Simultaneous vision optical lens for correcting presbyopia
First Claim
1. Progressive simultaneous vision optical lens for correcting presbyopia in which the curve representing its proximity P defined as the reciprocal in diopters of the distance D at which a light ray parallel to and at a distance h from its axis crosses the axis after passing through the lens lies within an area between a lower envelope curve Pinf and an upper envelope curve Psup defined by nth and hth degree polynomials and satisfying the following equations:
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space="preserve" listing-type="equation">P.sub.inf =f(h) =(Σ
A'"'"'.sub.i h.sup.i)+P.sub.VL
space="preserve" listing-type="equation">P.sub.sup =f(h)=(Σ
A".sub.i h.sup.i)+P.sub.VL (I)in which PVL is the proximity needed for far vision and A'"'"'i, A"i are the coefficients of the various polynomials depending on the value of the proximity addition δ
1 =ADD corresponding to the degree of presbyopia of the wearer, the values of these coefficients being substantially as follows;
space="preserve" listing-type="tabular">______________________________________ for A.sub.DD = 1.5 D;
A'"'"'0 = 12.532267 A"0 = 16.9452 A'"'"'1 = -92.695892 A"1 = -106.8394 A'"'"'2 = 305.16919 A"2 = 302.62347 A'"'"'3 = -513.44922 A"3 = -443.97601 A'"'"'4 = 476.63852 A"4 = 362.53815 A'"'"'5 = -247.99097 A"5 = -166.29979 A'"'"'6 = 67.868942 A"6 = 40.015385 A'"'"'7 = -7.6131396 A"7 = -3.9203446 for A.sub.DD = 2 D;
A'"'"'0 = 23.56555 A"0 = 14.368889 A'"'"'1 = -182.77804 A"1 = -87.219223 A'"'"'2 = 605.05684 A"2 = 244.35987 A'"'"'3 = -1 024.1053 A"3 = -337.92626 A'"'"'4 = 962.99613 A"4 = 241.37509 A'"'"'5 = -511.24120 A"5 = -85.757212 A'"'"'6 = 143.7355 A"6 = 12.008102 A'"'"'7 = -16.663562 for A.sub.DD = 2.5 D;
A'"'"'0 = -28.307575 A"0 = 2.874459 A'"'"'1 = 190.37743 A"1 = 11.541159 A'"'"'2 = -445.545294 A"2 = -35.715782 A'"'"'3 = 512.44763 A"3 = 37.849808 A'"'"'4 = -315.3125 A"4 = -19.0199096 A'"'"'5 = 99.678413 A"5 = 4.2867818 A'"'"'6 = -12.731333 A"6 = -0.28934118 for A.sub.DD = 3 D;
A'"'"'0 = 22.19555 A"0 = 57.071102 A'"'"'1 = -157.74065 A"1 = -357.09277 A'"'"'2 = 529.74104 A"2 = 1 000.8899 A'"'"'3 = -918.56382 A"3 = -1 509.5112 A'"'"'4 = 881.73279 A"4 = 1 311.576 A'"'"'5 = -475.73774 A"5 = -657.94254 A'"'"'6 = 135.48897 A"6 = 177.01095 A'"'"'7 = -15.888513 A"7 = -19.763759 ______________________________________ and, for possible intermediate additions whose value δ
is between two above-mentioned addition values δ
1 and δ
1 +0.5, the envelope curves of these intermediate additions are deduced from the envelope curves corresponding to δ
1 and δ
1 +0.5 by the equations;
##EQU3##
1 Assignment
0 Petitions
Accused Products
Abstract
The proximity P of a simultaneous vision optical lens for correcting presbyopia is defined as the reciprocal of the distance D at which a light ray parallel to and at a distance h from its axis crosses the axis after passing through the lens. The curve representing the proximity P of the lens lies between a lower envelope curve Pinf and an upper envelope curve Psup satisfying the following equations:
P.sub.inf =f(h)=(ΣA'"'"'.sub.i h.sup.i)+P.sub.VL
P.sub.sup =f(h)=(ΣA".sub.i h.sup.i)+P.sub.VL
in which PVL is the proximity for distant vision and A'"'"'i, A"i are numeric coefficients depending on the proximity addition added for near vision to the proximity for far vision. The lens may be implemented as a contact lens, an intra-ocular implant or an intra-corneal lens.
88 Citations
5 Claims
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1. Progressive simultaneous vision optical lens for correcting presbyopia in which the curve representing its proximity P defined as the reciprocal in diopters of the distance D at which a light ray parallel to and at a distance h from its axis crosses the axis after passing through the lens lies within an area between a lower envelope curve Pinf and an upper envelope curve Psup defined by nth and hth degree polynomials and satisfying the following equations:
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space="preserve" listing-type="equation">P.sub.inf =f(h) =(Σ
A'"'"'.sub.i h.sup.i)+P.sub.VL
space="preserve" listing-type="equation">P.sub.sup =f(h)=(Σ
A".sub.i h.sup.i)+P.sub.VL (I)in which PVL is the proximity needed for far vision and A'"'"'i, A"i are the coefficients of the various polynomials depending on the value of the proximity addition δ
1 =ADD corresponding to the degree of presbyopia of the wearer, the values of these coefficients being substantially as follows;
space="preserve" listing-type="tabular">______________________________________ for A.sub.DD = 1.5 D;
A'"'"'0 = 12.532267 A"0 = 16.9452 A'"'"'1 = -92.695892 A"1 = -106.8394 A'"'"'2 = 305.16919 A"2 = 302.62347 A'"'"'3 = -513.44922 A"3 = -443.97601 A'"'"'4 = 476.63852 A"4 = 362.53815 A'"'"'5 = -247.99097 A"5 = -166.29979 A'"'"'6 = 67.868942 A"6 = 40.015385 A'"'"'7 = -7.6131396 A"7 = -3.9203446 for A.sub.DD = 2 D;
A'"'"'0 = 23.56555 A"0 = 14.368889 A'"'"'1 = -182.77804 A"1 = -87.219223 A'"'"'2 = 605.05684 A"2 = 244.35987 A'"'"'3 = -1 024.1053 A"3 = -337.92626 A'"'"'4 = 962.99613 A"4 = 241.37509 A'"'"'5 = -511.24120 A"5 = -85.757212 A'"'"'6 = 143.7355 A"6 = 12.008102 A'"'"'7 = -16.663562 for A.sub.DD = 2.5 D;
A'"'"'0 = -28.307575 A"0 = 2.874459 A'"'"'1 = 190.37743 A"1 = 11.541159 A'"'"'2 = -445.545294 A"2 = -35.715782 A'"'"'3 = 512.44763 A"3 = 37.849808 A'"'"'4 = -315.3125 A"4 = -19.0199096 A'"'"'5 = 99.678413 A"5 = 4.2867818 A'"'"'6 = -12.731333 A"6 = -0.28934118 for A.sub.DD = 3 D;
A'"'"'0 = 22.19555 A"0 = 57.071102 A'"'"'1 = -157.74065 A"1 = -357.09277 A'"'"'2 = 529.74104 A"2 = 1 000.8899 A'"'"'3 = -918.56382 A"3 = -1 509.5112 A'"'"'4 = 881.73279 A"4 = 1 311.576 A'"'"'5 = -475.73774 A"5 = -657.94254 A'"'"'6 = 135.48897 A"6 = 177.01095 A'"'"'7 = -15.888513 A"7 = -19.763759 ______________________________________and, for possible intermediate additions whose value δ
is between two above-mentioned addition values δ
1 and δ
1 +0.5, the envelope curves of these intermediate additions are deduced from the envelope curves corresponding to δ
1 and δ
1 +0.5 by the equations;
##EQU3## - View Dependent Claims (2, 3, 4, 5)
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Specification