A kind of eye lens for glasses wearer's customization and preparation method thereof
Technical field
The present invention relates to a kind of method for designing of personalization eye lens, consider human eye pupil position particularly to one kind
With lens tilt factor, carry out the eyeglass that the method for designing of eyeglass and processing obtain.
Background technology
In the art it is known that glasses are used for the correction of dysopia.The dysopia of eyeglass wearer passes through
Describing, vision prescription provides the diopter of required lenses fitted, astigmatism to the vision prescription that ophthalmologist or optometrist provide
The parameters such as degree, astigmatism direction, lens materials refractive index.The producer of eyeglass then according to vision prescription design, manufacture, finally uses
Mean power in industry defined point zonule on lens tester testing lens and astigmatism.
It is true that sight line moves with the position of thing when human eye regards thing, eyeglass wearer eyeball rotates, by mirror
The zones of different of piece is watched.Because eyeglass has certain thickness, the curvature of former and later two refractive surfaces is different, sight line warp
The zonule crossed is equivalent to a lenslet, and these lenslets are each variant, and the state of dioptric imaging also belongs to different axle
Foreign object is imaged.So, the region that the actual diopter (refracting power of eyeglass) experienced of human eye is passed through with sight line occurs
Change, and different with the change in sagitta of arc both direction in meridian.That is the mean power of monocline apparent time (is not looked side ways
Luminosity) change with the diopter (paraxial luminosity) when facing, but also produce additional astigmatism (stravismus astigmatism).
Path that human eye sight is passed through in eyeglass, eyeglass zones of different are equivalent to the dioptric imaging of lenslet, its refraction
The surface configuration of state and eyeglass, thickness, the inclined degree vertically and horizontally of eyeglass and the oculopupillary position of people are close
Cut is closed, so that the actual diopter experienced of human eye is also closely related with these factors.These factors are strong by glasses wearer
Eyeglass lens power just needed for dysopia, the face shape of glasses wearer, selected spectacle frame shape determines.
Obviously, in order to obtain optimal visuality it is necessary to refracting power under concern lenses fitted state, the setting of eyeglass
Meter and detection will be carried out according to the demands of individuals of each glasses wearer.But the lens tester of currently available technology, including lens meter,
The Class Plus surface type measurement instrument hartman test of Rotlex company, Ronchi grating method of testing etc., all do not account for human eye
Eyeglass and human eye pupil are not also combined and are detected by the rotation of eyeball.In the design aspect of eyeglass, Chinese invention patent
(CN 103123420B) disclose a kind of using using eyeglass eye pupil as an optical system method, to obtain eyeglass
Ball photometric distribution and astigmatism distribution, the method is directed to two-sided free form surface, calculates the eyeglass front and rear surfaces of sight line process
On position and corresponding curvature.Even if Chinese invention patent CN102422201 discloses one kind and is embedded into has front greatly visual angle
Mirror holder also can obtain the good visual field eyeglass shape data generation method, this invention is mainly focused on reduction mirror
The left and right of piece prismatic action is unbalanced.Above-mentioned two patent all not yet points out that during people's anorthopia, each zonule is as the axle of lenslet
Outer imaging features and the method for designing being adapted with it.Chinese invention patent CN 102419482B is disclosed one kind and is set with optics
Count software ZEMAX as the double-sized non-spherical nearsighted eyeglass of Platform Designing it is contemplated that the stravismus astigmatism of eyeglass is as optimization bar
One of part, but be not involved with glasses wearer and put on one's glasses the tilt condition of rear lens.The middle promulgated by the State Council of Publication No. CN 1511270
Bright patent disclosure one kind considers oculomotor method for designing spectacle lenses, also without the inclination being related to eyeglass.
Content of the invention
The present invention is directed to the visual impairment only taking glasses wearer in existing personalized eye lens design into account, is not directed to glasses wearer
Face shape and the selected defect existing for mirror holder feature, provide one kind to make glasses wearer avoid appearance under stravismus state big
Power Error and astigmatism phenomenon, there are eye lens of the good visual field and comfort and preparation method thereof.
The technical scheme realizing the object of the invention is to provide a kind of preparation method of the eye lens for glasses wearer's customization, bag
Include following steps:
(1) optometry is carried out to the glasses wearer of customization eye lens, its vision prescription includes following parameter:Surely get the right lensses for one's eyeglasses requirement
Sign eyeglass refracting power dioptric optical value D0, the refractive index of lens materials to be processed, lenses load the spectacle frame selected
Make glasses, glasses wearer put on one's glasses after lens tilt angle;Described inclination angle includes the vertically and horizontally inclination angle of eyeglass, and
Pupil position;When described pupil position is looked squarely for glasses wearer, the intersection point of sight line and eyeglass is to the distance of pupil;
(2) pupil position, lens tilt angle and the eyeglass rise data to be evaluated providing according to vision prescription, sets up and evaluates
Model, obtains evaluation result stravismus diopter DrWith stravismus astigmatism Cr;The method for building up of described evaluation model is:Using curved surface
Differential Geometry method, by ray tracing, calculates the path that a certain view directions enter into human eye pupil chief ray process, key light
Line and the position of eyeglass front and rear surfaces intersection point, and correspond to principal normal, angle of incidence and refraction angle, meridian plane and the sagitta of arc of point of intersection
The curvature in face, meridian direction and sagitta of arc direction;According to the outer light pencil image-forming principle of axle, respectively obtain meridian image point and sagittal image point
Position, and then respectively obtain the stravismus diopter D in this correspondence view directions for the human eye sightrWith stravismus astigmatism Cr;Described is oblique
Depending on diopter DrIt is the dioptric meansigma methodss of meridian and sagitta of arc direction being determined by the position of described meridian and sagittal image point;Described
Stravismus astigmatism CrBe by described meridian and sagittal image point position determine meridian and sagitta of arc direction diopter difference exhausted
To value;
(3) the diopter D providing according to vision prescription0With the refractive index of lens materials to be processed, select eyeglass to be processed
Front surface, the spheric curvature on rear surface and lens center thickness, all obtain the arrow of initial lens with front and rear surfaces for spherical design
High data;With the rise data of described initial lens for eyeglass rise data to be evaluated, the condition being 0 at lens tilt angle
Under, evaluated using the evaluation model described in step (2), obtained the evaluation result stravismus diopter D of initial lensrAnd stravismus
Astigmatism Cr;With at the sight line of 35 degree of human eye visual angle | (Dr-D0)/D0| it is not more than 0.125 and CrIt is not more than 0.125 | D0| for target
Described initial lens are carried out aspheric surface optimization design, obtain the rise data of aspherical lens by value;
(4) the rise data of the aspherical lens being obtained with step (3) is eyeglass rise data to be evaluated, carries according to prescription
For lens tilt angle value, evaluated using the evaluation model described in step (2), according to evaluation result, at central vision
Diopter consistent with prescription, and in the visual line of sight of 30 degree of human eye visual angle, stravismus diopter deviates percentage ratio | (Dr-D0)/D0|
It is not more than 0.125, look side ways astigmatism CrIt is not more than 0.125 | D0| for desired value, the rise data of described aspherical lens is carried out
Compensation Design, obtains asymmetrical eyeglass rise data;
(5) according to the rise data mart modeling eyeglass of asymmetric curve lens obtaining, obtain a kind of for glasses wearer's customization
Eye lens.
In technical solution of the present invention, step (3) aspherical lens that obtain of design, are that the one side of rear surface or front surface is non-
The double-sized non-spherical eyeglass of spherical lenses or front and rear surfaces.
The asymmetrical eyeglass rise data that the present invention provides, the rise data of the aspherical lens being obtained with step (3)
Based on, along with rise offset;Described rise offset be using asymmetry compensation and central vision at diopter
The rise offset that compensation method obtains.
Specifically, the rise offset that asymmetry compensation method obtains can be calculated as follows and obtain:
Zc(x, y)=bx(x±xd)3+by(y+yd)3,
Wherein, bx、byIt is respectively horizontal and vertical cubic term coefficient;xdFor transverse shifting millimeter, according to left and right mirror
Difference takes positive and negative number respectively to temporo side shifting;ydFor vertically moving millimeter.
Diopter compensation method at described central vision is the curvature of centre on adjustment lens front surface or rear surface, makes
Diopter at central vision obtained rise offset consistent with prescription.
Technical solution of the present invention also includes being prepared as described above a kind of eye lens for glasses wearer's customization that method obtains.
When compared with prior art, by technical solution of the present invention design eyeglass, the vision prescription providing is removed and is included diopter
Outside the routine optometry parameter such as value, Refractive Index of Material, also requirement provides glasses wearer and puts on mirror after the made glasses of selected spectacle frame
The vertically and horizontally inclination angle of piece, and when glasses wearer looks squarely, sight line and the intersection point of eyeglass, to the distance of pupil, therefore, are designing mirror
The visual impairment of glasses wearer is not only account in piece, simultaneously also with respect to face shape and the selected mirror holder feature of glasses wearer,
A kind of eyeglass of asymmetric curved-surface structure is obtained using the method for aspheric design plus Compensation Design;The eyeglass that the present invention is provided
It is arranged on after making glasses on spectacle frame, glasses wearer can be made to effectively reduce the dioptric deviation of stravismus under stravismus state and look side ways
Astigmatism, improves the accuracy corrected defects of vision in different sight direction, has the good visual field and comfort.
Brief description
Fig. 1 enters into the oculopupillary side schematic view of people for light through eyeglass;
Fig. 2 shows the schematic diagram of eyeglass horizontal tilt for glasses wearer after putting on one's glasses;
Fig. 3 is that the evaluation model being provided by the present invention carries out the one of refracting power evaluation under no inclination conditions to eyeglass
Individual example, the diopter of display meridian and sagitta of arc both direction is with human eye visual angle change curve chart;
Fig. 4 is that the evaluation model being provided by the present invention carries out refracting power evaluation to eyeglass in the case of vertical tilt
One example, the diopter of display meridian and sagitta of arc both direction is with human eye visual angle change curve chart;
Fig. 5 is a kind of design flow diagram of asymmetric curved surface eye lens provided in an embodiment of the present invention;
Fig. 6 for the embodiment of the present invention 2 provide by glasses-eye pupil model to initial lens in the case of nonangular
Refracting power evaluation result, display vertical and horizontal both direction changes stravismus diopter and stravismus astigmatism with human eye visual angle
Change;
Fig. 7 is inclined in nothing to the eyeglass through aspheric design by glasses-eye pupil model for what the embodiment of the present invention 2 provided
Refracting power evaluation result in the case of tiltedly, display vertical and horizontal both direction changes stravismus diopter with human eye visual angle
Change with stravismus astigmatism;
Fig. 8 is being tilted to the eyeglass through aspheric design by glasses-eye pupil model for what the embodiment of the present invention 2 provided
In the case of refracting power evaluation result, display vertical and horizontal both direction on human eye visual angle change stravismus diopter and
The change of stravismus astigmatism;
Fig. 9 for the embodiment of the present invention 2 provide by glasses-eye pupil model to the eyeglass through aspheric surface and Compensation Design
Refracting power evaluation result under inclination conditions, display vertical and horizontal both direction changes stravismus with human eye visual angle and bends
Luminosity and the change of stravismus astigmatism;
Figure 10 for the embodiment of the present invention 2 provide by glasses-eye pupil model to initial lens in the case of nonangular
Refracting power evaluation result, display vertical and horizontal both direction on human eye visual angle change stravismus diopter and stravismus picture
Scattered change;
Figure 11 for the embodiment of the present invention 2 provide by glasses-eye pupil model to the eyeglass through aspheric design no
Refracting power evaluation result under inclination conditions, display vertical and horizontal both direction changes stravismus dioptric with human eye visual angle
Degree and the change of stravismus astigmatism;
Figure 12 is being inclined to the eyeglass through aspheric design by glasses-eye pupil model for what the embodiment of the present invention 2 provided
Refracting power evaluation result in the case of tiltedly, display vertical and horizontal both direction changes stravismus diopter with human eye visual angle
Change with stravismus astigmatism;
Figure 13 for the embodiment of the present invention 2 provide by glasses-eye pupil model to the mirror through aspheric surface and Compensation Design
Refracting power evaluation result under inclination conditions for the piece, display vertical and horizontal both direction changes stravismus with human eye visual angle
Diopter and the change of stravismus astigmatism.
Specific embodiment
With reference to the accompanying drawings and examples technical solution of the present invention is further described.
Embodiment 1:
Pupil position, lens tilt angle and eyeglass rise data to be evaluated that the present embodiment provides according to vision prescription, build
Vertical one kind is to look side ways diopter DrWith stravismus astigmatism CrFor the evaluation model of evaluation result, during for being looked side ways by eyeglass to human eye
The actual refracting power of eyeglass is evaluated.
Referring to accompanying drawing 1, it enters into the oculopupillary side schematic view of people for light through eyeglass;Illustrated in Figure 1 is edge
It is embedded in the vertically outside inclination angle Γ of the upper eyeglass of spectacle framev, human eye visual angle Φr, it is oculopupillary that a certain view directions enter into people
Angle of incidence Α in lens front surface for the path of chief ray (corresponding to sight line) and process1, the outgoing on lens posterior surface
Angle Β2.
Referring to accompanying drawing 2, it is the schematic diagram showing eyeglass horizontal tilt after glasses wearer puts on one's glasses;In figure ΓLAnd ΓRRespectively
Horizontal tilt angle for left mirror and right mirror.To look squarely sight line straight line P that is parallel and passing through lens front surface center for sitting with eyes
The Z axis of mark system, are the x/y plane of coordinate system by the front surface center plane vertical with Z axis.The face shape arrow of eyeglass front and rear surfaces
Height passes through coordinate transform according to the inclination angle that vision prescription provides in coordinate system, is vertically and horizontally rotated;Through coordinate
Lens front surface rise after conversion, lens posterior surface rise after coordinate transform add lens thickness, according to optometry at
The eye pupil position that side is given, as the starting point of sight line, is configured to optical system to eyeglass on glasses wearer's different sight direction
Refracting power is evaluated.
The present embodiment will allow for the face shape of glasses wearer and selected mirror holder feature, the pupil providing according to vision prescription
Position, lens tilt angle and eyeglass rise data to be evaluated, set up evaluation model, obtain evaluation result stravismus diopter DrWith oblique
Video dissipates Cr, for designing eyeglass;Described evaluation model is:Using the Differential Geometry method of curved surface, by ray tracing, count
Calculate the path that a certain view directions enter into human eye pupil chief ray process, the position of chief ray and eyeglass front and rear surfaces intersection point,
And correspond to the curvature of the principal normal, angle of incidence and refraction angle, meridian plane and sagittal surface, meridian direction and sagitta of arc direction of point of intersection;
According to the outer light pencil image-forming principle of axle, respectively obtain the position of meridian image point and sagittal image point, and then respectively obtain human eye sight
Stravismus diopter D in this corresponding view directionsrWith stravismus astigmatism Cr;Described stravismus diopter DrIt is by meridian and sagitta of arc picture
The dioptric meansigma methodss of meridian and sagitta of arc direction that point position determines;Described stravismus astigmatism CrIt is by meridian and sagittal image point position
Put the meridian of determination and the absolute value of the difference of diopter in sagitta of arc direction.
The optical system being constituted by the evaluation model that the present invention provides, its emergent pupil is the eye pupil of aperture very little,
According to the reversible law of light path, along sight line opposite direction from thing to eye pupil, be axle outer light pencil imaging, the beam axis of light pencil claim
For chief ray.By the Differential Geometry method of curved surface, by ray tracing, calculate the road entering into human eye pupil chief ray process
The principal normal of footpath, the position of front and rear surfaces on eyeglass, and eyeglass front and rear surfaces correspondence position, angle of incidence and refraction angle, meridian
Face and the curvature of sagittal surface, meridian direction and sagitta of arc direction.Angle of incidence Α in lens front surface1;Refraction angle Β1, after eyeglass
The angle of incidence Α on surface2;Refraction angle Β2.Calculated shown in the such as formula (1) of meridian image point position using the outer light pencil imaging formula of axle:
Calculate sagittal image point position by formula (2):
In formula (1) and (2), Α is angle of incidence on plane of refraction for the chief ray;Β is refraction angle;NAFor incident Fang Jie
The refractive index of matter;NBRefractive index for refraction side's medium;TAFor distance from thing to refraction point for the chief ray incident on meridian plane;TB
For reflecting distance from refraction point to meridian image point for the chief ray;SAFor chief ray incident on sagittal surface from thing to refraction point away from
From;SBFor reflecting distance from refraction point to sagittal image point for the chief ray;RTCurvature half for plane of refraction meridian direction at refraction point
Footpath;RsRadius of curvature for plane of refraction sagitta of arc direction at refraction point.Formula (1) and (2) are in front surface, the refraction of two, rear surface
Apply successively on face.By infinity thing through twice reflect after meridian image point position and sagittal image point position, you can calculate appearance
The refracting power diopter in meridian direction and sagitta of arc direction on certain zonule of piece.Meridian and sagitta of arc direction refracting power diopter
Meansigma methodss be stravismus diopter, along radial direction r somewhere stravismus diopter be Dr.Meridian and sagitta of arc direction refracting power dioptric
The difference of degree is stravismus astigmatism, and the stravismus astigmatism along radial direction r somewhere is Cr.
As shown in Figure 3 and Figure 4, eyeglass to be evaluated is sphere for front and rear surfaces to the evaluation result being obtained by evaluation model
, diopter be 4 hyperopic lens.Fig. 3 is the diopter that lens tilt angle is the meridian in the case of 0 and sagitta of arc both direction
With human eye visual angle change curve chart, be shown at human eye visual angle is 35 degree, the diopter in sagitta of arc direction and vision prescription require 4
Diopter is more or less the same, but the diopter of meridian direction has differed as many as 1 degree with 4 diopters of design requirement, looks side ways diopter
Differ 0.55 diopter, and there are 1 dioptric astigmatism.
It is true that glasses wearer puts on one's glasses, rear lens has inclination, and Fig. 4 is outward-dipping 8 degree of eyeglass vertical direction, dioptric
Degree is with human eye longitudinal direction visual angle change curve chart.It is apparent that in the case that lens tilt angle is not 0 (eyeglass has inclination), stravismus
Diopter and stravismus astigmatism create asymmetric situation up and down, and at 35 degree of upward angle of visibility, the diopter in sagitta of arc direction is 4.1 dioptrics
Degree, but the diopter of meridian direction reaches 5.8 diopters, and stravismus diopter has differed 0.95 dioptric with 4 diopters of design requirement
Degree, and there are 1.7 dioptric stravismus astigmatisms.
Thus illustrate, the actual impression luminosity for the design of single-focus spectacles it is considered to during people's anorthopia and astigmatism are
Necessary.The personalized designs that rear lens tilts it is considered to glasses wearer puts on one's glasses further are also necessary.
The evaluation model based on above-mentioned foundation for the present embodiment, provides a kind of method for designing of eyeglass.
Referring to accompanying drawing 5, it is the design flow diagram of a kind of asymmetric curved surface eye lens that the present embodiment provides;Concrete step
Suddenly as follows:
1st, the dioptric optical value according to vision prescription offer and Refractive Index of Material, select the lens front surface being suitable for and rear surface
Spheric curvature and lens center thickness.Using front and rear surfaces all for sphere as initial lens, using above-mentioned assessment models to first
Beginning eyeglass carries out refracting power evaluation in the case of nonangular, obtains changing stravismus diopter and stravismus picture with human eye visual angle
Scattered change.
2nd, according to the stravismus diopter that initial lens are evaluated and stravismus astigmatism, aspheric circular cone coefficient and height are optimized
Secondary term coefficient, carries out aspheric design.The rise of non-spherical surface is determined by the functional relationship of equation below (3):
Wherein, r is the radical length of eyeglass;C is non-spherical surface curvature of centre;K is aspheric circular cone coefficient;a2mm
=2,3....6 is aspheric high order term coefficient.Deviate percentage ratio to reach stravismus diopter at the sight line of 35 degree of human eye visual angle
|(Dr-D0)/D0| it is not more than 0.125, look side ways astigmatism CrIt is not more than 0.125 | D0| for desired value, optimize aspheric circular cone coefficient
With high order term coefficient, obtain aspherical lens.This aspheric design can be the one side aspheric design of front surface or rear surface,
It can also be the double-sized non-spherical design of front and rear surfaces.
3rd, further, the aspherical lens designed are commented by evaluation model according to the inclination angle that prescription provides again
Valency.According to evaluation result, consistent with prescription with the diopter at central vision, and in the visual line of sight of 30 degree of human eye visual angle, tiltedly
Deviate percentage ratio depending on diopter | (Dr-D0)/D0| it is not more than 0.125, look side ways astigmatism CrIt is not more than 0.125 | D0| for desired value, right
The rise data of described aspherical lens compensates design, obtains a kind of rise data of asymmetric curve lens.Non- right
The rise data of curve lens be called the aspherical lens that step 2 obtains rise data add obtain by Compensation Design method
Compensate rise data.
The diopter that the method for Compensation Design is included at asymmetry compensation and central vision compensates, and is compensated rise number
According to.
Asymmetry compensation value includes horizontal and vertical cubic term value, shown in the rise offset such as formula (4) of cubic term:
Zc(x, y)=bx(x±xd)3+by(y+yd)3(4)
Wherein, bxFor horizontal cubic term coefficient, xdFor transverse shifting millimeter, the difference according to left and right mirror take respectively just,
Negative sign is to temporo side shifting.byFor longitudinal cubic term coefficient, ydFor vertically moving millimeter.
The diopter of central vision compensates to be realized by finely tuning the curvature of centre of lens front surface or rear surface.
The rise data of the aspherical lens obtaining by step 2 is added and compensates rise data, obtain asymmetric curved mirror
The rise data of piece.According to the rise data mart modeling eyeglass of the asymmetric curve lens obtaining, obtain one kind for glasses wearer's customization
Eye lens.
Embodiment 2
In the present embodiment, vision prescription provides following parameter:The right eyeglass of 3 diopter hypermetropias, refractive index 1.597.Ophthalmic lens wear
Person puts on 7 degree of the vertical tilt angle of selected spectacle frame rear lens, 5 degree of horizontal tilt angle, sight line and eyeglass when glasses wearer looks squarely
Intersection point to pupil distance be 25 millimeters.The diopter being provided according to vision prescription and Refractive Index of Material, selected front and rear surfaces
It is all sphere as initial lens, lens posterior surface 1 diopter, 597 millimeters of radius of curvature, 2.5 millimeters of lens center thickness.Right
Answer 149.5 millimeters of front surface radius of curvature.
Referring to accompanying drawing 5, carry out the design of eyeglass by the flow process that embodiment 1 provides.
First the dioptric optical value according to vision prescription offer and Refractive Index of Material, select the lens front surface being suitable for and rear surface
Spheric curvature and lens center thickness.Using front and rear surfaces all for sphere as initial lens, the assessment being provided using embodiment 1
Model carries out refracting power evaluation to initial lens in the case of nonangular, obtains changing stravismus diopter with human eye visual angle
Change with stravismus astigmatism.
In the present embodiment, by evaluation model, initial lens are reflected in the case of no tilting (inclination angle is 0)
Merit rating, obtains looking side ways diopter and stravismus astigmatism is as shown in Figure 6 with the change at human eye visual angle;In figure shows longitudinal and horizontal
Change stravismus diopter and the change of stravismus astigmatism with human eye visual angle in both direction.
Increase with human eye visual angle is looked side ways diopter and is gradually deviated from 3 diopters of prescription requirements, oblique at 35 degree of visual angle
Increase to 3.46 diopters, deviation value 0.46 diopter depending on diopter, deviate percentage ratio (Dr-D0)/D0=0.153, looks side ways astigmatism
0.78 diopter, Cr/D0=0.260.
Carry out the aspheric design of front surface again.The rise of non-spherical surface is determined by formula (3):
Non-spherical surface curvature of centre C=0.006690mm-1.Optimize aspheric circular cone coefficient K=-6.04, aspheric surface
High order term coefficient a4=-1.5 × 10-7, a6=-4.1 × 10-11.a8=5.2 × 10-14a10=-8.9 × 10-18.By evaluating mould
Type carries out refracting power evaluation to this aspherical lens in the case of no tilting (inclination angle be 0), obtains looking side ways diopter and tiltedly
Video dissipates as shown in Figure 7 with the change at human eye visual angle.At 35 degree of visual angle, stravismus diopter is 3.08 diopters, deviation value
0.08 diopter, deviates percentage ratio (Dr-D0)/D0=0.027, look side ways astigmatism 0.36 diopter, Cr/D0=0.120.Stravismus dioptric
Degree deviates and stravismus astigmatism is substantially reduced, both less than 3 dioptric 0.125 times.
Further, the aspherical lens to design, the vertical tilt angle according to prescription offer is 7 degree, horizontal tilt angle is 5
Degree, is revalued by evaluation model, 7 degree of eyeglass upper section slants outward, and eyeglass right inward tilts 5 degree (right eyeglass);Its
Refracting power evaluation result is as shown in Figure 8.After lens tilt, the actual refracting power of change with human eye sight direction occurs
Great changes, the diopter at center of lens sight line deviate from 3 diopters of prescription requirements, be 3.056 diopters.Up and down,
The stravismus diopter deviation of left and right directions is substantially asymmetric, is 3.36 diopters upwards, at downward 30 degree of visual angles at 30 degree of visual angles
For 2.90 diopters, it is 3.30 diopters at 30 degree of visual angles of nasal side, be 2.97 diopters at the visual angle of 30 degree of temporo side.Up and down, left and right
The stravismus astigmatism in direction is also substantially asymmetric, is 0.69 diopter upwards, bends for 0.09 at downward 30 degree of visual angles at 30 degree of visual angles
Luminosity, is 0.62 diopter at 30 degree of visual angles of nasal side, is 0.20 diopter at the visual angle of 30 degree of temporo side.Evaluation result shows, although
Stravismus diopter under no heeling condition for the aspherical lens of design deviates and stravismus astigmatism all meets the requirements, but glasses wearer wears
On equipped with the glasses of aspherical lens after, the actual refracting power in stravismus has greatly changed, and stravismus diopter is maximum
0.36 diopter can be deviateed, maximum stravismus astigmatism will reach 0.69 diopter, can feel under the weather during glasses wearer's stravismus.
The evaluation result providing according to the present embodiment, carries out asymmetry compensation and center to the rise data of lens front surface
Diopter at sight line compensates.Asymmetry compensation includes the cubic term value of vertical and horizontal, and the rise offset of cubic term is as follows:
Zc(x, y)=bx(x±xd)3+by(y+yd)3,
Wherein, horizontal cubic term coefficient bxFor 3.2 × 10-6;Transverse shifting xdFor 6.5 millimeters, right mirror adopts negative sign;Longitudinally
Cubic term coefficient byFor 4.8 × 10-6, vertically move ydFor 3.0 millimeters.
The curvature of centre of fine setting lens front surface is 0.006713mm-1Diopter to realize central vision compensates.
In the present embodiment, the rise data of the front surface of aspherical lens adds bending through asymmetry compensation and center
After the compensation rise data that luminosity Compensation Design obtains, obtain the rise data of asymmetric curve lens.This asymmetric song
The refracting power revaluing that face eyeglass carries out lens tilt by evaluation model is as shown in Figure 9.Bending at center of lens sight line
Luminosity meets 3 diopters of prescription requirements.Up and down, the stravismus diopter of left and right directions deviates and is obviously improved, 30 degree of visual angles upwards
Locate as 3.11 diopters, for 2.98 diopters at downward 30 degree of visual angles, for 3.11 diopters at 30 degree of visual angles of nasal side, 30 degree of temporo side
It is 3.00 diopters at visual angle.Up and down, the stravismus astigmatism of left and right directions is obviously reduced, and is 0.348 dioptric upwards at 30 degree of visual angles
Degree, is 0.354 diopter at downward 30 degree of visual angles, is 0.374 diopter, 30 degree of temporo side is at 30 degree of visual angles of nasal side at visual angle
0.326 diopter.
The evaluation result of evaluation model shows, glasses wearer put on equipped with aspheric surface plus Compensation Design after eyeglass, regarding
In the visual line of sight that 30 degree of angle, stravismus diopter deviates and is 0.12 diopter (between 22 degree of -28 degree of upward angle of visibility) to the maximum,
Stravismus astigmatism is 0.374 to the maximum, and all no more than 0.125 | D0|=0.375 diopter.Glasses wearer can be made no uncomfortable in stravismus
Sensation.
Make after glasses by the eyeglass that the present embodiment technical scheme provides, the stravismus diopter that can effectively reduce glasses wearer is inclined
From with stravismus astigmatism.
Embodiment 3
In the present embodiment, vision prescription provides following parameter:The left eyeglass of 6 diopter hypermetropias, refractive index 1.597.Ophthalmic lens wear
Person puts on 8 degree of the vertical tilt angle of selected spectacle frame rear lens, 6 degree of horizontal tilt angle, sight line and eyeglass when glasses wearer looks squarely
Intersection point to pupil 25 millimeters of distance.
The evaluation model providing by embodiment 1 and lens design flow process, comprise the following steps that:
1st, the first diopter according to vision prescription offer and Refractive Index of Material, selected front and rear surfaces are all sphere as initial
Eyeglass, lens front surface 1 diopter, 597 millimeters of radius of curvature, 1.2 millimeters of lens center thickness.Surface curvature radius after correspondence
85.2 millimeters.Refracting power evaluation is carried out to initial lens in the case of nonangular by glasses-eye pupil model, is looked side ways
Diopter and stravismus astigmatism are as shown in Figure 10 with the change at human eye visual angle.Increase with human eye visual angle looks side ways diopter gradually
Deviate -6 diopters of prescription requirements, stravismus diopter increases to -6.88 diopters, deviation value 0.88 dioptric at 35 degree of visual angle
Degree, deviates percentage ratio (Dr-D0)/D0=0.147, look side ways astigmatism 1.23 diopter, Cr/|D0|=0.205.
2nd, carry out the aspheric design on rear surface.The rise of non-spherical surface is determined by formula (3).Non-spherical surface center
Curvature C=0.01177mm-1.Optimize aspheric circular cone coefficient K=-3.44, aspheric surface high order term coefficient a4=1.2 × 10-9,
a6=6.7 × 10-12.A8=8.9 × 10-14a10=9.2 × 10-18, a12=-5.4 × 10-22.By evaluation model to this aspheric
Face eyeglass carries out refracting power evaluation in the case of nonangular, obtains looking side ways diopter and stravismus astigmatism with human eye visual angle
Change is as shown in figure 11.At 35 degree of visual angle, stravismus diopter is -6.03 diopters, and deviation value 0.03 diopter deviates percentage
Than (Dr-D0)/D0=0.005, look side ways astigmatism 0.30 diopter, Cr/|D0|=0.05, stravismus diopter deviates and looks side ways astigmatism all
Very little.
3rd, the aspherical lens that design is obtained, 8 degree of the vertical tilt angle providing according to prescription, 6 degree of horizontal tilt angle lead to
Cross evaluation model to be revalued, 8 degree of eyeglass upper section slants outward, slope inwardly on the left of eyeglass 6 degree (left eyeglass).Refracting power
Evaluation result such as Figure 12.After lens tilt, the diopter at center of lens sight line deviate from -6 diopters of prescription requirements,
For -6.15 diopters.Up and down, the stravismus diopter of left and right directions changes, and is -6.54 diopters upwards at 30 degree of visual angles,
It is -5.77 diopters at downward 30 degree of visual angles, is -6.46 diopters at 30 degree of visual angles of nasal side, be -5.87 at the visual angle of 30 degree of temporo side
Diopter.Up and down, the stravismus astigmatism of left and right directions is substantially asymmetric, is 1.0 diopters upwards, downward 30 degree regard at 30 degree of visual angles
It is 0.048 diopter at angle, is 0.91 diopter at 30 degree of visual angles of nasal side, be 0.18 diopter at the visual angle of 30 degree of temporo side.Evaluate
Result shows, although stravismus diopter under no heeling condition for the aspherical lens of design deviates and stravismus astigmatism all conforms to
Ask, but after glasses wearer puts on equipped with the glasses of aspherical lens, the actual refracting power in stravismus has greatly changed, tiltedly
0.54 diopter can be deviateed depending on diopter maximum, stravismus astigmatism reaches 1.0 diopters.Particularly with near-sighted glasses glasses wearer, Xiang Yuan
The open visual field is needed, the dioptric deviation of stravismus and big stravismus astigmatism can make glasses wearer have blurring of vision and head when place is seen
The uncomfortable sensation such as dizzy.
According to evaluation result, asymmetry compensation is carried out to the rise data of lens front surface and the diopter at center compensates.
Asymmetry compensation is realized by the cubic term value of vertical and horizontal, and the rise offset of cubic term is:
Zc(x, y)=bx(x±xd)3+by(y+yd)3,
Wherein, horizontal cubic term coefficient bxFor -4.2 × 10-6;Transverse shifting xdFor 7.6 millimeters, left mirror adopts positive sign;Vertical
To cubic term coefficient byFor 6.9 × 10-6, vertically move ydFor 5.2 millimeters.
The curvature of centre of fine setting lens front surface is 0.01173mm-1Diopter to realize central vision compensates.
The rise data of the front surface of the aspherical lens obtaining in design adds the rise of the cubic term of asymmetry compensation
After diopter at offset and central vision compensates, obtain a kind of rise data of asymmetric curve lens, by evaluating mould
The refracting power that type is carried out under lens tilt state is evaluated as shown in figure 13.Diopter at center of lens sight line meets prescription will
- 6 diopters asked.Up and down, asymmetric being obviously improved of the stravismus diopter deviation of left and right directions, at 30 degree of visual angles be upwards-
6.21 diopters, are -5.80 diopters at downward 30 degree of visual angles, are -6.21 diopters, 30 degree of temporo side regards at 30 degree of visual angles of nasal side
It is -5.84 diopters at angle.Up and down, the stravismus astigmatism of left and right directions is obviously reduced, and is 0.590 dioptric upwards at 30 degree of visual angles
Degree, is 0.338 diopter at downward 30 degree of visual angles, is 0.693 diopter, 30 degree of temporo side is at 30 degree of visual angles of nasal side at visual angle
0.375 diopter.
Evaluation model evaluation result shows, glasses wearer puts on the mirror of the asymmetric curved-surface structure providing equipped with the present embodiment
Piece, in the visual line of sight at 30 degree of visual angle, stravismus diopter deviates and is 0.23 diopter (at 27 degree of upward angle of visibility) to the maximum, tiltedly
Video dissipates and is 0.693 to the maximum, and all no more than 0.125 | D0|=0.75 diopter.Level of comfort during glasses wearer's stravismus changes significantly
Kind.