Lens systems for presbyopia
A family of ophthalmic lenses for correcting presbyopia meets constraints for distance vision, near vision, and disparity and may be designed according to a process that incorporates a merit function accounting for binocular visual performance.
1. A lens pair that satisfy a predetermined set of conditions, the lens pair conditions comprising:
D ≧− 1.0×ADD+0.53;
N ≧− 1.40×ADD; and
Δ ≦1.65×ADD−1.2,
wherein D is the mean of the monocular performance of the left and right eyes averaged over pupil size ranging from 2.5 to 6.0 mm in diameter for a distant object, N is the mean of the monocular performance of the left and right eyes averaged over pupil size ranging from 2.5 to 6.0 mm in diameter for a near object, Δ is the mean disparity in monocular performance between the left and right eyes averaged over pupil size ranging from 2.5 to 6.0 mm in diameter, and ADD is the extra plus power that an eye care professional determined is required for seeing up close.
2. A system of lenses that satisfy a predetermined set of following conditions, the lens pair conditions comprising:
D ≧− 1.0×ADD+0.53
N ≧− 1.40×ADD
Δ ≦1.65×ADD−1.2
wherein D is the mean of the monocular performance of the left and right eyes averaged over pupil size ranging from 2.5 to 6.0 mm in diameter for a distant object, N is the mean of the monocular performance of the left and right eyes averaged over pupil size ranging from 2.5 to 6.0 mm in diameter for a near object, Δ is the mean disparity in monocular performance between the left and right eyes averaged over pupil size ranging from 2.5 to 6.0 mm in diameter, and ADD is the extra plus power that an eye care professional determined is required for seeing up close.
3. The lens pair of claim 1 , wherein the pair is elected from a set of lenses to meet add needs from about +0.75 to about +2.50 diopters and range of distance powers from about −12.00 to about +8.00 diopters.
4. The lens pair of claim 1 , wherein at least one lens of the lens pair comprises a surface that is a continuous aspheric surface.
5. The lens pair of claim 1 , wherein at least one lens of the lens pair comprises a center-near design.
6. The lens pair of claim 1 , wherein at least one lens of the lens pair comprises a center distance design.
7. The lens pair of claim 1 , wherein at least one lens of the lens pair comprises a center distance design.
8. The lens pair of claim 1 , wherein in at least one lens of the lens pair has an aspheric surface.
9. A method for correcting presbyopia, comprising the steps of providing a first lens and a second lens to form a lens pair, wherein the first and second lens are selected from a family of lenses having following relationships:
D ≧− 1.0×ADD+0.53;
N ≧− 1.40×ADD; and
Δ ≦1.65×ADD−1.2,
wherein D is the mean of the monocular performance of the left and right eyes averaged over pupil size ranging from 2.5 to 6.0 mm in diameter for a distant object, N is the mean of the monocular performance of the left and right eyes averaged over pupil size ranging from 2.5 to 6.0 mm in diameter for a near object, Δ is the mean disparity in monocular performance between the left and right eyes averaged over pupil size ranging from 2.5 to 6.0 mm in diameter, and ADD is the extra plus power that an eye care professional determined is required for seeing up close.
10. The method of claim 9 wherein each lens has a power profile different from that of the other lens.
11. The method of claim 9 wherein the lens pair is elected from a set of lenses meeting an add need from about 0.75 to about 2.50 diopters and range of distance powers from about −12.00 to about +8.00 diopters.
12. The method of claim 9 , wherein at least one lens of the lens pair comprises a surface that is a continuous aspheric surface.
13. The method of claim 9 , wherein at least one lens of the lens pair comprises a center-near design.
14. The method of claim 9 , wherein at least one lens of the lens pair comprises a center distance design.
15. A system of lenses with each of the lens having a rotationally symmetric power profile of the following form:
P=P 0 +b+c 1 ·r in central zone for r≦r central ,
P=P 0 +c 2 ·r 2 in outer zone for r≧r outer ,
and P is described by a piecewise cubic Hermite interpolating polynomial in the transition region r central ≦r≦r outer where the constants P 0 , c 1 , c 2 , b, and the form of the piecewise cubic Hermite interpolating polynomial is different for each lens of the family of lenses,
b for the low, mid, and high lenses is progressively greater, varying from ˜0.1 D to 1.0 D,
P 0 is also progressively greater, varying from 0.25 D to 0.75 D, c 1 is small, with values from 0 to being slightly negative (−0.1 D/mm),
c 2 is approximately −0.08 D/mm 2 ,
r outer is or about 2.0 mm, and
r central is in the range of 0.2 to 1.0 mm.
16. The lenses of claim 15 , wherein the range of distance powers is from about −12.00 to about +8.00 diopters.
17. The lenses claim 15 , wherein at least one lens of the lens system comprises a surface that is a continuous aspheric surface.
18. The lenses of claim 15 , wherein at least one lens of the lens system comprises a center-near design.
19. The lenses of claim 15 , wherein at least one lens of the lens system comprises a center distance design.