Aspheric lens series

Claim 2

A series of ophthalmic lenses having vertex powers extending over a range including 10 to 16 diopters wherein each lens of said series has a concave ocular surface and a convex rotationally symmetrical aspheric front surface, said ocular and front surfaces being aligned along an optical axis of said lens and said front surface being defined by the equation Z=AR.sup.2 +DR.sup.4 +ER.sup.6 +FR.sup.8 +GR.sup.10 wherein Z is the distance parallel to the lens optical axis from the vertex of said front surface to any point on said front surface; R is the perpendicular distance from said optical axis to said point on said front surface and A,D,E,F and G are aspheric coefficients selected to afford lens features including: avoidance of zero-edge thickness; provision of optimum shallowness of ocular surface curvature for close fitting to user's eye; maximized optical performance throughout a central field of view of at least 60°; and adaptability to direct prescription-finished casting.

Claim 3

A series of ophthalmic lenses according to claim 1 wherein said selection of said aspheric coefficients for maximum optical performance provides for tangential power error in each lens of substantially no greater than 0.25 diopters over all parts of a central field of 60° for a center of rotation distance of 23 mm.

Claim 4

A series of ophthalmic lenses having vertex powers extending over a range including 10 to 16 diopters wherein each lens of said series has a concave ocular surface and a convex rotationally symmetrical aspheric front surface, said ocular and front surfaces being aligned along an optical axis of said lens and said front surface being defined by the equation Z=AR.sup.2 +DR.sup.4 +ER.sup.6 +FR.sup.8 +GR.sup.10 wherein Z is the distance parallel to the lens optical axis from the vertex of said front surface to any point on said front surface; R is the perpendicular distance from said optical axis to said point on said front surface and A, D, E, F and G are aspheric coefficients selected to afford lens features including: avoidance of zero-edge thickness; provision of optimum shallowness of ocular surface curvature for close fitting to user's eye; maximized optical performance throughout a central field of view of at least 60°; and adaptability to direct prescription-finished casting; said aspheric coefficients having approximately the values taken from the following table: __________________________________________________________________________ ASPH ASPHERIC COEFFICIENTS BASE A D E F G __________________________________________________________________________ 10.00 1.10632 × 10.sup.-2 6.29539 × 10.sup.-7 -1.67629 × 10.sup.-9 1.02592 × 10.sup.-11 -1.68744 × 10.sup.-14 10.50 1.14659 × 10.sup.-2 6.29539 × 10.sup.-7 -5.42420 × 10.sup.-10 6.77477 × 10.sup.-12 -1.30897 × 10.sup.-14 11.00 1.18786 × 10.sup.-2 6.29539 × 10.sup.-7 5.91442 × 10.sup.-10 3.29033 × .sup.-12 -9.28702 × 10.sup.-15 11.50 1.23150 × 10.sup.-2 6.29539 × 10.sup.-7 3.98467 × 10.sup.-10 7.04316 × 10.sup.-12 -1.60567 × 10.sup.-14 12.00 1.27490 × 10.sup.-2 6.29539 × 10.sup.-7 2.05492 × 10.sup.-10 1.07960 × 10.sup.-11 -2.28264 × 10.sup.-14 12.50 1.31806 × 10.sup.-2 7.85654 × 10.sup.-7 2.83754 × 10.sup.-10 1.14007 × 10.sup.-11 -2.56596 × 10.sup.-14 13.00 1.36099 × 10.sup.-2 9.41769 × 10.sup.-7 3.62016 × 10.sup.-10 1.20054 × 10.sup.-11 -2.84928 × 10.sup.-14 13.50 1.39461 × 10.sup.-2 1.05656 × 10.sup.-6 1.01270 × 10.sup.-9 9.88025 × 10.sup.-12 -2.54608 × 10.sup.-14 14.00 1.42972 × 10.sup.-2 1.17136 × 10.sup.-6 1.66339 × 10.sup.-9 7.75510 × 10.sup.-12 -2.24288 × 10.sup.-14 14.50 1.46813 × 10.sup.-2 1.28124 × 10.sup.-6 1.82120 × 10.sup.-9 8.38095 × 10.sup.-12 -2.38066 × 10.sup.-14 15.00 1.50448 × 10.sup.-2 1.39112 × 10.sup.-6 1.97901 × 10.sup.-9 9.01109 × 10.sup.-12 -2.51844 × 10.sup.-14 15.50 1.54484 × 10.sup.-2 1.63060 × 10.sup.- 6 9.12271 × 10.sup.-10 1.43122 × 10.sup.-11 -3.25552 × 10.sup.-14 16.00 1.58495 × 10.sup.-2 1.87007 × 10.sup.-6 -1.54467 × 10.sup.-10 1.96134 × 10.sup.-11 -3.99260 × 10.sup.-14 __________________________________________________________________________

Claim 5

A series of ophthalmic lenses having vertex powers extending over a range including 10 to 16 diopters wherein each lens of said series has a concave ocular surface and a convex rotationally symmetrical aspheric front surface, said ocular and front surfaces being aligned along an optical axis of said lens and said front surface being defined by the equation Z=AR.sup.2 +DR.sup.4 +ER.sup.6 +FR.sup.8 +GR.sup.10 wherein Z is the distance parallel to the lens optical axis from the vertex of said front surface to any point on said front surface; R is the perpendicular distance from said optical axis to said point on said front surface and A, D, E, F and G are aspheric coefficients selected to afford lens features including: avoidance of zero-edge thickness; provision of optimum shallowness of ocular surface curvature for close fitting to user's eye; maximized optical performance throughout a central field of view of at least 60°; and adaptability to direct prescription-finished casting; said aspheric coefficients having approximately the values taken from the following table: __________________________________________________________________________ ASPH ASPHERIC COEFFICIENTS BASE A D E F G __________________________________________________________________________ 10.00 1.10632 × 10.sup.-2 6.29539 × 10.sup.-7 -1.67629 × 10.sup.-9 1.02592 × 10.sup.-11 -1.68744 × 10.sup.-14 10.50 1.14659 × 10.sup.-2 6.29539 × 10.sup.-7 -5.42420 × 10.sup.-10 6.77477 × 10.sup.-12 -1.30897 × 10.sup.-14 11.00 1.18786 × 10.sup.-2 6.29539 × 10.sup.-7 5.91442 × 10.sup.-10 3.29033 × .sup.-12 -9.28702 × 10.sup.-15 11.50 1.23150 × 10.sup.-2 6.29539 × 10.sup.-7 3.98467 × 10.sup.-10 7.04316 × 10.sup.-12 -1.60567 × 10.sup.-14 12.00 1.27490 × 10.sup.-2 6.29539 × 10.sup.-7 2.05492 × 10.sup.-10 1.07960 × 10.sup.-11 -2.28264 × 10.sup.-14 12.50 1.31806 × 10.sup.-2 7.85654 × 10.sup.-7 2.83754 × 10.sup.-10 1.14007 × 10.sup.-11 -2.56596 × 10.sup.-14 13.00 1.36099 × 10.sup.-2 9.41769 × 10.sup.-7 3.62016 × 10.sup.-10 1.20054 × 10.sup.-11 -2.84928 × 10.sup.-14 13.50 1.39461 × 10.sup.-2 1.05656 × 10.sup.-6 1.01270 × 10.sup.-9 9.88025 × 10.sup.-12 -2.54608 × 10.sup.-14 14.00 1.42972 × 10.sup.-2 1.17136 × 10.sup.-6 1.66339 × 10.sup.-9 7.75510 × 10.sup.-12 -2.24288 × 10.sup.-14 14.50 1.46813 × 10.sup.-2 1.28124 × 10.sup.-6 1.82120 × 10.sup.-9 8.38095 × 10.sup.-12 -2.38066 × 10.sup.-14 15.00 1.50448 × 10.sup.-2 1.39112 × 10.sup.-6 1.97901 × 10.sup.-9 9.01109 × 10.sup.-12 -2.51844 × 10.sup.-14 15.50 1.54484 × 10.sup.-2 1.63060 × 10.sup.- 6 9.12271 × 10.sup.-10 1.43122 × 10.sup.-11 -3.25552 × 10.sup.-14 16.00 1.58495 × 10.sup.-2 1.87007 × 10.sup.-6 -1.54467 × 10.sup.-10 1.96134 × 10.sup.-11 -3.99260 × 10.sup.-14 __________________________________________________________________________

Claim 6

A series of ophthalmic lenses according to claim 3 wherein for center of rotation distance of approximately 23 mm, tangential power error in each lens is substantially no greater than 0.25 diopter over said central field of view of approximately 60 degrees.

Claim 7

An ophthalmic lens having a concave ocular surface and a convex rotationally symmetrical aspheric front surface, said ocular and front surfaces being aligned along an optical axis and said front surface being defined by the equation Z=AR.sup.2 +DR.sup.4 +ER.sup.6 +FR.sup.8 +GR.sup.10 wherein Z is the distance parallel to the lens optical axis from the vertex of said front surface to any point on said front surface; R is the perpendicular distance from said optical axis to said point on said front surface; and A, D, E, F and G are aspheric coefficients selected to afford lens features including: avoidance of zero-edge thickness; provision of optimum shallowness of ocular surface curvature for close fitting to user's eye; maximized optical performance throughout a central field of view of at least 60°; and adaptability to direct prescription-finished casting.

Claim 8

An ophthalmic lens having a concave ocular surface and a convex rotationally symmetrical aspheric front surface, said ocular and front surfaces being aligned along an optical axis and said front surface being defined by the equation Z=AR.sup.2 +DR.sup.4 +ER.sup.6 +FR.sup.8 +GR.sup.10 wherein Z is the distance parallel to the lens optical axis from the vertex of said front surface to any point on said front surface; R is the perpendicular distance from said optical axis to said point on said front surface; and A, D, E, F and G are aspheric coefficients selected to afford lens features including: avoidance of zero-edge thickness; provision of optimum shallowness of ocular surface curvature for close fitting to user's eye; maximized optical performance throughout a central field of view of at least 60°; and adaptability to direct prescription-finished casting.

Claim 9

An ophthalmic lens according to claim 5 wherein said selection of said aspheric coefficients for maximum optical performance provides for tangential power error in said lens of substantially no greater than 0.25 diopters over all parts of a central field of approximately 60° for a center of rotation distance of approximately 23 mm.

Claim 10

An ophthalmic lens having a concave ocular surface and a convex rotationally symmetrical aspheric front surface, said ocular and front surfaces being aligned along an optical axis and said front surface being defined by the equation Z=AR.sup.2 +DR.sup.4 +ER.sup.6 +FR.sup.8 +GR.sup.10 wherein Z is the distance parallel to the lens optical axis from the vertex of said front surface to any point on said front surface; R is the perpendicular distance from said optical axis to said point on said front surface; and A, D, E, F and G are aspheric coefficients selected to afford lens features including: avoidance of zero-edge thickness; provision of optimum shallowness of ocular surface curvature for close fitting to user's eye; maximized optical performance throughout a central field of view of at least 60°; and adaptability to direct prescription-finished casting; said aspheric coefficients having approximately the values taken from the following table: __________________________________________________________________________ ASPH ASPHERIC COEFFICIENTS BASE A D E F G __________________________________________________________________________ 10.00 1.10632 × 10.sup.-2 6.29539 × 10.sup.-7 -1.67629 × 10.sup.-9 1.02592 × 10.sup.-11 -1.68744 × 10.sup.-14 10.50 1.14659 × 10.sup.-2 6.29539 × 10.sup.-7 -5.42420 × 10.sup.-10 6.77477 × 10.sup.-12 -1.30897 × 10.sup.-14 11.00 1.18786 × 10.sup.-2 6.29539 × 10.sup.-7 5.91442 × 10.sup.-10 3.29033 × 10.sup.-12 -9.28702 × 10.sup.-15 11.50 1.23150 × 10.sup.-2 6.29539 × 10.sup.-7 3.98467 × 10.sup.-10 7.04316 × 10.sup.-12 -1.60567 × 10.sup.-14 12.00 1.27490 × 10.sup.-2 6.29539 × 10.sup.-7 2.05492 × 10.sup.-10 1.07960 × 10.sup.-11 -2.28264 × 10.sup.-14 12.50 1.31806 × 10.sup.-2 7.85654 × 10.sup.-7 2.83754 × 10.sup.-10 1.14007 × 10.sup.-11 -2.56596 × 10.sup.-14 13.00 1.36099 × 10.sup.-2 9.41769 × 10.sup.-7 3.62016 × 10.sup.-10 1.20054 × 10.sup.-11 -2.84928 × 10.sup.-14 13.50 1.39461 × 10.sup.-2 1.05656 × 10.sup.-6 1.01270 × 10.sup.-9 9.88025 × 10.sup.-12 -2.54608 × 10.sup.-14 14.00 1.42972 × 10.sup.-2 1.17136 × 10.sup.-6 1.66339 × 10.sup.-9 7.75510 × 10.sup.-12 -2.24288 × 10.sup.-14 14.50 1.46813 × 10.sup.-2 1.28124 × 10.sup.-6 1.82120 × 10.sup.-9 8.38095 × 10.sup.-12 -2.38066 × 10.sup.-14 15.00 1.50448 × 10.sup.-2 1.39112 × 10.sup.-6 1.97901 × 10.sup.-9 9.01109 × 10.sup.-12 -2.51844 × 10.sup.-14 15.50 1.54484 × 10.sup.-2 1.63060 × 10.sup.-6 9.12271 × 10.sup.-10 1.43122 × 10.sup.-11 -3.25552 × 10.sup.-14 16.00 1.58495 × 10.sup.-2 1.87007 × 10.sup.-6 -1.54467 × 10.sup.-10 1.96134 × 10.sup.-11 -3.99260 × 10.sup.-14 __________________________________________________________________________

Claim 11

An ophthalmic lens having a concave ocular surface and a convex rotationally symmetrical aspheric front surface, said ocular and front surfaces being aligned along an optical axis and said front surface being defined by the equation Z=AR.sup.2 +DR.sup.4 +ER.sup.6 +FR.sup.8 +GR.sup.10 wherein Z is the distance parallel to the lens optical axis from the vertex of said front surface to any point on said front surface; R is the perpendicular distance from said optical axis to said point on said front surface; and A, D, E, F and G are aspheric coefficients selected to afford lens features including: avoidance of zero-edge thickness; provision of optimum shallowness of ocular surface curvature for close fitting to user's eye; maximized optical performance throughout a central field of view of at least 60°; and adaptability to direct prescription-finished casting; said aspheric coefficients having approximately the values taken from the following table: __________________________________________________________________________ ASPH ASPHERIC COEFFICIENTS BASE A D E F G __________________________________________________________________________ 10.00 1.10632 × 10.sup.-2 6.29539 × 10.sup.-7 -1.67629 × 10.sup.-9 1.02592 × 10.sup.-11 -1.68744 × 10.sup.-14 10.50 1.14659 × 10.sup.-2 6.29539 × 10.sup.-7 -5.42420 × 10.sup.-10 6.77477 × 10.sup.-12 -1.30897 × 10.sup.-14 11.00 1.18786 × 10.sup.-2 6.29539 × 10.sup.-7 5.91442 × 10.sup.-10 3.29033 × 10.sup.-12 -9.28702 × 10.sup.-15 11.50 1.23150 × 10.sup.-2 6.29539 × 10.sup.-7 3.98467 × 10.sup.-10 7.04316 × 10.sup.-12 -1.60567 × 10.sup.-14 12.00 1.27490 × 10.sup.-2 6.29539 × 10.sup.-7 2.05492 × 10.sup.-10 1.07960 × 10.sup.-11 -2.28264 × 10.sup.-14 12.50 1.31806 × 10.sup.-2 7.85654 × 10.sup.-7 2.83754 × 10.sup.-10 1.14007 × 10.sup.-11 -2.56596 × 10.sup.-14 13.00 1.36099 × 10.sup.-2 9.41769 × 10.sup.-7 3.62016 × 10.sup.-10 1.20054 × 10.sup.-11 -2.84928 × 10.sup.-14 13.50 1.39461 × 10.sup.-2 1.05656 × 10.sup.-6 1.01270 × 10.sup.-9 9.88025 × 10.sup.-12 -2.54608 × 10.sup.-14 14.00 1.42972 × 10.sup.-2 1.17136 × 10.sup.-6 1.66339 × 10.sup.-9 7.75510 × 10.sup.-12 -2.24288 × 10.sup.-14 14.50 1.46813 × 10.sup.-2 1.28124 × 10.sup.-6 1.82120 × 10.sup.-9 8.38095 × 10.sup.-12 -2.38066 × 10.sup.-14 15.00 1.50448 × 10.sup.-2 1.39112 × 10.sup.-6 1.97901 × 10.sup.-9 9.01109 × 10.sup.-12 -2.51844 × 10.sup.-14 15.50 1.54484 × 10.sup.-2 1.63060 × 10.sup.-6 9.12271 × 10.sup.-10 1.43122 × 10.sup.-11 -3.25552 × 10.sup.-14 16.00 1.58495 × 10.sup.-2 1.87007 × 10.sup.-6 -1.54467 × 10.sup.-10 1.96134 × 10.sup.-11 -3.99260 × 10.sup.-14 __________________________________________________________________________

Claim 12

An ophthalmic lens according to claim 7 wherein for center of rotation distance of approximately 23 mm, tangential power error is substantially no greater than 0.25 diopter over said central field of view of approximately 60 degrees.