Ophthalmic lens and frame glasses having the same

Abstract

The present invention provides an ophthalmic lens and frame glasses having the same. The ophthalmic lens is a frame lens or a contact lens, having a continuous convex-concave surface feature in at least two directions, and the convex-concave surface feature has a plurality of raised portions and a plurality of recessed portions. The technical solution of the present invention has at least the following advantages: the diopter changes continuously without sudden changes. The imaging quality is better; during the molding and demolding process, the continuous smooth surface is easy to demold, and the processing yield is high; during the lens coating process, the coating liquid is not easy to accumulate, the coating is uniform, and the diopter is not easy to change before and after the coating.

Description

Technical Field

[0001] This disclosure relates to the field of spectacle lens technology, specifically to ophthalmic lenses and eyeglasses having the same. Background Technology

[0002] In recent years, microlens defocus lenses have gradually gained the trust of myopia patients. Existing microlens array fabrication technology can cover the surface of eyeglass lenses with microlens arrays to form two optical zones. One optical zone is the conventional optical zone with prescription power, and the other is a localized illumination zone using microlenses, aiming to create myopia defocus that helps control myopia, that is, focusing in front of the retina. Each microlens is typically an independent island-like structure, and their connection to the surface of the conventional optical zone is not a smooth transition but an abrupt change, with discontinuous first derivatives and discontinuous refractive power.

[0003] This leads to the following technical problems: 1. Sudden changes in refractive power may generate stray light, reducing image quality and affecting image contrast; 2. Discontinuity of the first derivative means greater processing difficulty, and failure may occur during molding and demolding; 3. During the lens coating process, the presence of discontinuous connections results in uneven coating thickness, which may change the refractive power of the microlens. Summary of the Invention

[0004] The present invention aims to provide ophthalmic lenses with smooth surface transitions and eyeglass frames having such lenses, in order to overcome the deficiencies of the prior art.

[0005] The first aspect of the present invention provides an ophthalmic lens, which is a frame lens or a contact lens, having a continuous undulating surface feature in at least two directions, the undulating surface feature having a plurality of protrusions and a plurality of depressions.

[0006] Optionally, a three-dimensional coordinate system is set with the center point of the lens as the origin, wherein the first coordinate axis H, the second coordinate axis V, and the third coordinate axis D are orthogonal to each other, and the third coordinate axis D coincides with the principal optical axis of the ophthalmic lens. A point on the ophthalmic lens is denoted as (x, y, z), where x, y, and z represent the coordinate values ​​of the point on the first coordinate axis H, the second coordinate axis V, and the third coordinate axis D, respectively. The surface shape function Z(x, y) of the ophthalmic lens is a continuous function, where Z(x, y) = Z biconic (x,y)+Z cos (x,y), Z biconic (x,y) represents a function of the biconical surface, Z cos (x,y) represents a superposition of continuous surface functions involving trigonometric cosine functions.

[0007] Optionally, a superposition of trigonometric cosine functions on a continuous surface.

[0008]

[0009] Where M represents the total number of protrusions in the H direction, N represents the total number of protrusions in the V direction, i represents the ordinal number, and M and N are each independent natural numbers selected from 1 to 100, A Hi (x,y) and A Vi (x, y) are each independently selected from constants, piecewise functions, or continuous functions, which are used to adjust the height of the protrusions in the first direction H and the second direction V of the ophthalmic lens, respectively. Hi (x) and B Vi (y) are each independently selected from a linear function or a polynomial function, which are used to control the distribution of convex and concave portions on the first direction H and the second direction V of the ophthalmic lens, respectively. Hi (x,y) and C Vi (x, y) are each independently selected from constants, piecewise functions, or continuous functions, and their respective coordinates A Hi (x,y) and A Vi (x, y) are used to adjust the envelope surfaces of the protrusions and concave portions on the first direction H and the second direction V of the ophthalmic lens, respectively.

[0010] Optionally, the plurality of protrusions are not uniformly distributed, and the B Hi (x) and B Vi (y) is a univariate polynomial function.

[0011] Optionally, the plurality of protrusions are evenly distributed at equal intervals, and the B Hi (x) and B Vi (y) is a linear function in one variable.

[0012] Optionally, the A Hi (x,y), A Vi (x,y), G Hi (x,y) and G Vi At least one of (x,y) is selected from a piecewise function.

[0013] Optionally, the piecewise function is

[0014] or

[0015] Where α is a positive number, L1 is selected from 3.5 to 6.5, and L2 is selected from 15 to 25.

[0016] Optionally, the A Hi (x,y), A Vi (x,y), C Hi (x,y) and CVi At least one of (x,y) is selected from continuous functions.

[0017] Optionally, the continuous function is the sigmoid function S(x,y).

[0018]

[0019] Where H i The height of the protrusion is represented by K, and the summation of the sigmoid functions by r is represented by r. i Selected from 2.5 to 10, k i Selected from 0.5 to 20.

[0020] Optionally,

[0021] Where: P add It is the luminous intensity selected from +1D to +10D, n lens R is the refractive index of the material of the ophthalmic lens. 前 Δd is the radius of curvature of the anterior surface of the ophthalmic lens, and Δd is the distance between two adjacent protrusions.

[0022] Optionally, A Hi (x,y) and A Vi (x, y) are each independently selected from constants, C Hi (x,y) and C Vi (x,y) are all zero, and B Hi (x)=2πx / Δd H B Vi (y)=2πy / Δd V , where Δd H and Δd V These represent the distances between two adjacent protrusions in the first direction H and the second direction V of the ophthalmic lens, respectively.

[0023] Optionally, when A Hi (x,y) and A Vi When (x, y) are both selected from constants greater than 0, the ophthalmic lens is a medium-range lens; when A Hi (x,y) and A Vi When (x, y) are both selected from constants less than 0, the ophthalmic lens is a medium-range lens.

[0024] Optionally, the double conic surface function

[0025]

[0026] Where: c H =1 / R H c V=1 / R V R H and R V Let k be the radius of curvature. H and k V For the coefficients of the quadratic surface.

[0027] A second aspect of the present invention provides eyeglasses that include the ophthalmic lens proposed in this invention.

[0028] The technical solution of the present invention has at least the following advantages: (1) The refractive power changes continuously without abrupt changes, resulting in better image quality; (2) During the molding and demolding process, the continuous smooth surface makes demolding easier, resulting in a high processing yield; (3) During the lens coating process, the coating liquid does not easily accumulate, the coating is uniform, and the refractive power does not easily change before and after coating. Attached Figure Description

[0029] Figure 1 This is a schematic diagram of the surface shape function of the ophthalmic lens according to Embodiment 1 of the present invention;

[0030] Figure 2 This is a schematic diagram of the surface shape function of the ophthalmic lens according to Embodiment 2 of the present invention;

[0031] Figure 3 This is a schematic diagram of the surface shape function of the ophthalmic lens in Embodiment 3 of the present invention;

[0032] Figure 4 This is a schematic diagram of the Sigmoid continuous function according to an embodiment of the present invention;

[0033] Figure 5 This is a schematic diagram of the surface shape function of the ophthalmic lens in Embodiment 4 of the present invention. Detailed Implementation

[0034] Exemplary embodiments of the present invention will now be described with reference to the accompanying drawings. Unless otherwise defined, all technical and / or scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this application pertains.

[0035] The ophthalmic lens of this invention can be a frame lens or a contact lens, wherein contact lenses include, but are not limited to, corneal contact lenses, scleral contact lenses, and orthokeratology lenses. This ophthalmic lens has a surface feature with continuous undulations in at least two directions, and the undulating surface feature has multiple protrusions and multiple depressions. The term "continuous in a certain direction" refers, from a mathematical function perspective, to "continuous first derivative," for the lens's sag z. It always exists and continues.

[0036] In the ophthalmic lens of this invention, a three-dimensional coordinate system is established with the lens center point as the origin. The first coordinate axis H, the second coordinate axis V, and the third coordinate axis D are orthogonal to each other, and the third coordinate axis D coincides with the principal optical axis of the ophthalmic lens. A point on the ophthalmic lens is denoted as (x, y, z), where x, y, and z represent the coordinate values ​​of that point on the first coordinate axis H, the second coordinate axis V, and the third coordinate axis D, respectively. The surface shape function Z(x, y) of the ophthalmic lens is a continuous function, where:

[0037] Z(x, y) = Z biconic (x, y) + Z cos (x, y) (Formula 1)

[0038] x is the distance from the center of the lens in the first direction (which can be denoted as the H direction), and y is the distance from the center of the lens in the second direction (which can be denoted as the V direction). biconic (x,y) represents a function of the hyperconic surface, Z cos (x,y) represents a superposition of continuous surface functions involving trigonometric cosine functions.

[0039] The biconical surface function, also known as the Biconical surface function, is calculated using the following formula:

[0040]

[0041] Where c H =1 / R H c V =1 / R V R H and R V The radii of curvature in the first and second directions are respectively, k H and k V These are the quadratic surface coefficients in the first and second directions, respectively. When c... H =c V And k H =k V When c..., the double conic surface degenerates into a common aspherical surface. H ≠c V At that time, it is an aspherical surface with astigmatism.

[0042] Z-shaped continuous surface involving superposition of trigonometric cosine functions cos (x,y) is a continuous surface added to the double conic surface, which forms a two-dimensional arrangement of bulges and depressions, where the bulges have higher refractive power and the depressions have lower refractive power, thus forming a continuously changing refractive power.

[0043] If the minimum refractive power in the superimposed continuous surface is set as the prescription power, then the regions with refractive power higher than the prescription power are the added light portions, achieving a myopia defocus effect. For example, in an ophthalmic lens used for myopia, the prescription power at the minimum refractive power position is -3.0D, and position A has a refractive power of -0.5D, meaning position A has an added light of +2.5D. Therefore, the incident light passing through position A will focus in front of the retina, forming a myopia defocus.

[0044] Superimposed continuous surface Z cos The formula for calculating (x,y) can be a simplified form, for example, refer to... Figure 1 :

[0045] Z cos (x, y) = A H cos(2πx / Δd H )+A V cos(2πy / Δd V ) (Formula 3)

[0046] Where: Δd H and Δd V A represents the distance between two adjacent protrusions in the first direction H and the second direction V of the ophthalmic lens, respectively. H and A V The absolute values ​​represent the height difference between adjacent protrusions and depressions in the first direction H and the second direction V of the ophthalmic lens, respectively, for example, A. H and A V Each can be independently selected from 1x10 -4 Up to 1x10 -2 mm, for example 4x10 -4 Up to 5x10 -3 mm. Δd H , Δd V A H and A V Together they determine the density of the protrusions and depressions of the superimposed continuous surface, as well as the intensity of the light.

[0047] For Z corresponding to formula 3 cos For a (x,y) surface, the convex parts are evenly distributed at equal intervals. When A H and A V When A > 0, the ophthalmic lens is a lens used for near vision at CCTV; when A H and A V When the value is less than 0, it is a lens used for CCTV telephoto.

[0048] Superimposed continuous surface Z cos (x,y) can be in a more complex form:

[0049]

[0050] Where M represents the total number of protrusions in the H direction, N represents the total number of protrusions in the V direction, i represents the ordinal number, and M and N are each independently selected from natural numbers from 1 to 100. A Hi (x,y) and A Vi (x, y) are each independently selected from constants (e.g., absolute values ​​in the range of 1 x 10^6). -4 Up to 1x10 -2 Constants within a range, such as absolute values ​​selected from 4 x 10 -4 Up to 5x10 -3 (B) Piecewise or continuous functions, which are used to adjust the height of the protrusions in the first direction H and the second direction V of the ophthalmic lens, respectively. Hi (x) and B Vi (y) are each independently selected from a linear function or a polynomial function, which are used to control the distribution of convex and concave portions on the first direction H and the second direction V of the ophthalmic lens, respectively. C Hi (x,y) and C Vi (x, y) are each independently selected from constants (e.g., absolute values ​​in the range of 1 x 10^6). -4 Up to 1x10 -2 Constants within a range, such as absolute values ​​selected from 4 x 10 -4 Up to 5x10 -3 ), piecewise functions or continuous functions, which respectively coordinate with A Hi (x,y) and B Vi (x, y) are used to adjust the envelope surfaces of the protrusions and depressions in the first direction H and the second direction V of the ophthalmic lens, respectively.

[0051] In some embodiments, the multiple protrusions of the superimposed continuous surface can be non-uniformly distributed, B Hi (x) and B Vi (y) is a univariate polynomial function. For example, in formula 4, B... Hi (x) and B Vi (y) is defined as a quartic equation in one variable according to formulas 5 and 6, and we can obtain Figure 2 The surface shape function is described above. As shown in the figure, the surface protrudes at three points (0,0), (2,2), and (3,3) within the same quadrant, and these protrusions are non-uniformly distributed. It should be noted that B... Hi (x) and B Vi (y) is placed inside the cosine function. Since the cosine function is an even function, the actual object will naturally form a mirror image, and the corresponding positions in other quadrants will also be convex.

[0052] B Hi (x)=x(5.88444-5.92405x+3.25638x2 -0.490035x 3 ) (Formula 5)

[0053] B Vi (y)=x(5.88444-5.92405y+3.25638y 2 -0.490035y 3 ) (Formula 6)

[0054] In other embodiments, the multiple protrusions of the superimposed continuous curved surface can also be evenly distributed at equal intervals, in which case B Hi (x) and B Vi (y) can be a linear function in one variable.

[0055] Analysis of Formula 4 shows that by setting A Hi (x,y),A Vi (x, y), C Hi (x,y),C Vi (x,y) is used to control the envelope of the surface's convexity and concavity.

[0056] In some embodiments, A Hi (x,y), A Vi (x,y), C Hi (x,y) and C Vi (x, y) can be all equal.

[0057] For example:

[0058] The curved surface corresponding to this embodiment has the characteristic that the convex part gradually increases from the center of the lens to the periphery, and the corresponding added power also gradually increases.

[0059] To control the extent of the protrusion, a piecewise function can be used. This piecewise function can be... or

[0060]

[0061] Where α represents a positive number, L1 is selected from 3.5 to 6.5, preferably 4 to 5, and L2 is selected from 15 to 25. For example:

[0062]

[0063] The curved surface in this embodiment is as follows: Figure 3 As shown.

[0064] To control the extent to which the protrusion appears, the sigmoid continuous function can also be used. Hi (x,y), A Vi (x,y), CHi (x,y) and C Vi At least one of (x,y) is selected from the sigmoid continuous function S(x,y). For example, see reference Figure 4 :

[0065]

[0066] Where H i This indicates the height of the protrusion, which is selected from 10. -5 ~10 -2 mm. K represents the number of sigmoid functions being summed. r i This describes the distance from a point on the lens whose height is equal to half the height of the Sigmoid function to the center of the lens. i The value is selected from 2.5 to 10, preferably 3.0 to 7.0, and more preferably 4.5 to 5.0. k i This describes the slope of the tangent line to the Sigmoid function at half its height; the larger the value, the steeper the shape. i The value is selected from 0.5 to 20, preferably 1 to 15, and more preferably 2 to 10.

[0067] Among them, H i It can be: P add It is the luminous intensity selected from +1D to +10D, n lens R is the refractive index of the lens material. 前 Δd is the radius of curvature of the front surface of the lens, and Δd is the distance between two adjacent protrusions.

[0068] In some embodiments, A Hi (x,y) and A Vi (x, y) can each be independently selected from constants (e.g., absolute values ​​in the range of 1 x 10^6). -4 Up to 1x10 -2 For example, 5x10 -4 Up to 5x10 -3 (any constant between), C Hi (x,y) and C Vi (x,y) are all zero, and B Hi (x)=2πx / Δd H B Vi (y)=2πy / Δd V Where Δd H and Δd V These represent the distances between two adjacent protrusions on the first direction H and the second direction V of the ophthalmic lens, respectively.

[0069] When A Hi (x,y) and A ViWhen (x, y) are both selected from constants greater than 0, the ophthalmic lens is a medium-range lens; when A Hi (x,y) and A Vi When (x,y) are both selected from constants less than 0, the ophthalmic lens is a lens with a central focal length.

[0070] To enable those skilled in the art to better understand, specific embodiments of plano-concave lenses are listed below.

[0071] like Figure 5 In the embodiment shown, the front surface base plane is a plane, Z cos The (x,y) surface has uniformly distributed convexities, with the upper and lower envelope surfaces controlled by the Sigmoid function. B Hi (x)=2πx / Δd H B Vi (y=2πy / Δd V C Hi (x,y) and C Vi (x, y) are all zero, where the height of the protrusion is set to 4.37 x 10. -4 mm, the height of the protrusion at a distance of 4.5 mm from the center of the lens is approximately half of the maximum height, the distance between the protrusions in the H and V directions is 1.57 mm, and k = 10. Therefore

[0072]

[0073] Once the surface shape of the ophthalmic lens is determined, those skilled in the art can process it to obtain the desired lens through methods such as turning and die casting.

[0074] The present invention also proposes eyeglasses, which include ophthalmic lenses according to embodiments of the present invention.

[0075] The ophthalmic lens and eyeglasses with the present invention have at least the following advantages: (1) The refractive power changes continuously without abrupt changes, resulting in better image quality; (2) During the molding and demolding process, the continuous smooth surface makes demolding easier, resulting in a high processing yield; (3) During the lens coating process, the coating liquid does not easily accumulate, the coating is uniform, and the refractive power does not easily change before and after coating.

[0076] Those skilled in the art will understand that variations and modifications can be made to the invention described herein, in addition to the specific descriptions. The invention is not limited to the specific constructions described and shown herein, but includes all such variations and modifications falling within its spirit and scope. Those skilled in the art can make any combination of any two or more of the features, structures, or portions set forth individually or jointly in this specification without departing from the spirit and scope of the invention.

Claims

1. An ophthalmic lens, characterized in that: The ophthalmic lens is a frame lens or a contact lens, having a continuous concave-convex surface feature in at least two directions, wherein the concave-convex surface feature has a plurality of raised portions and a plurality of recessed portions, and A three-dimensional coordinate system is set with the center point of the lens as the origin, wherein the first coordinate axis H, the second coordinate axis V, and the third coordinate axis D are orthogonal to each other, and the third coordinate axis D coincides with the principal optical axis of the ophthalmic lens. A point on the ophthalmic lens is denoted as (x, y, z), where x, y, and z represent the coordinate values ​​of the point on the first coordinate axis H, the second coordinate axis V, and the third coordinate axis D, respectively. The surface function Z(x, y) of the ophthalmic lens is a continuous function, wherein Z(x, y)=Z biconic (x,y)+Z cos (x,y),Z biconic (x, y) represents the biconic surface function, Z cos (x, y) represents a superposition continuous surface function involving trigonometric cosine functions.

2. The ophthalmic lens according to claim 1, characterized in that Superposition of trigonometric cosine functions and continuous surface functions wherein M represents the total number of protrusions in the H direction, N represents the total number of protrusions in the V direction, i represents an ordinal number, and M and N are natural numbers independently selected from 1 to 100, A Hi (x, y) and A Vi (x, y) are each independently selected from a constant, a piecewise function or a continuous function, which are used to adjust the height of the protrusions in the first direction H and the second direction V of the ophthalmic lens, respectively. B Hi (x) and B Vi (y) are independently selected from a linear function or a multi-variable function, which are used to adjust the distribution of the raised parts and the depressed parts in the first direction H and the second direction V of the ophthalmic lens, respectively; C Hi (x, y) and C Vi (x, y) are each independently selected from a constant, a piecewise function or a continuous function, which are respectively matched with A Hi (x, y) and A Vi (x, y) are used to adjust the envelope surfaces of the raised and recessed portions in the first direction H and the second direction V of the ophthalmic lens, respectively.

3. The ophthalmic lens according to claim 2, characterized in that The plurality of protrusions are non-uniformly distributed, and the B Hi (x) and B Vi (y) is a univariate multi-time function.

4. The ophthalmic lens according to claim 2, characterized in that The plurality of protrusions are evenly distributed at equal distances, and the B Hi (x) and B Vi (y) is a linear function of one variable.

5. The ophthalmic lens according to claim 2, characterized in that The A Hi (x, y), A Vi (x, y), C Hi (x, y) and C Vi At least one of (x, y) is selected from a piecewise function.

6. The ophthalmic lens according to claim 5, characterized in that The piecewise function is or Wherein α is a positive number, L1 is selected from 3.5 to 6.5, and L2 is selected from 15 to 25.

7. The ophthalmic lens according to claim 2, characterized in that The A Hi (x, y), A Vi (x, y), C Hi (x, y) and C Vi At least one of (x, y) is selected from a continuous function.

8. The ophthalmic lens according to claim 7, characterized in that The continuous function is a Sigmoid function S(x,y), Among them, H i represents the height of the protrusion, K represents the number of superimposed and summed sigmoid functions, r i Selected from 2.5 to 10, k i Selected from 0.5~20.

9. The ophthalmic lens according to claim 8, characterized in that Where: P add is an addition selected from +1D to +10D, n lens is the refractive index of the material of the ophthalmic lens, R 前 is the radius of curvature of the front surface of the ophthalmic lens, and Δd is the distance between two adjacent protrusions.

10. The ophthalmic lens according to claim 2, wherein: A Hi (x, y) and A Vi (x, y) are each independently selected from constants, C Hi (x, y) and C Vi (x, y) are both zero, and B Hi (x) = 2πx / Δd H , B Vi (y) = 2πy / Δd V , where Δd H and Δd V They respectively represent the distance between two adjacent protrusions in the first direction H and the second direction V of the ophthalmic lens.

11. The ophthalmic lens according to claim 5, characterized in that When A Hi (x, y) and A Vi When (x, y) are both selected from constants greater than 0, the ophthalmic lens is a central near lens; When A Hi (x, y) and A Vi When (x, y) are both selected from constants less than 0, the ophthalmic lens is a central telescopic lens.

12. The ophthalmic lens according to claim 1, wherein Biconic surface function Where: c H =1 / R H , c V =1 / R V , R H and R V is the radius of curvature, k H and k V is the quadratic surface coefficient.

13. A frame glasses, characterized in that: An ophthalmic lens comprising any one of claims 1 to 12.

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