The present invention relates to a toric ophthalmic lens for astigmatism correction.
Examples of ophthalmic lenses for astigmatism correction include eyeglasses, contact lenses, and intraocular lenses. These ophthalmic lenses have an optical surface called toric surface. The toric surface indicates a surface shape of a lens, curvature radiuses of at least two meridians of which are different, like a rugby ball or a side surface of a doughnut. The lens including the toric surface is called toric lens (annular lens).
A difference is caused in refractive power of the lens by the toric surface in directions orthogonal to each other set on the surface. Astigmatism can be corrected using the difference in the refractive power. A technique for more flexibly designing a shape of a lens surface and a technique for stabilizing a position of an intraocular lens in an eye have been proposed (PTL 1 and 2). A technique for configuring a connecting portion of an optical portion and a supporting portion to advantageously suppress occurring of a secondary cataract has also been proposed (PTL 3). A technique for defining a toric surface with a formula has also been proposed (PTL 4).
[PTL 1] U.S. Pat. No. 5,173,723
[PTL 2] WO 2015/136997
[PTL 3] WO 2006/123427
[PTL 4] Japanese Patent No. 4945558
However, in a conventional ophthalmic lens for astigmatism correction, it is not assumed that the thickness of an edge of the lens is controlled. Therefore, it is likely that the thickness of the edge hinders design of an intraocular lens from the viewpoint of secondary cataract prevention. That is, it is desired that the edge thickness is equal to or larger than a predetermined thickness from the viewpoint of the secondary cataract prevention. However, the center thickness of the lens is large if a lens shape is simply decided based on the edge thickness. Therefore, insertion through a small incision is difficult. It is likely that a burden during the insertion is increased.
A technique according to the present disclosure has been made in view of the above-described circumstances, and an object of the present disclosure is to realize a toric ophthalmic lens that makes it possible to design a lens contributing to secondary cataract prevention without deteriorating a degree of freedom of lens design, that is, a toric ophthalmic lens that has an edge having thickness with which a secondary cataract prevention effect can be expected and does not have an unnecessarily large center thickness.
In a toric ophthalmic lens of the present disclosure, in a top view of an optical portion, a substantially flat portion having a substantially fixed edge thickness of the optical portion is provided to overlap a steep meridian of a toric surface of the optical portion. Consequently, in the past, there is a concern that the edge thickness in a steep meridian direction decreases and, if a supporting portion is provided in a portion where the edge thickness decreases, a force for pressing the optical portion against a posterior capsule in an eye cannot be stably obtained. However, with the toric ophthalmic lens of the present disclosure, even if the supporting portion is provided in the portion, since a predetermined edge thickness is secured, the force for pressing the optical portion against the posterior capsule can be stably obtained. Lens design having a higher degree of freedom is possible from the viewpoint of preventing a secondary cataract. The edge thickness of the substantially flat portion is smaller than the edge thickness of the optical portion overlapping a flat meridian of the toric surface in the top view and is larger than the edge thickness of the optical portion overlapping the steep meridian of the toric surface in the top view when the substantially flat portion is formed as the toric surface.
Further, the substantially flat portion may be formed by replacing a region of the toric surface where thickness is smaller than a predetermined minimum thickness in the toric ophthalmic lens with a plane, the thickness of which is the minimum thickness. The substantially flat portion may be formed as a gentle inclined surface or a curved surface or a form obtained by combining the inclined surface and the curved surface.
In a top view of an optical portion of a toric ophthalmic lens, a substantially flat portion in which an edge thickness h(r) of the optical portion in a position where a distance from a lens center is r is given by Expressions (1) and (2) may be provided.
[Math. 1]
h(r)≥H (1)
[Math. 2]
H(High)<H<H(Low) (2)
wherein, H(High) represents an edge thickness of a portion overlapping a steep meridian of the toric ophthalmic lens and H(Low) represents an edge thickness of a portion overlapping a flat meridian of the toric ophthalmic lens. H is equivalent to a predetermined minimum thickness.
A sectional shape in any meridian direction on a lens surface of the toric ophthalmic lens may be represented by an expression including:
wherein, c represents a paraxial curvature in the toric ophthalmic lens, r represents a distance from the lens center of the toric ophthalmic lens, k represents a conic constant of a surface rotationally symmetrical to a lens optical axis in the toric ophthalmic lens, c, r, and k are common concerning a meridian direction on the lens surface, and A(θ) and B(θ) are given by Expressions (4) and (5).
[Math. 4]
A(θ)=a2x cos2 θ+a2y sin2 θ (4)
[Math. 5]
B(θ)=a4x cos4 θ+a2x2y cos2 θ sin2 θ+a4y sin4 θ (5)
wherein, H(High) represents an edge thickness of a portion overlapping the steep meridian when the toric ophthalmic lens is designed using Expressions (4) and (5) and H(Low) represents an edge thickness of a portion overlapping the flat meridian when the toric ophthalmic lens is designed using Expressions (4) and (5).
Further, in a top view of the toric ophthalmic lens, width of the substantially flat portion in a direction from an edge toward a lens center of the toric ophthalmic lens may be set to 0.05 mm or more and 0.5 mm or less. In the top view of the toric ophthalmic lens, a range of an angle in which the substantially flat portion is formed viewed from the lens center of the toric ophthalmic lens may be set to 20° or more and 70° or less across the steep meridian (10° or more and 35° or less with respect to the steep meridian). In general, an optical portion diameter of an intraocular lens is ϕ5 mm to 7 mm. Therefore, in the top view of the toric ophthalmic lens, width L of the substantially flat portion in the direction from the edge toward the lens center of the toric ophthalmic lens may satisfy a condition ( 1/100 of the optical portion diameter)≤L≤( 1/10 of the optical portion diameter).
In a toric ophthalmic lens of the present disclosure, in a top view of an optical portion, a surface continuous to an edge of the optical portion and a toric surface of the optical portion may be provided. An edge thickness of the optical portion on the continuous surface may be substantially fixed. The continuous surface may be provided to overlap a steep meridian of the toric surface of the optical portion.
According to the technique of the present disclosure, it is possible to realize a toric ophthalmic lens including an edge that makes it possible to design a lens contributing to secondary cataract prevention without deteriorating a degree of freedom of lens design.
An embodiment of the present invention is explained below. Note that a toric intraocular lens is explained in the following explanation. However, the present invention is not limited to the toric intraocular lens and can also be applied to various toric ophthalmic lenses such as an eyeglass lens.
In the toric intraocular lens, a difference is caused in refractive power of the lens by a toric surface in directions orthogonal to each other (a first meridian direction and a second meridian direction) set on the surface. Astigmatism can be corrected using the difference in the refractive power. In general, the difference in the refractive power is called columnar reflective power. On the toric surface, a meridian in a direction in which the refractive power is large is called steep meridian and a meridian in a direction in which the refractive power is small is called flat meridian.
First, a technique serving as a premise of the present invention is explained. In this embodiment, a lens surface is defined by the following Expression (6) to manufacture an intraocular lens. Note that a first term of Expression (6) defines a lens surface rotationally symmetrical with respect to an optical axis of the lens. Second and subsequent terms define a toric surface.
wherein, c represents a curvature of a reference plane of the rotational symmetry of the lens before the toric surface defined by the second and subsequent terms of Expression (6) is added. X and Y represent distances from a lens center in a first direction and a second direction, for example, distances from the lens center in a steep meridian direction and a flat meridian direction. In Expression (6), r represents a distance in a radial direction (r2=X2+Y2), k represents a conic constant of the reference plane of the rotational symmetry before the toric surface defined by second and subsequent terms of Expression (6) is added, and c, r, and k are common in the X direction and the Y direction. In Expression (6), a represents a parameter for adding the toric surface. The second and subsequent terms of Expression (6) represent terms at the time when (X2+Y2)n (n=1, 2, . . . ) is developed. Coefficients of the second and subsequent respective terms represent parameters for adding the toric surface. Note that the first term of Expression (6) is an example of a predetermined definitional equation for defining a lens surface of rotational symmetry with respect to the optical axis of the lens. The first term may be another equation if the equation is an equation defining the lens surface equivalent to the first term of Expression (6).
The lens surface can be defined over the entire lens when the above expression is used. Consequently, it is possible to define the lens surface with a high degree of freedom compared with the past. In particular, a shape in a direction (e.g., a direction in which X=Y) other than the X direction and the Y direction that cannot be defined by the conventional expression as explained above can also be freely defined.
The first term of Expression (6) is the same form as an expression of a spherical lens or an expression of an aspherical lens by only a conic constant. Therefore, when the toric intraocular lens is designed using Expression (6), a base shape of the toric intraocular lens can be a rotationally symmetric lens as in the past. Therefore, the toric intraocular lens manufactured by performing lens design using Expression (6) can be loaded in a conventional inserter as well without a problem.
Note that a method of setting an edge thickness in a 45° direction of a lens to the same edge thickness as an edge thickness of the rotationally symmetric lens has been proposed in the past. However, the edge thickness can be calculated only after parameters of the toric surface are determined. On the other hand, in the designing method using Expression (6) of this embodiment, it is unnecessary to calculate the edge thickness if a coefficient of X2jY2(n-j) (where j is a natural number other than n) is set to 0 or a2qx=−a2qy, a2qxa2py=0 (p and q are natural numbers). It is possible to design a shape having the edge thickness in the 450 direction equivalent to the edge thickness of the rotationally symmetric lens.
When a lens is manufactured by a so-called molding method, it is necessary to consider a change in a lens shape due to contraction of a lens material. By designing the lens using Expression (6) in this embodiment, if a base shape of the lens is the same as the shape of the rotationally symmetric lens, a contraction percentage can be regarded as equivalent to the contraction percentage of the rotationally symmetric lens. Therefore, according to the lens designing method in this embodiment, it is possible to more efficiently evaluate the contraction percentage than a conventional method for evaluating the contraction percentage with the toric intraocular lens, which is a non-rotationally symmetric lens.
Since paraxial curvatures in the X direction and the Y direction can also be easily calculated as explained below, calculation of paraxial refractive power is also easy. Therefore, it is possible to easily calculate paraxial power from the function of Expression (6). By using Expression (6), it is possible to control spherical aberrations in the X direction and the Y direction of the toric intraocular lens. By performing the lens deign using Expression (6) in this way, a degree of freedom of parameters for defining the toric surface of the toric intra ocular lens increases. It is possible to design a lens surface shape for more suitably correcting various aberrations than in the past.
Subsequently, concerning Expression (6), an expression formula of a sectional shape in any direction (at an angle θ) of an optical surface of the lens is derived. As an example, the case of maximum order of 4th order is considered. If x=r cos θ and y=r sin θ in Expression (6), Expression (6) is transformed to obtain Expression (7) as follows.
As it is seen from Expression (7), if Expression (6) is used, a sectional shape in any direction (any θ) on the lens surface can be represented by a general optical surface definitional equation. It is possible to easily perform comparison with a design value and an optical simulation in any cross section of an actually manufactured lens.
An example in which the toric intraocular lens is designed using the premise technique of the present invention by using one of Expressions (6) and (7) is explained. Note that, in this explanation, a toric surface is formed as an optical surface of a ridge type (convex upward).
As illustrated in
In
Therefore, in the case of lens design for providing a supporting portion in the thin portion 105, the supporting portion is connected to a portion having a small edge thickness. Therefore, there is a concern that a force for pressing the optical portion against a posterior capsule cannot be stably obtained. It is likely that the lens design is not considered to be desirable lens design from the viewpoint of preventing a secondary cataract.
On the other hand, an example of an optical portion 200 of the toric intraocular lens according to this embodiment is schematically illustrated in
In the optical portion 200 of the toric intraocular lens in this embodiment, a center thickness in a lens center 201 (an origin O′ of the XY plane) is equivalent to a center thickness in the lens center 101 of the optical portion 100 of the conventional toric intraocular lens. However, a substantially flat portion (hereinafter referred to as “flat portion”) 205 having a substantially fixed edge thickness is formed at an edge 202. The flat portion 205 is formed to include an edge overlapping a steep meridian when viewed from the lens center 201. Note that, as in
As illustrated in
In this embodiment, as explained above, if the edge thickness h(r) in the flat portion 205 is decided, the plane shape of the flat portion 205 is decided. However, in this embodiment, the plane shape of the flat portion 205 may be decided first (preferentially). For example, the angle ϕ at an end portion E of the flat portion 205 may be set to satisfy 55°≤ϕ≤80°. Then, a range of an angle (an angle width) in which the flat portion is formed viewed from the lens center of the toric intraocular lens is 20° to 70° across the steep meridian (10° to 35° on one side with respect to the steep meridian). The width L in the X-axis direction of the flat portion 205 may be set to satisfy 0.05 mm≤L≤0.5 mm. In general, an optical portion diameter of an intraocular lens is ϕ5 mm to 7 mm. Therefore, in the top view of the toric ophthalmic lens, the width L of the flat portion in a direction from the edge toward the lens center of the toric ophthalmic lens may be set to satisfy a condition ( 1/100 of the optical portion diameter)≤L≤( 1/10 of the optical portion diameter). In these cases, the edge thickness h(r) is decided by determining a range of an angle (an angle width) of the flat portion 205 or the width L of the flat portion 205.
The edge thickness h(r) in the flat portion 205 is set to be smaller than an edge thickness on the flat meridian side of the optical portion 200 and larger than an edge thickness of the flat portion 205 formed as the toric surface of the optical portion 100. By setting the edge thickness h(r) in this way, the edge thickness on the flat meridian side of the optical portion 200, that is, an edge thickness of a portion overlapping the Y axis can be set the same as the edge thickness in the conventional optical portion 100. Therefore, according to this embodiment, only the edge thickness of the flat portion 205 is controlled and control of edge thicknesses of the other portions does not have to be considered. Therefore, it is easy to control the edge thickness of the flat portion 205 of the optical portion 200.
An example of a change in an edge thickness in an angle direction viewed from the lens center 201 of the optical portion 200 is illustrated in
Therefore, in the case of lens design in which the supporting portion is provided in the flat portion 205, unlike the lens design in which the supporting portion is provided in the thin portion 105 of the optical portion 100, the edge thickness is secured as a predetermined thickness. Therefore, a force of the supporting portion pressing the optical portion against the posterior capsule is stably obtained. The lens design contributes to prevention of a secondary cataract.
In this embodiment, when the optical portion 200 of the toric intraocular lens is designed using one of Expressions (6) and (7) described above, conditions by the following Expressions (8) and (9) are added.
[Math. 10]
h(r)≥H (8)
[Math. 11]
H(High)<H<H(Low) (9)
That is, in this embodiment, when the optical portion 200 of the toric intraocular lens is designed using one of Expressions (6) and (7) described above, in the region where the edge thickness h(r) is smaller than H, h(r) is set to satisfy h(r)=H. H(High) is an edge thickness of a portion overlapping the steep meridian (the X axis in the figure) of the optical portion 200 designed as the conventional optical portion 100. H(Low) is an edge thickness of a portion overlapping the flat meridian (the Y axis in the figure) of the optical portion 200 designed as the conventional optical portion 100. H is equivalent to the predetermined minimum thickness.
In the configuration of the optical portion of the conventional toric intraocular lens, when the edge thickness decreases, it is likely that designing of the toric intraocular lens is hindered from the viewpoint of secondary cataract prevention. However, according to this embodiment, by designing the optical portion 200 using one of Expressions (6) and (7) based on the conditions described above, it is possible to realize the optical portion of the toric intraocular lens further contributing to the secondary cataract prevention than in the past.
The toric intraocular lens in this embodiment may be manufactured by a molding method or a cutting method. However, machining of the toric surface is desirably performed by a lathe capable of moving a machining tool in an optical axis direction while synchronizing the machining tool with rotating speed. Note that, in this embodiment, the example is explained in which the optical surface 204 is the toric surface and the optical surface 203 is the spherical surface or the aspherical surface. However, the configurations of optical surfaces to which the present invention is applied are not limited to this. The optical surface 204 may include an aspherical toric surface. Both of the optical surface 203 and the optical surface 204 may include toric surfaces. When both of the optical surface 203 and the optical surface 204 are toric surfaces and the steep meridian is common to the optical surface 203 and the optical surface 204, the edge thickness h(r) is a difference between the thickness in the steep meridian of the optical surface 203 and the thickness of the flat portion 205.
The above is the explanation concerning this embodiment. However, the configuration of the toric intraocular lens is not limited to the embodiment explained above. Various changes are possible within a range in which identity with the technical idea of the present invention is not lost. For example, in the design of the toric intraocular lens explained above, as indicated by modifications explained below, expressions other than Expressions (6) and (7) described above may be used. In that case, the conditions indicated by Expressions (8) and (9) described above may be added and set. The ranges of the respective values of the angle ϕ, the width L, and the edge thickness h(r) in the embodiment explained above are only examples and are not meant to limit the values to the ranges explained above. Further, in the embodiment explained above, in the top view of the optical portion 200, the flat portion 205 is formed to be symmetrical with respect to the X axis. However, the flat portion 205 does not have to be symmetrical with respect to the X axis if the flat portion 205 is formed to overlap the steep meridian (the X axis) of the toric surface of the optical portion 200. The portion of the flat portion 205 may be formed as a gentle inclined surface or a curved surface or a form obtained by combining the inclined surface and the curved surface.
With such a designing method for the toric intraocular lens, it is possible to design the toric intraocular lens in which, in the top view of the optical portion, the surface (the flat portion 205) continuous to the edge of the optical portion and the toric surface of the optical portion is provided, the edge thickness of the optical portion on the continuous surface is substantially fixed, and the continuous surface is provided to overlap the steep meridian of the toric surface of the optical portion.
Modifications of the embodiment indicated above are explained below. In the following explanation, a steep meridian direction of a toric intraocular lens is set as an X direction and a flat meridian direction of the toric intraocular lens is set as a Y direction. However, X and Y may be opposite. Note that details of derivation of expressions explained below are described in the patent literatures described above. Therefore, explanation of the details is omitted. Examples of expressions for defining the conventional toric surface include Expression (10) representing a shape of a lens cross section by a plane including an X axis and an optical axis and Expression (11) representing a lens cross section by a plane including a Y axis and the optical axis. In the expressions, Rx and Ry respectively represent a curvature radius of the lens cross section by the plane including the X axis and the optical axis and a curvature radius of the lens cross section by the plane including the Y axis and the optical axis. Note that Rx≠Ry. In the expressions, cx and cy respectively represent a curvature of the lens cross section by the plane including the X axis and the optical axis and a curvature of the lens cross section by the plane including the Y axis and the optical axis, where cx=1/Rx and cy=1/Ry. In the expressions, kx and ky respectively represent a conic constant in the X direction and a conic constant in the Y direction. Note that there is the description of kx≠ky in PTL 4 (Japanese Patent No. 4945558).
[Math. 12]
Zx=√{square root over (2Rxx−(1+kx)x2)} (10)
[Math. 13]
Zy=√{square root over (2Ryy−(1+ky)y2)} (11)
Examples of expressions used for design of the conventional toric intraocular lens include Expressions (12) and (13) instead of Expressions (10) and (11). Note that Rx≠Ry. There is the description of kx≠ky in Japanese Patent No. 4945558.
When Expressions (10) and (11) or Expressions (12) and (13) are used, shapes of lens cross sections in the X direction and the Y direction can only be defined and a sectional shape of the entire lens cannot be defined.
Alternatively, there is also a method of designing the toric intraocular lens using Expression (14).
When the toric intraocular lens is designed using Expressions (10) to (14) described above, the edge thickness in the steep meridian direction of the optical portion is secured at the predetermined thickness as in the embodiment described above by adding the condition of Expressions (8) and (9) to design the toric intraocular lens. Consequently, it is possible to perform lens design contributing to prevention of a secondary cataract.
Partially enlarged views showing schematic configurations of toric intraocular lenses 300 and 400 according to the modifications of the embodiment explained above are illustrated in
In this way, when the toric intraocular lens 300 in which the curved surface portion 305 is formed or the toric intraocular lens 400 in which the inclined portion 405 is formed is adopted, as in the toric intraocular lens 200, the edge thickness is secured at the predetermined thickness. Therefore, a force of the supporting portion pressing the optical portion against the posterior capsule can be stably obtained. Lens design contributes to prevention of a secondary cataract.
Further, with the designing methods for the toric intraocular lenses 200, 300, and 400, it is also possible to expect an effect that the center thickness of the optical portion can be set smaller than the center thickness in the design of the conventional toric intraocular lens 100 when the edge thickness is determined. That is, with the designing method according to the embodiment explained above, even if the center thickness of the optical portion is set smaller than the center thickness in the design of the conventional toric intraocular lens, it is considered possible to secure the edge thickness explained above.
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JP2016-237403 | Dec 2016 | JP | national |
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WO2018/105640 | 6/14/2018 | WO | A |
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