Background technology
Presbyopia is the main visual impairment of elderly population.That the presbyopia wearer needs is far away, in, the vision correcting of the different distance such as near, therefore require different correction of refractive errors functions is integrated into on a slice eyeglass, form the glasses of a plurality of focuses.Traditional two light microscopics and three light microscopics can only be realized vision correcting to several discrete distances in several discrete visual zone, can't obtain the Continuous Vision of whole process, and have significantly picture jumping, the comfort level that impact is worn at the place, separatrix of different visual zone.
Progressive multi-focus lens based on the free form surface technology has overcome the problems referred to above, for the wearer provides from far point to omnidistance, the continuous clear vision of near point.Different from two light microscopics is, the rear surface radius-of-curvature of progressive multi-focus lens begins to increase to gradually, continuously a fixed value to looking near point by certain Changing Pattern from looking far point, and the wearer only needs can make the eyesight of any distance reach clear with the eyeball vertical rotation near the nature physiological status.
The progressive multi-focus lens surface is divided into four zones: look far field, near reading range, intermediate transition zone and aberration district.Be positioned at the broad area of eyeglass the first half depending on the far field, contain to correct and look ametropic prescription far away, clear, the broad visual field is provided.Near reading range is positioned at looks about 10~18 mm of circle of reference central lower far away, about 2~3 mm of nasal side, and it is different with preparing pattern that concrete numerical value is looked nearly additional amount.Intermediate transition zone also is the gradual change passage, and its length can be set according to actual needs, and its width then depends on the factors such as size in number of degrees rate of change and aberration zone.The length of intermediate transition zone, width and add the scope of activities that light quantity defines wearer's eyes have directly determined the adaptability of human eye to progressive multi-focus lens.The aberration district is except looking far field, near reading range and intermediate transition zone, and aberration can't satisfy the lens periphery zone of human eye normal vision requirement, is mainly astigmatic image error and prism aberration, affects the wearer to the adaptation of eyeglass.
Usually reality available look effective visible sensation zone or the effective field of view that far field, near reading range and intermediate transition zone are referred to as progressive multi-focus lens.But in fact it comprise aberrationless zone and the zone of aberration in the individuality tolerance range.Objectively, in the impact/principal element of near-sighted wild scope is distribution and the situation of change of astigmatic image error.
Desirable progressive multi-focus lens does not have aberration, but this preparation also can't realize at present.The purpose of face type optimization preparation is just carried out reasonable layout with aberration at lens surface, and can't eliminate aberration fully.The basic demand that progressive multi-focus lens need to satisfy comprises and has large as far as possible effective visible sensation zone, short gradual change passage and less aberration variable gradient.Preparation person sets the weight factor of each preparation parameter often according to wearer's real needs, and balance and compromise by preparation parameter come progressive multi-focus lens is carried out the optimization of face type and function.
Generally, progressive multi-focus lens increases progressively along the gradual change passage at the sphere diameter degree of intermediate transition zone, simultaneously near the astigmatism district intermediate transition zone, the edge is perpendicular to the gradual change channel direction, astigmatic image error also is to increase progressively gradually, and the increasing velocity of astigmatic image error is about 2 times of sphere diameter degree increasing velocity.This just means that short gradual change passage will produce the effective visible sensation zone that larger astigmatic image error simultaneously can contract lenses.The soft preparation two class preparation modes of the rigid preparation of high gradual change degree, high astigmatic image error, jitty and low gradual change degree, low astigmatic image error, long-channel have been produced thus.
Summary of the invention
The purpose of this invention is to provide a kind of free form surface progressive multi-focus lens and method for designing thereof.The eyeglass jitty of the present invention design, low astigmatic image error, and differ the gradual change degree of astigmatism value in the zone less than the gradual change degree of middle transition zone inside surface sphere diameter degree, Effective Raise wearer's comfort level.
The method for designing of a kind of free form surface progressive multi-focus lens of the present invention may further comprise the steps:
(a) primary face type structure:
The face type structure of free form surface progressive multi-focus lens adopts the rotational symmetry quadric surface formula of expansion to construct, and formula is:
Wherein,
Be the volume coordinate of each point,
Be the curvature tensor of each point,
Be the whose conic coefficient tensor;
Structure meridian navel line: successively connect and look far point, adaptive point, look near point and obtain meridian navel line, when looking near point and looking far point and have lateral shift, meridian navel line is curve; When looking near point and looking far point and do not have lateral shift, meridian navel line is the longitudinal centre line of eyeglass;
Structure primary face type: set eyeglass and look far point and the sphere diameter degree of looking near point, utilize the non-linear interpolation method of high-order to calculate the sphere diameter degree of each point on the meridian navel line, known eyeglass refractive index simultaneously, can calculate every bit on the meridian navel line in the x-direction with the initial curvature of y direction
With
, and curvature
All be made as zero; Simultaneously with the whose conic coefficient tensor of each point
Also be made as zero, calculated the initial rise of each point on the eyeglass by the rotational symmetry quadric surface formula of expansion.At this moment, the rotational symmetry quadric surface formula of expansion just deteriorates to common quadric surface formula, and what obtain is exactly the face type of traditional progressive multi-focus lens.
(b) surface optics property calculation
Then utilize differential geometric fundamental formular to calculate the minimum and maximum radius-of-curvature of respective point
With
Thereby, obtain the lens surface optical characteristics, i.e. surperficial sphere diameter degree and the astigmatism value of each point:
Surface sphere diameter degree
, the astigmatism value
N is the refractive index of lens materials;
(c) the face type is optimized:
The optimization of face type divides two stages, and the astigmatism value that obtains in the phase one selecting step (a) is carried out the optimization of face type greater than each point of 0.05D: with whose conic coefficient in the step (a)
With
Be made as variable,
With
Variation range be-0.5~+ 0.5, the discretize value, all the other parameters remain unchanged, and are right
,
Value combination travels through, one group of data of every selection calculate the astigmatism value of this point with regard to the equation with step (b), finds out at last to have minimum astigmatism value
,
Value, and keep; Subordinate phase keeps on the basis of phase one optimization
With
Constant, with in the each point curvature tensor
Be made as variable,
Variation range be-0.01~+ 0.01, the discretize value, all the other parameters remain unchanged, and are right
Value travels through, data of every selection calculate the astigmatism value of this point with regard to the equation with step (b), finds out at last to have minimum astigmatism value
Value obtains the surface type of final free form surface progressive multi-focus lens.
A kind of free form surface progressive multi-focus lens that designs according to the method for designing of above-mentioned eyeglass, eyeglass comprises former and later two workplaces, it is characterized in that: have at least one to be the free form surface of complicated non-rotating symmetry in former and later two workplaces of eyeglass, eyeglass can provide comprise look far away, look neutralization and look near omnidistance clear vision.
The first half of described eyeglass is the effective visible sensation zone, looks the Jia Guang district comprising the side with district and both sides far away in the middle of being positioned at.
Described far away with the district working range can reach 130 the degree, the astigmatism value is less than 0.05D.
Adding the luminosity number and can arriving eyeglass integral body and add 50% of luminosity number of Jia Guang district, are looked on described side, and this zone astigmatism value is less than 0.25D.
Near the described eyeglass horizontal middle spindle long and narrow zone is the astigmatism district, and iseikonia non-dramatic song line is approximate to distribute in horizontal direction, and this horizontal level is eyeglass adds light along meridian navel line reference position just.
Described eyeglass the latter half is the astigmatism district near the meridian navel line left and right sides, and iseikonia non-dramatic song line is approximate to distribute in vertical direction, when surperficial sphere diameter degree adds light 2.00D, and astigmatism Zhi<=1.30D.
It is described that surperficial sphere diameter degree adds the Chang Du in Tong road of optical position<=11 mm from lens optical center to 85% along meridian navel line.
When described surperficial sphere diameter degree added light 2.00D, the gradual change channel width of intermediate transition zone can reach 8 mm, and it is less to add luminosity, and passage is wider.
The gradual change degree of astigmatism value is less than the gradual change degree of middle transition zone inside surface sphere diameter degree in the described aberration zone.
Beneficial effect of the present invention is: free form surface progressive multi-focus lens provided by the invention adopts the rotational symmetry quadric surface formula of expansion to make up the primary face type, by the whose conic coefficient of effects on surface each point and the iteration optimization of curvature parameters, the free form surface progressive multi-focus lens after being optimized.The more common progressive multi-focus lens of free form surface progressive multi-focus lens among the present invention has the more clear and open zone of using far away, far can also provide desirable other peripheral visual acuity with regional both sides.Free form surface progressive multi-focus lens among the present invention has wider gradual change passage, can allow the wearer clearly see the middle distance object of 70 cm~90 cm, and eyeglass also has the near with the zone of certain limit simultaneously.Free form surface progressive multi-focus lens of the present invention has that astigmatism distribution is soft, the astigmatism value is little, passage is short, the regional large advantage of effective visible sensation.
Embodiment
Embodiment one
A kind of free form surface progressive multi-focus lens, eyeglass comprises former and later two workplaces, and the eyeglass inside surface is the free form surface of the non-rotating symmetry of complexity, and outside surface is sphere, and optic diameter is 60 mm.Eyeglass can provide comprise look far away, look neutralization and look near omnidistance clear vision.
Below in conjunction with accompanying drawing present embodiment is described further.
Accompanying drawing 1 be free form surface progressive multi-focus lens inside surface along the change curve of the surperficial sphere diameter degree of meridian navel line, far away with the surperficial sphere diameter degree in district substantially keeping-6.50D is constant, with distinguishing to the lens optical center, the variation range of surperficial sphere diameter degree is less than 0.05D from far away.With in distinguishing, the variation of surperficial sphere diameter degree is less than 0.02D far away.The first half function and the single vision lenses that is to say the free form surface progressive multi-focus lens are close, and adding light action mainly is to be assigned to realize by the Lower Half of eyeglass.
The middle distance visual performance zone of eyeglass originates in 4 mm places, eyeglass geometric center top, namely adds the light reference position, is called adaptive point.In-15 mm scopes, surperficial sphere diameter degree increases to-4.50D gradually from 4 mm, and keeps in district's scope stablizing near the using of-20 mm at-15 mm, and amplitude of variation produces the number of degrees fade effect of eyeglass thus less than 0.02D.The luminosity number that adds of free form surface progressive multi-focus lens is defined as nearly poor with reference point and surperficial sphere diameter degree with reference point far away, or nearly poor with district and the maximized surface sphere diameter degree with the district far away, and therefore, eyeglass shown in Fig. 1 has the light that adds of 2.00D.
Surperficial sphere diameter degree adds optical position and is defined as passage length from lens optical center to 85% along meridian navel line.In Fig. 1,85% to add the luminosity number be 1.70D, and corresponding passage length is 10 mm.The passage length of common progressive multi-focus lens generally 13 mm or more than, be difficult to reach the passage length requirement in the present embodiment.
Fig. 2 is the level line profile diagram of free form surface progressive multi-focus lens inside surface, has comprised 1 mm, 2 mm, 3 mm, 4 mm and 5 mm totally 5 level lines.Owing to be free form surface, level line all is irregular closed curve, and first regional rise of eyeglass is greater than second regional rise of eyeglass, the rise of eyeglass coboundary and lower limb rise aberration 1 mm, and the left and right edges rise is more or less the same.
Fig. 3 is the surperficial sphere diameter degree distribution plan of free form surface progressive multi-focus lens, curve is that the each point by similar face sphere diameter degree is connected to form, comprise-4.50D ,-4.75D ,-5.00D ,-5.25D ,-5.50D ,-5.75D ,-6.00D ,-6.25D ,-6.50D sphere diameter degree distribution curves such as totally 9.The center of waiting sphere diameter degree closed curve in the near reading range and the center of looking closed curve such as degree such as sphere diameter such as the grade far field in be not on the same vertical line.Reason is the translational movement of looking nearly reference point with respect to looking reference point far away and turn right in the horizontal direction 2 mm, and the meridian navel line that namely sets is three sections crooked line segments, and two tie points of line segment are located at respectively the optical centre of eyeglass and closely use reference point locations.Meridian navel line also can be the buckling curve that links up.Therefore, the surperficial sphere diameter degree of free form surface progressive multi-focus lens distributes and does not have left-right symmetric.Can judge that according to the offset direction of looking near point eyeglass shown in this example is to design for left eye.
Fig. 4 is the surperficial astigmatism distribution figure of free form surface progressive multi-focus lens, curve is that the each point by identical astigmatism value is connected to form, comprise 0.25D, 0.50D, 0.75D, 1.00D and 1.25D, astigmatism value distribution curves such as totally 5, owing to look the laterally offset of nearly reference point, waiting astigmatism value curve also is asymmetric distribution in the eyeglass left and right sides.The first half of eyeglass is the effective visible sensation zone, comprises that the Jia Guang district is looked on the side with district and both sides far away in the middle of being positioned at.Be 130 degree with district's working range far, the astigmatism value is less than 0.05D.The side is looked the luminosity that adds in Jia Guang district and is counted to and reach eyeglass integral body and add 50% of luminosity number, and this zone astigmatism value is also less than 0.05D, is conducive to promote peripheral visual acuity and dynamic vision when far away looking.
Near the eyeglass horizontal middle spindle long and narrow zone is the astigmatism district, and iseikonia non-dramatic song line is approximate to distribute in horizontal direction, and this horizontal level is eyeglass adds light along meridian navel line reference position just.Eyeglass the latter half is all the astigmatism district near the meridian navel line left and right sides, and iseikonia non-dramatic song line is approximate to distribute in vertical direction, is parallel to meridian navel line, and the gradual change channel width of the intermediate transition zone of two 0.25D astigmatism value curve formation is 10mm.The maximum astigmatism value of the astigmatism curve regions of vertical distribution is 1.25D, and the nearly interior astigmatism value in zone of using in gradual change passage below is all less than 0.05D.
From Fig. 3 and Fig. 4, can find out that the gradual change degree of astigmatism value in the aberration zone is less than the gradual change degree of middle transition zone inside surface sphere diameter degree.
Embodiment one designed free form surface progressive multi-focus lens is that the inside surface face type optimization by eyeglass obtains.The face type structure of free form surface progressive multi-focus lens inside surface adopts the rotational symmetry quadric surface formula of expansion to construct, and formula is:
Wherein,
Represent the volume coordinate of each point,
Be the curvature tensor of each point,
Be the whose conic coefficient tensor;
At first construct meridian navel line: successively connect and look far point, adaptive point, look near point and just obtain meridian navel line, depending near point with look far point and have lateral shift, meridian navel line is curve.
Construct again the primary face type: set eyeglass and look far point and the sphere diameter degree of looking near point, utilize the non-linear interpolation method of high-order to calculate the sphere diameter degree of each point on the meridian navel line, known eyeglass refractive index simultaneously, calculate every bit on the meridian navel line in the x-direction with the initial curvature of y direction
With
, and curvature
All be made as zero; Simultaneously with the whose conic coefficient tensor of each point
Also be made as zero, calculated the initial rise of each point on the eyeglass by the rotational symmetry quadric surface formula of expansion.
Then utilize differential geometric fundamental formular to calculate the minimum and maximum radius-of-curvature of respective point
With
Thereby, obtain the lens surface optical characteristics, i.e. surperficial sphere diameter degree and the astigmatism value of each point:
Surface sphere diameter degree
, the astigmatism value
N is the refractive index of lens materials;
Be optimized on this face type basis, the optimization of face type divides two stages, and the astigmatism value that obtains in the phase one selecting step (a) is carried out the optimization of face type greater than each point of 0.05D: with whose conic coefficient in the step (a)
With
Be made as variable,
With
Variation range be-0.5~+ 0.5, the discretize value, all the other parameters remain unchanged, and are right
,
Value combination travels through, one group of data of every selection just recomputate the astigmatism value of this point, finds out at last to have minimum astigmatism value
,
Value, and keep; Subordinate phase keeps on the basis of phase one optimization
With
Constant, with in the each point curvature tensor
Be made as variable,
Variation range be-0.01~+ 0.01, the discretize value, all the other parameters remain unchanged, and are right
Value travels through, data of every selection just recomputate the astigmatism value of this point, finds out at last to have minimum astigmatism value
Value; Through 2 iteration optimization of taking turns, obtain the surface type of final free form surface progressive multi-focus lens.
The present invention is not subjected to the free form surface progressive multi-focus lens to add the restriction that luminosity is counted requirement, and comparatively speaking, the lens optical characteristic after adding that the luminosity number is lower and then optimizing is better.The present invention is equally applicable to the progressive multi-focus lens of face type left-right symmetric type.
Example shown in the invention is not restricted to.Outside surface such as eyeglass is not limited only to sphere, can also be aspheric surface or ring curved surface.And can be optimized the outside surface to progressive multi-focus lens equally and make it become free form surface, and inside surface is sphere, aspheric surface or ring curved surface.Certainly, inside surface and outside surface can be free form surface simultaneously also.