Multifocal ophthalmic lenses with spherical aberration varying with the addition and the ametropia

• US 6,145,987 A
• Filed: 12/16/1998
• Issued: 11/14/2000
• Est. Priority Date: 12/16/1997
• Status: Expired due to Fees

• Current Assignee: Essilor International Compagnie Generale D Optique (Essilor International SA)
• Original Assignee: Essilor International Compagnie Generale D Optique (Essilor International SA)
• Inventors: Baude, Dominique, Chateau, Nicolas
• Primary Examiner(s): Sugarman, Scott J.
• Application Number:
  US09/212,956
• Time in Patent Office: 699 Days
• Field of Search: 351/168, 351/169, 351/170, 351/171, 351/172, 351/177
• US Class Current: 351/169
• CPC Class Codes: G02C 7/042 Simultaneous type
• CPC Class Codes: G02C 7/044 Annular configuration, e.g. pupil tuned

Abstract

A multifocal ophthalmic lens is disclosed. The power profile (P) of the lens as a function of the height (h) above the axis (A) of the lens and the addition (Add) corresponding to the degree of presbyopia of the wearer is defined by an equation of the form:

P(h)=f(P.sub.VL, Add, h)+C(Add, P.sub.VL)h.sup.2 +B(Add, P.sub.VL)

in which P_VL is the power required for far vision, f is a function of evolution between the near vision and far vision powers, C(Add, P_VL) is a spherical aberration correction coefficient depending on the addition and on the far vision power and B(Add, P_VL) is a power correction coefficient depending on the spherical aberration coefficient.

Claims

1. A multifocal ophthalmic lens, wherein the power profile (P) in diopters of the lens as a function of the height (h) in millimeters above the axis (A) of said lens and the addition (Add) in diopters corresponding to the degree of presbyopia and of ametropia of the wearer is defined by an equation of the form:

space="preserve" listing-type="equation">P(h)=f(P.sub.VL, Add, h)+C(Add, P.sub.VL)h.sup.2 +B(Add, P.sub.VL)

in which P_VL is the power in diopters required for far vision, f is a function of evolution between the near vision and far vision powers, C(Add, P_VL) is a spherical aberration correction coefficient in diopters/mm² depending on the addition and on the far vision power and B(Add, P_VL) is a power correction coefficient depending on the spherical aberration coefficient in diopters.

2. The lens claimed in claim 1 wherein said function f of evolution between near vision and far vision is between lower and upper envelope curves of polynomial form:

##EQU7## in which the coefficients A'"'"'_2i and A"_2i are characteristics of the power evolution profile of said lens.

3. The lens claimed in claim 2 wherein said function f of evolution between near vision and far vision is of polynomial form:

##EQU8## in which the coefficients A_2i are characteristics of the power evolution profile of said lens.

4. The lens claimed in claim 2 wherein said coefficients A'"'"'_2i and A"_2i have the following values:

for an addition of 1 diopter;

space="preserve" listing-type="tabular">______________________________________ A'"'"'.sub.0 = 1.26386 A".sub.0 = 1.52644 A'"'"'.sub.2 = -1.18598 A".sub.2 = -1.09482 A'"'"'.sub.4 = 0.378518 A".sub.4 = 0.30171 A'"'"'.sub.6 = -5.42691 E-02 A".sub.6 = -2.93378 E-02 A'"'"'.sub.8 = 2.33828 E-03 A".sub.8 = -2.07609 E-03 A'"'"'.sub.10 = 3.15445 E-04 A".sub.10 = 7.8769 E-04 A'"'"'.sub.12 = -5.07438 E-05 A".sub.12 = -8.21244 E-05 A'"'"'.sub.14 = 3.0475 E-06 A".sub.14 = 4.31529 E-06 A'"'"'.sub.16 = -8.76962 E-08 A".sub.16 = -1.16223 E-07 A'"'"'.sub.18 = 1.00265 E-09 A".sub.18 = 1.27688 E-09 ______________________________________

for an addition of 1.5 diopters;

space="preserve" listing-type="tabular">______________________________________ A'"'"'.sub.0 = 2.00339 A".sub.0 = 2.27713 A'"'"'.sub.2 = -2.31133 A".sub.2 = -1.66479 A'"'"'.sub.4 = 1.01658 A".sub.4 = 0.587462 A'"'"'.sub.6 = -0.240056 A".sub.6 = -0.121375 A'"'"'.sub.8 = 0.0337422 A".sub.8 = 0.0159218 A'"'"'.sub.10 = -2.94537 E-03 A".sub.10 = -1.35879 E-03 A'"'"'.sub.12 = 1.60394 E-04 A".sub.12 = 7.49086 E-05 A'"'"'.sub.14 = -5.26619 E-06 A".sub.14 = -2.56358 E-06 A'"'"'.sub.16 = 9.45037 E-08 A".sub.16 = 4.93594 E-08 A'"'"'.sub.18 = -7.02035 E-10 A".sub.18 = -4.07302 E-10 ______________________________________

for an addition of 2 diopters;

space="preserve" listing-type="tabular">______________________________________ A'"'"'.sub.0 = 2.70216 A".sub.0 = 3.44464 A'"'"'.sub.2 = -3.40589 A".sub.2 = -3.6967 A'"'"'.sub.4 = 1.78475 A".sub.4 = 1.84759 A'"'"'.sub.6 = -0.519481 A".sub.6 = -0.518458 A'"'"'.sub.8 = 0.091493 A".sub.8 = 0.0885806 A'"'"'.sub.10 = -0.0100987 A".sub.10 = -9.53119 E-03 A'"'"'.sub.12 = 7.01081 E-04 A".sub.12 = 6.4772 E-04 A'"'"'.sub.14 = -2.96764 E-05 A".sub.14 = -2.69337 E-05 A'"'"'.sub.16 = 6.98897 E-07 A".sub.16 = 6.24925 E-07 A'"'"'.sub.18 = -7.01343 E-09 A".sub.18 = -6.19319 E-09 ______________________________________

for an addition of 2.5 diopters;

space="preserve" listing-type="tabular">______________________________________ A'"'"'.sub.0 = 3.65783 A".sub.0 = 4.15706 A'"'"'.sub.2 = -4.66652 A".sub.2 = -3.96025 A'"'"'.sub.4 = 2.37082 A".sub.4 = 1.76854 A'"'"'.sub.6 = -0.658545 A".sub.6 = -0.460714 A'"'"'.sub.8 = 0.110848 A".sub.8 = 0.0760187 A'"'"'.sub.10 = -0.0117773 A".sub.10 = -0.00812867 A'"'"'.sub.12 = 7.93256 E-04 A".sub.12 = 5.588 E-04 A'"'"'.sub.14 = -3.28028 E-05 A".sub.14 = -2.37071 E-05 A'"'"'.sub.16 = 7.58865 E-07 A".sub.16 = 5.63779 E-07 A'"'"'.sub.18 = -7.5126 E-09 A".sub.18 = -5.73387 E-09 ______________________________________

for an addition of 3 diopters;

space="preserve" listing-type="tabular">______________________________________ A'"'"'.sub.0 = 4.18598 A".sub.0 = 4.55351 A'"'"'.sub.2 = -4.08044 A".sub.2 = -2.98119 A'"'"'.sub.4 = 1.58434 A".sub.4 = 0.86432 A'"'"'.sub.6 = -0.326707 A".sub.6 = -0.138653 A'"'"'.sub.8 = 0.0389326 A".sub.8 = 0.0130732 A'"'"'.sub.10 = -0.00270978 A".sub.10 = -0.000693297 A'"'"'.sub.12 = 1.02597 E-04 A".sub.12 = 1.52301 E-05 A'"'"'.sub.14 = -1.49759 E-06 A".sub.14 = 2.83552 E-07 A'"'"'.sub.16 = -1.82264 E-08 A".sub.16 = -2.196 E-08 A'"'"'.sub.18 = 6.18332 E-10 A".sub.18 = 3.32106 E-10. ______________________________________

5. The lens claimed in claim 3 wherein said coefficients A_2i have the following values:

for an addition of 1 diopter;

space="preserve" listing-type="tabular">______________________________________ A.sub.0 = 1.40165 A.sub.2 = -1.13539 A.sub.4 = 0.337241 A.sub.6 = -0.0427423 A.sub.8 = 0.000829968 A.sub.10 = 0.000404834 A.sub.12 = -5.12825 E-05 A.sub.14 = 2.83764 E-06 A.sub.16 = -7.76449 E-08 A.sub.18 = 8.54866 E-10 ______________________________________

for an addition of 1.5 diopters;

space="preserve" listing-type="tabular">______________________________________ A.sub.0 = 2.14261 A.sub.2 = -1.99105 A.sub.4 = 0.820412 A.sub.6 = -0.194111 A.sub.8 = 0.0288185 A.sub.10 = -0.00277165 A.sub.12 = 1.72369 E-04 A.sub.14 = -6.68299 E-06 A.sub.16 = 1.46703 E-07 A.sub.18 = -1.39113 E-09 ______________________________________

for an addition of 2 diopters;

space="preserve" listing-type="tabular">______________________________________ A.sub.0 = 3.04879 A.sub.2 = -3.4244 A.sub.4 = 1.71421 A.sub.6 = -0.485038 A.sub.8 = 0.084004 A.sub.10 = -0.00918407 A.sub.12 = 6.3438 E-04 A.sub.14 = -2.67926 E-05 A.sub.16 = 6.30643 E-07 A.sub.18 = -6.33178 E-09 ______________________________________

for an addition of 2.5 diopters;

space="preserve" listing-type="tabular">______________________________________ A.sub.0 = 3.84715 A.sub.2 = -3.95474 A.sub.4 = 1.64138 A.sub.6 = -0.363149 A.sub.8 = 0.0473992 A.sub.10 = -0.00378685 A.sub.12 = 1.84073 E-04 A.sub.14 = -5.15076 E-06 A.sub.16 = 7.14489 E-08 A.sub.18 = -3.10284 E-10 ______________________________________

for an addition of 3 diopters;

space="preserve" listing-type="tabular">______________________________________ A.sub.0 = 4.36815 A.sub.2 = -3.4584 A.sub.4 = 1.1305 A.sub.6 = -0.19309 A.sub.8 = 0.0177447 A.sub.10 = -7.20108 E-04 A.sub.12 = -1.08962 E-05 A.sub.14 = 2.33913 E-06 A.sub.16 = -8.82046 E-08 A.sub.18 = 1.14025 E-09. ______________________________________

6. The lens claimed in claim 2 wherein said coefficients A'"'"'_2i and A"_2i have the following values:

for an addition of 1 diopter;

space="preserve" listing-type="tabular">______________________________________ A'"'"'.sub.0 = 1.14955 A".sub.0 = 1.79188 A'"'"'.sub.2 = -2.17834 A".sub.2 = -2.14906 A'"'"'.sub.4 = 1.44086 A".sub.4 = 1.26337 A'"'"'.sub.6 = -0.488471 A".sub.6 = -0.40226 A'"'"'.sub.8 = 0.0952055 A".sub.8 = 0.0752613 A'"'"'.sub.10 = -0.0112687 A".sub.10 = -0.00864155 A'"'"'.sub.12 = 0.00082252 A".sub.12 = 0.00061569 A'"'"'.sub.14 = -3.61421 E-05 A".sub.14 = -2.65189 E-05 A'"'"'.sub.16 = 8.76009 E-07 A".sub.16 = 6.32021 E-07 A'"'"'.sub.18 = -8.99323 E-09 A".sub.18 = -6.39553 E-09 ______________________________________

for an addition of 1.5 diopters;

space="preserve" listing-type="tabular">______________________________________ A'"'"'.sub.0 = 1.93369 A".sub.0 = 2.59533 A'"'"'.sub.2 = -3.67534 A".sub.2 = -3.36181 A'"'"'.sub.4 = 2.52397 A".sub.4 = 2.00313 A'"'"'.sub.6 = -0.881948 A".sub.6 = -0.647982 A'"'"'.sub.8 = 0.176071 A".sub.8 = 0.123858 A'"'"'.sub.10 = -0.021241 A".sub.10 = -0.0145608 A'"'"'.sub.12 = 0.00157429 A".sub.12 = 0.00106184 A'"'"'.sub.14 = -7.0039 E-05 A".sub.14 = -4.67412 E-05 A'"'"'.sub.16 = 1.71503 E-06 A".sub.16 = 1.13627 E-06 A'"'"'.sub.18 = -1.77574 E-08 A".sub.18 = -1.17047 E-08 ______________________________________

for an addition of 2 diopters;

space="preserve" listing-type="tabular">______________________________________ A'"'"'.sub.0 = 2.71988 A".sub.0 = 3.39246 A'"'"'.sub.2 = -4.97264 A".sub.2 = -4.33763 A'"'"'.sub.4 = 3.29933 A".sub.4 = 2.42641 A'"'"'.sub.6 = -1.11911 A".sub.6 = -0.724383 A'"'"'.sub.8 = 2.18396 E-01 A".sub.8 = 1.27534 E-01 A'"'"'.sub.10 = -2.58999 E-02 A".sub.10 = -1.38799 E-02 A'"'"'.sub.12 = 1.89471 E-03 A".sub.12 = 9.43994 E-04 A'"'"'.sub.14 = -8.34455 E-05 A".sub.14 = -3.90499 E-05 A'"'"'.sub.16 = 2.02699 E-06 A".sub.16 = 8.98394 E-07 A'"'"'.sub.18 = -2.0852 E-08 A".sub.18 = -8.81296 E-09 ______________________________________

for an addition of 2.5 diopters;

space="preserve" listing-type="tabular">______________________________________ A'"'"'.sub.0 = 3.78586 A".sub.0 = 4.61931 A'"'"'.sub.2 = -6.68361 A".sub.2 = -5.52909 A'"'"'.sub.4 = 4.37851 A".sub.4 = 2.85006 A'"'"'.sub.6 = -1.47553 A".sub.6 = -7.89562 E-01 A'"'"'.sub.8 = 2.86712 E-01 A".sub.8 = 1.29997 E-01 A'"'"'.sub.10 = -3.38913 E-02 A".sub.10 = -1.33166 E-02 A'"'"'.sub.12 = 2.47294 E-03 A".sub.12 = 8.5695 E-04 A'"'"'.sub.14 = -1.08683 E-04 A".sub.14 = -3.36869 E-05 A'"'"'.sub.16 = 2.63544 E-06 A".sub.16 = 7.39168 E-07 A'"'"'.sub.18 = -2.70717 E-08 A".sub.18 = -6.93743 E-09 ______________________________________

for an addition of 3 diopters;

space="preserve" listing-type="tabular">______________________________________ A'"'"'.sub.0 = 4.19136 A".sub.0 = 5.0023 A'"'"'.sub.2 = -6.02347 A".sub.2 = -4.68276 A'"'"'.sub.4 = 3.41786 A".sub.4 = 1.78942 A'"'"'.sub.6 = -1.03877 A".sub.6 = -3.4488 E-01 A'"'"'.sub.8 = 1.8748 E-01 A".sub.8 = 3.48989 E-02 A'"'"'.sub.10 = -2.10043 E-02 A".sub.10 = -1.54767 E-03 A'"'"'.sub.12 = 1.47276 E-03 A".sub.12 = -2.11172 E-05 A'"'"'.sub.14 = -6.27956 E-05 A".sub.14 = 5.29538 E-06 A'"'"'.sub.16 = 1.48733 E-06 A".sub.16 = -2.09482 E-07 A'"'"'.sub.18 = -1.4996 E-08 A".sub.18 = 2.80655 E-09. ______________________________________

7. The lens claimed in claim 3 wherein said coefficients A_2i have the following values:

for an addition of 1 diopter;

space="preserve" listing-type="tabular">______________________________________ A.sub.0 = 1.3988 A.sub.2 = -2.16002 A.sub.4 = 1.33772 A.sub.6 = -0.432789 A.sub.8 = 0.0815423 A.sub.10 = -0.00941029 A.sub.12 = 6.73638 E-04 A.sub.14 = -2.91496 E-05 A.sub.16 = 6.97847 E-07 A.sub.18 = -7.09193 E-09 ______________________________________

for an addition of 1.5 diopters;

space="preserve" listing-type="tabular">______________________________________ A.sub.0 = 2.23308 A.sub.2 = -3.5289 A.sub.4 = 2.21463 A.sub.6 = -0.724956 A.sub.8 = 0.138094 A.sub.10 = -0.0160961 A.sub.12 = 1.1625 E-03 A.sub.14 = -5.06976 E-05 A.sub.16 = 1.22204 E-06 A.sub.18 = -1.24938 E-08 ______________________________________

for an addition of 2 diopters;

space="preserve" listing-type="tabular">______________________________________ A.sub.0 = 3.09333 A.sub.2 = -4.75114 A.sub.4 = 2.91364 A.sub.6 = -0.937834 A.sub.8 = 0.17649 A.sub.10 = -0.0203899 A.sub.12 = 1.46289 E-03 A.sub.14 = -6.34757 E-05 A.sub.16 = 1.52401 E-06 A.sub.18 = -1.55319 E-08 ______________________________________

for an addition of 2.5 diopters;

space="preserve" listing-type="tabular">______________________________________ A.sub.0 = 4.10909 A.sub.2 = -5.95027 A.sub.4 = 3.46877 A.sub.6 = -1.07452 A.sub.8 = 0.196608 A.sub.10 = -0.02225 A.sub.12 = 1.57197 E-03 A.sub.14 = -6.74164 E-05 A.sub.16 = 1.60406 E-06 A.sub.18 = -1.62318 E-08 ______________________________________

for an addition of 3 diopters;

space="preserve" listing-type="tabular">______________________________________ A.sub.0 = 4.60564 A.sub.2 = -5.23524 A.sub.4 = 2.45824 A.sub.6 = -0.630152 A.sub.8 = 0.0978757 A.sub.10 = -0.00961613 A.sub.12 = 6.01202 E-04 A.sub.14 = -2.31856 E-05 A.sub.16 = 5.0277 E-07 A.sub.18 = -4.68902 E-09. ______________________________________

8. The lens claimed in claim 2 wherein said coefficients A'"'"'_2i and A"_2i have the following values:

for an addition of 1 diopter;

space="preserve" listing-type="tabular">______________________________________ A'"'"'.sub.0 = 1.07286 A".sub.0 = 1.67495 A'"'"'.sub.2 = 0.320699 A".sub.2 = -0.186507 A'"'"'.sub.4 = -0.657171 A".sub.4 = -0.260694 A'"'"'.sub.6 = 0.255218 A".sub.6 = 0.109511 A'"'"'.sub.8 = -0.0490516 A".sub.8 = -0.0201114 A'"'"'.sub.10 = 0.0054899 A".sub.10 = 0.00210789 A'"'"'.sub.12 = -3.74632 E-04 A".sub.12 = -1.3458 E-04 A'"'"'.sub.14 = 1.53798 E-05 A".sub.14 = 5.1918 E-06 A'"'"'.sub.16 = -3.49417 E-07 A".sub.16 = -1.11489 E-07 A'"'"'.sub.10 = 3.37795 E-09 A".sub.18 = 1.02479 E-09 ______________________________________

for an addition of 1.5 diopters;

space="preserve" listing-type="tabular">______________________________________ A'"'"'.sub.0 = 1.52699 A".sub.0 = 2.04694 A'"'"'.sub.2 = -0.361839 A".sub.2 = 0.00504386 A'"'"'.sub.4 = -0.526959 A".sub.4 = -0.72156 A'"'"'.sub.6 = 0.311383 A".sub.6 = 0.332037 A'"'"'.sub.8 = -0.0753019 A".sub.8 = -0.0712913 A'"'"'.sub.10 = 0.00997776 A".sub.10 = 0.00875106 A'"'"'.sub.12 = -7.79578 E-04 A".sub.12 = -6.47787 E-04 A'"'"'.sub.14 = 3.58257 E-05 A".sub.14 = 2.85999 E-05 A'"'"'.sub.16 = -8.96048 E-07 A".sub.16 = -6.93668 E-07 A'"'"'.sub.18 = 9.41343 E-09 A".sub.18 = 7.11314 E-09 ______________________________________

for an addition of 2 diopters;

space="preserve" listing-type="tabular">______________________________________ A'"'"'.sub.0 = 2.0372 A".sub.0 = 2.51543 A'"'"'.sub.2 = -0.773797 A".sub.2 = -0.0956491 A'"'"'.sub.4 = -0.35122 A".sub.4 = -0814045 A'"'"'.sub.6 = 0.260538 A".sub.6 = 0.391545 A'"'"'.sub.8 = -0.0654291 A".sub.8 = -0.0867876 A'"'"'.sub.10 = 0.00874569 A".sub.10 = 0.0109575 A'"'"'.sub.12 = -6.83569 E-04 A".sub.12 = -8.31697 E-04 A'"'"'.sub.14 = 3.1335 E-05 A".sub.14 = 3.7539 E-05 A'"'"'.sub.16 = -7.81015 E-07 A".sub.16 = -9.28232 E-07 A'"'"'.sub.18 = 8.17476 E-09 A".sub.18 = 9.68034 E-09 ______________________________________

for an addition of 2.5 diopters;

space="preserve" listing-type="tabular">______________________________________ A'"'"'.sub.0 = 2.49526 A".sub.0 = 2.99351 A'"'"'.sub.2 = -0.982385 A".sub.2 = -0.486412 A'"'"'.sub.4 = -0.229961 A".sub.4 = -0.488394 A'"'"'.sub.6 = 0.201655 A".sub.6 = 0.244189 A'"'"'.sub.8 = -0.0503787 A".sub.8 = -0.0520116 A'"'"'.sub.10 = 6.62155 E-03 A".sub.10 = 6.29987 E-03 A'"'"'.sub.12 = -5.0929 E-04 A".sub.12 = -4.6243 E-04 A'"'"'.sub.14 = 2.30313 E-05 A".sub.14 = 2.03523 E-05 A'"'"'.sub.16 = -5.67689 E-07 A".sub.16 = -4.9403 E-07 A'"'"'.sub.18 = 5.88796 E-09 A".sub.18 = 5.08339 E-09 ______________________________________

for an addition of 3 diopters;

space="preserve" listing-type="tabular">______________________________________ A'"'"'.sub.0 = 3.20898 A".sub.0 = 3.74531 A'"'"'.sub.2 = -1.11419 A".sub.2 = -0.699573 A'"'"'.sub.4 = -0.36958 A".sub.4 = -0.525259 A'"'"'.sub.6 = 0.268856 A".sub.6 = 0.269972 A'"'"'.sub.8 = -0.0635023 A".sub.8 = -0.0572078 A'"'"'.sub.10 = 8.02594 E-03 A".sub.10 = 6.86483 E-03 A'"'"'.sub.12 = -5.97885 E-04 A".sub.12 = -4.99263 E-04 A'"'"'.sub.14 = 2.631 E-05 A".sub.14 = 2.17955 E-05 A'"'"'.sub.16 = -6.33313 E-07 A".sub.16 = -5.2544 E-07 A'"'"'.sub.18 = 6.43355 E-09 A".sub.18 = 5.37576 E-09 ______________________________________

9. The lens claimed in claim 3 wherein said coefficients A_2i have the following values:

for an addition of 1 diopter;

space="preserve" listing-type="tabular">______________________________________ A.sub.0 = 1.25812 A.sub.2 = 0.276651 A.sub.4 = -0.58639 A.sub.6 = 0.215821 A.sub.8 = -0.0389064 A.sub.10 = 4.06343 E-03 A.sub.12 = -2.57889 E-04 A.sub.14 = 9.82156 E-06 A.sub.16 = -2.06571 E-07 A.sub.18 = 1.84521 E-09 ______________________________________

for an addition of 1.5 diopters;

space="preserve" listing-type="tabular">______________________________________ A.sub.0 = 1.75922 A.sub.2 = -0.13939 A.sub.4 = -0.598726 A.sub.6 = 0.2945587 A.sub.8 = -0.0653998 A.sub.10 = 8.16835 E-03 A.sub.12 = -6.11438 E-04 A.sub.14 = 2.72016 E-05 A.sub.16 = -6.63346 E-07 A.sub.18 = 6.82951 E-09 ______________________________________

for an addition of 2 diopters;

space="preserve" listing-type="tabular">______________________________________ A.sub.0 = 2.27582 A.sub.2 = -0.311495 A.sub.4 = -0.747841 A.sub.6 = 0.398884 A.sub.8 = -0.0920375 A.sub.10 = 0.0118385 A.sub.12 = -9.05966 E-04 A.sub.14 = 4.10027 E-05 A.sub.16 = -1.01365 E-06 A.sub.18 = 1.0552 E-08 ______________________________________

for an addition of 2.5 diopters;

space="preserve" listing-type="tabular">______________________________________ A.sub.0 = 2.75097 A.sub.2 = -0.470951 A.sub.4 = -0.632494 A.sub.6 = 0.332472 A.sub.8 = -0.0741809 A.sub.10 = 9.2779 E-03 A.sub.12 = -6.94985 E-04 A.sub.14 = 3.09539 E-05 A.sub.16 = -7.56087 E-07 A.sub.18 = 7.79979 E-09 ______________________________________

for an addition of 3 diopters;

space="preserve" listing-type="tabular">______________________________________ A.sub.0 = 3.4754 A.sub.2 = -0.952351 A.sub.4 = -0.349482 A.sub.6 = 0.205687 A.sub.8 = -0.042057 A.sub.10 = 4.66255 E-03 A.sub.12 = -3.07085 E-04 A.sub.14 = 1.20246 E-05 A.sub.16 = -2.59016 E-07 A.sub.18 = 2.36646 E-09. ______________________________________

10. The lens claimed in claim 1 wherein said function f of evolution between near vision and far vision is of discontinuous form with at least two segments as a function of h:

space="preserve" listing-type="equation">f(P.sub.VL, Add, h)=P.sub.VL +Add for h≦

R and f(P.sub.VL, Add, h)=P.sub.VL for h>

R

where R is an internal area radius of said lens depending on the addition.

11. The lens claimed in claim 10 wherein said radius R has substantially the following values as a function of the addition (Add) expressed in diopters:

space="preserve" listing-type="tabular">______________________________________ for Add = 0.5 R = 1.39 ±

0.15 for Add = 0.75 R = 1.35 ±

0.15 for Add = 1 R = 1.32 ±

0.15 for Add = 1.25 R = 1.29 ±

0.15 for Add = 1.5 R = 1.27 ±

0.15 for Add = 1.75 R = 1.245 ±

0.15 for Add = 2 R = 1.225 ±

0.15 for Add = 2.25 R = 1.2 ±

0.15 for Add = 2.5 R = 1.17 ±

0.15 for Add = 2.75 R = 1.12 ±

0.15 for Add = 3 R = 1.06 ±

0.15 ______________________________________

and for the other values of said addition (Add) said radius R is obtained by interpolation or extrapolation.

12. The lens claimed in claim 1 wherein said coefficient C is within an area defined by the following lower and upper curves:

space="preserve" listing-type="equation">Cmin(Add, P.sub.VL)=-0.098 Add+0.02 P.sub.VL -0.15

space="preserve" listing-type="equation">Cmax(Add, P.sub.VL)=-0.0047 Add+0.02 P.sub.VL -0.0065

where P_VL is in the range -20 diopters to +20 diopters and Add is in the range 0.50 diopters to 4 diopters.

13. The lens claimed in claim 1 wherein said coefficient C is substantially defined by the following equation:

space="preserve" listing-type="equation">C(Add, P.sub.VL)=-0.051 Add+0.02 P.sub.VL -0.077.

14. The lens claimed in claim 1 wherein said power correction coefficient (B) is expressed as a function of the spherical aberration correction coefficient (C) substantially by the following equation:

space="preserve" listing-type="equation">When C≠

0, ##EQU9##

space="preserve" listing-type="equation">when C=0, B(Add, P.sub.VL)=0.