Classifications

• • G—PHYSICS
  • G02—OPTICS
  • G02C—SPECTACLES; SUNGLASSES OR GOGGLES INSOFAR AS THEY HAVE THE SAME FEATURES AS SPECTACLES; CONTACT LENSES
  • G02C7/00—Optical parts
  • G02C7/02—Lenses; Lens systems ; Methods of designing lenses

Definitions

• This invention relates to the field of ophthalmic spectacle lenses, and in particular to spectacle lenses for the correction of distance vision.
• Spectacle lenses for the correction of blurred vision of distant objects conventionally employ two surfaces of spherical form when the eye is free of astigmatism, or one surface of spherical form and the other of toroidal form when astigmatism requiring
• the curvatures of the surfaces comprising a lens of this type are fixed by the designer using a predetermined standard of optical performance for vision through the peripheral areas of the lens ("off-axis performance"). Such lenses are termed "best form" lenses.
• the curvatures of the spherical surfaces of these lenses have been chosen, in the absence of chromatic aberration, to minimize the sum fMOEl + lOAEf, where MOE is the mean oblique error [arithmetic mean of the tangential (T) and saggital (S) errors] and OAE is the oblique astigmatic error (T - S) .
• MOE is the mean oblique error [arithmetic mean of the tangential (T) and saggital (S) errors]
• OAE is the oblique astigmatic error (T - S) .
• lens series of the aspheric type described by Jalie utilizes a convex hyperboloidal front surface for plus power lenses, with the prescription to be formed on the back surface, and a concave hyperboloidal back surface for minus power lenses, with the prescription to be formed on the front surface.
• the use of the hyperboloidal surfaces provides lenses having reduced edge, center and flat plate thicknesses relative to those of their conventional best form counterparts.
• the off-axis performance of the aspherical lens series can be made comparable to that of the conventional best form series.
• FIGURE 1 illustrates the first step in the conceptual development of the aspheric surface of the invention, wherein a lens having a convex spherical surface and a concave conicoidal surface is placed in front of the eye, with the convex side facing the eye.
• FIGURE 2 illustrates conceptually the second step in the development of the aspheric surface of the invention, wherein the lens of FIGURE 1 is bent in such a manner that the formerly convex spherical posterior surface becomes a concave spherical posterior surface, and the formerly concave conicoidal anterior surface becomes a convex inside-out conicoidal anterior surface.
• FIGURE 3 shows the surface curvature along an axial section of a conicoid of hyperboloidal form.
• FIGURE 4 shows the surface curvature along an axial section of an inside-out conicoid of inside-out hyperboloidal form.
• FIGURE 5 depicts an axial cross section of a +5.00 D power lens of the invention.
• FIGURE 6 depicts an axial cross section of a -5.00 D power lens of the invention.
• FIGURE 7 depicts an axial cross section of a +5.00 D power best form lens.
• FIGURE 8 depicts an axial cross section of a -5.00 D power best form lens.
• ophthalmic spectacle lenses are provided for the correction of distance vision incorporating a continuous convex aspherical front surface that affords improvements over conventional best form lenses as well as over existing non-conventional lenses having aspheric surfaces.
• the present invention provides ophthalmic lenses of both plus and minus power having reduced edge and center thicknesses, reduced flat plate thickness and improved performance, and whose concave sides can be generated, ground and polished using standard prescription laboratory machinery.
• the rear concave surfaces are comprised o * f any suitable conventionally shaped surfaces and are preferably comprised of spherical or toroidal surfaces, which can be provided either by the manufacturer or by the use of conventional prescription laboratory machinery.
• the invention consists of a lens whose continuous- convex front surface is axially symmetric and is of a special aspherical form, here referred to as an "inside-out" conicoid.
• the mathematical construction ' of such a surface is analogous to turning an orange peel inside out: a lens having a concave conicoidal surface is mathematically turned inside out, so that the concave surface is converted into a convex one.
• the conic constant of the concave conicoid that is turned inside-out is algebraically positive, the resulting convex inside-out surface is appropriate to the design of plus-powered lenses.
• the resulting convex inside-out surface is appropriate to the design of minus-powered lenses.
• the inside-out surface so formed bears little resemblance to the conicoid from which it is derived, it is nevertheless uniquely specified by just three parameters, namely the axial curvature k_ and conic constant K of the original concave conicoid, and the axial curvature k. of the final convex inside-out surface.
• Lens thickness and off-axis performance can be adjusted by adjusting the values of the parameters k_ and K.
• the present invention provides ophthalmic lenses having reduced flat plate thickness and improved performance as compared with the corresponding characteristics of best form lenses. It is, of course, possible to reduce the flat plate thickness of a best form lens by replacing its surfaces with spherical surfaces having reduced curvatures, the relative values of these reduced curvatures being chosen in such a way as to give the same back vertex power as that of the best form lens. However, the off-axis optical performance of such a lens will be inferior to that of the best form lens. However, in accordance with the present invention, the lost performance can be restored by an appropriate aspherization of the front surface of the flatter lens.
• the present invention incorporates a particularly advantageous form of convex aspheric surface for the restoration of lost performance, namely the inside-out conicoid.
• FIGURE 1 shows a lens 10 placed in front of the eye in an unorthodox manner, with the convex side facing the eye.
• the convex posterior surface 12 of this lens is of spherical or toroidal form, whereas the concave anterior surface 14 is of conicoidal form, i.e., a surface formed by rotating a conic section about an axis of symmetry.
• the relative values of the axial curvatures of these two surfaces are such as to give the required back vertex power for correction of distance vision.
• Step 2 The second step, depicted in FIGURE 2, is to bend the extremities of the lens uniformly towards the eye until the axial surface curvature of the anterior surface 14' attains a specified value flatter than that of the spherical anterior surface of the best form lens for the given back vertex power.
• the posterior surface 12* is still of spherical or toroidal form but is now concave.
• the convex aspherical anterior surface 14' so formed is the inside-out conicoid.
• Step 3 The third and final step is to adjust the conic constant, i.e., a constant whose value specifies the type of conic section (circle, ellipse, parabola, etc.) of the conicoid that has been turned inside out until the off-axis performance matches or exceeds that of the more steeply curved best form lens. It may also be necessary to adjust the curvature of the concave spherical or toroidal surface to maintain the required back vertex power.
• the mathematical form of the inside-out conicoid is readily derived. The derivation begins with the equation of a conicoid. With the vertex of the conicoid at the origin as shown in FIGURE 1, the equation of the conicoid can be written [M. Jalie, The Principles of Ophthalmic Lenses, (Association of
• the types of conicoid corresponding to different values of K are as follows: ⁇ °* ⁇ . K ⁇ -i hyperboloid
• K -1 paraboloid -1 ⁇ K ⁇ 0 prolate ellipsoid
• k(y) k ⁇ - k Q + k Q /(l - Kk 2 y 2 ) 3/2 , (6) .
• k_ axial curvature of concave conicoid prior to being turned inside-out (a negative number in this sign convention)
• k., axial curvature of convex aspherical front surface (a positive number)
• Equation (6) conic constant of the concave conicoid prior to being turned inside out (positive or negative, depending on application) .
• the curvature function of Equation (6) is everywhere positive; the corresponding surface is therefore concave to the right, as is usual in the case of ophthalmic spectacle lenses.
• the general form of k(y) is depicted in FIGURE 4 which replicates the curve of
• FIGURE 3 shifted upward by the constant B.
• the curvature k. will invariably be flatter than the front surface curvature of the corresponding best form sphere, there are practical limitations to the degree of flatness that can be attained.
• the flatness of the front surface is limited by such practical considerations as eyelash clearance at the back surface, reflection of light from the back surface, and the ability of prescription laboratory machinery to generate concave surfaces of long radius.
• the only practical restriction on the anterior surface is that it be convex.
• the conic constant K must be positive for plus power lenses, and negative for minus power lenses.
• k_ denote the characteristic curvature of the concave spherical or toroidal back curve of the lens of the invention.
• k Q -k 2
• k_ characteristic curvature of the concave spherical or torical back surface (a positive number)
• Equation 10 Equation 10
• Equation (6) Equation (6)
• Equation (6) Equation (6)
• Equation (6) Equation (6)
• a table of pairs of values of k_ and K that give the chosen value of D can then be developed from Equation (12). From these pairs, one pair can be selected that produces the desired lens thickness and off-axis performance characteristics.
• MOE denotes the mean oblique power error [arithmetic mean of the tangential (T) and saggital (S) errors] and OAE denotes the oblique astigmatic error (T - S) , both errors being measured in diopters (D) .
• a ⁇ $ ⁇ value of 0.25 D represents the just observable total error.
• the value of «* ⁇ varies with viewing angle, and lenses are typically compared for a 30 rotation of the eye from the forward direction.
• FIGURE 5 depicts a plus power lens constructed in accordance with the invention. It may be compared with the plus power best form lens shown in FIGURE 7.
• the convex, inside-out conicoidal front surface 14" of FIGURE 5 is described algebraically by Equation (6) with K ⁇ > 0. That is, for plus power lenses, the conicoid that is turned inside-out is an oblate ellipsoid.
• the concave back surface 12" of the lens is spherical or toroidal depending on whether astigmatism requiring correction is present or not.
• FIGURE 6 depicts a minus power lens constructed in accordance with the invention. It is to be compared with the minus power best form lens shown in FIGURE 8.
• the convex, inside-out conicoidal front surface 14"' of FIGURE 6 is described algebraically by Equation (6) with K ⁇ 0. That is, for minus power lenses, the conicoid that is turned inside-out is either a prolate ellipsoid, a paraboloid or a hyperboloid.
• the concave back surface of the lens is spherical or toroidal depending on whether astigmatism requiring correction is present or not.
• all lenses of the invention whether of plus or minus power, have reduced flat plate thicknesses in comparison with best form lenses having the same back vertex power and refractive index.
• the center thicknesses of the plus power lenses, and the edge thickness of the minus power lenses of the invention are reduced in comparison to the corresponding thicknesses of best form lenses, and even to those of prior art aspheric lenses having the same axial front surface power.
• These thickness reductions translate into improved cosmesis and a reduction of weight over previously known lenses.
• the gains in cosmesis and weight are accompanied by gains in off-axis performance as well. This will now be demonstrated by way of the examples presented in Tables II and III.
• N 1.498
• EDGE THICKNESS 1.0 MM
• DIAMETER 71 MM.
• TABLE II compares a +5.00 D power embodiment of the present invention with three types of prior art lens of the same power: a best form lens with spherical surfaces, a flatter lens with spherical surfaces, and a prior art aspherical lens of the Jalie patent type having a convex hyperboloidal front surface (conic constant -1.75) and spherical back surface.
• the front surface of the lens of the invention is an inside-out oblate ellipsoid (conic constant 15.4).
• the lens of the invention can be seen to have a reduced flat plate thickness, reduced center thickness, and somewhat improved off-axis performance relative to the corresponding characteristics of the prior art lenses.
• TABLE III compares a -5.00 D lens of the invention with the same three types of prior art lens; the prior art asphere in this case incorporates a convex oblate ellipsoidal front surface (conic constant 15.4).
• the front surface of the lens of the invention is an inside-out hyperboloid (conic constant -2.8).
• the lens of the invention provides improvement over all three prior art lenses in that it exhibits reduced flat plate thickness, reduced edge thickness, and somewhat improved off-axis performance.

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• Health & Medical Sciences (AREA)
• Ophthalmology & Optometry (AREA)
• Physics & Mathematics (AREA)
• General Health & Medical Sciences (AREA)
• General Physics & Mathematics (AREA)
• Optics & Photonics (AREA)
• Lenses (AREA)

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• 1991
  • 1991-12-13 WO PCT/US1991/009385 patent/WO1993012452A1/en not_active Ceased
  • 1991-12-13 AU AU91175/91A patent/AU9117591A/en not_active Abandoned
  • 1991-12-13 EP EP92902431A patent/EP0571402A4/de not_active Withdrawn

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