CN112946922B - Method for designing free-form surface progressive lens with astigmatism correction function and lens - Google Patents

Method for designing free-form surface progressive lens with astigmatism correction function and lens Download PDF

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CN112946922B
CN112946922B CN202110184934.5A CN202110184934A CN112946922B CN 112946922 B CN112946922 B CN 112946922B CN 202110184934 A CN202110184934 A CN 202110184934A CN 112946922 B CN112946922 B CN 112946922B
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progressive
lens
astigmatism
slice
free
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CN112946922A (en
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张志辉
王波
杜雪
赖锦棠
孔令豹
何丽婷
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Hong Kong Polytechnic University HKPU
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Abstract

The invention discloses a design method of a free-form surface progressive lens with corrected astigmatism and a lens, wherein the method comprises the following steps: establishing a human eye model to enable human eyes and lenses to form a complete optical system; determining a diopter progression curve meridian of the lens; obtaining a progressive slice through optimization according to the human eye model and the meridian; and performing astigmatism correction on the front surface of the progressive plate to obtain a free-form surface progressive lens with corrected astigmatism. The invention establishes a set of simple and convenient design method, can solve the problem that the astigmatism of the progressive lens is difficult to correct in the market, and can be realized by utilizing ZEMAX software, thereby greatly reducing the cost.

Description

Method for designing free-form surface progressive lens capable of correcting astigmatism and lens
The application is a divisional application of a Chinese patent application with the application number of 201410429724.8, the application date of 2014, 8 and 28, and the invention is named as a design method of a free-form surface progressive lens with astigmatism correction and a lens.
Technical Field
The invention relates to the technical field of lenses, in particular to a design method of a free-form surface progressive lens with astigmatism correction function and a lens obtained by the design method.
Background
The progressive multi-focus lens realizes continuous change of focal power by applying a free-form surface, and realizes natural connection of surface types and diopters of a far vision area and a near vision area through a transition area with continuous progressive increase of diopter. Therefore, the progressive addition lens can correct the vision at all visual fields by only one lens, and can provide a continuous clear vision from far to near.
As shown in fig. 1, the prior art progressive addition lens surface can be divided into four sections: a far vision zone 1, a near vision zone 2, a progressive zone 3 and an astigmatic zone 4. The distance vision zone 1 is located in a wide area of the upper half of the progressive addition lens, corrects the distance vision capability when human eyes are in a relaxed horizontal view state, and provides a clear and wide visual field. And the near vision zone 2 is positioned below the progressive addition lens, and the optical center of the near vision zone 2 is about 10-18 mm below the center of the far vision zone 1 and 2-2.5mm on the nasal side. The specific positions are different according to the use type and the design method of the progressive lens, the correction presbyopia degree, the interpupillary distance of human eyes, the eye using habit and the like.
The main characteristics of progressive addition lenses are: between the fixed distance vision zone 1 above the lens and the fixed near vision zone 2 below the lens there is a transition zone of continuously varying power, called progressive zone 3. In the area, the gradual increase of the refractive power (degree) of the lens is achieved through the gradual reduction of the curvature radius of the lens, the natural connection between the surface shapes and diopters of the far vision area 1 and the near vision area 2 is realized, the visual fields at different distances from far to near can be clearly imaged without fracture, and therefore the full-range continuous clear vision from the far point to the near point is provided for a wearer. Therefore, the progressive addition lens is more and more concerned by people, and the application prospect is very wide. At present, the demand for using such lenses is rising at home and abroad, however, almost all progressive lenses are imported from overseas, and the popularization and the use of such lenses are greatly influenced by the high price and the long delivery period of the progressive lenses.
In addition, on both sides of the progressive area 3 are aberration areas (or astigmatism areas) 4, which deform the object when the line of sight moves to the aberration areas, and the degree of deformation is related to the design and the addition degree of the progressive film. Although the properly matched progressive area 3 can provide clear vision for a wearer, imaging deformation is generated to a certain degree on two sides of the progressive area, the deformation degree and the deformation direction of the progressive area depend on different lens designs and the depth of an additional power, and the image quality deformation is more obvious when an eyeball is farther away from the central area of the available progressive area. Since the near zone 2 is designed spherically, the wider the near zone 2, the greater the astigmatism induced by its periphery, and conversely, the narrower the near zone 2, the peripheral distortion astigmatism induced by it also varies with the addition power, and the greater the near reading addition power, the more obvious the peripheral distortion problem.
Myopia, hyperopia and astigmatism are collectively referred to as ametropia or refractive defect, and most human eyes are somewhat astigmatic, sharing the same eyeball with a spherical defect. This is an eyeball defect that develops during the growth and development period of a human. The astigmatism defect is more complex than the spherical defect, and the size of the astigmatism defect is a vector (directional quantity), so most of the astigmatism defect can be corrected by glasses and is not afraid. Myopia, hyperopia and astigmatism all belong to the ametropia. Refractive error is caused by a change in the curvature (in general, the degree of irregularity) of the crystalline lens.
After the light passes through the normal human crystalline lens, the image is just focused on the retina, which is called emmetropia. The curvature of the lens of the myopic eye is increased, the light rays pass through the lens, the image is focused in front of the retina, and the hyperopia eye is opposite. The change in curvature of the lens is uniform for both near and distance vision, while astigmatism is not a uniform change, i.e. on the same lens, the surface irregularities cause the focus of the light not to converge, which is astigmatism. If the degree of relief is regular, (usually 360 degrees circumference in that direction) this is done with regular astigmatism which can be corrected using an astigmatic lens. If the crystals are completely irregularly uneven, such lenses cannot be machined. The lens for correcting the spherical myopia or the spherical hypermetropia is called spherical lens. The lens for correcting astigmatism is called cylindrical lens. The sphere and cylinder cannot be substituted for each other, but can be combined to form a single lens.
In addition, design software for designing lenses is almost monopolized by large foreign companies, and thus, a common lens dispensing enterprise or an individual needs to pay a considerable cost when designing lenses.
The preferred software for optical design, well known in the optoelectronic arts, is ZEMAX. The software has two main characteristics, namely, the software can realize sequence analysis and non-sequence analysis. The software is widely applied to design display systems, lighting, imaging use systems, laser systems and diffused light design applications on the global scale. ZEMAX is a comprehensive set of optical design simulation software that integrates the design concepts, optimizations, analyses, tolerances, and reports of an actual optical system. Including all the functions required for optical design, all optical systems can be designed, optimized, analyzed and with tolerance capabilities in practice, all these powerful functions are presented intuitively in the user interface. ZEMAX powerful, fast, nimble convenient is a fine comprehensive procedure. ZEMAX is capable of simulating continuous and non-continuous imaging systems as well as non-imaging systems.
In summary, how to design a progressive addition lens with relatively low price and short delivery period by combining with the ZEMAX software, and the function of correcting astigmatism is added on the progressive addition lens, has very important significance and application value.
Disclosure of Invention
In view of the problems in the prior art, the present invention aims to provide a method for designing a free-form progressive lens with astigmatism correction.
Another object of the invention is to provide a lens obtained by the method for designing a free-form progressive lens with corrected astigmatism of the invention.
The above object of the present invention is achieved by the following technical solutions:
a method of designing a free-form progressive lens with corrected astigmatism, the method comprising:
establishing a human eye model to enable human eyes and lenses to form a complete optical system;
determining a diopter progressive curve meridian;
obtaining a progressive slice through optimization according to the human eye model and the meridian;
and performing astigmatism correction on the front surface of the progressive plate to obtain a free-form surface progressive lens with corrected astigmatism.
Preferably, the human eye model is provided with a 0.6mm offset of the pupil surface in the X direction.
The design method of the invention preferably designs the diopter progressive curve meridian so that the corresponding progressive area is longer and the near vision area is shorter.
In the design method of the present invention, preferably, the method for making the corresponding progressive zone longer and the near vision zone smaller is to make the power change rate of the power distribution map smaller.
The design method of the present invention, preferably, the step of obtaining a progressive slice, comprises:
designing an initial structure of the progressive slice to obtain an initial progressive slice; and
and optimizing the initial progressive slice to obtain an optimized progressive slice.
In the design method of the present invention, preferably, the designing step of the initial progressive slice includes:
a) Setting the distance between the progressive film and the cornea in the human eye model;
b) Designing a single-focus lens;
c) Setting a plurality of structures according to the designed meridian, the plurality of structures including: the structure comprises a first structure and a second structure, wherein when the light is added to be 0D, an eyeball model in a human eye model rotates by 0 degree; a second structure, when adding light +1D, the eyeball model in the human eye model rotates downwards by 15 degrees; and in the third structure, when light +2D is added, the eyeball model in the human eye model rotates downwards by 30 degrees.
d) And setting object distances to represent three states of far vision, transition and near vision. The first structure simulates a state of hyperopia; the second structure simulates a transition state, namely eyeball turning downwards; the third structure simulates a near vision state.
In the design method of the present invention, preferably, when the progressive film is designed, the front surface is designed to be an aspherical surface, and the rear surface is designed to be a free curved surface.
The design method of the present invention, preferably, the step of optimizing the initial progressive slice to obtain an optimized progressive slice, includes:
a) Rationalizing the design of the optical system;
b) Setting a variable of the optical system;
c) And setting an evaluation function.
d) And (6) optimizing.
In the design method of the present invention, it is preferable that the variables of the optical system are set such that the maximum order is 44 and the normalized radius is 20, and the evaluation function is a set of numerical expressions for bringing the optical system close to a set of specified targets.
In the design method of the present invention, preferably, the numerical value of the evaluation function is image quality, focal length or magnification; wherein a smaller value of the merit function represents a better performance of the optical system, and a value of 0 represents an ideal state.
In the design method of the present invention, preferably, the rear surface is constructed by using an extended quadric formula, which is:
Figure BDA0002942719370000041
preferably, the designing method of the present invention, wherein the step of optimizing the initial progressive slice to obtain an optimized progressive slice further includes: and rotating the optimized progressive slice in the progressive area by 6 degrees, and carrying out balance design on corresponding points of the left and right side lenses.
The design method of the present invention preferably includes a step of performing astigmatism correction on the front surface of the progressive plate to obtain a free-form surface progressive lens having corrected astigmatism, the method including:
a) Extracting the aspheric front surface of the progressive slice as the back surface of the astigmatic lens;
b) Setting the thickness of the astigmatic lens to 0.01mm, and then optimizing the front surface of the astigmatic lens to complete the astigmatic correction;
c) Adding the astigmatic lens with astigmatic correction to the optimized progressive addition lens;
d) In three-dimensional mechanical software, the three-dimensional mechanical software becomes an entity, and finally the free-form surface progressive lens with corrected astigmatism is obtained;
e) And carrying out a simulation process of ray tracing.
In the design method of the invention, preferably, the method for optimizing the front surface of the astigmatic lens to correct astigmatism is to change the aspheric surface shape of the astigmatic lens to keep the meridian diopter of the astigmatic lens constant, and add a cylindrical lens to the astigmatism axis to correct astigmatism.
The lens of the invention is obtained by the design method of the invention.
Preferably, the lens of the present invention is made of PC material.
The design method of the free-form surface progressive lens with the corrected astigmatism, provided by the invention, can be realized by utilizing ZEMAX software by establishing a set of simple and convenient design method, can solve the problem that the progressive lens on the market is difficult to correct the astigmatism, and can also be molded, so that the cost is greatly reduced.
The design method of the present invention can be applied to the design of a progressive lens for various uses. The lens can also be added with a correction astigmatism design and an asymmetric design, so that a single lens can correct astigmatism and ensure that diopter distribution forms asymmetric distribution, the symmetry of sight lines and visual images in the physiology of both eyes is realized, and the balanced and acute binocular vision can be obtained when the lens is worn.
The design method of the invention can establish the technical reserve of design, injection molding and polishing of the localized submicron-level surface-shaped precision and nanoscale roughness free-form surface progressive lens. The dependence on foreign progressive lenses is eliminated, and the cost is greatly reduced.
Drawings
Fig. 1 is a schematic diagram of a prior art progressive addition lens.
Fig. 2 is a schematic diagram of a human eye model used in the design method according to the embodiment of the invention.
Fig. 3 is a schematic diagram of an offset selection interface of the design method according to the embodiment of the present invention.
FIG. 4 is a diagram showing the comparison of power distribution of soft and hard design methods in meridian design.
Fig. 5 is a schematic diagram of an initial structure setting of the design method according to the embodiment of the invention.
FIG. 6 is a MTF graph of the initial structure of the design method of the embodiment of the present invention.
Fig. 7 is a schematic diagram showing three states of far vision, transition and near vision by setting object distances according to the design method of the embodiment of the invention.
FIG. 8 is a graph of MTF for the +1D addition of FIG. 7.
Fig. 9 is a graph of MTF corresponding to the plus light +2D of fig. 7.
Fig. 10 is a schematic diagram of multiple structures in the progressive slice optimization process of the design method according to the embodiment of the present invention.
Fig. 11 is a graph of MTF corresponding to the add 0D of fig. 10.
FIG. 12 is a graph of MTF for the +1D addition of FIG. 10.
Fig. 13 is a graph of MTF corresponding to the add +2D of fig. 10.
Fig. 14 is a schematic diagram of an optimized progressive slice of the design method according to the embodiment of the present invention.
Fig. 15 is a schematic diagram showing the change in PITCH (PITCH) versus diopter of the progressive plate of fig. 14.
Fig. 16 is a spherical view of the progressive plate of fig. 14.
FIG. 17 is a cylindrical view of the progressive plate of FIG. 14.
Figure 18 is a schematic view of symptoms of astigmatism.
Figure 19 is a schematic view of the optical principle of astigmatism.
Figure 20 is a comparison of before and after correction of astigmatism.
Fig. 21 is a top view of a progressive slice optimized by the design method according to the embodiment of the present invention.
FIG. 22 is a schematic diagram of a design method of an embodiment of the invention to fit an astigmatic lens with an optimized progressive addition lens to form an embodiment of a lens of the invention.
FIG. 23 is a schematic diagram of the formation of the astigmatism progressive plate in the design method according to the embodiment of the invention.
FIG. 24 is a schematic diagram of the transition structure in correspondence with the corresponding points of the meridian in the design method according to the embodiment of the invention.
Detailed Description
Exemplary embodiments that embody features and advantages of the invention are described in detail below. As will be realized, the invention is capable of other and different embodiments and its several details are capable of modifications in various obvious respects, all without departing from the invention, and the description and drawings are to be regarded as illustrative in nature, and not as restrictive.
The design method of the free-form surface progressive lens with the astigmatism correction function mainly comprises the four steps of establishing a model, determining a meridian line, obtaining a progressive lens and correcting the astigmatism. Each will be described in detail below.
Of course, it can also be said that the design method of the embodiment of the present invention includes two steps, one step is a design step of a progressive addition lens (or referred to as progressive addition lens), which includes four steps of establishing a model, determining a meridian, obtaining an initial progressive addition lens, and optimizing a progressive addition lens; another step is to add astigmatism correction to the progressive plate.
1. Modeling
The first step is to build a human eye model, and the theoretical basis of the human eye model in this example is the Liou & Brennan 1997 human eye model. As shown in fig. 2, the human eye model shows the cornea, pupil, aqueous humor (aquous), lens, vitreous body, retina, and the like.
When reading, the human eye moves downward and inward, so that the pupil is slightly deviated in the human eye model, and the above factors are considered in designing.
The design method of the present invention requires the use of optical software, such as optical design software ZEMAX and three-dimensional mechanical software such as Catia, which are described below by using ZEMAX software as an example.
As shown in fig. 3, in the surface property interface of the ZEMAX software, the pupil surface is set to have an offset of 0.1-0.8mm, preferably 0.6mm, in the X direction with respect to the movement habit of the eyeball during reading. Then, the parameter "After Surface" is set to "Reverse This Surface".
The design method of the embodiment of the invention firstly establishes the human eye model, so that the human eyes and the lens form a complete optical system, and the designed lens has better adaptability and comfort.
2. Meridian design
Generally, progressive addition lenses are classified into two types of "hard" and "soft" due to the difference of meridian design, and fig. 4 shows power profiles of the two design methods, the meridian "soft" design method is shown on the left side of fig. 4, and the meridian "hard" design method is shown on the right side of fig. 4.
As can be seen in FIG. 4, the "hard" design therein provides a fast progressive power change and a short, narrow transition zone. There is generally a more stable distance and near vision zone. The soft progressive lens has mild focal power change, a longer transition area and a smaller near vision area. But the wearing is comfortable, and the deformation is smaller when seeing objects.
Different meridian designs will lead to completely different results, and it can be said that how good the progressive slice is depends entirely on the meridian design.
The design method of this embodiment preferably adopts a soft design method, so that the corresponding progressive region is longer and the near-viewing region is shorter. And wherein said causing the corresponding progressive zones to be longer and the near vision zones to be smaller is causing the power rate of change of the power profile to be smaller.
The lens is obtained by adopting a soft design method, namely the gradual change area of the lens is longer, the gradual change rate of focal power is slow, aberration is distributed gently and softly in a wider area, and astigmatism in a marginal transition area is greatly reduced.
3. To obtain progressive slices
Specifically, a progressive slice is obtained through optimization according to the human eye model and the meridian. In the step, the method comprises two steps of initial structure design of the progressive slice and optimization of the progressive slice, and then the progressive slice after optimization can be actually measured. The following are introduced separately:
1. initial structural design of progressive plate
First, the distance between the progressive plate and the cornea is set.
Then, according to the distance between the progressive plate and the cornea, as shown in fig. 5, a single-focus lens is designed to complete the initial configuration setting. The MTF curve (optical modulation transfer function curve) of the single-focus lens is shown in fig. 6, where the ordinate of the MTF curve is a normalized value and the abscissa is frequency.
Next, a multi-structure is set based on the meridian lines designed in the above-described correlation step. As shown in fig. 7, when the added light is 0D, the eyeball model rotates 0 degree; when light is added for +1D, the eyeball model rotates downwards for 15 degrees; when +2D light is added, the eyeball model rotates downwards by 30 degrees.
And finally, setting the object distance. The object distance is set to represent the far vision, transition and near vision. The first configuration simulates a hyperopic condition. The second configuration simulates the intermediate state, i.e. the eyeball is slightly turning downwards. The third structure simulates the myopia state, and the eyeball obviously rotates downwards. The second structure is not limited to the case of adding light +1D, the eyeball model rotates downward by 15 degrees, and it may be a transition structure, and this structure may be subdivided into many structures, for example: the addition of +0.25D, +0.5D, +0.75D, +1D, +1.25D, +1.5D, +1.75D is not a fixed value, and these structures correspond one-to-one with meridian corresponding points, as shown in FIG. 24, for better fitting with meridians. The first structure and the third structure are configured to set progressive upper and lower limits.
Fig. 7 shows three states, with corresponding MTF plots as shown in fig. 6, 8 and 9.
2. Optimizing progressive slices
In ZEMAX, the front surface is made aspherical, the rear surface is designed as a free curved surface (extended polymeric), and the radius of curvature varies with diopter.
In ZEMAX, let radius, aspheric coefficient and high-order term be variables.
In the interpolated data editor (extra date editor), the maximum order number is set to 44 and the normalized radius is set to 20. This means that the highest order of XY is X 8 Y 8
In general, the formula for constructing a quadric surface is:
Figure BDA0002942719370000091
in this embodiment, the front surface is an even aspheric surface (even asphere).
An even-order aspheric surface, which is a reasonably symmetric polynomial aspheric surface, can be obtained by performing polynomial expansion of the deviation of a sphere (or an aspheric surface described by a cone), and the even-order aspheric model describes the aspheric surface by using only the even-order term of polar coordinate r. The model also takes into account the basic radius of curvature and the conic constant. The surface sag is
Figure BDA0002942719370000092
The parameters used are in turn:
Parameter 1 Parameter 2 Parameter 3 Parameter 4 Parameter 5 Parameter 6 Parameter 7 Parameter 8
α 1 α 2 α 3 α 4 α 5 α 6 α 7 α 8
for progressive slice optimization, ZEMAX provides a very powerful optimization function that has the ability to improve lens designs that give a reasonable starting point and a range of parameters. For progressive slices, the parameters may be curvature, thickness, glass, cone coefficient, parametric data, special data, and numerical data for a number of structures. ZEMAX uses active damped least squares, an algorithm that optimizes an evaluation function consisting of weighted target values, referred to as "operands". ZEMAX has some different default evaluation function. These merit functions can be easily changed in the merit function editing interface.
Optimization of progressive plates requires three steps: 1) Establishing a reasonable optical system capable of performing ray tracing; 2) Setting a variable; 3) And setting an evaluation function.
The merit function is a numerical representation of how an optical system approaches a set of specified targets. ZEMAX uses a series of operands, each representing a different constraint and goal of the system. The operands represent objects such as image quality, focus or magnification, or some other.
These merit functions are proportional to the square root of the weighted sum of the squared differences between the target and actual values for each operand in the list. The merit function is defined such that a value of 0 represents an ideal state. The optimization algorithm will make these function values as small as possible, so the evaluation function should be a representation of what you want the system to achieve.
With the optimization process described previously, in one optimization process, a set of data before optimization is as follows:
Figure BDA0002942719370000101
SURFACE DATA DETAIL (SURFACE DATA detaail):
Surface1 EVENASPH
Figure BDA0002942719370000102
Surface 2 XPOLYNOM
Figure BDA0002942719370000111
Figure BDA0002942719370000121
corresponding to the data before optimization, the data after optimization are as follows: .
Figure BDA0002942719370000122
Surface 1EVENASPH
Coeff on r 2:7.6911052e-005
Coeff on r 4:-9.6157587e-007
Coeff on r 6:1.1832784e-009
Coeff on r 8:1.5801457e-011
Coeff on r 10:3.5393198e-014
Coeff on r 12:-3.3186503e-017
Coeff on r 14:-3.0152102e-019
Coeff on r 16:-8.0391939e-022
Surface 2 XPOLYNOM
Figure BDA0002942719370000131
Figure BDA0002942719370000141
3. Optimized progressive slice actual measurement
After optimization, actual measurement can be performed on the optimized progressive slice, and the actual measurement results are shown in fig. 14-17.
Fourthly, a design method of adding the astigmatism correction to the progressive lens.
As shown in fig. 18 and 19, the light entering the eyeball cannot be focused into a focal point, i.e., astigmatism. The clinical manifestations are eye fatigue and headache, especially in the case of reading or applying to the eye for a long time.
As shown in fig. 20, astigmatism tends to be due to irregular deformation of the cornea. Astigmatism is corrected, as shown in fig. 21, by adding a cylindrical lens to the front of the eyeball. Astigmatism correction is performed on the anterior surface, i.e. by changing the aspherical surface profile, the meridional power of which remains unchanged, while the cylindrical lens is added at the axis of astigmatism to correct the astigmatism.
Similarly, the astigmatism correction function is performed by the following 5 steps.
1. The aspherical front surface of the progressive addition lens of the previous design is extracted as the back surface of the astigmatic lens, i.e., the back surface of the astigmatic lens is aspherical, so that in the case of back surface determination, what needs to be determined is the front surface.
2. In this step, the thickness of the astigmatic lens can be set to 0.01mm, and then the front surface thereof is optimized to complete plus +1D astigmatism.
3. As shown in fig. 22 and 23, the addition of the optimized astigmatic lens to the progressive addition lens of the anterior design allows the latter and the anterior surface of the progressive addition lens to coincide.
4. In the three-dimensional mechanical software, the overlapped astigmatic lens and the progressive lens are made into a solid body.
5. And finally, carrying out a simulation process of ray tracing.
The following describes the fabrication of lenses according to embodiments of the invention.
In the process of manufacturing the lens, a polishing technology is used for polishing the aspheric surface and the free-form surface of the progressive lens, and the nano-scale surface roughness and the submicron shape error are required to be achieved. The traditional polishing machine can not meet the requirements, and the polishing by hands has different effects, and the shape is easy to damage, so that the lens is deformed. When the progressive mirror mold is polished, the surface of the mold is processed by using an ultra-precise free-form surface seven-axis polishing technology so as to achieve the surface roughness of nanometer level. In addition, after measurement and calculation by using a precision measuring instrument, the shape is modified by an ultra-precision free-form surface seven-axis polishing technology, so that the most approximate ideal shape is obtained, and the effect expected by a designer is approached for a progressive mirror band.
In the lens manufacturing process, an injection molding technology is also used. At present, most progressive lenses are manufactured and processed by injection molding of semi-finished lenses and then finished by mechanical post-processing, so that the progressive lenses are high in price and are not popular.
While the invention has been described with reference to the preferred embodiments, it is not intended to be limited thereto. Those skilled in the art can make various changes and modifications without departing from the spirit and scope of the present invention. Therefore, the protection scope of the present invention should be determined by the appended claims.

Claims (12)

1. A method of making a free-form progressive lens having astigmatism correction, the method comprising:
establishing a human eye model to enable human eyes and lenses to form a complete optical system, wherein the human eye model is provided with an offset of 0.1-0.8mm on the pupil surface in the X direction;
determining a diopter progression curve meridian line, and enabling the power change rate of a power distribution diagram corresponding to the meridian line to be smaller, so that a corresponding progressive area is longer and a near vision area is shorter;
obtaining a progressive slice through optimization according to the human eye model and the meridian, wherein the progressive slice comprises the following steps:
setting a distance between the progressive plate and a cornea in the human eye model;
designing a single-focus lens according to the distance between the human eye model and the cornea of the progressive plate to complete initial structure setting to obtain an initial progressive plate;
setting a plurality of structures according to the meridian, the plurality of structures including: the structure comprises a first structure and a second structure, wherein when the light is added to be 0D, an eyeball model in a human eye model rotates by 0 degree; a second structure which is a transition structure; the third structure is that when light +2D is added, an eyeball model in the human eye model rotates downwards by 30 degrees;
setting object distance to represent far sight, transition and near sight states; the first structure simulates a state of hyperopia; the second structure simulates a transition state; the third structure simulates a near vision state;
optimizing the initial progressive slice to obtain an optimized progressive slice;
performing astigmatism correction on the front surface of the progressive plate to obtain a free-form surface progressive lens with corrected astigmatism;
extracting the aspheric front surface of the progressive slice as the back surface of the astigmatic lens;
adding the astigmatic lens with astigmatic correction to the optimized progressive addition lens;
in three-dimensional mechanical software, the astigmatic lens after astigmatism correction and the optimized progressive lens become an entity, and finally the free-form surface progressive lens with corrected astigmatism is obtained; and
the free-form progressive lens is manufactured using an injection molding technique.
2. The method of claim 1, wherein the offset is 0.6mm.
3. The method of claim 1, wherein the progressive plate is designed such that the anterior surface is aspheric and the posterior surface is free-form.
4. The method of claim 1, wherein the step of optimizing the initial progressive slice to obtain an optimized progressive slice comprises:
a) Rationalizing the design of the optical system;
b) Setting a variable of the optical system;
c) Setting an evaluation function;
d) And (6) optimizing.
5. The method of claim 4, wherein the variables of the optical system are set to a maximum order of 44 and a normalized radius of 20, wherein the merit function is a set of numerical representations that brings the optical system closer to a set of specified targets.
6. The method of claim 5, wherein the merit function has a value of image quality, focal length, or magnification; wherein a smaller value of the merit function represents a better performance of the optical system, and a value of 0 represents an ideal state.
7. The method of claim 3, the back surface being constructed using an extended quadric equation of:
Figure FDA0003759095960000021
8. the method of claim 1, wherein the step of optimizing the initial progressive slice to obtain an optimized progressive slice further comprises: and rotating the optimized progressive slice by 6 degrees in the progressive area, and carrying out balance design on corresponding points of the left and right side lenses.
9. The method of claim 1, wherein the step of performing astigmatism correction on the progressive plate front surface resulting in a free-form progressive lens with corrected astigmatism, further comprises:
setting the thickness of the astigmatic lens to 0.01mm, and then optimizing the front surface of the astigmatic lens to complete the astigmatic correction;
and performing a simulation process of ray tracing.
10. The method of claim 9, wherein the optimization of the front surface of the astigmatic lens to achieve astigmatism correction is performed by changing the aspherical surface of the astigmatic lens so that the meridional power of the astigmatic lens remains constant and the cylinder is added to the astigmatism axis to correct astigmatism.
11. A lens obtainable by the method of any one of claims 1 to 10.
12. The lens of claim 11, wherein the lens is PC.
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