CN116224620A - Lens edge thinning design method based on hyperbolic tangent function - Google Patents
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- 239000000463 material Substances 0.000 claims description 4
- 230000003287 optical effect Effects 0.000 abstract description 10
- 239000011521 glass Substances 0.000 abstract description 7
- 238000012545 processing Methods 0.000 abstract description 7
- 208000001491 myopia Diseases 0.000 abstract description 6
- 230000004379 myopia Effects 0.000 abstract description 5
- 230000008859 change Effects 0.000 abstract description 4
- 201000010041 presbyopia Diseases 0.000 abstract description 4
- 238000013519 translation Methods 0.000 abstract description 4
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- 230000004438 eyesight Effects 0.000 abstract description 2
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- G—PHYSICS
- G02—OPTICS
- G02C—SPECTACLES; SUNGLASSES OR GOGGLES INSOFAR AS THEY HAVE THE SAME FEATURES AS SPECTACLES; CONTACT LENSES
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- G02C7/02—Lenses; Lens systems ; Methods of designing lenses
- G02C7/024—Methods of designing ophthalmic lenses
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- G—PHYSICS
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- G02C—SPECTACLES; SUNGLASSES OR GOGGLES INSOFAR AS THEY HAVE THE SAME FEATURES AS SPECTACLES; CONTACT LENSES
- G02C7/00—Optical parts
- G02C7/02—Lenses; Lens systems ; Methods of designing lenses
- G02C7/024—Methods of designing ophthalmic lenses
- G02C7/028—Special mathematical design techniques
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Abstract
The invention relates to a design method for thinning the edge of a lens based on a hyperbolic tangent function, belonging to the technical field of design and preparation of presbyopia and myopia glasses. The method for designing the edge thinning of the lens based on the hyperbolic tangent function can ensure the continuity of luminosity change and effectively thin the edge, the diopter distribution of the lens along the section is designed by constructing the hyperbolic tangent function, and the caliber of an effective optical interval of the lens, the width of a transition area and the thickness thinning effect of the edge can be freely controlled by controlling the translation and scaling factors in the function. The edge processing technology designed by the invention has the following characteristics: the edge thinning amount is obvious, so that the processing of the lenses with the angles of +2500 degrees and-2500 degrees on a conventional blank is possible, the diopter change of a transition area is continuous, the continuity of vision is ensured, and the serious uncomfortable feeling caused by the edge luminosity mutation is effectively reduced.
Description
Technical Field
The invention relates to a design method for thinning the edge of a lens based on a hyperbolic tangent function, belonging to the technical field of design and preparation of presbyopia and myopia glasses.
Background
Currently, when ophthalmic lenses are presbyopic at greater than 600 degrees or myopic at greater than-600 degrees, the center of the presbyopia can be very thick, while the edges of the myopia can be very thick. Not only is the lens difficult to manufacture, but it can be quite difficult to wear, and most importantly the entire lens can be heavy and uncomfortable for the wearer. How to reduce the center thickness of high-luminosity presbyopic glasses and the edges of Gao Guangdu near vision lenses has been the subject of continuous research in the production of glasses.
Thinning lenses generally involves the following methods:
1. increasing the refractive index of the lens material;
2. the caliber of the lens is reduced;
3. aspheric design
4. Edge processing technique
Method 2 is an effective method, but glasses can be difficult to see, and after the optical area is too small, the field of view of the human eye can be reduced, causing visual discomfort.
The method 3 has limited thinning amount and can not solve the fundamental problem.
In view of the above-mentioned drawbacks, the present invention is to create a design method for thinning an edge of a lens based on a hyperbolic tangent function, which has more industrial application value.
Disclosure of Invention
In order to solve the technical problems, the invention aims to provide a design method for thinning an edge of a lens based on a hyperbolic tangent function. The method is a rapid and simple design method, and can design the ophthalmic lens with the edge vector height as thin as possible under the condition of meeting the effective optical caliber of a user in a few seconds. The design can effectively lighten the weight of the lens, and provides lighter ophthalmic lenses with better optical performance for high-luminosity presbyopic and myopic patients.
The invention discloses a design method for thinning an edge of a lens based on a hyperbolic tangent function, which comprises the following steps:
(1) Calculating the corresponding curvature Md of the center of the rear surface according to the luminosity of the lens and the established front surface curvature, determining the thinning grade according to the luminosity, determining the curvature Mr of the final edge, and designing the diopter distribution on the section based on hyperbolic tangent function through the following structure, namely, the x-z section when y=0, wherein the diopter of the lens on the section is as follows:
(2) From u at any point on the lens profile, calculate
(3) Calculating curvature centers (xi, eta) according to the u and sin theta (u) calculated in the steps; wherein:
ξ(u)＝u-r(u)sinθ(u)；
(4) The sagittal height of each point on the lens profile is calculated by:
and finally obtaining the shape of the whole lens according to the sagittal height of each point.
Further, in step (1), x is E [0, x r ]，x r Is half of the aperture of the lens. X is x 0 A is one half of the effective aperture of the lens and is used to control the size of the transition zone.
Further, n in the step (2) is a refractive index of the material.
Further, in the step (3)
By means of the scheme, the invention has at least the following advantages:
1. the invention designs the diopter distribution function on the lens section through the translation and scaling hyperbolic tangent function, and calculates the curvature center and curvature radius corresponding to each point on the sub-section.
2. In the invention, the caliber of the central optical area of the designed lens can be conveniently changed by adjusting the translation and scaling factors of the hyperbolic tangent function of the structure, and the thickness of the edge can be adjusted by changing the diopter of the edge.
3. The software written by the invention can design a lens with excellent edge processing performance which meets the requirements of users within a few seconds, and the design period of the edge processing spectacle lens is greatly shortened.
4. With the +2500 degree presbyopic lens designed by the present patent, the center thickness can be reduced to 13.08mm, while the thickness of a traditional lens of the same specification will be 23.02mm.
5. The method for designing the edge thinning of the lens based on the hyperbolic tangent function can ensure the continuity of luminosity change and effectively thin the edge, the diopter distribution of the lens along the section is designed by constructing the hyperbolic tangent function, and the caliber of an effective optical interval of the lens, the width of a transition area and the thickness thinning effect of the edge can be freely controlled by controlling the translation and scaling factors in the function. The edge processing technology designed by the invention has the following characteristics: the edge thinning amount is obvious, so that the processing of the lenses with the angles of +2500 degrees and-2500 degrees on a conventional blank is possible, the diopter change of a transition area is continuous, the continuity of vision is ensured, and the serious uncomfortable feeling caused by the edge luminosity mutation is effectively reduced. The method is a rapid and simple design method, and can design the ophthalmic lens with the edge vector height as thin as possible under the condition of meeting the effective optical caliber of a user in a few seconds. The design can effectively lighten the weight of the lens, and provides lighter ophthalmic lenses with better optical performance for high-luminosity presbyopic and myopic patients.
The foregoing description is only an overview of the present invention, and is intended to provide a better understanding of the present invention, as it is embodied in the following description, with reference to the preferred embodiments of the present invention and the accompanying drawings.
Drawings
In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the drawings that are needed in the embodiments will be briefly described below, it being understood that the following drawings only illustrate a certain embodiment of the present invention and therefore should not be considered as limiting the scope, and that other related drawings can be obtained according to these drawings without inventive effort for a person skilled in the art.
FIG. 1 is a cross-sectional view of a +2500 degree presbyopic lens designed by the method for designing edge thinning of a lens based on a hyperbolic tangent function of the present invention;
FIG. 2 is a cross-sectional view of a conventional +2500 degree presbyopic lens;
FIG. 3 is a refractive power distribution diagram of a cross-section designed in example 1;
FIG. 4 is a sagittal view of a cross-section designed for example 1;
FIG. 5 is a final shape of the lens of example 1;
FIG. 6 is a refractive power distribution diagram of a cross-section designed in example 2;
FIG. 7 is a sagittal view of a designed section of example 2;
fig. 8 is a final shape of the lens designed in example 2.
Detailed Description
The following describes in further detail the embodiments of the present invention with reference to the drawings and examples. The following examples are illustrative of the invention and are not intended to limit the scope of the invention.
Referring to fig. 1, n=1.67, and the result of the edge treatment is that the presbyopic glasses with +2500 degrees of luminosity. The thickness of the edge of the +2500 degree presbyopic glasses designed by the patent after edge treatment is 0.4mm, the thickness of the center is 13.08, and the effective optical caliber is 44.
If the edge is left untreated, a +2500 presbyopic lens will be as shown in FIG. 2 under the same forward bending conditions: the edge thickness was 0.4mm and the center thickness was 23.02. Has particularly obvious advantages compared with the traditional lens.
The technical scheme of the invention is as follows: the diopters on the ophthalmic lens profile are designed by translating and scaling the structured hyperbolic tangent function, and then reconstructing the lens sagittal data by integrating the diopters.
The invention provides a design method of a lens with thinner edges (myopia) or thinner centers (presbyopia), which obtains sagittal height data z (x) of a lens section according to design requirements and lens parameters of the lens to be processed. The specific design process comprises the following steps:
1. calculating the corresponding curvature Md of the center of the rear surface according to the luminosity of the lens and the preset front surface curvature, determining the thinning grade according to the luminosity, determining the curvature Mr of the final edge, and designing the diopter distribution on the section (x-z section when y=0) based on the hyperbolic tangent function through the following structure, wherein the diopter of the lens on the section is as follows:
wherein x is E [0, x r ]，x r Is half of the aperture of the lens. X is x 0 A is one half of the effective aperture of the lens and is used to control the size of the transition zone.
2. From u at any point on the lens profile, calculate
Where n is the refractive index of the material.
3. And (3) calculating curvature centers (xi, eta) according to the u and sin theta (u) calculated in the step (2). ζ (u) =u-r (u) sin θ (u),
wherein (1)>
4. The sagittal height on the lens profile is calculated by:
example 1
A +1800 degree presbyopic lens was designed using the present invention. The parameters used in the design are as follows:
a＝3，x 0 18mm, central zone refractive md=5.15d, edge refractive mr= -32.50D, refractive index n=1.67.
The specific implementation steps are as follows:
1. according to given parameters: a. x is x 0 Md and Mr are represented by the formula:
a diopter distribution curve over the profile is calculated. The calculation result is shown in fig. 3.
The entire section was divided into 71 sampling points, the distance between each of which was 1.0mm. The process described below is repeated for each point on the profile.
2. Calculated from u=1 calculated by the above equation
3. According to step 2, the calculated sin θ (u) calculates the center of curvature (ζ, η). ζ (u) =u-r (u) sin θ (u) =0,
4. the sagittal height on the lens is calculated by:
the sagittal height at each point on the whole section can be calculated by repeating the above process, and the final result is shown in fig. 4.
Fig. 5 shows the shape of the entire lens.
Example 2:
the invention designs a-1600-degree myopia lens. The parameters used in the design are as follows:
a＝3，x 0 the central zone refractive power md= -16.50D, the edge refractive power mr=44.00d, refractive index n=1.67.
The specific implementation steps are as follows:
1. according to given parameters: a. x is x 0 Md and Mr are represented by the formula:
a diopter distribution curve over the profile is calculated. The calculation result is shown in fig. 6.
The entire section was divided into 71 sampling points, the distance between each of which was 1.0mm. The process described below is repeated for each point on the profile.
2. Calculated from u=1 calculated by the above equation
3. According to step 2, the calculated sin θ (u) calculates the center of curvature (ζ, η). ζ (u) =u-r (u) sin θ (u) =0,
4. the sagittal height on the lens is calculated by:
the sagittal height at each point on the whole section can be calculated by repeating the above process, and the final result is shown in fig. 7.
Fig. 8 shows the shape of the entire lens.
The above description is only of the preferred embodiments of the present invention and is not intended to limit the present invention, and it should be noted that it is possible for those skilled in the art to make several improvements and modifications without departing from the technical principle of the present invention, and these improvements and modifications should also be regarded as the protection scope of the present invention.
Claims (4)
1. The design method for thinning the edge of the lens based on the hyperbolic tangent function is characterized by comprising the following steps of:
(1) Calculating the corresponding curvature Md of the center of the rear surface according to the luminosity of the lens and the established front surface curvature, determining the thinning grade according to the luminosity, determining the curvature Mr of the final edge, and designing the diopter distribution on the section based on hyperbolic tangent function through the following structure, namely, the x-z section when y=0, wherein the diopter of the lens on the section is as follows:
(2) From u at any point on the lens profile, calculate
(3) Calculating curvature centers (xi, eta) according to the u and sin theta (u) calculated in the steps; wherein:
ξ(u)＝u-r(u)sinθ(u)；
(4) The sagittal height of each point on the lens profile is calculated by:
and finally obtaining the shape of the whole lens according to the sagittal height of each point.
2. The method for designing the edge thinning of the lens based on the hyperbolic tangent function according to claim 1, wherein the method comprises the following steps: in the step (1), x is E [0, x r ]，x r Is half of the aperture of the lens. X is x 0 A is one half of the effective aperture of the lens and is used to control the size of the transition zone.
3. The method for designing the edge thinning of the lens based on the hyperbolic tangent function according to claim 1, wherein the method comprises the following steps: and (2) n is the refractive index of the material.
4. The method for designing the edge thinning of the lens based on the hyperbolic tangent function according to claim 1, wherein the method comprises the following steps: in the step (3)
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Citations (8)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| EP0271920A2 (en) * | 1986-12-19 | 1988-06-22 | American Optical Corporation | Progressive power ophthalmic lens |
| US20120013846A1 (en) * | 2009-03-30 | 2012-01-19 | Duersteler Loepez Juan Carlos | Finished ophthalmic lens and corresponding methods |
| CN105182530A (en) * | 2014-05-22 | 2015-12-23 | 卡尔蔡司光学国际有限公司 | Method for reducing the thickness of a lens shape |
| CN105204181A (en) * | 2015-10-19 | 2015-12-30 | 苏州大学 | Progressive addition lens based on hyperbolic tangent function and logarithmic function and design method of progressive addition lens |
| CN105652466A (en) * | 2016-04-13 | 2016-06-08 | 上海理工大学 | Manufacturing method for progressive ring focus or full-focus freedom surface lens |
| TWI584022B (en) * | 2016-07-21 | 2017-05-21 | 國立臺灣科技大學 | Progressive multifocal contact lens and producing method thereof |
| CN106896525A (en) * | 2017-05-03 | 2017-06-27 | 上海理工大学 | The preparation method of the curved free form surface sunglasses of big base |
| CN112505948A (en) * | 2020-11-27 | 2021-03-16 | 江苏圣谱光学技术有限公司 | Progressive multi-focus lens based on sine curve and design method thereof |
-
2022
- 2022-12-26 CN CN202211676656.6A patent/CN116224620A/en active Pending
Patent Citations (8)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| EP0271920A2 (en) * | 1986-12-19 | 1988-06-22 | American Optical Corporation | Progressive power ophthalmic lens |
| US20120013846A1 (en) * | 2009-03-30 | 2012-01-19 | Duersteler Loepez Juan Carlos | Finished ophthalmic lens and corresponding methods |
| CN105182530A (en) * | 2014-05-22 | 2015-12-23 | 卡尔蔡司光学国际有限公司 | Method for reducing the thickness of a lens shape |
| CN105204181A (en) * | 2015-10-19 | 2015-12-30 | 苏州大学 | Progressive addition lens based on hyperbolic tangent function and logarithmic function and design method of progressive addition lens |
| CN105652466A (en) * | 2016-04-13 | 2016-06-08 | 上海理工大学 | Manufacturing method for progressive ring focus or full-focus freedom surface lens |
| TWI584022B (en) * | 2016-07-21 | 2017-05-21 | 國立臺灣科技大學 | Progressive multifocal contact lens and producing method thereof |
| CN106896525A (en) * | 2017-05-03 | 2017-06-27 | 上海理工大学 | The preparation method of the curved free form surface sunglasses of big base |
| CN112505948A (en) * | 2020-11-27 | 2021-03-16 | 江苏圣谱光学技术有限公司 | Progressive multi-focus lens based on sine curve and design method thereof |
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