Source: http://www.google.com/patents/US5530491?dq=inassignee:doubleclick
Timestamp: 2014-09-18 04:33:42
Document Index: 618275779

Matched Legal Cases: ['application No 89', 'application No 0', 'application No 0', 'application No 2', 'application No 2', 'application No 2']

Patent US5530491 - Simultaneous vision ophthalmic lens for correcting presbyopia and pair of ... - Google PatentsSearch Images Maps Play YouTube News Gmail Drive More »Sign in<nobr>Advanced Patent Search</nobr>PatentsTo define a far vision area and a near vision area in a simultaneous vision ophthalmic lens for correcting presbyopia, the curve representing the proximity as a function of the distance from the axis lies within an area between a lower envelope curve and an upper envelope curve with associated specific...http://www.google.com/patents/US5530491?utm_source=gb-gplus-sharePatent US5530491 - Simultaneous vision ophthalmic lens for correcting presbyopia and pair of ophthalmic lenses of this kind for the same wearerAdvanced Patent SearchPublication numberUS5530491 APublication typeGrantApplication numberUS 08/186,842Publication dateJun 25, 1996Filing dateJan 27, 1994Priority dateFeb 18, 1993Fee statusPaidAlso published asCA2115804A1, DE69400532D1, DE69400532T2, EP0611979A1, EP0611979B1Publication number08186842, 186842, US 5530491 A, US 5530491A, US-A-5530491, US5530491 A, US5530491AInventorsDominique Baude, Pierre MonteilOriginal AssigneeEssilor International Cie Generale D'optiqueExport CitationBiBTeX, EndNote, RefManPatent Citations (9), Referenced by (17), Classifications (10), Legal Events (10) External Links: USPTO, USPTO Assignment, EspacenetSimultaneous vision ophthalmic lens for correcting presbyopia and pair of ophthalmic lenses of this kind for the same wearerUS 5530491 AAbstract To define a far vision area and a near vision area in a simultaneous vision ophthalmic lens for correcting presbyopia, the curve representing the proximity as a function of the distance from the axis lies within an area between a lower envelope curve and an upper envelope curve with associated specific polynomial equations in which the coefficients depend on the proximity addition corresponding to the degree of presbyopia of the wearer. Either the far vision area or the near vision area is strengthened relative to the other, the corresponding surface areas SVL, SVP being related as follows:
for strengthened near vision:
1.8&#8806;SVL /SVP &#8806;3.6
and for strengthened far vision:
4.75&#8806;SVL /SVP Images(3) Claims(15)
There is claimed: 1. Simultaneous vision ophthalmic lens for correcting presbyopia wherein to define two distinct vision areas, a far vision area and a near vision area, the curve representing the proximity P as a function of the distance h from the axis lies within an area between a lower envelope curve Pinf and an upper envelope curve Psup with associated specific polynomial equations in which the coefficients depend on the proximity addition corresponding to the degree of presbyopia of the wearer, and either the far vision area or the near vision area is strengthened relative to the other, the corresponding far and near vision surface areas SVL, SVP being related as follows:for strengthened near vision: 1.8&#8806;SVL /SVP &#8806;3.6 and for strengthened far vision: 4.75&#8806;SVL /SVP 2. Ophthalmic lens according to claim 1 wherein the lower envelope curve Pinf and the upper envelope curve Psup for the proximity P satisfy the following polynomial equations: ##EQU4## in which PVL is the proximity needed for far vision.
3. Ophthalmic lens according to claim 2 wherein for a near vision area strengthened relative to the far vision area, the coefficients A'i and A"i have substantially the following values: ______________________________________for a proximity addition of 1.5 D:A'0 = 1.50491             A"0 = 2.04007A'1 = -1.38224 � 10-1             A"1 = 4.87097 � 10-2A'2 = -8.56090 � 10-1             A"2 = -7.56137 � 10-1A'3 = 4.77223 � 10-1             A"3 = 3.28870 � 10-1A'4 = -1.07980 � 10-1             A"4 = -6.18287 � 10-2A'5 = 1.12726 � 10-2             A"5 = 5.58413 � 10-3A'6 = -4.47482 � 10-4             A"6 = -1.98243 � 10-4for a proximity addition of 2 D:A'0 = 2.02242             A"0  = 2.48815A'1 = -6.40349 � 10-1             A"1 = 1.68157 � 10-1A'2 = -5.33753 � 10-1             A"2 = -1.19876A'3 = 3.45296 � 10-1             A"3 = 5.83726 � 10-1A'4 = -7.89597 � 10-2             A"4 = -1.24851 � 10-1A'5 = 8.16828 � 10-3             A"5 = 1.27178 � 10-2A'6 = -3.20478 � 10-4             A"6 = -5.00502 � 10-4for a proximity addition of 2.5 D:A'0 = 2.48274             A"0 = 2.97168A'1 = -8.68865 � 10-1             A"1 = -2.69412 � 10-1A'2 = -3.88790 � 10-1             A"2 = -8.19247 � 10-1A'3 = 2.79778 � 10-1             A"3 = 4.23097 � 10-1A'4 = -6.48836 � 10-2             A"4 = -9.28940 � 10-2A'5 = 6.77817 � 10-3             A"5 = 9.73358 � 10-3A'6 = -2.68852 � 10-4             A"6 = -3.94207 � 10-4for a proximity addition of 3 D:A'0 = 3.20707             A"0 = 3.72727A'1 = -1.13298             A"1 = -5.24234 � 10-1A'2 = -3.09307 � 10-1             A"2 = -7.92418 � 10-1A'.sub. 3 = 2.18484 � 10-1             A"3 = 4.14478 � 10-1A'4 = -4.43817 � 10-2             A"4 = -8.98178 � 10-2A'5 = 4.04925 � 10-3             A"5 = 9.32974 � 10-3A'6 = -1.42370 � 10-4             A"6 = -3.76612 � 10-4.______________________________________ 4. Ophthalmic lens according to claim 3 wherein the nominal curve Pnom representing the nominal proximity substantially satisfies the following equation: ##EQU5## with the following coefficient values, subject to the same conditions as previously:for a proximity addition of 1.5 D: A0 =1.74537 A1 =-1.41485�10-2 A2 =-7.74395�10-1 A3 =3.78836�10-1 A4 =-7.92805�10-2 A5 =7.88011�10-3 A6 =-3.03496�10-4 for a proximity addition of 2 D: A0 =2.25360 A1 =-9.83461�10-2 A2 =-1.05467 A3 =5.47912�10-1 A4 =-1.18670�10-1 A5 =1.20372�10-2 A6 =-4.68919�10-4 for a proximity addition of 2.5 D: A0 =2.72749 A1 =-2.39063�10-1 A2 =-9.80544�10-1 A3 =5.14985�10-1 A4 =-1.13158�10-1 A5 =1.17328�10-2 A6 =-4.68365�10-4 for a proximity addition of 3 D: A0 =3.47334 A1 =-9.73082�10-1 A2 =-2.97809�10-1 A3 =1.70028�10-1 A4 =-3.05735�10-2 A5 =2.58076�10-3 A6 =-8.78906�10-5 5. Ophthalmic lens according to claim 2 wherein for a far vision area strengthened relative to the near vision area the coefficients A'i and A"i have substantially the following values: ______________________________________for a proximity addition of 1.5 D:A'0 = 1.97385             A"0 = 2.61695A'1 = -4.02882             A"1 = -3.55654A'2 = 2.96745             A"2 = 2.28086A'3 = -1.08765             A"3 = -7.81238 � 10-1A'4 = 2.08906 � 10-1             A"4 = 1.46046 � 10-1A'5 = -2.00552 � 10-2             A"5 = -1.39278 � 10-2A'6 = 7.57585 � 10-4             A"6 = 5.27592 � 10-4for a proximity addition of 2 D:A'0 = 2.75706             A"0 = 3.39285A'1 = -5.32047             A"1 = -4.30158A'2 = 3.78466             A"2 = 2.36050A'3 = -1.34501             A"3 = -6.73486 � 10-1A'4 = 2.51944 � 10-1             A"4 = 1.05232 � 10-1A'5 = -2.37123 � 10-2             A"5 = -8.53634 � 10-3A'6 = 8.81836 � 10-4             A"6 = 2.81049 � 10-4for a proximity addition of 2.5 D:A'0 = 3.83883             A"0 = 4.62363A'1 = -7.19032             A"1 = -5.52815A'2 = 5.10383             A"2 = 2.82720A'3 = -1.81741             A"3 = -7.59493 � 10-1A'4 = 3.41628 � 10-1             A"4 = 1.13108 � 10.sup. -1A'5 = -3.22755 � 10-2             A"5 = -8.84934 � 10-3A'6 = 1.20462 � 10-3             A"6 = 2.83891 � 10-4for a proximity addition of 3 D:A'0 = 4.20262             A"0 = 4.97173A'1 = -6.12634             A"1 = -4.36934A'2 = 3.56706             A"2 = 1.30259A'3 = -1.09381             A"3 = -7.49894 � 10-2A'4 = 1.84148 � 10-1             A"4 = -3.14113 � 10-2A'5 = -1.60397 � 10-2             A"5 = 5.74923 � 10-3A'6 = 5.63484 � 10-4             A"6 = -2.84487 �  10-4______________________________________ 6. Ophthalmic lens according to claim 5 wherein the curve Pnom representing its nominal proximity substantially satisfies the equation: ##EQU6## with the coefficients having the following values given the same conditions as previously:for a proximity addition of 1.5 D: A0 =2.26107 A1 =-3.84574 A2 =2.68329 A3 =-9.50930�10-1 A4 =1.78502�10-1 A5 =-1.68366�10-2 A6 =6.26637�10-4 for a proximity addition of 2 D: A0 =3.11044 A1 =-4.89450 A2 =3.08637 A3 =-9.92432�10-1 A4 =1.71515�10-1 A5 =-1.51366�10-2 A6 =5.34658�10-4 for a proximity addition of 2.5 D: A0 =4.13733 A1 =-6.26355 A2 =3.96435 A3 =-1.30970 A4 =2.34695�10-1 A5 =-2.15039�10-2 A6 =7.86718�10-4 for a proximity addition of 3 D: A0 =4.61538 A1 =-5.21075 A2 =2.36892 A3 =-5.47711�10-1 A4 =6.70385�10-2 A5 =-4.04791�10-3 A6 =9.12504�10-5 7. Pair of matched ophthalmic lenses for the same wearer, one for correcting the vision of the left eye and the other for correcting the vision of the right eye, wherein at least one of said ophthalmic lens is a simultaneous vision ophthalmic lens for correcting presbyopia wherein to define two distinct vision areas, a far vision area and a near vision area, the curve representing the proximity P as a function of the distance h from the axis lies within an area between a lower envelope curve Pinf and an upper envelope curve Psup with associated specific polynomial equations in which the coefficients depend on the proximity addition corresponding to the degree of presbyopia of the wearer, and either the far vision area or the near vision area is strengthened relative to the other, the corresponding far and near vision surface areas SVL, SVP being related as follows:for strengthened near vision: 1.8&#8806;SVL /SVP &#8806;3.6 and for strengthened far vision: 4.75&#8806;SVL /SVP 8. Pair of ophthalmic lenses according to claim 7 wherein the other ophthalmic lens is a standard ophthalmic lens with equivalent near and far vision areas.
9. Pair of ophthalmic lenses according to claim 7 wherein the strengthened vision area is the same for both ophthalmic lenses.
10. Pair of ophthalmic lenses according to claim 7 wherein the strengthened vision area is the near vision area for one lens and the far vision area for the other lens.
11. Pair of ophthalmic lenses according to claim 7 wherein the lower envelope curve Pinf and the upper envelope curve Psup for the proximity P satisfy the following polynomial equations: ##EQU7## in which PVL is the proximity needed for far vision.
12. Pair of ophthalmic lenses according to claim 11 wherein for a near vision area strengthened relative to the far vision area, the coefficients A'i and A"i have substantially the following values: ______________________________________for a proximity addition of 1.5 D:A'0 = 1.50491             A"0 = 2.04007A'1 = -1.38224 � 10-1             A"1 = 4.87097 � 10-2A'2 = -8.56090 � 10-1             A"2 = -7.56137 � 10-1A'3 = 4.77223 � 10-1             A"3 = 3.28870 � 10-1A'4 = -1.07980 � 10-1             A"4 = -6.18287 � 10-2A'5 = 1.12726 � 10-2             A"5 = 5.58413 � 10-3A'6 = -4.47482 � 10-4             A"6 = -1.98243 � 10-4for a proximity addition of 2 D:A'0 = 2.02242             A"0  = 2.48815A'1 = -6.40349 � 10-1             A"1 = 1.68157 � 10-1A'2 = -5.33753 � 10-1             A"2 = -1.19876A'3 = 3.45296 � 10-1             A"3 = 5.83726 � 10-1A'4 = -7.89597 � 10-2             A"4 = -1.24851 � 10-1A'5 = 8.16828 � 10-3             A"5 = 1.27178 � 10-2A'6 = -3.20478 � 10-4             A"6 = -5.00502 � 10-4for a proximity addition of 2.5 D:A'0 = 2.48274             A"0 = 2.97168A'1 = -8.68865 � 10-1             A"1 = -2.69412 � 10-1A'2 = -3.88790 � 10-1             A"2 = -8.19247 � 10-1A'3 = 2.79778 � 10-1             A"3 = 4.23097 � 10-1A'4 = -6.48836 � 10-2             A"4 = -9.28940 � 10-2A'5 = 6.77817 � 10-3             A"5 = 9.73358 � 10-3A'6 = -2.68852 � 10-4             A"6 = -3.94207 � 10-4for a proximity addition of 3 D:A'0 = 3.20707             A"0 = 3.72727A'1 = -1.13298             A"1 = -5.24234 � 10-1A'2 = -3.09307 � 10-1             A"2 = -7.92418 � 10-1A'.sub. 3 = 2.18484 � 10-1             A"3 = 4.14478 � 10-1A'4 = -4.43817 � 10-2             A"4 = -8.98178 � 10-2A'5 = 4.04925 � 10-3             A"5 = 9.32974 � 10-3A'6 = -1.42370 � 10-4             A"6 = -3.76612 � 10-4.______________________________________ 13. Pair of ophthalmic lens according to claim 12 wherein the nominal curve Pnom representing the nominal proximity substantially satisfies the following equation: ##EQU8## with the following coefficient values, subject to the same conditions as previously:for a proximity addition of 1.5 D: A0 =1.74537 A1 =-1.41485�10-2 A2 =-7.74395�10-1 A3 =3.78836�10-1 A4 =-7.92805�10-2 A5 =7.88011�10-3 A6 =-3.03496�10-4 for a proximity addition of 2 D: A0 =2.25360 A1 =-9.83461�10-2 A2 =-1.05467 A3 =5.47912�10-1 A4 =-1.18670�10-1 A5 =1.20372�10-2 A6 =-4.68919�10-4 for a proximity addition of 2.5 D: A0 =2.72749 A1 =-2.39063�10-1 A2 =-9.80544�10-1 A3 =5.14985�10-1 A4 =-1.13158�10-1 A5 =1.17328�10-2 A6 =-4.68365�10-4 for a proximity addition of 3 D: A0 =3.47334 A1 =-9.73082�10-1 A2 =-2.97809�10-1 A3 =1.70028�10-1 A4 =-3.05735�10-2 A5 =2.58076�10-3 A6 =-8.78906�10-5 14. Pair of ophthalmic lens according to claim 11 wherein for a far vision area strengthened relative to the near vision area the coefficients A'i and A"i have substantially the following values: ______________________________________for a proximity addition of 1.5 D:A'0 = 1.97385             A"0 = 2.61695A'1 = -4.02882             A"1 = -3.55654A'2 = 2.96745             A"2 = 2.28086A'3 = -1.08765             A"3 = -7.81238 � 10-1A'4 = 2.08906 � 10-1             A"4 = 1.46046 � 10-1A'5 = -2.00552 � 10-2             A"5 = -1.39278 � 10-2A'6 = 7.57585 � 10-4             A"6 = 5.27592 � 10-4for a proximity addition of 2 D:A'0 = 2.75706             A"0 = 3.39285A'1 = -5.32047             A"1 = -4.30158A'2 = 3.78466             A"2 = 2.36050A'3 = -1.34501             A"3 = -6.73486 � 10-1A'4 = 2.51944 � 10-1             A"4 = 1.05232 � 10-1A'5 = -2.37123 � 10-2             A"5 = -8.53634 � 10-3A'6 = 8.81836 � 10-4             A"6 = 2.81049 � 10-4for a proximity addition of 2.5 D:A'0 = 3.83883             A"0 = 4.62363A'1 = -7.19032             A"1 = -5.52815A'2 = 5.10383             A"2 = 2.82720A'3 = -1.81741             A"3 = -7.59493 � 10-1A'4 = 3.41628 � 10-1             A"4 = 1.13108 � 10.sup. -1A'5 = -3.22755 � 10-2             A"5 = -8.84934 � 10-3A'6 = 1.20462 � 10-3             A"6 = 2.83891 � 10-4for a proximity addition of 3 D:A'0 = 4.20262             A"0 = 4.97173A'1 = -6.12634             A"1 = -4.36934A'2 = 3.56706             A"2 = 1.30259A'3 = -1.09381             A"3 = -7.49894 � 10-2A'4 = 1.84148 � 10-1             A"4 = -3.14113 � 10-2A'5 = -1.60397 � 10-2             A"5 = 5.74923 � 10-3A'6 = 5.63484 � 10-4             A"6 = -2.84487 �  10-4.______________________________________ 15. Pair of ophthalmic lens according to claim 14 wherein the curve Pnom representing its nominal proximity substantially satisfies the equation: ##EQU9## with the coefficients having the following values given the same conditions as previously:for a proximity addition of 1.5 D: A0 =2.26107 A1 =-3.84574 A2 =2.68329 A3 =-9.50930�10-1 A4 =1.78502�10-1 A5 =-1.68366�10-2 A6 =6.26637�10-4 for a proximity addition of 2 D: A0 =3.11044 A1 =-4.89450 A2 =3.08637 A3 =-9.92432�10-1 A4 =1.71515�10-1 A5 =-1.51366�10-2 A6 =5.34658�10-4 for a proximity addition of 2.5 D: A0 =4.13733 A1 =-6.26355 A2 =3.96435 A3 =-1.30970 A4 =2.34695�10-1 A5 =-2.15039�10-2 A6 =7.86718�10-4 for a proximity addition of 3 D: A0 =4.61538 A1 =-5.21075 A2 =2.36892 A3 =-5.47711�10-1 A4 =6.70385�10-2 A5 =-4.04791�10-3 A6 =9.12504�10-5 Description
BACKGROUND OF THE INVENTION Description of the Prior Art French patent application No 89 01417 (publication No 2 642 854) describes a simultaneous vision ophthalmic lens for which the curve representing the proximity as a function of the distance from the axis lies within an area between a lower envelope curve and an upper envelope curve associated with specific polynomial equations defining two distinct vision areas, a far vision area and a near vision area, with one or more intermediate vision areas between and continuous with them.
This ophthalmic lens can be implemented as a contact lens or an intraocular implant or an intracorneal lens and in practise has at least on aspherical side or incorporates an index gradient. It is more particularly intended for correcting presbyopia.
The parameters of the polynomial equations for the envelope curves of the curve representing its proximity depend closely on the proximity addition respective to the degree of presbyopia to be corrected.
In this French patent it is preferred that neither of the two far and near vision areas be larger than the other.
To this end the surface area SVL of the far vision area and the surface area SVP of the near vision area are related as follows:
SVL /SVP &#8807;3                               (I)
This is satisfactory in most cases.
In some cases, however, near vision or far vision performance is found to be insufficient.
SUMMARY OF THE INVENTION In one aspect the present invention consists in a simultaneous vision ophthalmic lens of the kind in which to define two distinct vision areas, one for far vision and the other for near vision, the curve representative of the proximity as a function of the distance from the axis lies within an area between a lower envelope curve and an upper envelope curve associated with specific polynomial equations, this ophthalmic lens being generally characterised in that either the far vision area or the near vision area is strengthened relative to the other, the respective surface areas SVL, SVP being related as follows:
1.8&#8806;SVL /SVP &#8806;3.6                  (II)
4.75&#8806;SVL /SVP                             (III)
In another aspect the invention consists in any matched pair of ophthalmic lenses for the same wearer, one for correcting the vision of the left eye and the other for correcting the vision of the right eye, in at least one of which lenses the near vision area or the far vision area is strengthened in this way relative to the other.
The ophthalmic lens with a strengthened vision area could be matched with a standard ophthalmic lens, i.e. an ophthalmic lens in which the near and far vision areas are equivalent.
Alternatively, it could be matched with an ophthalmic lens which also has a strengthened vision area, either the same vision area as itself or the other vision area.
This has the advantage of providing the best possible solution to the greatest number of problems.
Extending or reducing the near vision area, which can result in a non-unity ratio of surface areas between it and the far vision area, is already known, for example from published European patent application No 0 138 394.
However, apart from the fact that the surface area of thee near vision area is preferably equal to substantially half the surface area of the pupil of the wearer, this European patent application concerns a bifocal lens, i.e. a lens which has no intermediate vision area between its near and far vision areas.
This is not the case in the ophthalmic lens in accordance with the invention.
An asymmetrical arrangement of the near and far vision areas in the two ophthalmic lens intended for the same wearer has also been proposed, for example in published European patent application No 0 453 136.
However, this European patent application concerns a diffraction grating lens in which there is again no intermediate vision area.
The objects, features and advantages of the invention emerge from the following description given by way of example with reference to the accompanying diagrammatic drawings.
BRIEF DESCRIPTION OF THE DRAWINGS FIG. 1 is a view in axial cross-section of an ophthalmic lens according to the invention.
FIGS. 2A, 2B, 2C, 2D are diagrams representing the proximity of this ophthalmic lens for respective different values of the addition when its near vision area is strengthened.
FIGS. 3A, 3B, 3C, 3D are diagrams respectively analogous to those of FIGS. 2A, 2B, 2C, 2D for the situation in which the far vision area of the ophthalmic lens is strengthened.
DESCRIPTION OF THE PREFERRED EMBODIMENT As shown in the diagrams of FIGS. 2 and 3 and as described in French patent application No 2 642 854, the curve representing the proximity P of the lens 10 in accordance with the invention as a function of the far h from the axis A lies within an area between a lower envelope curve Pinf and an upper envelope curve Psup associated with specific polynomial equations whose coefficients depend on the addition ADD respective to the degree of presbyopia to be corrected.
It is thus possible to define in the lens two separate annular vision areas on respective opposite sides of an intermediate vision area ZVI, namely a far vision area ZVL and a near vision area ZVP.
The far vision area ZVL is preferably adjacent the peripheral part of the ophthalmic lens 10 while the near vision area ZVP is preferably near its axis A.
The opposite arrangement may be adopted if desired, however.
Let h1 and h2 denote the values of the distance h between which the near vision area ZVP lies and h3 and h4 denote the values of this distance h between which the far vision area ZVL lies, the intermediate vision area ZVI lying by definition between these areas and therefore between the values h2 and h3 of the distance h.
For practical reasons the value h4 of the distance h is a maximal value related to the radius of the human pupil for a person suffering from presbyopia.
This radius is known to decrease with age, for the same luminance conditions.
The maximal value h4 of the distance h is therefore related to the addition ADD required by the wearer.
As shown in the diagrams of FIGS. 2 and 3, for example, it is equal to 2.5 mm for a proximity addition equal to 1.5 diopters (D) and is equal to 2.2 mm for a proximity addition ADD greater than 1.5 diopters (D).
Also for practical reasons, the value h1 of the distance h delimiting the near vision area ZVP near the axis A is a minimal value.
Let SVP denote the surface area of the near vision area ZVP in which near vision images are formed correctly and SVL denote the surface area of the far vision area ZVL in which far vision images are formed correctly. ##EQU1##
In accordance with the invention, the far vision area ZVL or the near vision area ZVP is strengthened relative to the other area, the respective surface areas SVL, SVP being related as follows:
1.8&#8806;SVL /SVP 3.6                          (II)
This is achieved by an appropriate choice of the coefficients of the polynomial equations for the lower envelope curve Pinf and the upper envelope curve Psup.
Particularly favourable results have been obtained when the lower envelope curve Pinf and the upper envelope curve Psup satisfy the following polynomial equations: ##EQU2## in which PVL is the proximity needed for far vision.
Particularly favorable results are obtained with substantially the values listed below for the coefficients A'i and A"i, here in the case of strengthening of the near vision area ZVP relative to the far vision area ZVL, for example:
______________________________________for ADD = 1.5 D:A'0 = 1.50491             A"0 = 2.04007A'1 = -1.38224 � 10-1             A"1 = 4.87097 � 10-2A'2 = -8.56090 � 10-1             A"2 = -7.56137 � 10-1A'3 = 4.77223 � 10-1             A"3 = 3.28870 � 10-1A'4 = -1.07980 � 10-1             A"4 = -6.18287 � 10-2A'5 = 1.12726 � 10-2             A"5 = 5.58413 � 10-3A'6 = -4.47482 � 10-4             A"6 = -1.98243 � 10-4for ADD = 2 D:A'0 = 2.02242             A"0 =  2.48815A'1 = -6.40349 � 10-1             A"1 = 1.68157 � 10-1A'2 = -5.33753 � 10-1             A"2 = -1.19876A'3 = 3.45296 � 10-1             A"3 = 5.83726 � 10-1A'4 = -7.89597 � 10-2             A"4 = -1.24851 � 10-1A'5 = 8.16828 � 10-3             A"5 = 1.27178 � 10-2A'6 = -3.20478 � 10-4             A"6 = -5.00502 � 10-4for ADD = 2.5 D:A'0 = 2.48274             A"0 = 2.97168A'1 = -8.68865 � 10-1             A"1 = -2.69412 � 10-1A'2 = -3.88790 � 10-1             A"2 = -8.19247 � 10-1A'3 = 2.79778 � 10-1             A"3 = 4.23097 � 10-1A'4 = -6.48836 � 10-2             A"4 = -9.28940 � 10-2A'5 = 6.77817 � 10-3             A"5 = 9.73358 � 10-3A'6 = -2.68852 � 10-4             A"6 = -3.94207 � 10-4for ADD = 3 D:A'0 = 3.20707             A"0 = 3.72727A'1 = -1.13298             A"1 = -5.24234 � 10-1A'2 = -3.09307 � 10-1             A"2 = -7.92418 � 10-1A'3 = 2.18484 � 10-1             A"3 = 4.14478 � 10-1A'4 = -4.43817 � 10-2             A"4 = -8.98178 � 10-2A'5 = 4.04925 � 10-3             A"5 = 9.32974 � 10-3A'6 = -1.42370 � 10-4             A"6 = -3.76612 � 10-4______________________________________
In the FIG. 2A, 2B, 2C and 2D diagrams the proximity P in diopters (D) is plotted on the abscissa axis and the distance h in mm is plotted on the ordinate axis. The respective envelope curves Pinf, Psup for a distant vision proximity value PVL equal to zero and an addition ADD equal to 1.5 D for FIG. 2A, equal to 2D for FIG. 2B, equal to 2.5 D for FIG. 2C and equal to 3 D for FIG. 2D are shown in dashed line.
The envelope curves Pinf and Psup for other, positive or negative values of the far vision proximity PVL are deduced from those reproduced here by simple translation.
The diagrams also show in full line, between the envelope curves Pinf and Psup, a curve Pnom representing a nominal proximity which is particularly satisfactory.
This curve Pnom satisfies the equation: ##EQU3## with substantially the following values for the numerical coefficients Ai, and the conditions otherwise as previously:
for ADD =1.5 D:
A0 =1.74537
A1 =-1.41485�10-2 A2 =-7.74395�10-1 A3 =3.78836�10-1 A4 =-7.92805�10-2 A5 =7.88011�10-3 A6 =-3.03496�10-4 for ADD =2 D:
A0 =2.25360
A1 =-9.83461�10-2 A2 =-1.05467
A3 =5.47912�10-1 A4 =-1.18670�10-1 A5 =1.20372�10-2 A6 =-4.68919�10-4 for ADD =2.5 D:
A0 =2.72749
A1 =-2.39063�10-1 A2 =-9.80544�10-1 A3 =5.14985�10-1 A4 =-1.13158�10-1 A5 =1.17328�10-2 A6 =-4.68365�10-4 for ADD =3 D:
A0 =3.47334
A1 =-9.73082�10-1 A2 =-2.97809�10-1 A3 =1.70028�10-1 A4 =-3.05735�10-2 A5 =2.58076�10-3 A6 =-8.78906�10-5 Note that for each value of the addition ADD the envelope curves Pinf and Psup are generally similar to the respective nominal curve Pnom, at least in their central region.
As explained in French patent application No 2 642 854, the person skilled in the art can use the proximity curves to determine either the front and rear surfaces of the ophthalmic lens 10 or its index gradient, in order for it to satisfy a proximity curve of this kind.
The rear side of the ophthalmic lens 10 in accordance with the invention is preferably a spherical surface, only the front side being shaped to obtain the required proximity curve.
This surface is then obviously an aspherical surface.
Alternatively, any combination of spherical or aspherical surfaces or of index gradients giving a proximity curve fitting between the indicated envelope curves Pinf and Psup can be used.
In accordance with the invention, to strengthen the far vision area ZVL relative to the near vision area ZVP, the coefficients A'i and A"i of the polynomial equations for the envelope curves Pinf and Psup have substantially the following values:
______________________________________for ADD = 1.5 D:A'0 = 1.97385             A"0 = 2.61695A'1 = -4.02882             A"1 = -3.55654A'2 = 2.96745             A"2 = 2.28086A'3 = -1.08765             A"3 = -7.81238 � 10-1A'4 = 2.08906 � 10-1             A"4 = 1.46046 � 10-1A'5 = -2.00552 � 10-2             A"5 = -1.39278 � 10-2A'6 = 7.57585 � 10-4             A"6 = 5.27592 � 10-4for ADD = 2 D:A'0 = 2.75706             A"0 = 3.39285A'1 = -5.32047             A"1 = -4.30158A'2 = 3.78466             A" 2 = 2.36050A'3 = -1.34501             A"3 = -6.73486 � 10-1A'4 = 2.51944 � 10-1             A"4 = 1.05232 � 10-1A'5 = -2.37123 � 10-2             A"5 = -8.53634 � 10-3A'6 = 8.81836 � 10-4             A"6 = 2.81049 � 10-4for ADD = 2.5 D:A'0 = 3.83883             A"0 = 4.62363A'1 = -7.19032             A"1 = -5.52815A'2 = 5.10383             A"2 = 2.82720A'3 = -1.81741             A"3 = -7.59493 � 10-1A'4 = 3.41628 � 10-1             A"4 = 1.13108 � 10-1A' 5 = -3.22755 � 10-2             A"5 = -8.84934 � 10-3A'6 = 1.20462 � 10-3             A"6 = 2.83891 � 10-4for ADD = 3 D:A'0 = 4.20262             A"0 = 4.97173A'1 = -6.12634             A"1 = -4.36934A'2 = 3.56706             A"2 = 1.30259A'3 = -1.09381             A"3 = -7.49894 � 10-2A'4 = 1.84148 � 10-1             A"4 = -3.14113 � 10-2A'5 = -1.60397 � 10-2             A"5 = 5.74923 � 10-3A'6 = 5.63484 � 10-4             A"6 = -2.84487 � 10-4______________________________________
Given the same conditions as previously, the coefficients Ai of the polynomial equation for the corresponding nominal curve Pnom then have substantially the following values:
A0 =2.26107
A1 =-3.84574
A2 =2.68329
A3 =-9.50930�10-1 A4 =1.78502�10-1 A5 =-1.68366�10-2 A6 =6.26637�10-4 for ADD =2 D:
A0 =3.11044
A1 =-4.89450
A2 =3.08637
A3 =-9.92432�10-1 A4 =1.71515�10-1 A5 =-1.51366�10-2 A6 =5.34658�10-4 for ADD =2.5 D:
A0 =4.13733
A1 =-6.26355
A2 =3.96435
A3 =-1.30970
A4 =2.34695�10-1 A5 =-2.15039�10-2 A6 =7.86718�10-4 for ADD =3 D:
A0=4.61538
A1=-5.21075
A2=2.36892
A3=-5.47711�10-1 A4=6.70385�10-2 A5=-4.04791�10-3 A6=9.12504�10-5 The values h1, h2, h3, h4 in mm are substantially as follows:
______________________________________                   A = 2 D                   A = 2.5 D        A = 1.5 D  A = 3 D______________________________________ophthalmic lens          h1 = 0.4                       h1 = 0.4with near vision          h2 = 1  h2 = 1area ZVP  h3 = 1.8                       h3 = 1.8strengthened   h4 = 2.5                       h4 = 2.2ophthalmic lens          h1 = 0.4                       h1 = 0.4with far vision          h2 = 0.6                       h2 = 0.6area ZVL  h3 = 1.6                       h3 = 1.4strengthened   h4 = 2  h4 = 1.75______________________________________
In accordance with the invention, at least one of a matched pair of ophthalmic lenses 10 for the same wearer, one for the left eye and the other for the right eye, has either vision area ZVP or ZVL strengthened relative to the other.
The other ophthalmic lens 10 of any such pair can be a standard ophthalmic lens 10, i.e. an ophthalmic lens whose near vision area ZVP and far vision area ZVL are equivalent, for example an ophthalmic lens of the type described in French patent application No 2 642 854, or both the ophthalmic lenses 10 can have either their near vision area ZVP or their far vision area ZVL strengthened relative to the other.
In this case, the vision area strengthened is the same for both ophthalmic lenses 10 constituting a pair, for example.
Alternatively, the vision area strengthened is the near vision area ZVP for one of the ophthalmic lenses 10 and the, far vision area ZVL for the other.
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