Ortho-K
Technical field
The present invention relates generally to the design field of an optometry.Specifically, the present invention relates to a kind of Ortho-K with brand-new design.
Background technology
Ortho-k (Orthokeratology(Ortho-K)) be by specially designed Ortho-K initiatively, in steps, progressive, scientifically change cornea configuration, to improve UCVA fast, control a special kind of skill that adolescent myopia develops into target.
The moulding mirror of modern cornea adopts " reversion geometry " design concept, is designed to by the inner surface configuration of Ortho-K contrary with anterior surface of cornea geometric configuration, manufactures some gaps between eyeglass and cornea, utilize the mechanical function of tear to reach " orthopedic " effect.Ortho-K is rigid glasses, wears between rear lens inside surface and outer corneal surface and clips one deck tear pockety, and the epithelial cell of Central corneal draws to middle perimembranous (periphery) by the fluid mechanics effect of tear; Meanwhile, when closing one's eyes and blink, the effect of eyelid makes eyeglass central authorities impose certain pressure to inferior cornea.These two kinds of effects cause Central corneal curvature to flatten, and central epithelial layer is thinning, and middle perimembranous is thickening, move near retina direction depending on thing imaging point.After wearing a period of time, anterior surface of cornea shape is tending towards consistent with Ortho-K rear surface, and when the moulding rigid gas permeable contact lens of excision cornea, cornea still keeps the shape of Ortho-K rear surface, thus myopia degree reduction is even eliminated.The change of this shape is short-term, and after stopping wearing Ortho-K, cornea can get back to former form.
" reversion geometry " design of Ortho-K proposed (US 4952045) by Stoyan in 1989, Ortho-K is divided into three Ge Hu districts by initial reversion geometry designs, comprise base arc, reversion arc and circumference arc, because the reversion arc of this design is very wide, edge tilts highly larger, the random movement of easy initiation eyeglass, has larger limitation clinically.The Ortho-K that modern " reversion geometry " designs improves reversion geometric areas, is generally divided into four regions.Longitudinal center's diagrammatic cross-section of the prior art Ortho-K of Fig. 1 to be inside surface be four arc districts design.As shown in fig. 1, Ji Hu district 1 contacts the middle section of eye cornea, and face shape is comparatively smooth, for flattening anterior corneal surface; Reversion arc district 2 is comparatively precipitous, for the pressing effect of firm base arc, and ensures certain tear storage capacity; Arc district 3, location also can be called Pei Shihu district, is mainly used in stabilized lenses; Zhou Hu district 4 ensures the circulation of cornea and Ortho-K periphery tear.
The inside surface of Ortho-K is moulding functional realiey region, and most design is carried out for this region, and method is radius-of-curvature for four Ge Hu districts and width Two Variables, designs respectively according to patient's cornea shape and dioptric requirement.
The design being widely used in producing at present generally adopts 4-7 circular arc dovetail that is individual or 5-7 different curvature radius to form, and the curved surface of each segmental arc is sphere.Fig. 2 is another longitudinal center's diagrammatic cross-section of prior art Ortho-K, clearly show the design feature of prior art Ortho-K in this figure.As shown in Figure 2, four arc districts are the most basic designs, and four Ge Hu districts adopt the sphere of four different radius-of-curvature, and the centre of sphere of each sphere (centre of sphere O of Ji Jihu district 1 sphere
1, reversion arc district 2 sphere centre of sphere O
2, location arc district 3 sphere centre of sphere O
3) conllinear, i.e. on the Y of same axis (as described in patent CN 1256908A, US 005963297A), in Ge Hu district, joining place carries out chamfering, makes each segmental arc natural sparse model.5-7 circular arc dovetail refers at reversion arc and locates the multiple circular arc of arc (as reversion arc comprises two sections of circular arcs, location arc comprises three sections of circular arcs), be connected easier to make base arc with reversion arc, and location arc is more mated with cornea shape (because cornea is aspheric surface, adopting multiple sphere to simulate the form of " aspheric surface ").At present product information on the market not yet shows and have employed aspheric design without any a Ortho-K.
No matter the design of Ortho-K inside surface, current Ortho-K outside surface all adopts simple sphere, in order to reach correct dioptric.
But, the main existing defects of Ortho-K of prior art and deficiency:
(1) the reversion arc design of the Ortho-K of prior art adopts with base arc, locates the circular arc of the arc center of circle at same center line, the two is made naturally to link up smoothly, the shortcoming of this design is, refractive power difference between reversion arc and base arc is unstable, the refractive power 3-15D larger than Ji Huqu in the existing moulding mirror reversion arc district of open report, in fact difference is far longer than this span of 3-15D possibly, cause tear storage area capacity unstable, the moulding effect of moulding mirror of difference degree of falling is also unstable, reduces result for the treatment of.
(2) most energy is put in design on an internal surface by the Ortho-K of prior art, design direction is made every effort to Ortho-K is worn more comfortable, reaches better moulding effect, and does not consider the improvement of Ortho-K optical property.Ortho-K is generally wears type night, although look thing effect without the need to playing in most cases, but in special circumstances, as got up in the night to urinate evening, drinking water, answer the door, wearer needs to look thing, and this situation is scotopia condition at night substantially, human eye pupil is larger, in the optical system that Ortho-K and human eye form, the Optical Region that Ortho-K works is also comparatively large, can reach 6mm even larger.Existing Ortho-K Optical Region does not all limit spherical aberration, and under large clear aperature, the optical system that Ortho-K can form to Ortho-K and human eye brings extra spherical aberration, affects the visual quality of wearer.
Adopt aspheric surface effectively can limit the spherical aberration size of optical lens in Optical Region, the existing Ortho-K product overwhelming majority adopts two spherical design in Optical Region.Also the design adopting " aspheric surface " that simulate as previously mentioned on the inside surface of Ortho-K product is had, but its objective is that the shape in order to make cornea after moulding becomes the shape of Ortho-K inside surface, be not intended to the optical quality improving patient Dai Jingshi.And " aspheric surface " that simulate design is placed on the inside surface of Ortho-K, if eyeglass is run-off the straight or bias when wearing, anterior surface of cornea will be shaped as the shape with opthalmic optics's system decentraction, cause patient to produce the phenomenon such as halation, dazzle, have a strong impact on moulding after opthalmic optics's quality.The visible patent CN2013/000057(PCT number of patent application of impact when aspheric surface run-off the straight and bias, system optics quality produced).
(3) cornea is non-sphere form, and the arc district, location for stabilized lenses directly contacts with anterior corneal surface, therefore needs there is very high matching degree with cornea, and reduces the position needing chamfering to be connected as far as possible, prevents rough inner surface from causing the phenomenon of cornea discomfort.Arc district, existing location adopts the circular arc dovetail analog cornea peripheral shape of several different curvature radius, and the joining place of each circular arc is unsmooth and need many places chamfering, and can not mate completely with cornea peripheral shape.
Summary of the invention
The present invention proposes in view of the problems referred to above existing in prior art.Inventor is by adopting the design of the center of circle not on the line of the center of circle of the basic spherical arc of base arc segmental arc with the center of circle of the basic spherical arc of location arc segmental arc of the basic spherical arc of reversion arc segmental arc innovatively, and selectively on the outside surface of described Ortho-K, apply brand-new optical design, its object is to the difference of the refractive power controlling reversion arc and base arc a stable value, thus ensure tear storage area capacity stablizes, ensure security and the validity of lens wear; Improve the matching degree of eyeglass match arc district and cornea shape, and reduce arc district linking hop count, improve surface smoothness; Improve visual quality when patient wears simultaneously.
Term definition
The term " inside surface of Ortho-K " used in this application refers to that surface of the Ortho-K directly contacted with eye cornea when wearing.
The term " outside surface of Ortho-K " used in this application refers to that surface relative with the inside surface of Ortho-K.
The term " base arc segmental arc " used in this application refer to Ji Huqu with the culminating point of the inside surface of Ortho-K for initial point sets up the segmental arc that in two-dimensional coordinate system XY plane, (on longitudinal center's section of Ortho-K) presents.
The term that uses in this application " reversion arc segmental arc " refer to reversion arc district with the culminating point of the inside surface of Ortho-K for initial point sets up the segmental arc that in two-dimensional coordinate system XY plane, (on longitudinal center's section of Ortho-K) presents.
The term that uses in this application " location arc segmental arc " refer to arc district, location with the culminating point of the inside surface of Ortho-K for initial point sets up the segmental arc that in two-dimensional coordinate system XY plane, (on longitudinal center's section of Ortho-K) presents.
The term " circumference arc segmental arc " used in this application refer to circumference arc district with the culminating point of the inside surface of Ortho-K for initial point sets up the segmental arc that in two-dimensional coordinate system XY plane, (on longitudinal center's section of Ortho-K) presents.
When inside surface/outside surface of Ortho-K of the present invention adopts aspheric surface (such as high order aspheric surface, complex loop curved surface etc.) to design, this can be regarded as on the imaginary basic sphere of the inside surface/outside surface of Ortho-K, increase aspheric surface (such as high order aspheric surface, complex loop curved surface) design.Such as, if the specific arc district on the inside surface/outside surface of Ortho-K adopts spherical design, it is identical to liking that its basic sphere so so-called and this sphere refer to.Therefore, the term " basic spherical arc " used in this application refers to the segmental arc comprised in (correspondence) imaginary basic sphere of the inside surface/outside surface of Ortho-K, such as, as shown in Fig. 1,4,7.
Specifically, the present invention relates to the content of following many aspects:
1. an Ortho-K,
With the culminating point of the inside surface of described Ortho-K for initial point sets up two-dimensional coordinate system XY, the inside surface of described Ortho-K is outwards arranged continuously from described initial point: the Ji Huqu comprising base arc segmental arc, comprise the reversion arc district of reversion arc segmental arc, comprise the arc district, location of location arc segmental arc and comprise the circumference arc district of circumference arc segmental arc, at described initial point place and the tangent straight line of described base arc segmental arc to be the abscissa axis X of described two-dimensional coordinate system, with through described initial point, perpendicular to abscissa axis X and the straight line being positioned at the plane be made up of abscissa axis X and described base arc segmental arc is axis of ordinates Y,
The curve of inside surface on described two-dimensional coordinate system plane X Y of described Ortho-K is symmetrical about axis of ordinates Y,
In described two-dimensional coordinate system, base arc segmental arc is (a with the tie point coordinate of reversion arc segmental arc
1, b
1), reversion arc segmental arc is (a with the tie point coordinate of location arc segmental arc
2, b
2), the central coordinate of circle of the basic spherical arc of reversion arc segmental arc is (x, y),
The inside surface of described Ortho-K carries out Rotational Symmetry change by described curve negotiating around axis of ordinates (Y) and obtains,
It is characterized in that,
Y is non-vanishing; And
The central coordinate of circle (x, y) of the basic spherical arc of described reversion arc segmental arc meets following relational expression:
Wherein R is the radius-of-curvature of the basic sphere in described reversion arc district.
2. the Ortho-K according to aspect 1, is characterized in that, described reversion arc segmental arc is one section of sphere segmental arc or one section of aspheric surface segmental arc.
3. the Ortho-K according to aspect 1, it is characterized in that, the radius-of-curvature of described base arc segmental arc is 7.50-9.93 millimeter, described reversion arc segmental arc is the steady state value within the scope of 3D-15D relative to the additional optical focal power of described base arc segmental arc, and the scope of the radius-of-curvature of the basic spherical arc of described reversion arc segmental arc is 5.95-9.29 millimeter.
4. the Ortho-K according to aspect 1, is characterized in that, the arc district, location of described Ortho-K inside surface is the aspheric surface matched with cornea shape.
5. the Ortho-K according to any one of aforementioned aspect 1-4, it is characterized in that, the outside surface of described Ortho-K is comprise the one in the face shape of sphere, aspheric surface, complex loop curved surface, the multi-focal-plane of multi-region refractive design and the multi-focal-plane of multi-region diffractive designs.
6. the Ortho-K according to aspect 5, is characterized in that, the lens thickness of described Ortho-K is in the scope of 0.18-0.25 millimeter.
7. the Ortho-K according to aspect 5, is characterized in that, the outside surface face shape of described Ortho-K is make the spherical aberration of the eyeglass of described Ortho-K under 6mm aperture be the high order aspheric surface of zero.
8. the Ortho-K according to aspect 7, is characterized in that,
With the culminating point of the outside surface of described Ortho-K for initial point sets up two-dimensional coordinate system ZR, at described initial point place and the tangent straight line of described outside surface to be the abscissa axis Z of described two-dimensional coordinate system; With through described initial point, perpendicular to the straight line of abscissa axis Z for axis of ordinates R,
The curve of described high order aspheric surface on described two-dimensional coordinate system plane ZR meets following relational expression:
Wherein, c is the surface curvature of the outside surface basis sphere of described Ortho-K, Q, A
4, A
6, A
8, A
10for asphericity coefficient, r is the vertical range of any point distance abscissa axis Z on described curve,
The outside surface of described Ortho-K carries out Rotational Symmetry change by described curve negotiating around axis of ordinates R and obtains.
Technical scheme of the present invention has following beneficial effect especially:
Novel Ortho-K of the present invention can control to reverse the difference of refractive power of arc and base arc a stable value, thus ensures tear storage area capacity stablizes, the security of guarantee lens wear and validity; Improve the matching degree of eyeglass match arc district and cornea shape, and reduce arc district linking hop count, improve surface smoothness; Visual quality when patient wears can be improved simultaneously.
Accompanying drawing explanation
According to following accompanying drawing and explanation, feature of the present invention, advantage will become more clear, wherein:
Longitudinal center's diagrammatic cross-section of the prior art Ortho-K of Fig. 1 to be inside surface be four arc districts design;
Fig. 2 is another longitudinal center's diagrammatic cross-section of prior art Ortho-K, clearly show the design feature of prior art Ortho-K in this figure;
Fig. 3 is longitudinal center's diagrammatic cross-section of Ortho-K product according to an embodiment of the invention;
Fig. 4 is another longitudinal center's diagrammatic cross-section of Ortho-K according to an embodiment of the invention, clearly show the design feature of Ortho-K of the present invention in this figure;
Fig. 5 adopts the contrast MTF of the eyeglass (front and rear surfaces is sphere) of the Ortho-K of prior art design to scheme.In figure, dotted line is diffraction limit, is the best MTF of optics that eyeglass can reach; In figure, solid line is the MTF curve that actual measurement obtains;
Fig. 6 is that the contrast MTF of the eyeglass of the Ortho-K adopting design of the present invention schemes.In figure, dotted line is diffraction limit, is the best MTF of optics that eyeglass can reach; In figure, solid line is the MTF curve that actual measurement obtains.
Fig. 7 is longitudinal center's diagrammatic cross-section of Ortho-K according to another embodiment of the invention, specifically illustrates the location arc design feature of Ortho-K of the present invention in this figure.
Identical drawing reference numeral is used to represent same or analogous element in the drawing of the present application.
Drawing reference numeral explanation
1 Ji Huqu (base arc segmental arc)
2 reversion arc districts (reversion arc segmental arc)
3 arc district, location (location arc segmental arc)
4 circumference arc districts (circumference arc segmental arc)
5 corneas
The culminating point of the inside surface of O Ortho-K
O
1the center of circle of the basic spherical arc of base arc segmental arc
O
2the center of circle of the basic spherical arc of reversion arc segmental arc
O
3the center of circle of the basic spherical arc of location arc segmental arc
A
1the tie point of base arc segmental arc and reversion arc segmental arc, its coordinate is (a
1, b
1)
A
2reversion arc segmental arc and the tie point of locating arc segmental arc, its coordinate is (a
2, b
2).
Embodiment
Following specific embodiment is just for explaining explanation further to the present invention, but the present invention is not limited to following specific embodiments.Any change on these embodiment bases, as long as spirit according to the invention and scope, all will fall in the covering scope of patent of the present invention.
The lens thickness of Ortho-K of the present invention is roughly in the scope of 0.18-0.25 millimeter.Ji Huqu is the lens optical district of Ortho-K, and its diameter is according to wearer's pupil size scope 5.5-7.0 millimeter (such as 6.0 millimeters) design, and radius-of-curvature 7.50-9.93 millimeter, adopts zero aberration spherical design or zero aberration aspheric design.
Fig. 3 is longitudinal center's diagrammatic cross-section of Ortho-K according to an embodiment of the invention.Fig. 4 is another longitudinal center's diagrammatic cross-section of Ortho-K according to an embodiment of the invention, clearly show the design feature of Ortho-K of the present invention in this figure.
With the culminating point O of the inside surface of described Ortho-K for initial point sets up two-dimensional coordinate system XY, the inside surface of Ortho-K as shown in Figures 3 and 4 is outwards arranged continuously from described initial point: the Ji Hu district 1 comprising base arc segmental arc, comprise the reversion arc district 2 of reversion arc segmental arc, comprise the arc district, location 3 of location arc segmental arc and comprise the circumference arc district 4 of circumference arc segmental arc, at described initial point place and the tangent straight line of described base arc segmental arc to be the abscissa axis X of described two-dimensional coordinate system, with through described initial point, perpendicular to abscissa axis X and the straight line being positioned at the plane be made up of abscissa axis X and described base arc segmental arc is axis of ordinates Y.This lens thickness is 0.20 millimeter.
As shown in Figure 4, the curve of the inside surface of described Ortho-K on described two-dimensional coordinate system plane X Y is symmetrical about axis of ordinates Y.
In described two-dimensional coordinate system, the tie point A of base arc segmental arc and reversion arc segmental arc
1coordinate be (a
1, b
1), reversion arc segmental arc and the tie point A locating arc segmental arc
2coordinate be (a
2, b
2), the center of circle O of the basic spherical arc of reversion arc segmental arc
2coordinate is (x, y), and wherein y is non-vanishing, this that is, the center of circle O of the basic spherical arc of reversion arc segmental arc
2not at the center of circle O of the basic spherical arc of base arc segmental arc
1with the center of circle O of the basic spherical arc of location arc segmental arc
3line on, the advantage of this design is, can control to reverse the difference of refractive power of arc and base arc a stable value, thus ensure tear storage area capacity stablizes, the security of guarantee lens wear and validity (the tear storage capacity of Ortho-K directly determines moulding effect).Further, the central coordinate of circle (x, y) of the basic spherical arc of described reversion arc segmental arc meets following relational expression (1):
(1)
Wherein R is the radius-of-curvature of the basic sphere in described reversion arc district.
The inside surface of described Ortho-K carries out Rotational Symmetry change by described curve negotiating around axis of ordinates Y and obtains.
In this embodiment, described reversion arc segmental arc is one section of sphere segmental arc.But for those skilled in the art, described reversion arc segmental arc also can be one section of aspheric surface segmental arc.According to design of the present invention, the radius-of-curvature of described base arc segmental arc is 7.50-9.93 millimeter, described reversion arc segmental arc is the steady state value within the scope of 3D-15D relative to the additional optical focal power of described base arc segmental arc, and the scope of the radius-of-curvature of the basic spherical arc of described reversion arc segmental arc is 5.95-9.29 millimeter.
The design example of the inside surface of Ortho-K of the present invention sees the following form 1, and wherein n is the refraction index of moulding mirror material, and D is additional power, and R is Ji Hu district radius-of-curvature, and R ' is reversion arc district radius-of-curvature.Addition power is larger, and tear storage space is larger.
The design example (unit: mm) of the inside surface of table 1 Ortho-K of the present invention
R |
a1 |
b1 |
a2 |
b2 |
D |
R’ |
7.50 |
0.52 |
2.75 |
0.69 |
3.15 |
3.0 |
7.13 |
9.93 |
0.39 |
2.75 |
0.51 |
3.15 |
3.0 |
9.29 |
7.50 |
0.52 |
2.75 |
0.69 |
3.15 |
10.0 |
6.39 |
9.93 |
0.39 |
2.75 |
0.51 |
3.15 |
10.0 |
8.07 |
7.50 |
0.52 |
2.75 |
0.69 |
3.15 |
15.0 |
5.95 |
9.93 |
0.39 |
2.75 |
0.51 |
3.15 |
15.0 |
7.38 |
7.50 |
0.87 |
3.5 |
1.09 |
3.9 |
3.0 |
7.13 |
9.93 |
0.64 |
3.5 |
0.80 |
3.9 |
3.0 |
9.29 |
7.50 |
0.87 |
3.5 |
1.09 |
3.9 |
10.0 |
6.39 |
9.93 |
0.64 |
3.5 |
0.80 |
3.9 |
10.0 |
8.07 |
7.50 |
0.87 |
3.5 |
1.09 |
3.9 |
15.0 |
6.39 |
9.93 |
0.64 |
3.5 |
0.80 |
3.9 |
15.0 |
8.07 |
7.50 |
0.52 |
2.75 |
1.00 |
3.75 |
3.0 |
7.13 |
9.93 |
0.39 |
2.75 |
0.74 |
3.75 |
3.0 |
9.29 |
7.50 |
0.52 |
2.75 |
1.00 |
3.75 |
10.0 |
6.39 |
9.93 |
0.39 |
2.75 |
0.74 |
3.75 |
10.0 |
8.07 |
7.50 |
0.52 |
2.75 |
1.00 |
3.75 |
15.0 |
6.39 |
9.93 |
0.39 |
2.75 |
0.74 |
3.75 |
15.0 |
8.07 |
7.50 |
0.87 |
3.5 |
1.5 |
4.5 |
3.0 |
7.13 |
9.93 |
0.64 |
3.5 |
1.08 |
4.5 |
3.0 |
9.29 |
7.50 |
0.87 |
3.5 |
1.5 |
4.5 |
10.0 |
6.39 |
9.93 |
0.64 |
3.5 |
1.08 |
4.5 |
10.0 |
8.07 |
7.50 |
0.87 |
3.5 |
1.5 |
4.5 |
15.0 |
6.39 |
9.93 |
0.64 |
3.5 |
1.08 |
4.5 |
15.0 |
8.07 |
Fig. 5 adopts the contrast MTF of the eyeglass (front and rear surfaces is sphere) of the Ortho-K of prior art design to scheme.In figure, dotted line is diffraction limit, is the best MTF of optics that eyeglass can reach; In figure, solid line is the MTF curve that actual measurement obtains.Fig. 6 is that the contrast MTF of the eyeglass of the Ortho-K adopting design of the present invention schemes, and in figure, curve is A diffraction limit, is the best MTF of optics that eyeglass can reach; In figure, solid line is the MTF curve that actual measurement obtains.
MTF the most comprehensively evaluates lens optical image quality.Fig. 5 is the MTF figure of the eyeglass adopting existing design (front and rear surfaces is sphere), the MTF of Fig. 6 gained eyeglass of the present invention, and the dotted line in figure is diffraction limit, is the best MTF of optics that eyeglass can reach.As we can see from the figure, adopt the eyeglass MTF(of existing design see the solid line in Fig. 5) from diffraction limit (see the dotted line in Fig. 5, optimal imaging quality) still there is certain gap, and after adopting design of the present invention, eyeglass spherical aberration is eliminated, the MTF of eyeglass overlaps with the desired diffractive limit (see the dotted line in Fig. 6 and solid line), improves lens imaging quality.
Fig. 7 is longitudinal center's diagrammatic cross-section of Ortho-K according to another embodiment of the invention, specifically illustrates the location arc design feature of Ortho-K of the present invention in this figure.
As known to persons skilled in the art, the Ortho-K of prior art adopts sphere processing technology to manufacture, the circular arc of certain curvature radius can only be cut in a certain segmental arc, the segmental arc (i.e. aspheric surface) of radius-of-curvature generation continuity change can not be cut, therefore existing moulding mirror is when designing, adopt the circular arc dovetail analog cornea peripheral shape of several different curvature radius, circular arc can be two, also can be multiple, joining place is unsmooth and need many places chamfering, and can not mate completely with cornea peripheral shape.
Be aspheric due to cornea and directly contact with anterior corneal surface due to the arc district, location for stable Ortho-K eyeglass, therefore as shown in Figure 7, the inside surface of Ortho-K according to an embodiment of the invention adopts in arc district 3, location the design matched with cornea shape, completely the same with cornea 5 shape, and location segmental arc 3 and reversion arc segmental arc 2 and circumference arc segmental arc 4 smooth connection, and then reduce the position needing chamfering to be connected in arc district, location as far as possible, prevent Ortho-K rough inner surface from causing the phenomenon of cornea discomfort.The present invention adopts aspherical mirror machining technique, utilize the characteristic that machining tool changes in axis and the continuous high resolving power of the equal energy of radial direction, machined surface shape continually varying aspheric surface, it is made to mate with cornea face shape completely in shape, aspheric surface parameter can be selected according to the shape of individual cornea, carry out personalized design.The aspheric surface that this processing mode obtains is smooth without the need to chamfering.
According to a preferred embodiment of the present invention, the face shape in the arc district, location of Ortho-K eyeglass inside surface of the present invention is high order aspheric surface.With the culminating point O of described Ortho-K inside surface for initial point sets up two-dimensional coordinate system XY(Fig. 4), with through described initial point, perpendicular to abscissa axis X and the straight line being positioned at the plane be made up of abscissa axis X and described base arc segmental arc for axis of ordinates Y, the curve of described high order aspheric surface on described two-dimensional coordinate system plane X Y meets following relational expression:
Wherein, c is the surface curvature (i.e. the inverse of radius-of-curvature) of basis, arc district, the location sphere of described Ortho-K inside surface, Q, A
4, A
6, A
8, A
10for the asphericity coefficient (described asphericity coefficient is decided by the face shape of cornea, can be drawn by corneal topography or other conventional sense means) in the arc district, location of described Ortho-K inside surface, Q value size is at-1.0 ~ 1.0, A
4, A
6, A
8, A
10can be zero or non-vanishing, this depends on the requirement of deviser to form accuracy.X is that on described curve, any point, apart from the vertical range of axis of ordinates Y, regulates asphericity coefficient, makes lens orientation segmental arc face shape consistent the face shape in this region with cornea.The arc district, location of described Ortho-K inside surface carries out Rotational Symmetry change by described curve negotiating around axis of ordinates Y and obtains.
But for those skilled in the art, if aspheric design is at eyeglass inside surface, the bias of eyeglass on cornea may cause the bad moulding of cornea with inclination, produce bad optical effect, aspheric design then can not affect the moulding of cornea completely in lens front surface, brings beneficial effect only to the optical quality of moulding mirror.Therefore, selectively or preferably, the Optical Region outside surface of Ortho-K of the present invention adopts aspheric design, particularly high order aspheric surface design, be intended to the spherical aberration eliminating eyeglass, improve lens optical qualities, and effectively improve the image quality after human eye lenses fitted.Certainly, those skilled in the art is understood that to realize specific optics object, and the outside surface of Ortho-K of the present invention also can be the one in face shape comprising sphere, complex loop curved surface, the multi-focal-plane of multi-region refractive design and the multi-focal-plane of multi-region diffractive designs etc.
Such as, the outside surface face shape of Ortho-K according to an embodiment of the invention is make the spherical aberration of the eyeglass of described Ortho-K under 6mm aperture be the high order aspheric surface of zero.With the culminating point of the outside surface of described Ortho-K, for initial point, to set up two-dimensional coordinate system ZR(not shown), at described initial point place and the tangent straight line of described outside surface to be the abscissa axis Z of described two-dimensional coordinate system; With through described initial point, perpendicular to the straight line of abscissa axis Z for axis of ordinates R, the curve of described high order aspheric surface on described two-dimensional coordinate system plane ZR meets following relational expression:
Wherein, c is the surface curvature (i.e. the inverse of radius-of-curvature) of the outside surface basis sphere of described Ortho-K, Q, A
4, A
6, A
8, A
10for the asphericity coefficient (target zero spherical aberration that described asphericity coefficient will be realized by described Ortho-K eyeglass decides) of described Ortho-K.R is that on described curve, any point, apart from the vertical range of abscissa axis Z, regulates and changes asphericity coefficient, make the spherical aberration of eyeglass under 6mm aperture be zero.
The outside surface of described Ortho-K carries out Rotational Symmetry change by described curve negotiating around axis of ordinates R and obtains.
The outside surface of Ortho-K of the present invention is that the design example of high order aspheric surface sees the following form 2, and wherein sphere spherical aberration one hurdle refers to the spherical aberration that existing design (not adopting aspheric surface) eyeglass is remaining.
The eyeglass outside surface of table 2 Ortho-K of the present invention is the design example data of high order aspheric surface
Sequence number |
Sphere spherical aberration μm |
The present invention designs spherical aberration |
A4 |
A6 |
A8 |
A10 |
1 |
0.015 |
0 |
1.528041E-05 |
-2.050982E-06 |
-1.533445E-07 |
2.157356E-08 |
2 |
0.011 |
0 |
1.117026E-05 |
-1.373075E-06 |
-1.460832E-07 |
1.800707E-08 |
3 |
0.002 |
0 |
3.112008E-06 |
-5.906222E-07 |
1.813115E-08 |
1.164797E-09 |
4 |
0.019 |
0 |
2.228326E-05 |
-3.279484E-06 |
-1.216079E-07 |
2.439671E-08 |
5 |
0.014 |
0 |
1.481499E-05 |
-2.119299E-06 |
-1.164147E-07 |
1.885790E-08 |
6 |
0.003 |
0 |
4.389367E-06 |
-5.986359E-07 |
-2.990403E-08 |
5.103727E-09 |
7 |
0.023 |
0 |
2.732595E-05 |
-3.548425E-06 |
-2.618622E-07 |
3.686374E-08 |
8 |
0.018 |
0 |
1.857113E-05 |
-2.655680E-06 |
-1.456848E-07 |
2.352607E-08 |
9 |
0.004 |
0 |
1.001356E-05 |
-2.925773E-06 |
3.286235E-07 |
-1.371375E-08 |
Cornea K value, degree of falling and front and rear surfaces radius-of-curvature corresponding to the eyeglass of sequence number 1-9 see the following form 3.
Cornea K value, degree of falling and front and rear surfaces radius-of-curvature that table 3 1-9 eyeglass is corresponding
Sequence number |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
K value/D |
39.5 |
39.5 |
39.5 |
43.0 |
43.0 |
43.0 |
46.5 |
46.5 |
46.5 |
Degree of falling/D |
-0.5 |
-3.0 |
-6.0 |
-0.5 |
-3.0 |
-6.0 |
-0.5 |
-3.0 |
-6.0 |
Ra/mm |
8.749 |
9.420 |
10.357 |
8.031 |
8.592 |
9.364 |
7.422 |
7.899 |
8.545 |
Rp/mm |
8.766 |
9.441 |
10.305 |
8.036 |
8.599 |
9.310 |
7.418 |
7.895 |
8.491 |
Ortho-K of the present invention can control to reverse the difference of refractive power of arc and base arc a stable value, thus ensures tear storage area capacity stablizes, the security of guarantee lens wear and validity; Improve the matching degree of eyeglass match arc district and cornea shape, and reduce arc district linking hop count, improve surface smoothness; Visual quality when patient wears can be improved simultaneously.
Embodiment is above only illustrative rather than restrictive.Therefore, when not departing from invention disclosed herein design, those skilled in the art can modify to above-described embodiment or change.Therefore, protection scope of the present invention is only limited by the scope of appended claims.