CN115629490A - Progressive multi-element micro-lens spectacle lens and design method thereof - Google Patents

Progressive multi-element micro-lens spectacle lens and design method thereof Download PDF

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CN115629490A
CN115629490A CN202211390616.5A CN202211390616A CN115629490A CN 115629490 A CN115629490 A CN 115629490A CN 202211390616 A CN202211390616 A CN 202211390616A CN 115629490 A CN115629490 A CN 115629490A
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lens
microlens
micro
coordinate system
angle
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付之路
莫阳
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TIANJIN CENTURY KANGTAI BIO-MEDICAL ENGINEERING CO LTD
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TIANJIN CENTURY KANGTAI BIO-MEDICAL ENGINEERING CO LTD
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    • GPHYSICS
    • G02OPTICS
    • G02CSPECTACLES; SUNGLASSES OR GOGGLES INSOFAR AS THEY HAVE THE SAME FEATURES AS SPECTACLES; CONTACT LENSES
    • G02C7/00Optical parts
    • G02C7/02Lenses; Lens systems ; Methods of designing lenses
    • G02C7/06Lenses; Lens systems ; Methods of designing lenses bifocal; multifocal ; progressive
    • G02C7/061Spectacle lenses with progressively varying focal power
    • GPHYSICS
    • G02OPTICS
    • G02CSPECTACLES; SUNGLASSES OR GOGGLES INSOFAR AS THEY HAVE THE SAME FEATURES AS SPECTACLES; CONTACT LENSES
    • G02C7/00Optical parts
    • G02C7/02Lenses; Lens systems ; Methods of designing lenses
    • G02C7/024Methods of designing ophthalmic lenses

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Abstract

The invention discloses a progressive multi-element micro-lens spectacle lens and a design method thereof, relating to the technical field of optical equipment, wherein the spectacle lens comprises a single-optical spectacle lens and a micro-lens lattice superposed on any surface of the single-optical spectacle lens; and the plurality of micro lenses in the micro lens lattice are arranged in a Fermat spiral line. The advantage of the fermat spiral arrangement is that the spacing between the plurality of microlenses in the microlens lattice is nearly equal, having a larger area fraction; and a sufficient number of microlenses and peripheral defocus amount are always ensured in the field of view for different angles of field.

Description

Progressive multi-element micro-lens spectacle lens and design method thereof
Technical Field
The invention relates to the technical field of optical equipment, in particular to a progressive multi-element micro-lens spectacle lens and a design method thereof.
Background
Generally, myopia within 300 degrees is mild myopia, myopia 300-600 degrees is moderate myopia, and myopia above 600 degrees is high myopia. There is now a consensus in the medical community that high myopia has been identified as one of the most important causes of blindness. Therefore, the myopia crowd must consciously control the increase of the myopia degree, pay attention to eye hygiene and do not develop high myopia.
For preventing myopia, a good living habit needs to be developed firstly, the user does not need to stay up all night or overwork, the user does not need to watch television or mobile phones for too long time, so that eye fatigue is avoided, the user pays attention to the cleanness and sanitation of eyes, does not need to knead the eyes with hands as much as possible, bacterial infection is avoided, and the user can effectively prevent myopia by eating some fresh vegetables and fruits. In addition, the eye drops can be treated by medical methods such as atropine eye drops, orthokeratology (OK) lens, peripheral defocus spectacle lens or contact lens.
The atropine eye drops have the relaxation effect on ciliary muscles, the ciliary muscles which are in the regulation state for a long time are in the relaxation state under the action of the atropine medicine, so that the development of myopia is delayed, the atropine eye drops can also be used as mydriasis medicine in the cataract surgery process, and the atropine eye drops can cause certain harm to eyes and the whole body after long-term use. The orthokeratology lens has the function of orthokeratology by applying pressure to the cornea, so that the myopia of the eyes is corrected, but when the orthokeratology lens is worn daily, the hazards of infection, xerophthalmia and the like exist. When the peripheral out-of-focus spectacle lens is worn, adverse reactions are relatively few, usability is greatly improved, and various peripheral out-of-focus spectacle lenses exist in the market, but the peripheral out-of-focus spectacle lens is usually worn correctly under the guidance of a doctor, otherwise symptoms of unclear vision and dizziness can be caused.
Currently, conventionally designed microlens spectacle lenses have the size of the microlens and the add power fixed, but for large field angles, as the aperture becomes larger, the amount of peripheral defocus on the off-axis defocus for out-of-focus imaging does not apply. In this case, sufficient defocus effect can be ensured by increasing the add power or defocus amount of the peripheral matching.
Disclosure of Invention
In view of the above problems in the prior art, the present invention provides a progressive multi-element microlens spectacle lens and a design method thereof, which can always ensure sufficient number of microlenses and peripheral defocus amounts in the visual field for different angles of view.
In order to achieve the purpose, the invention provides the following scheme:
in a first aspect, the invention provides a progressive addition microlens spectacle lens comprising a single-vision lens and a microlens lattice superimposed on either surface of said single-vision lens; and a plurality of micro lenses in the micro lens lattice are arranged in a Fermat spiral line.
Optionally, a partial area of the single-vision lens is a prescription optical area, and a partial area of the micro-lens lattice is a defocus optical area; the central diameter of the prescription optical area is 5-15 mm; the peripheral diameter of the defocused optical area is 20-50 mm, and the range of the additional optical power of the defocused optical area is 0.5D-5.5D.
Optionally, in an extending direction from the center of the single vision lens to the edge of the single vision lens, the aperture of each microlens gradually changes from small to large, and the additional power of each microlens gradually changes from small to large.
Optionally, the plurality of microlenses in the microlens lattice are linearly arranged on n divergent angle rays;
wherein the i-th divergence angle ray is a divergence angle alpha led out by a pole in a polar coordinate system i The ray of (a); the polar coordinate system is a coordinate system which is established by taking the central point of the single-vision lens as a pole point, leading a horizontal ray as a polar axis and taking the anticlockwise direction as the positive direction of an angle; divergence angle alpha i Is in the range of 0 DEG to 360 DEG, and the divergence angle alpha i Angle of divergence alpha i-1 The difference of (a) is a constant value P, the range of the constant value P is 0-60 DEG, and the value of n is 360 DEG/P.
Optionally, in the polar coordinate system, a relationship between the aperture of the microlens and the position of the central point of the microlens follows a first formula; the first formula is:
d j =A j *R ji
d j denotes the aperture size, R, of the jth microlens on the ith divergent angle ray j Is the distance between the center point and the pole of the jth microlens, α i Is the ith divergence angle, A j Is the constant coefficient family of the j-th microlens, A j The range of (B) is 0.1 to 2.0.
Optionally, in the polar coordinate system, a relationship between the additional focal power of the microlens and the radius of the central point of the microlens follows a second formula; the second formula is:
add j =B j *R ji
wherein add j Representing the additional angle of light, R, of the jth microlens on the ith divergent-angle ray j Is the radius, R, of the center point of the jth microlens j Is the distance between the center point and the pole of the jth microlens, α i Is the i-th divergence angle, B j Is the constant index family of the j-th microlens, B j The range of (B) is 0.1 to 2.0.
Optionally, in the polar coordinate system, the arrangement of the fermat spiral follows a third formula:
Figure BDA0003931775850000031
where r is the radial distance, a is the angle from the zero degree line, and k is used to determine how tight the fermat spiral is.
Optionally, the mirror surface of the microlens is aspheric.
Optionally, the aspheric microlenses are determined according to a fourth formula; the fourth formula is:
Figure BDA0003931775850000032
establishing a space rectangular coordinate system by taking the vertex of the mirror surface of the micro lens as an origin O and the central axis of one micro lens as a Z axis; the X axis and the Y axis of the space rectangular coordinate system are on the tangent plane of the top point of the micro lens, and Z is j (x) Is at (R) j ,α i ) The curve expression of the aspheric microlens at the point position on a two-dimensional coordinate system plane X-Z, c is the reciprocal of the curvature radius of the basic spherical surface of the aspheric microlens, y is the vertical distance between any point on the curve and an X axis, a1, a2 and a3 \8230, is a high-order coefficient, and Q is a quadratic coefficient.
In a second aspect, the present invention provides a method for designing a progressive-addition microlens spectacle lens, comprising:
determining parameters of the single vision lens; the parameters of the single-vision lens are the front surface curvature and the back surface curvature of the single-vision lens and the focal power of the single-vision lens;
constructing a polar coordinate system on the basis of the single-optical lens, and determining various divergence angles and the number of divergence angle rays according to the polar coordinate system;
determining a Fermat spiral according to the polar coordinate system, and determining the number of micro lenses and the position of the central point of each micro lens according to the Fermat spiral; the intersection point of the Fermat spiral line and the divergent angle ray is the central point of the micro lens;
determining the additional focal power, caliber and surface type parameters of each micro lens;
and preparing the progressive multi-element micro-lens spectacle lens according to the parameters of the single-optical spectacle lens, the number of the micro-lenses, the central point position of each micro-lens, the additional focal power, the caliber and the surface type parameters.
According to the specific embodiment provided by the invention, the invention discloses the following technical effects:
the progressive multi-element micro-lens spectacle lens comprises a single-optical lens and a micro-lens lattice superposed on any surface of the single-optical lens; and a plurality of micro lenses in the micro lens lattice are arranged in a Fermat spiral line. The advantage of the fermat spiral arrangement is that the spacing between the plurality of microlenses in the microlens lattice is nearly equal, having a larger area fraction; and a sufficient number of microlenses and peripheral defocus amount are always ensured in the field of view for different angles of field.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings needed to be used in the embodiments will be briefly described below, and it is obvious that the drawings in the following description are only some embodiments of the present invention, and it is obvious for those skilled in the art to obtain other drawings without inventive exercise.
FIG. 1 is a schematic diagram of a progressive addition microlens ophthalmic lens of the present invention;
FIG. 2 is a schematic flow chart of a method of designing a progressive addition microlens ophthalmic lens of the present invention;
FIG. 3 is a schematic diagram of the Fermat spiral wire structure of the present invention;
FIG. 4 is a top view of the distribution structure of the Fermat spiral arranged micro-lenses of the present invention;
FIG. 5 is a schematic diagram of the area fraction of the near-central prescription optical zone of the present invention;
FIG. 6 is a schematic representation of a conventional design area ratio for the near-central prescription optical zone of the present invention;
FIG. 7 is a graph of the power distribution of the present invention within a 9mm to 23mm caliber;
FIG. 8 is a graph showing the power distribution of the present invention within the caliber of 22mm to 36 mm.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
In order to make the aforementioned objects, features and advantages of the present invention comprehensible, embodiments accompanied with figures are described in further detail below.
Example one
In view of the above problems in the prior art, the present embodiment provides a progressive-multiple microlens spectacle lens, which always ensures sufficient number of microlenses and peripheral defocus in the field of view for different angles of view.
As shown in fig. 1, the present embodiment provides a progressive addition microlens spectacle lens, which includes a single-vision lens 1 and a microlens array 2. The single-vision lens 1 comprises a front surface and a back surface, and a micro-lens lattice 2 is superposed on any one surface; wherein, a plurality of microlenses in the microlens lattice 2 are arranged in a fermat spiral line.
The advantage of the fermat spiral arrangement is that the pitches between the microlenses in the microlens lattice 1 are almost equal, and the area ratio is larger under the same aperture; and a sufficient number of microlenses and peripheral defocus amount are always ensured in the field of view for different angles of field.
In this embodiment, the single vision lens 1 has a base power, and the single vision lens 1 is used for refractive correction and is imaged on the retina; the micro-lens lattice 2 has additional focal power, has the functions of adjusting peripheral defocusing amount and adjusting vergence of marginal rays, and the micro-lens lattice 2 is imaged in front of a retina to inhibit the growth of an eye axis.
And a partial area of the single-vision lens 1 is a prescription optical area, and a partial area of the micro-lens lattice 2 is a defocusing optical area. The optical power of the prescribed optical area is determined by the prescription of a doctor, and the central diameter of the prescribed optical area is 5-15 mm; the peripheral diameter of the optical area out of focus is 20-50 mm, and the range of the additional focal power of the optical area out of focus is 0.5D-5.5D.
In this embodiment, in the extending direction from the center of the single vision lens 1 to the edge of the single vision lens 1, the aperture of each microlens gradually changes from small to large, and the add power of each microlens gradually changes from small to large, which has the effect of enhancing the peripheral defocus amount in the case of near-distance eye use.
Further, the plurality of microlenses in the microlens lattice 2 are linearly arranged on n divergent angle rays; wherein the i-th divergent angle ray has a divergent angle alpha led out from the pole in the polar coordinate system i The ray of (c); the polar coordinate system is a coordinate system which is established by taking the central point of the single-vision lens as a pole point, leading a horizontal ray as a polar axis and taking the anticlockwise direction as the positive direction of an angle, and the length unit of the coordinate system is mm; divergence angle alpha i Is in the range of 0 to 360 DEG, and the divergence angle alpha i Angle of divergence alpha i-1 The difference of (a) is a constant value P, the range of the constant value P is 0-60 DEG, and the value of n is 360 DEG/P.
In the polar coordinate system, the relation between the aperture of the micro lens and the position of the central point of the micro lens follows a first formula; the first formula is:
d j =A j *R ji
d j the aperture size of the jth microlens on the ith divergent angle ray is represented, and d is more than or equal to 0.3 j ≤0.9,R j Is the distance between the center point and the pole of the jth microlens, alpha i Is the ith divergence angle, A j Is the constant coefficient family of the j-th microlens, A j The range of (B) is 0.1 to 2.0.
In the polar coordinate system, the relation between the additional focal power of the micro lens and the radius of the central point of the micro lens follows a second formula; the second formula is:
add j =B j *R ji
wherein add j Representing the additional angle of light, R, of the j-th microlens on the ith divergent-angle ray j Is the radius of the center point of the jth microlens, R j Is the distance between the center point and the pole of the jth microlens, alpha i Is the ith divergence angle, B j Is the constant index family of the j-th microlens, B j The range of (B) is 0.1 to 2.0.
In the polar coordinate system, the arrangement of the fermat spiral follows a third formula:
Figure BDA0003931775850000061
where r is the radial distance, a is the angle to the zero degree line, and K determines how tight the fermat spiral is.
In this embodiment, the mirror surface of each microlens in the microlens array is an aspheric surface.
Determining an aspherical microlens according to a fourth formula; the fourth formula is:
Figure BDA0003931775850000062
establishing a space rectangular coordinate system by taking the vertex of the mirror surface of the micro lens as an origin O and the central axis of one micro lens as a Z axis; the X axis and the Y axis of the space rectangular coordinate system are on the tangent plane of the top point of the micro lens, and Z is j (x) Is at (R) j ,α i ) The curve expression of the aspheric microlens at the point position on a two-dimensional coordinate system plane X-Z, c is the reciprocal of the curvature radius of the basic spherical surface of the aspheric microlens, y is the vertical distance between any point on the curve and an X axis, a1, a2 and a3 \8230, is a high-order term coefficient, and Q is a quadratic term coefficient.
Example two
As shown in fig. 2, the present embodiment provides a method for designing a progressive addition microlens spectacle lens, including:
step 100: determining parameters of the single vision lens; the parameters of the single vision lens are the front surface curvature and the back surface curvature of the single vision lens and the focal power of the single vision lens.
Step 200: constructing a polar coordinate system on the basis of the single-optical lens, and determining various divergence angles and the number of rays of the divergence angles according to the polar coordinate system, wherein the method specifically comprises the following steps:
and taking the central point of the single-vision lens as a pole, leading a horizontal ray as a polar axis, establishing a polar coordinate system by taking the anticlockwise direction as the positive direction of the angle, determining each divergence angle on the polar coordinate system, and then determining the number of the divergence angle rays according to the difference value of the two divergence angles.
The arrangement of the fermat spiral is advantageous in that a plurality of microlenses in the microlens lattice are linearly arranged on n divergent angle rays, wherein the ith divergent angle ray is a divergent angle alpha derived from a pole in a polar coordinate system i Ray of (a), divergence angle alpha i Is in the range of 0 DEG to 360 DEG, and the divergence angle alpha i Angle of divergence alpha i-1 The difference of (a) is a constant value P, the range of the constant value P is 0-60 DEG, and the value of n is 360 DEG/P.
In this embodiment, P is 4.5 °, n is 1620, and the radial divergence in the fermat spiral schematic is partially complete as shown in fig. 3.
Step 300: determining a Fermat spiral according to the polar coordinate system, and determining the number of micro lenses and the position of the central point of each micro lens according to the Fermat spiral; and the intersection point of the Fermat spiral line and the divergent angle ray is the central point of the micro lens.
In the polar coordinate system, the arrangement of the fermat spiral follows a third formula:
Figure BDA0003931775850000071
where r is the radial distance, a is the angle to the zero degree line, and K determines how tight the fermat spiral is.
In this example, a is 1.25 and k is 1. As shown in fig. 3, the fermat spiral part of the principle diagram of the fermat spiral profile is completed, so far the intersection point of the fermat spiral and the divergent angle ray is determined, and the intersection point position is the central point of each microlens.
And a partial area of the single-vision lens is a prescription optical area, and a partial area of the micro-lens lattice is a defocusing optical area. The optical power of the prescribed optical zone is determined by the prescription of the physician. In this embodiment, the optical power of the prescription optical zone is set to OD, and the central diameter of the prescription optical zone is 9mm; the peripheral diameter of the defocused optical area is 36mm, and the total number of the microlenses is 760, which is 19 circles, as shown in the microlens distribution structure diagram shown in fig. 4.
Step 400: determining the add power, the aperture and the profile parameters of each of the microlenses.
In the polar coordinate system, the relation between the additional focal power of the micro lens and the radius of the central point of the micro lens follows a second formula; the second formula is:
add j =B j *R ji
wherein add j Representing the additional angle of light, R, of the jth microlens on the ith divergent-angle ray j Is the central point of the jth microlensRadius, R j Is the distance between the center point and the pole of the jth microlens, alpha i Is the i-th divergence angle, B j Is the constant coefficient family of the j-th microlens, B j In the range of 0.1 to 2.0:
in the extending direction from the center of the single-vision lens to the edge of the single-vision lens, the additional focal power of the micro lens is gradually increased, and the distribution of the additional focal power of the defocused optical area is 4.0D (the first 6 circles), 3.5D (the 7 th circle to the 13 th circle) and 3.0D (the 14 th circle to the 19 th circle).
In the polar coordinate system, the relation between the aperture of the micro lens and the position of the central point of the micro lens follows a first formula; the first formula is:
d j =A j *R ji
d j denotes the aperture size, R, of the j-th microlens on the ith divergent angle ray j Is the distance between the center point and the pole of the jth microlens, alpha i Is the ith divergence angle, A j Is the constant index family of the j-th microlens, A j The range of (B) is 0.1 to 2.0.
And the radius of the central point of the micro lens is gradually increased in the extending direction from the center of the single-vision lens to the edge of the single-vision lens. R 1 ~R 19 The specific distribution is 0.30, 0.31, 0.32, 0.33, 0.34, 0.35, 0.36, 0.37, 0.39, 0.40, 0.41, 0.42, 0.43, 0.44, 0.45, 0.46, 0.47, 0.48, 0.49mm.
The mirror surface of the micro lens is an aspheric surface. Determining an aspherical microlens according to a fourth formula; the fourth formula is:
Figure BDA0003931775850000091
establishing a space rectangular coordinate system by taking the vertex of the mirror surface of the micro lens as an origin O and the central axis of one micro lens as a Z axis; the X axis and the Y axis of the space rectangular coordinate system are on the tangent plane of the vertex of the micro lens, and Z j (x) Is at (R) j ,α i ) Aspheric surface at point positionC is the reciprocal of the curvature radius of the basic spherical surface of the aspheric microlens, y is the vertical distance between any point on the curve and the X axis, a1, a2 and a3.
In ZEMAX software, a lens-wearing eye model is constructed, and Z is obtained through global optimization j (x) And (5) expressing.
Step 500: according to the parameters of the single-optical lens, the number of the micro lenses, the central point position of each micro lens, the additional focal power, the caliber and the surface type parameters, the progressive multi-element micro lens is prepared, which specifically comprises the following steps:
and preparing a corresponding mold according to the parameters of the single-optical lens, the number of the micro lenses, the central point position of each micro lens, the additional focal power, the caliber and the surface type parameters, then carrying out mold pressing, injecting plastic particles in a molten state into the mold, and cooling and molding.
Furthermore, in this embodiment, the method further includes: and (4) carrying out optical analysis.
The power profiles at different apertures were tested using a topographer to analyze the area fraction of the microlens region. As can be seen from the area ratio of the near-central prescription optical zone shown in fig. 5, when a 2mm diameter sampling circle is used, the area ratio of the microlens region in the sampling circle is about 60%, while in fig. 6, it can be seen that the area ratio of the microlens region under the same condition is about 44%, the equivalent value of the peripheral defocus amount under different angles of view, and the imaging resolution under different angles of view. The power topographic test results show that, as shown in fig. 7, the aperture of the microlens is within 9mm to 23mm, the add power of the first 6 circles of the defocus optical zone is 4.0D, and the prescription power of the zone other than the microlens is 0D, which is consistent with the design value. With reference to fig. 7 and 8, the distribution of the add power in the out-of-focus area from the 7 th to 13 th circles of the out-of-focus optical area is 3.5D, and the distribution of the add power in the out-of-focus area from the 14 th to 19 th circles is 3.0D, which are consistent with the design values.
The embodiments in the present description are described in a progressive manner, each embodiment focuses on differences from other embodiments, and the same and similar parts among the embodiments are referred to each other.
The principles and embodiments of the present invention have been described herein using specific examples, which are provided only to help understand the method and the core concept of the present invention; meanwhile, for a person skilled in the art, according to the idea of the present invention, the specific embodiments and the application range may be changed. In view of the above, the present disclosure should not be construed as limiting the invention.

Claims (10)

1. A progressive multi-element micro-lens spectacle lens is characterized by comprising a single-light lens and a micro-lens lattice superposed on any surface of the single-light lens; and the plurality of micro lenses in the micro lens lattice are arranged in a Fermat spiral line.
2. The progressive addition microlens spectacle lens of claim 1, wherein a portion of said single lens is a prescription optic zone, and a portion of said microlens array is a defocus optic zone; the central diameter of the prescription optical area is 5-15 mm; the peripheral diameter of the defocused optical area is 20-50 mm, and the range of the additional optical power of the defocused optical area is 0.5D-5.5D.
3. The progressive addition microlens lens as set forth in claim 1, wherein the diameter of each of said microlenses varies progressively from small to large in a direction extending from the center of said single lens to the edge of said single lens, and the add power of each of said microlenses varies progressively from small to large.
4. The spectacle lens of claim 1, wherein the plurality of microlenses in the microlens array are arranged linearly over n diverging angle rays;
wherein the i-th divergence angle ray is a divergence angle alpha led out by a pole in a polar coordinate system i The ray of (c); the polar coordinate system is defined byThe central point of the single-vision lens is a polar point, a horizontal ray is led to be a polar axis, and a coordinate system is established by taking the anticlockwise direction as the positive direction of the angle; divergence angle alpha i Is in the range of 0 to 360 DEG, and the divergence angle alpha i Angle of divergence alpha i-1 The difference of (a) is a constant value P, which ranges from 0 to 60 DEG, and n has a value of 360 DEG/P.
5. The progressive addition microlens spectacle lens of claim 4, wherein in the polar coordinate system, the relationship between the aperture of the microlens and the position of the center point of the microlens follows a first formula; the first formula is:
d j =A j *R ji
d j denotes the aperture size, R, of the j-th microlens on the ith divergent angle ray j Is the distance between the center point and the pole of the jth microlens, alpha i Is the ith divergence angle, A j Is the constant index family of the j-th microlens, A j The range of (B) is 0.1 to 2.0.
6. The progressive addition microlens spectacle lens of claim 4, wherein in the polar coordinate system, the relationship between the add power of the microlens and the radius of the center point of the microlens follows a second formula; the second formula is:
add j =B j *R ji
wherein add j Representing the additional angle of light, R, of the jth microlens on the ith divergent-angle ray j Is the radius, R, of the center point of the jth microlens j Is the distance between the center point and the pole of the jth microlens, alpha i Is the ith divergence angle, B j Is the constant coefficient family of the j-th microlens, B j The range of (B) is 0.1 to 2.0.
7. A progressive addition microlens ophthalmic lens as claimed in claim 4, wherein in said polar coordinate system, the arrangement of said Fermat spiral follows a third formula:
Figure FDA0003931775840000021
where r is the radial distance, a is the angle to the zero degree line, and K is used to determine how tight the fermat spiral is.
8. The progressive addition microlens spectacle lens of claim 1, wherein the lens surface of the microlens is aspheric.
9. The progressive addition microlens ophthalmic lens of claim 8, wherein the aspheric microlens is determined according to a fourth formula; the fourth formula is:
Figure FDA0003931775840000022
establishing a space rectangular coordinate system by taking the vertex of the mirror surface of the micro lens as an origin O and the central axis of one micro lens as a Z axis; the X axis and the Y axis of the space rectangular coordinate system are on the tangent plane of the top point of the micro lens, and Z is j (x) Is at (R) j ,α i ) The curve expression of the aspheric microlens at the point position on a two-dimensional coordinate system plane X-Z, c is the reciprocal of the curvature radius of the basic spherical surface of the aspheric microlens, y is the vertical distance between any point on the curve and an X axis, a1, a2 and a3 \8230, is a high-order term coefficient, and Q is a quadratic term coefficient.
10. A method of designing a progressive addition microlens ophthalmic lens, comprising:
determining parameters of the single vision lens; the parameters of the single-vision lens are the front surface curvature and the back surface curvature of the single-vision lens and the focal power of the single-vision lens;
constructing a polar coordinate system on the basis of the single-optical lens, and determining various divergence angles and the number of divergence angle rays according to the polar coordinate system;
determining a Fermat spiral line according to the polar coordinate system, and determining the number of micro lenses and the position of the central point of each micro lens according to the Fermat spiral line; the intersection point of the Fermat spiral line and the divergent angle ray is the central point of the micro lens;
determining the additional power, caliber and surface type parameters of each micro lens;
and preparing the progressive multi-element micro-lens spectacle lens according to the parameters of the single-optical spectacle lens, the number of the micro-lenses, the central point position of each micro-lens, the additional focal power, the caliber and the surface type parameters.
CN202211390616.5A 2022-11-08 2022-11-08 Progressive multi-element micro-lens spectacle lens and design method thereof Pending CN115629490A (en)

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CN117742005A (en) * 2024-02-21 2024-03-22 苏州大学 Ophthalmic lens with microstructure and design method thereof

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN117742005A (en) * 2024-02-21 2024-03-22 苏州大学 Ophthalmic lens with microstructure and design method thereof
CN117742005B (en) * 2024-02-21 2024-05-03 苏州大学 Ophthalmic lens with microstructure and design method thereof

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