIENTATION WHEREIN THE RIDGES ON ONE CYLINDER ARE ALIGNED TO THE VALLEYS ON THE ADJACENT CONFRONTING CYLINDERS, DISPOSING A PIECE OF DEFORMABLE PLASTIC MATERIAL THEREBETWEEN HAVING PLANAR INTERFACES DISPOSED TOWARDS EACH OF SAID CYLINDERS, AND, MOVING SAID CYLINDERS TOWARDS ONE ANOTHER INTO COOPERATIVE CONTACT WITH SAID MATERIAL, IN THE PRESENCE OF HEAT TO PRODUCE A DEPTH FORMATION OF SAID MATERIAL BY PERMANENTLY DEFORMING SAID MATERIAL TO THE CONFRINTED RIDGES AND VALLEYS OF SAID CONFRONTED CYLINDERS WITHOUT DESTROYING SAID INTERFACES.
Claim 2
Dependent Claim
268 words
A PROCESS OF CONSTRUCTING SURFACES HAVING COMPOUND OPTICAL CURVATURE FOR A VARIBLE ASTIGMATIC LENS COPRISING THE STEPS OF PROVIDING PAIRED UPPER AND LOWER HOLLOW CYLINDERS HAVING SIDEWALLS WITH A HALLOW INTERIOR THERE BETWEEN, FORMING ON EACH SAID CYLINDER SIDEWALL WITH RESPECT TO A PLANE TAKEN NORMAL TO THE AXES OF GENERATION OF SAID CYLINDER A WALL HEGHT H ALONG THE SIDES OF SAID CYLINDER, SAID WALL HEIGHT H BEING DEFINED BY THE TERMS: H = A((X**3/3) - XY**2) + G WHEREIN: X REPRESENTS THE DISPLACEMENT ON A CARTESIAN COORDINATE SYSTEM FROM THE AXIS OF GENERATION OF THE CYLINDER TO THE WALL HEIGHT OF THE CYLINDER, Y REPRESENTS THE DISPLACEMENT ON A CARTESIAN COORDINATE SYSTEM WHEREIN Y IS AN AXIS SUBSTANTIALLY NORMAL TO SAID X AXIS AND TO THE AXIS OF GENERATION OF SAID CYLINDER, A IS A CONSTANT REPRESENTING LENS POWER VARIATION, G IS A CONSTANT CONTROLLING THE MAXIMUM DESIRED CYLINDER HEIGHT, AND H IS THE WALL HEIGHT BETWEEN A PLANE NORMAL TO THE AXES OF GENERATION OF SAID CYLINDER AND THE FORMED WALL HEIGHT ON SAID CYLINDER, AND, INCLUDING THE FURTHER STEPS OF CONFRONTING SAID CYLINDERS IN AN ORIENTATION WHEREIN THE RIDGES ON ONE CYLINDER ARE ALIGNED TO THE VALLEYS ON THE ADJACENT CONFRONTING CYLINDERS, DISPOSING A PIECE OF DEFORMABLE PLASTIC MATERIAL THEREBETWEEN HAVING PLANAR INTERFACES DISPOSED TOWARDS EACH OF SAID CYLINDERS, AND, MOVING SAID CYLINDERS TOWARDS ONE ANOTHER INTO COOPERATIVE CONTACT WITH SAID MATERIAL, IN THE PRESENCE OF HEAT TO PRODUCE A DEPTH FORMATION OF SAID MATERIAL BY PERMANENTLY DEFORMING SAID MATERIAL TO THE CONFRINTED RIDGES AND VALLEYS OF SAID CONFRONTED CYLINDERS WITHOUT DESTROYING SAID INTERFACES.
Claim 3
Dependent Claim
47 words
The process of claim 1 and wherein said disposed piece of deformable plastic material between said confronted cylinders is a piece of transparent optical material and including the further step of cutting and polishing said lens material along a plane between but not through said optic interfaces.