Claims Analysis
Total Claims: 6
Claim 1
Independent Claim
427 words
An optical lens of transparent optical material, useful for the correction of presbyopia, having a convex aspheric front surface which is a nonaxial portion of a surface of revolution having an apical cusp, all meridian sections of said convex lens surface being identical elliptical arcs with the least curved portion of the elliptical arc in the upper portion of the lens, all sections of said convex lens surface other than those sections normal to the axis of revolution being noncircular, the axis of revolution of said convex surface coinciding with a straight portion of a modified evolute of said elliptical arc determined by first determining a series of modified evolutes by adding for each modified evolute to be determined a different fixed increment of curvature units to the value of the curvature at each point along said ellipse and using the reciprocals of said sums at each point as distances measured along normals from each of said points of said ellipse toward said modified evolute as the locus of each said modified evolute, then taking a base curve point on said ellipse corresponding to the vertical elliptical meridian in the upper part of the lens, for far vision, and selecting an add point in the lower part of the lens, for reading, corresponding to the added positive spherical power for the correction of a wearer''s presbyopia at a chord distance of predetermined length across said vertical elliptical meridian from said base curve point, then drawing normals from said Base curve point and from said add point through all of said modified evolutes, and finally selecting that modified evolute which is substantially a straight line between said two last named normals, so that said surface is characterized by having a substantially constant difference in principal curvatures at all points along all meridian sections providing a substantially constant astigmatism at all points on said surface, with the transmeridional power being greater than the meridional power, while both principal curvatures along any elliptical arc meridian section change continuously and regularly and by substantially equal amounts to provide an accelerating surface, said lens having a negatively curved back surface optically coacting with said front surface, there being a common normal to both surfaces through the geometrical center of the front aspheric surface and through the midpoint of said chord, said back surface at least neutralizing said constant astigmatism of the front surface at the common normal, and the difference in dioptric powers between said base curve and add points being the added power required for the correction of the wearer''s presbyopia.
Claim 2
Dependent Claim
427 words
An optical lens of transparent optical material, useful for the correction of presbyopia, having a convex aspheric front surface which is a nonaxial portion of a surface of revolution having an apical cusp, all meridian sections of said convex lens surface being identical elliptical arcs with the least curved portion of the elliptical arc in the upper portion of the lens, all sections of said convex lens surface other than those sections normal to the axis of revolution being noncircular, the axis of revolution of said convex surface coinciding with a straight portion of a modified evolute of said elliptical arc determined by first determining a series of modified evolutes by adding for each modified evolute to be determined a different fixed increment of curvature units to the value of the curvature at each point along said ellipse and using the reciprocals of said sums at each point as distances measured along normals from each of said points of said ellipse toward said modified evolute as the locus of each said modified evolute, then taking a base curve point on said ellipse corresponding to the vertical elliptical meridian in the upper part of the lens, for far vision, and selecting an add point in the lower part of the lens, for reading, corresponding to the added positive spherical power for the correction of a wearer''s presbyopia at a chord distance of predetermined length across said vertical elliptical meridian from said base curve point, then drawing normals from said Base curve point and from said add point through all of said modified evolutes, and finally selecting that modified evolute which is substantially a straight line between said two last named normals, so that said surface is characterized by having a substantially constant difference in principal curvatures at all points along all meridian sections providing a substantially constant astigmatism at all points on said surface, with the transmeridional power being greater than the meridional power, while both principal curvatures along any elliptical arc meridian section change continuously and regularly and by substantially equal amounts to provide an accelerating surface, said lens having a negatively curved back surface optically coacting with said front surface, there being a common normal to both surfaces through the geometrical center of the front aspheric surface and through the midpoint of said chord, said back surface at least neutralizing said constant astigmatism of the front surface at the common normal, and the difference in dioptric powers between said base curve and add points being the added power required for the correction of the wearer''s presbyopia.
Claim 3
Dependent Claim
52 words
A lens as defined in claim 1 wherein said lens back surface is negatively curved with a radius of curvature approximately 8 mm. less than the transmeridional radius of curvature of the aspheric convex surface at its geometrical center, the thickness of the lens along the common normal being approximately 8 mm.
Claim 4
Dependent Claim
277 words
A lens as defined in claim 1 wherein said back surface is toric and negatively curved in both principal meridians, said normal coinciding with an equatorial axis of symmetry of the toric surface, the principal directions of the back toric surface and the front aspheric surface coinciding along the common normal to both surfaces, the astigmatism of the back surface neutralizing that resulting from the front surface at the common normal, there being a minimum of unneutralized astigmatism away from the common normal for light rays in a plane containing the common normal and a meridian of the front aspheric surface and a principal meridian of the back surface, there being astigmatism for light rays through the lens at points lateral to said plane with principal directions at 45* and 135* to said plane, the amount of said astigmatism increasing with increasing lateral distance of said points from said plane, the amount of astigmatism, V, in diopters for a given distance h, in meters from said plane, at the level of point P(a, b) along the elliptical arc meridian section of the front aspheric surface contained in said plane, being: where a is the coordinate of the point P(a, b) on the elliptical arc in the direction of the semimajor axis of the ellipse, OA, of length A, and b is the coordinate of the point P(a, b) on the elliptical arc in the direction of the semiminor axis of the ellipse, OB, of length B, all distances being measured in meters, the origin of the Cartesian coordinates being the point 0 at the geometrical center of the ellipse, said lens being of usual spectacle lens thickness.
Claim 5
Dependent Claim
189 words
A lens as defined in claim 1 wherein said back surface is toric and negatively curved in both principal meridians, said normal coinciding with an equatorial axis of symmetry of the toric surface, the principal directions of the back toric surface and the front aspheric surface being noncoinciding along the common normal to both surfaces, the toric back surface being mathematically resolvable into two components: (1) an astigmatic component neutralizing that of the front aspheric surface at the common normal and approximately neutralizing the astigmatism for points along the meridian section of the front aspheric surface intersected by the common normal, and (2) a sphero-cylindrical component in which, when the meridian of the front aspheric surface which contAins the normal to said surface at its geometrical center is oriented vertically in front of the eye, the cylinder portion and its axis found in this component is that of a patient''s prescription, and the spherical portions of said sphero-cylindrical component is that of the patient''s prescription to which has been added the negative of the dioptric power at the base curve point, said lens being of usual spectacle lens thickness.
Claim 6
Dependent Claim
24 words
A lens as defined in claim 1 wherein the excess of said transmeridional over said meridional power at a given level is 1.00 diopter.