Ophthalmic lens having extended depth of field and method for creating a lens design

Abstract

The invention relates to an ophthalmic lens (10) having extended depth of field. The ophthalmic lens (10) has, on one lens surface (16), a topographic surface modulation formed relative to the base curve of the lens surface (16). The ophthalmic lens (10) is characterized in that the topographic surface modulation, at least on part of the at least one lens surface (16), is based on a third-degree polynomial function.

Description

[0001] OPHTHALMIC LENS WITH EXTENDED DEPTH OF FIELD AND METHOD FOR PRODUCING A LENS DESIGN

[0002] Provided are an ophthalmic lens with an extended depth of field, a lens design for producing an ophthalmic lens with an extended depth of field, a method for producing an ophthalmic lens, a data set in the form of a computer-readable data signal, a method for generating a lens design for producing an ophthalmic lens with an extended depth of field, a computer program, a computer-readable storage medium, a data signal, and a data processing device. The disclosure thus lies particularly in the field of designs for ophthalmic lenses, in particular for intraocular lenses.

[0003] The optical designs of intraocular lenses (IOLs) currently available on the market range from simple refractive monofocal lenses with spherical or aspherical designs to complex diffractive multifocal lenses. Monofocal lenses have virtually no side effects but only correct the patient's distance vision, while some multifocal lenses may have undesirable properties but allow the patient to live a glasses-free life, as they typically correct vision at different focal lengths.

[0004] In some cases, a compromise between spectacle independence and potential side effects of IOLs may be desirable. Several optical lens designs have been developed to create enhanced depth of focus (EDOF) IOLs with minimal side effects, which can correct patients' vision from distance to intermediate vision, enabling a spectacle-free lifestyle for most everyday tasks. With such IOLs, the patient often still requires glasses for reading. However, these IOLs have shown great promise based on patient satisfaction. An example of an EDOF IOL is the AT LARA IOL from ZEISS.

[0005] US2020 / 0249501A1 describes a hybrid switchable liquid crystal lens device using a nanoparticle-doped liquid crystal layer and a nanoparticle-doped alignment layer. Using an applied voltage, the refractive index of the liquid crystal layer can be controlled, and the focal length and optical power of the lens can be tuned and / or adjusted. Furthermore, this document describes a contact lens designed to influence the phase function on the front surface of the contact lens.

[0006] WO2016 / 076714A1 describes an ophthalmic lens with an optical surface having a shape according to a fourth-degree polynomial, wherein the arrangement is adapted to provide an optical function for a third-degree polynomial to extend the depth of field. A further surface can have a shape according to a straight polynomial function, a spherical shape, or a shape according to a combination of a sphere and a parabola.

[0007] WO2017 / 165679A1 describes toric lenses with a freeform polynomial surface that forms a meridian band for a desired correction meridian.

[0008] WO2017 / 165695A1 describes toric lenses with multiple zones, wherein an optical zone has a polynomial-based surface with a plurality of meridians with specific cylindrical powers.

[0009] WO2017 / 165700A1 describes toric lenses with one or more angle-varying phase elements, which have diffractive and refractive structures. Against the background of this prior art, the object of the present disclosure is to provide an ophthalmic lens and / or a method, each of which is suitable for enriching the prior art.

[0010] The problem is solved by the features of the independent claims. The subordinate claims and the dependent claims each contain optional developments of the disclosure.

[0011] In a first aspect, an ophthalmic lens with an extended depth of field is provided, wherein the ophthalmic lens has a topographic surface modulation formed on a lens surface relative to the base curve of the lens surface. The ophthalmic lens is characterized in that the topographic surface modulation is based on a third-degree polynomial function at least on a portion of the at least one lens surface.

[0012] In another aspect, a lens design for producing an ophthalmic lens with an extended depth of field is provided. The lens design is characterized in that producing an ophthalmic lens according to the lens design results in an ophthalmic lens according to the disclosure.

[0013] In a further aspect, a method of manufacturing an ophthalmic lens is provided, characterized in that the method manufactures the ophthalmic lens using a lens design according to the disclosure.

[0014] In a further aspect, a data set is provided in the form of a computer-readable data signal comprising at least one type of the following data:

[0015] (i) A numerical representation of the ophthalmic lens according to the disclosure, wherein the numerical representation is adapted to be fed to a manufacturing machine for manufacturing the ophthalmic lens; and

[0016] (ii) Data containing computer-readable instructions for controlling and / or regulating one or more manufacturing machines for producing an ophthalmic lens according to the disclosure.

[0017] In a further aspect, a method for generating a lens design for the production of an ophthalmic lens with extended depth of field is provided. The method comprises defining a base curve for a lens surface of the ophthalmic lens, as well as defining a topographical surface modulation relative to the base curve of the lens surface. The method is characterized in that the topographical surface modulation is defined relative to the base curve of the lens surface in such a way that the topographical surface modulation is based on a third-degree polynomial function at least on a portion of the lens surface.

[0018] In a further aspect, a computer program is provided comprising instructions which, when executed by a computer, cause the computer to perform a method according to the disclosure.

[0019] In a further aspect, a computer-readable storage medium is provided on which a computer program according to the disclosure is stored.

[0020] In a further aspect, a data signal is provided which includes a computer program according to the disclosure.

[0021] In a further aspect, a data processing device is provided which is configured to carry out a method according to the disclosure. The data processing device can optionally be embodied as a computer and / or server and / or smartphone and / or tablet computer. The data processing device can optionally have a processor and a memory.

[0022] An ophthalmic lens is an optical lens designed to correct a patient's vision impairment. In particular, the ophthalmic lens can be an intraocular lens according to

[0023] DIN EN ISO 11979.1:2018. According to section 3.1.33 of DIN EN ISO

[0024] According to DIN EN ISO 11979.1:2018, an intraocular lens is an ophthalmic lens intended for implantation into an eye. Alternatively, the ophthalmic lens can be designed as a contact lens and / or a spectacle lens. The intraocular lens can optionally have one or more haptics. A haptic is generally understood to be a non-optical, generally external component of an intraocular lens that is intended to hold the intraocular lens in place in the eye (see section 3.1.28 of DIN EN ISO 11979.1:2018). Optionally, the ophthalmic lens can be designed as an implantable contact lens.

[0025] The base curve of a lens surface can correspond to a surface refractive power of the lens surface. The base curve can optionally correspond to the contour of the lens surface without taking into account topographical modulations on the lens surface.

[0026] Topographic surface modulation can represent a structural change in the lens surface, so that the actual topographic profile of the lens surface deviates from the base curve. The topographic surface modulation can include local elevations and / or depressions of the lens body relative to the base curve. The topographic surface modulation can be designed in such a way that it leads to altered refractive properties of the lens surface and optionally of the ophthalmic lens. The topographic surface modulation can be designed in such a way that it leads exclusively to altered refractive properties of the lens surface and does not produce any diffractive effect.

[0027] A polynomial function is a mathematical function that has power terms with natural exponents, where multiple power terms can be added together. In a third-degree polynomial function, the highest power term has an exponent of the natural number three. A third-degree polynomial function can also have terms of lower powers, such as two, one, and / or zero. However, a third-degree polynomial function does not have a power term with a non-zero exponent greater than three.

[0028] The fact that the topographic surface modulation is based on a third-degree polynomial function means that the spatial configuration of the topographic surface modulation at least partially or completely follows a third-degree polynomial function or is otherwise at least partially determined by a third-degree polynomial function. This can lead to a global tilt of the lens surface relative to the base surface. Optionally, the topographic surface modulation can be configured such that along the radial or diametrical profile of the lens surface, the topographic surface modulation in a cross-sectional view perpendicular to the base curve corresponds at least partially or locally to the third-degree polynomial function.Optionally, the topographic surface modulation can be configured such that, along a spiral course, optionally extending outward from the center of the topographic surface modulation, the topographic surface modulation, in a cross-sectional view perpendicular to the base curve, corresponds at least partially or locally to the third-degree polynomial function. Optionally, the topographic surface modulation can be based on a third-degree polynomial function such that a combination of the third-degree polynomial function with another function, such as an apodization function and / or a rotation function, determines the configuration of the topographic surface modulation at least partially or locally.

[0029] The lens design can optionally be in the form of data, in particular in the form of electronically stored or storable, and / or electronically readable data. The lens design can contain information that enables the production of an ophthalmic lens according to the lens design. The lens design can optionally represent a "digital twin" of a physically existing ophthalmic lens.

[0030] The method for producing a lens design can optionally be designed as a computer-implemented method, ie one, several or all steps of the method can be carried out at least partially by a computer or a device for data processing, optionally the data processing device.

[0031] The disclosure offers the advantage that an ophthalmic lens with an extended depth of field can be provided that exhibits a lower degree of undesirable side effects than conventional EDOF lenses. In particular, it makes it possible to provide intraocular lenses (IOLs) with an extended depth of field that exhibit a lower degree of side effects than conventional EDOF IOLs. Furthermore, the disclosure offers the advantage that a large depth of field can still be provided, approximately from +0.5 D to +4 D, and in particular from +1.5 D or more. Optionally, this can be achieved while keeping side effects similarly low as with monofocal ophthalmic lenses.

[0032] Furthermore, the disclosure offers the advantage that the extended depth of field can be achieved using refractive means. Thus, the ophthalmic lens can be provided without the need for diffractive structures. This simplifies the manufacture of the ophthalmic lens and reduces manufacturing costs. In particular, this can offer the advantage of avoiding the manufacture of delicate diffractive structures, especially in the peripheral regions of intraocular lenses, which can often pose a manufacturing challenge.

[0033] Furthermore, the disclosure offers the advantage of providing ophthalmic lenses which have a high degree of optical sharpness and contrast sensitivity.

[0034] Furthermore, the disclosure offers the advantage that unwanted artifacts during imaging through an ophthalmic lens can be avoided or reduced. In particular, the disclosure offers the advantage that, in contrast to ophthalmic lenses with diffractive structures, unwanted foci due to further orders of diffraction can be avoided. Accordingly, an ophthalmic lens can be provided that enables higher visual acuity than conventional aspheric lenses. In particular, the disclosure can enable maximum visual acuity comparable to the visual acuity provided by a monofocal lens.

[0035] Optionally, the ophthalmic lens has a topographic surface modulation on only one lens surface. This can, for example, be the lens surface on the front or back, i.e., on the side facing away from or facing the retina of the eye. Optionally, the ophthalmic lens has a topographic surface modulation on both lens surfaces, for example, on the front and back. The two topographic surface modulations can be identical, similar, or different from each other.

[0036] Optionally, the optical effect of the ophthalmic lens can be provided primarily or exclusively by a refractive effect of the ophthalmic lens. In this case, the refractive effect can be determined by the topographical surface modulation on the lens surface. In other words, the ophthalmic lens can be designed such that at least in an area of ​​at least 20%, optionally at least 50%, and optionally at least 80% of the ophthalmic lens, no diffractive elements contribute to providing the optical effect of the ophthalmic lens. In other words, the optical effect of the ophthalmic lens can be based exclusively on the properties of the ophthalmic lens determined by the topographical surface modulation.

[0037] Optionally, topographic surface modulation is not rotationally symmetric. This can be due to the fact that a third-degree polynomial function is not symmetrical to the vertical axis through the origin, but can exhibit a change of sign. In particular, the topographic surface modulation can be designed such that a first part of the lens surface is raised relative to the base surface by the topographic surface modulation, while another part of the lens surface is lowered relative to the base surface by the topographic surface modulation. Optionally, the topographic surface modulation can be designed such that the lens surface is tilted relative to the base surface. This can be advantageous for expanding the depth of field. In particular, this can be advantageous in that an expansion of the depth of field can be achieved with particularly few side effects.

[0038] The polynomial function can optionally correspond to the following mathematical relationship, here for example of the third degree: where x and y correspond to Cartesian coordinates of a lens plane, and where at least a 0. The coordinate origin can be located at the center of the lens surface or at a distance of 0.5 mm or less from the center of the lens surface. The center of the lens surface can be located on the optical axis of the ophthalmic lens. Optionally, the polynomial function can have another constant term that depends neither on x nor y. In the unit mm -2 The following can apply to the parameters a and d: -0.5 < a < 0.5 and / or -0.5 < d < 0.5. These parameter ranges may be particularly suitable for providing an ophthalmic lens, especially an IOL, with a suitable depth of field. Optionally, the parameters can each be in a range between -0.1 and 0.1.

[0039] For the parameters b and / or c, the following can optionally apply: b = 0 and / or c = 0. This means that the mixed terms, which depend on both x and y, are zero and thus do not contribute to the polynomial function. This allows the third-degree polynomial function to be kept particularly simple. However, third-degree polynomial functions are also optionally possible in which the parameters b and / or c are not equal to zero and therefore contribute to the polynomial function.

[0040] The shape of the base curve of the lens surface can optionally have one or more of the following properties: rotationally symmetric, non-rotationally symmetric, spherical, conical, toric, biconic, and aspherical. Optionally, the base curve can be at least partially rotationally symmetric, determined by polynomial terms around the center of the lens surface. In other words, various configurations of the base curve are possible, whereby the configurations can, for example, be based on one or more of the aforementioned geometric shapes. This offers the advantage that the choice of a base curve shape can provide a degree of freedom for optimizing the ophthalmic lens.

[0041] Optionally, the base curve of the lens surface can follow one of the following mathematical functions:

[0042] Where c Bis the inverse radius of curvature of the lens surface or the base surface, r is the radial coordinate and a t denote the coefficients of rotationally symmetric aspherical terms.

[0043] Optionally, the base curve of the lens surface can follow the following mathematical function:

[0044] In this case, c x and c y represents the curvature of the lens in the meridian of the x-coordinate or y-coordinate, and Q x and Q y the Konin constants in the x-coordinate and y-coordinate, respectively. In general, any toric base curve can also have rotationally symmetric polynomial terms.

[0045] The topographical surface modulation can optionally extend only over a portion of the lens surface. Alternatively, the topographical surface modulation can optionally extend over the entire lens surface. Optionally, the topographical surface modulation can extend over at least 20%, optionally at least 30%, optionally at least 40%, optionally at least 50%, optionally at least 60%, optionally at least 70%, and optionally at least 80% of the lens surface. The region over which the topographical surface modulation extends can extend from an intended viewing point of the ophthalmic lens radially outward toward an edge of the ophthalmic lens. Optionally, the topographical surface modulation can be limited to a region of the lens surface that is adapted to a typical pupil size.The choice of the extent of the topographic surface modulation on the lens surface can serve as a degree of freedom to adapt the topographic lens to different pupil sizes under different lighting conditions.

[0046] The polynomial function can be modified by an apodization function, at least in a partial region of the topographic surface modulation. This can serve to attenuate and / or modify the expression of the topographic surface modulation in some regions of the invention compared to the polynomial function. Optionally, the apodization function can be configured such that the topographic surface modulation deviates from the polynomial function in one or more regions in which the topographic surface modulation would have a particularly large amplitude or expression according to the polynomial function. Alternatively or additionally, the apodization function can be configured such that the expression of the topographic surface modulation is attenuated in edge regions of the lens surface, which are typically covered by the iris of the eye.The ophthalmic lens can optionally be configured such that the polynomial function is not modified by the apodization function in a radial central region of the lens surface, and is modified by the apodization function in a radial outer region adjacent to the radial central region. Optionally, the apodization function can reduce the amplitude of the polynomial function in the radial outer region. Optionally, the apodization function can reduce the amplitude in the radial outer region to zero. The apodization function can thus provide a further degree of freedom for optimizing the ophthalmic lens.

[0047] The apodization function can have a minimum radius at which it begins and / or a maximum radius at which it ends. The minimum radius can be zero, and accordingly, the apodization function can begin at the center of the lens surface.

[0048] Alternatively, the minimum radius can be greater than zero, and accordingly, the apodization function does not necessarily have to start at the center of the lens surface. For example, the minimum radius can be 0.5 mm. The maximum radius can optionally extend to the edge of the lens surface. However, the maximum radius can optionally be smaller than the radius of the lens surface, and accordingly, the apodization function can already end within the lens surface. Optionally, the maximum radius of the apodization function can be 3 mm. The apodization function can optionally be used to reduce the polynomial function at the edges, so that the apodization is not most pronounced at the edge of the lens surface, but already further inside the lens surface. However, the apodization function does not necessarily reduce the polynomial modulation to zero.

[0049] The apodization function may optionally correspond to at least one of the following functions: a step function, a linear function, a quadratic function, an exponential function, and / or a parabolic function.

[0050] The topographic surface modulation can correspond to the polynomial function at least in a partial area of ​​the lens surface. In other words, the topographic surface modulation can be determined exclusively by the polynomial function and / or follow the polynomial function at least in a partial area of ​​the lens surface or on the entire lens surface.

[0051] The topographic surface modulation can optionally be based on the third-degree polynomial function, at least on a portion of the lens surface, such that the topographic surface modulation corresponds to the third-degree polynomial function modified by a rotation function. The rotation function can locally rotate the polynomial function by a predetermined angle of rotation in the circumferential direction of the lens surface depending on the radial position on the lens surface. The circumferential direction can be perpendicular to an optical axis of the ophthalmic lens.

[0052] In other words, the rotation function can be designed such that these different radial sections of the topographic surface modulation based on the polynomial function rotate in the circumferential direction of the lens surface by a rotation angle that depends on the radial position. The radial sections can represent discrete, mutually definable sections or be infinitesimally small and represent a continuum. In other words, the rotation function can be designed such that different radial components of the polynomial function underlying the topographic surface modulation are rotated by different distances in the circumferential direction. This can offer the advantage of reducing the rotational asymmetry of the topographic surface modulation.In other words, this can offer the advantage of increasing the degree of radial isotropy of the topographic surface modulation from a center of the lens surface. This can optionally further improve the mechanical and / or optical properties of the ophthalmic lens.

[0053] The rotation function can optionally be configured such that the dependence of the predetermined angle of rotation on the radial position on the lens surface is linear, quadratic, polynomial, hyperbolic, exponential, or step-like. This can provide an additional degree of freedom for optimizing the ophthalmic lens. The angle of rotation can be approximately in a range from 0° to 360°. Optionally, the angle of rotation can extend from the center of the lens surface to the edge of the lens surface in a range from 0° to 360°.

[0054] The dependence of the predetermined angle of rotation on the radial position on the lens surface according to the rotation function can optionally extend over the entire radial region of the lens surface on which the topographic surface modulation is formed, or be limited to only a partial region of the topographic surface modulation or the lens surface. In particular, the rotation function can be combined with an apodization function. This can offer further degrees of freedom in the design of the ophthalmic lens. Optionally, the course of a height profile at the edge of the ophthalmic lens follows the course of the third-degree polynomial function even if the polynomial function has been modified with a rotation function. The height profile at the edge of the ophthalmic lens, i.e., at the radially outer end of the ophthalmic lens, can remain the same even after modification of the polynomial function with a rotation function.

[0055] When modifying the third-order polynomial function with a rotation function, the topographic surface modulation can still correspond to the third-order polynomial function. This can be particularly noticeable when the surface profile is represented in polar coordinates, rather than Cartesian x and y coordinates, or in coordinates transformed with the rotation function.

[0056] The rotation function can optionally be designed as follows: where Rmax is the maximum radius of the application area of ​​the rotation function and <p der Winkel ist, welcher eine von der Drehfunktion in die Polynomfunktion induzierte „Spirale“ charakterisiert. Optional kann der maximale Radius bei einer IOL 3 mm betragen.

[0057] The rotation function can optionally have a minimum radius. This means that the rotation function does not start at the center of the lens, but only affects the polynomial function at a minimum radius greater than zero. Optionally, the minimum radius can be 0.5 mm for an IOL.

[0058] The method for generating a lens design for producing an ophthalmic lens with an extended depth of field may further comprise modifying the polynomial function at least in a partial area of ​​the topographical surface modulation using an apodization function. Alternatively or additionally, the method for generating a lens design for producing an ophthalmic lens with an extended depth of field may further comprise modifying the third-degree polynomial function with a rotation function such that the rotation function locally rotates the polynomial function by a predetermined angle of rotation in the circumferential direction of the ophthalmic lens depending on the radial position on the lens surface. This may provide further degrees of freedom for generating the lens design and, in particular, facilitate the generation of a lens design with an extended depth of field and few side effects.

[0059] The computer-readable storage medium can be any digital data storage device, such as a USB stick, a hard drive, a CD-ROM, an SD card, or an SSD card. The computer-readable storage medium can be readable over a network. Optionally, the computer-readable storage medium can form part of a server that provides data as a cloud server.

[0060] All disclosures and explanations relating to an ophthalmic lens are to be regarded as equally disclosed for all other subject matters of disclosure and vice versa, i.e. in particular for a lens design, a method for producing an ophthalmic lens, a data set in the form of a computer-readable data signal, a method for generating a lens design for producing an ophthalmic lens with extended depth of field, a computer program, a computer-readable storage medium, a data signal and a data processing device.

[0061] The features and characteristics mentioned above and explained below

[0062] Embodiments are not only in the explicitly mentioned

[0063] Combinations are not to be regarded as disclosed, but are also encompassed by the disclosure content in other technically meaningful combinations and embodiments.

[0064] Further details and advantages will now be explained in more detail using the following examples and optional embodiments with reference to the figures.

[0065] They show:

[0066] Figure 1 is a schematic representation of an ophthalmic lens with extended depth of field according to an optional embodiment;

[0067] Figure 2A shows a schematic representation of an exemplary

[0068] Visualization of the shape of a lens surface with a conical base curve and a topographic surface modulation in the form of a third-degree polynomial function;

[0069] Figure 2B schematically shows an apodization function according to an optional embodiment;

[0070] Figures 3A and 3B show a comparison of a topographical surface modification according to an optional embodiment without and with modification by a rotation function;

[0071] Figure 4 Modulation transfer functions of an ophthalmic lens according to an optional embodiment;

[0072] Figure 5 shows a defocus curve of visual acuity. Figure 6 shows the point spread function of an ophthalmic lens according to an optional embodiment;

[0073] Figure 7 Image sharpness of an IOL according to an optional

[0074] embodiment;

[0075] Figure 8 schematically shows a method for producing an ophthalmic lens according to an optional embodiment;

[0076] Figure 9 shows a method for producing a lens design for the

[0077] Manufacturing an ophthalmic lens with extended depth of field according to an optional embodiment;

[0078] Figure 10 schematically shows a data processing device according to an optional embodiment.

[0079] In the following figures, identical or similar elements in the various embodiments are designated by identical reference numerals for the sake of simplicity.

[0080] Figure 1 shows a schematic representation of an ophthalmic lens 10 with an extended depth of field according to an optional embodiment. The ophthalmic lens 10 is designed as an intraocular lens (IOL) comprising a lens body 12 and two haptics 14. According to the embodiment shown, the lens body has a lens surface on both the front and back sides.

[0081] According to the described optional embodiment, the ophthalmic lens 10 has a topographical surface modulation formed on a lens surface relative to the base curve of the lens surface (see, for example, Figures 2A, 2B, and 3A). The ophthalmic lens 10 is characterized in that the topographical surface modulation is based on a third-degree polynomial function at least on a portion of the at least one lens surface.

[0082] The topographic surface modulation can be non-rotationally symmetric.

[0083] The third degree polynomial function can correspond to the following mathematical relationship:

[0084] P(x,y) = ax 3 + bx 2 y + cxy 2 + dy 3 where x and y correspond to Cartesian coordinates of a lens plane, and where at least 0 applies. In the unit mm -2For parameters a and d, the following applies: -0.5 < a < 0.5 and / or -0.5 < d < 0.5. For parameters b and / or c, the following applies: b = 0 and / or c = 0

[0085] A shape of the base curve of the lens surface can be rotationally symmetric and / or non-rotationally symmetric and / or spherical and / or conical and / or toric and / or biconic and / or aspherical.

[0086] The topographic surface modulation may extend over a portion of the lens surface. In particular, the topographic surface modulation may extend over at least 80% of the lens surface.

[0087] The polynomial function can be modified by an apodization function at least in a partial area of ​​the topographic surface modulation. In particular, the polynomial function can be unmodified by the apodization function in a radial central area of ​​the lens surface and can be modified by the apodization function in a radial outer area adjacent to the radial central area. The apodization function can optionally reduce an amplitude of the polynomial function in the radial outer area. Optionally, the apodization function can reduce the amplitude in the radial outer area to zero. The apodization function can optionally correspond to at least one of the following functions: a step function, a linear function, a quadratic function, an exponential function, and / or a parabolic function.

[0088] The topographical surface modulation can correspond to the polynomial function at least in a partial area of ​​the lens surface.

[0089] The topographical surface modulation may be based on the third-degree polynomial function on at least a part of the lens surface such that the topographical surface modulation corresponds to the third-degree polynomial function modified with a rotation function, wherein the rotation function locally rotates the polynomial function by a predetermined angle of rotation in the circumferential direction of the lens surface depending on the radial position on the lens surface.

[0090] The rotation function can be designed such that the dependence of the predetermined angle of rotation on the radial position on the lens surface is linear or quadratic or polynomial or hyperbolic or exponential or step-like.

[0091] The dependence of the predetermined angle of rotation may optionally extend from the radial position on the lens surface according to the rotation function over the entire radial region of the lens surface on which the topographic surface modulation is formed, or may be limited to a partial region of the topographic surface modulation or the lens surface.

[0092] An optional embodiment of an ophthalmic lens with extended depth of field is described in detail below.

[0093] According to this optional embodiment, the lens body 12 of the ophthalmic lens 10 has a lens surface with a base curve and a topographic surface modulation on the front side. The base curve has a conical shape. The topographic surface modulation follows a third-degree polynomial function.

[0094] In sum, ie taking into account the base curve and the topographical surface modulation, the lens surface has a shape according to the following mathematical function: c ( c ß (x 2 + y 2 )

[0095] Saq(x, y) = - , + ax + bx £ y + cxy £ + ay J

[0096] 1 + V1 - (1 + Q)c ß 2 (x 2 + y 2 )

[0097] Where c B indicates the curvature of the base surface of the lens and Q represents the conic constant.

[0098] The lens surface exhibits a global inclination or bevel, which is determined by the terms of the third-degree polynomial function. The larger the terms of the third-degree polynomial function, especially the third power, the greater the inclination or bevel of the lens surface. The third-degree polynomial function creates a shape of the lens surface that is not rotationally symmetrical about the optical axis of the lens body 12. Due to the asymmetric properties of the third-degree polynomial function, each meridian of the ophthalmic lens has its own shape, which makes the lens body non-rotationally symmetrical and thus differs significantly from conventional designs of intraocular lenses with extended depth of field.

[0099] The following describes an ophthalmic lens 10 according to a further optional embodiment. According to this embodiment, the lens surface has a toric base curve on the front side of the lens body. The shape of the lens surface can be described by a biconic function. In summary, the lens surface, i.e., taking into account the base curve and the topographical surface modification, has a shape that can be described by the following mathematical function:

[0100] The parameters c x and c y indicate the curvature of the lens surface with respect to the meridian of the x-coordinate or the y-coordinate and Q x and Q y represent the conic constants for the x-coordinate and the y-coordinate, respectively.

[0101] Figure 2A shows a schematic representation of an exemplary visualization of the shape of a lens surface 16 with a conical base curve and a topographic surface modulation in the form of a third-degree polynomial function. The axes indicate the spatial coordinates x and y in millimeters. Several meridians are shown as examples, which characterize the shape of the lens surface 16. The coordinate origin lies at the vertex 18 of the lens surface 16, which can coincide with the optical axis of the lens body 12. The topographic surface modulation in the form of a third-degree polynomial function creates a shape of the lens surface that is not rotationally symmetrical about the optical axis.

[0102] Since the polynomial function grows rapidly with the spatial coordinates (x,y), the extent of the depth of field extension can strongly depend on the size of the entrance pupil. In the case of ophthalmic lenses, such as IOLs or implantable contact lenses, the entrance pupil can be the object-side conjugate image of the iris of the human eye, which can represent a dynamic system that can change its diameter depending on the lighting and visibility conditions (e.g., in near myosis). This can lead to the extent of the extended depth of field of such an ophthalmic lens being strongly dependent on the lighting conditions. In particular, the extension of the depth of field can increase with a larger pupil. This is not always desirable. Typically, a large extension of the depth of field is desired for near and intermediate vision, such as near vision activities.These often take place in a well-lit environment and benefit from the physiological effect of myosis (pupil constriction), also known as a small pupil condition (usually 3 mm pupil diameter for photopic conditions), whereas activities that take place in mesopic conditions (low light, pupil > 4.5 mm) often benefit from a low degree of extended depth of field to reduce any visual side effects.

[0103] Therefore, for some optional embodiments, it may be desirable to reduce the dependence of the optical power of the ophthalmic lens on the pupil size. This can optionally be achieved by an apodization function A(r), with which the third-order polynomial function or the topographic surface modulation can be modified. This modification of the third-order polynomial function by the apodization function is described below as a function of the radius r = ^x2 + y 2 described:

[0104] A(r) = 1 for |r | < r min

[0105] A(r) = S(r) for r min < \r\ < r max

[0106] Where r min and r max represent the values ​​of the radius at which the apodization function begins and ends. The function S(r) can take various forms, for example, linear, quadratic, or parabolic.

[0107] Apodization can also be useful for manufacturing purposes, as it can help adapt and / or reduce a transition zone between an optical region of the lens body and the surrounding mechanical lens frame, for example, an IOL. According to a further optional embodiment, a rotation function r(r) can be applied, by means of which the third-order polynomial function or the topographic surface modulation can be modified. The rotation function can depend on the radial position on the lens surface and rotate one or more annular sections at the respective radial position of the polynomial function or the topographic surface modulation around the optical axis of the lens body. This rotation of the polynomial function or the topographic surface modulation can serve to bring the lens surface into an increasingly rotationally symmetric configuration.

[0108] The following formula describes, as an example, a combination of a conical base curve and a third-degree polynomial function, which leads to an overall surface shape that can be described as follows:

[0109] The spatial coordinates x and y can be replaced by a coordinate transformation to a radial representation as follows: xr(x,y) = x cos(r(x,y)) — y sin(r(x,y))

[0110] The rotation function is a unique function that adjusts the local angle of rotation depending on the radial position defined by the magnitudes of x and y on the lens surface. The rotation function can be linear, polynomial, or any other technically reasonable relationship.

[0111] Figure 2B shows an example of a topographical

[0112] Surface modification along the diameter by a lens surface 16 relative to the base curve, which is not shown for clarity. In other words, the graphs in Figure 2B show the topographical changes brought about by the topographical surface modulation starting from the base curve. The horizontal axis shows the radius in millimeters, where the coordinate origin can correspond to the center of the lens surface. The vertical axis shows the topographic elevation (positive values) or depression (negative values) relative to the base curve in millimeters. Graph 200 represents a topographical modification that corresponds to a third-degree polynomial function without being modified by an apodization function.Graph 202 represents a topographic modification corresponding to a third-degree polynomial function modified with an apodization function so that the features are flattened in the radial outer region. According to the embodiment shown, the apodization function begins at a minimum radius of 0.5 mm and ends at a maximum radius of 3 mm, starting from the center of the lens surface at the coordinate origin. The apodization function only modifies the polynomial function of the topographic surface modulation, but not the base area of ​​the lens surface.

[0113] Figures 3A and 3B show a comparison of a topographical surface modification without (Figure 3A) and with modification by a rotation function (Figure 3B). The false-color representation in Figure 3A shows that a topographical surface modulation can lead to a tilt of the surface shape relative to the base curve, with the surface shape being raised on one side and lowered on the opposite side relative to the base curve.

[0114] Figure 3B illustrates the effect of modifying the polynomial function with a rotation function. As indicated by the dashed arrows, the topographical surface modification is rotated to varying degrees in the circumferential direction depending on the radial position, starting from the center of the lens surface. This results in a surface shape that is somewhat closer to a rotationally symmetric shape than the surface shape without modification by a rotation function (Figure 3A).

[0115] The ophthalmic lens 10 configured as an IOL according to Figure 2 can exhibit advantageous optical properties. The Through Focus Modulation Transfer Function (TF-MTF) was calculated for polychromatic light using the luminous efficacy function to match the spectral sensitivity of human perception and thus most closely reflect the real-life conditions encountered by patients with an ophthalmic lens.

[0116] The TF-MTF for small and large pupils is shown in Figure 4, where the horizontal axis represents the refractive power in diopters and the vertical axis represents the TF-MTF in line pairs per mm (Ip / mm). Graph 402 represents the TF-MTF for a pupil diameter of 3 mm, and graph 404 represents the TF-MTF for a pupil diameter of 4.5 mm.

[0117] As can be seen in Figure 4, the TF-MTF is characterized by slowly decreasing values ​​around the focal point, demonstrating that the ophthalmic lens provides a good extended depth of field for a wide diopter range, while maintaining contrast sensitivity or changing only slowly over this range. To influence the pupil-size-dependent behavior of the extended depth of field, the polynomial function of the topographical surface modification is modified with a quadratic apodization function, which smooths the contribution of the polynomial function at the edges of the lens surface.

[0118] Using MTF calculations, one can simulate the monocular visual acuity that such an IOL can provide to the patient. According to the reference

[0119] Aixa Alarcon et al.: "Preclinical metrics to predict through-focus visual acuity for pseudophakic patients," Biomed. Opt. Express 7, 1877-1888 (2016) can be used to calculate the defocus curve of visual acuity. This is shown as an example in Figure 5. The horizontal axis shows the optical refractive power in diopters and the vertical axis the visual acuity. Graph 502 shows the case for a pupil diameter of 3 mm and graph 504 for a pupil diameter of 4.5 mm. The area available in the form of an extended depth of field is indicated by arrow 506. Here, the EDOF effect, i.e., the extension of the depth of field up to 2 diopters, can be estimated.Furthermore, the large width of the curve in the hyperopic direction demonstrates that visual acuity remains high even if the plane of emmetropia is not perfectly achieved after surgery, making the lens design very tolerant of small deviations from the perfect plane in the eye.

[0120] Graphs 502 and 504 represent calculated polychromatic visual acuity curves for photopic and mesopic conditions, respectively. Arrow 506 indicates an effective EDOF, i.e., an effective range of extended depth of field. This refers to the fact that for a patient, the useful part of the visual acuity curve lies in the myopic direction, where a diopter increase corresponds to vision at a specific distance (e.g., +1.5 D at the spectacle plane can correspond to vision at ~70 cm).

[0121] Another special feature of the ophthalmic lens shown in Figure 2A is the "triangular" point spread function (PSF), which can result from a lens asymmetry caused by the topographic surface modulation following a third-order polynomial function. An example of a PSF shape is shown in Figure 6. The horizontal axis represents the position in the x-direction in micrometers, and the vertical axis represents the y-direction in micrometers. Here, the light focused by the ophthalmic lens is not completely concentrated at the central focal point, but is distributed asymmetrically in the x- and y-directions. The extent of the light distribution in the x- and y-directions can be controlled by the size of the polynomial coefficients a and d. The higher the value of a coefficient, the more light is distributed along this axis.

[0122] The ability of this lens design to provide high contrast sensitivity over a wide diopter range was also tested by imaging a USAFT test slide with the ophthalmic lens.

[0123] Figure 7 shows that the image sharpness of an IOL according to an optional embodiment of Figure 2A is maintained from the measurement points -0.82 D to +0.82 D. The top row shows the results for a pupil diameter of 3 mm and the bottom row for a pupil diameter of 4.5 mm. With a larger pupil, an effect of the PSF can be seen in the details of the optical imaging, since the resulting image through an optical system is always the product of the convolution between the imaged object and the PSF of the optical system. The effect of asymmetry can be achieved (i) by apodizing the polynomial function, (ii) by limiting the extent of the topographic surface modulation to a restricted part of the lens surface, and / or (iii) by modifying it using a rotation function.

[0124] Figure 8 schematically shows a method 800 for producing an ophthalmic lens 10, characterized in that the method 800, in a step 802, produces the ophthalmic lens using a lens design according to the disclosure.

[0125] Figure 9 schematically shows a method 900 for generating a lens design for the manufacture of an ophthalmic lens 10 with extended depth of field according to an optional embodiment.

[0126] The method 900 includes, in a step 902, defining a base curve for a lens surface 16 of the ophthalmic lens 10. In a step 904, the method 900 includes defining a topographical surface modulation relative to the base curve of the lens surface 16.

[0127] The method 900 is characterized in that the topographical surface modulation is determined relative to the base curve of the lens surface 16 such that the topographical surface modulation is based on a third-degree polynomial function at least on a part of the lens surface 16.

[0128] Furthermore, the method 900 may comprise, in a step 906, modifying the polynomial function at least in a partial area of ​​the topographic surface modulation by means of an apodization function.

[0129] Furthermore, the method 900 may include, in a step 908, modifying the third-degree polynomial function with a rotation function such that the rotation function locally rotates the polynomial function by a predetermined rotation angle in the circumferential direction of the ophthalmic lens depending on the radial position on the lens surface 16.

[0130] Figure 10 schematically shows a data processing device 20 according to an optional embodiment, which is configured to execute a method described above for generating a lens design. The data processing device may include a processor 22 and a memory 24. List of Reference Symbols

[0131] 10 ophthalmic lens

[0132] 12 lens bodies

[0133] 14 Haptics

[0134] 16 Lens surface

[0135] 18 vertex

[0136] 20 Data processing device

[0137] 22 processors

[0138] 24 storage

[0139] 200 polynomial function without modification by apodization function

[0140] 202 Polynomial function with modification by apodization function

[0141] 402, 404 Modulation transfer function

[0142] 502, 504 Visual acuity

[0143] 506 EDoF, extended depth of field

[0144] 800 manufacturing processes for ophthalmic lenses

[0145] 802 Process step

[0146] 900 Methods for producing a lens design

[0147] 902 - 908 Process steps

Claims

Patent claims 1. An ophthalmic lens (10) with an extended depth of field, wherein the ophthalmic lens (10) has a topographical surface modulation formed on a lens surface (16) relative to the base curve of the lens surface (16), characterized in that the topographical surface modulation is based on a third-degree polynomial function (200) at least on a part of the at least one lens surface (16).

2. Ophthalmic lens (10) according to claim 1, wherein the topographical surface modulation is not rotationally symmetric.

3. Ophthalmic lens (10) according to claim 1 or 2, wherein the polynomial function (200) corresponds to the following mathematical relationship: P(x,y) = ax 3 + bx 2 y + cxy 2 + dy 3 where x and y correspond to Cartesian coordinates of a lens plane, and where at least applies.

4. Ophthalmic lens (10) according to claim 3, wherein in the unit mm -2 for the parameters a and d the following applies: -0.5 < a < 0.5 and / or -0.5 < d < 0.

5.

5. Ophthalmic lens (10) according to claim 3 or 4, wherein for the parameters b and / or c: b = 0 and / or c = 0.

6. An ophthalmic lens (10) according to any one of the preceding claims, wherein a shape of the base curve of the lens surface has one or more of the following properties: rotationally symmetric, non-rotationally symmetric, spherical, conical, toric, biconic, and aspherical.

7. Ophthalmic lens (10) according to one of the preceding claims, wherein the topographical surface modulation extends over a portion of the lens surface (16).

8. Ophthalmic lens (10) according to one of the preceding claims, wherein the topographical surface modulation extends over at least 20% of the lens surface (16).

9. Ophthalmic lens (10) according to one of the preceding claims, wherein the polynomial function (202) is modified by an apodization function at least in a partial area of ​​the topographical surface modulation.

10. The ophthalmic lens (10) according to claim 9, wherein the polynomial function (202) is not modified by the apodization function in a radial central region of the lens surface (16) and is modified by the apodization function in a radial outer region adjacent to the radial central region.

11. The ophthalmic lens (10) of claim 10, wherein the apodization function reduces an amplitude of the polynomial function (202) in the radial outer region.

12. Ophthalmic lens (10) according to claim 11, wherein the apodization function reduces the amplitude in the radial outer region to zero.

13. The ophthalmic lens (10) according to any one of claims 9 to 12, wherein the apodization function corresponds to at least one of the following functions: a step function, a linear function, a quadratic function, an exponential function, and a parabolic function.

14. Ophthalmic lens (10) according to one of the preceding claims, wherein the topographical surface modulation corresponds to the polynomial function at least in a partial area of ​​the lens surface (16).

15. Ophthalmic lens (10) according to one of the preceding claims, wherein the topographical surface modulation is based on the third-degree polynomial function (200, 202) on at least a part of the lens surface (16) such that the topographical surface modulation corresponds to the third-degree polynomial function (200, 202) modified with a rotation function, wherein the rotation function rotates the polynomial function (200, 202) locally by a predetermined angle of rotation in the circumferential direction of the lens surface (16) as a function of the radial position on the lens surface (16).

16. Ophthalmic lens (10) according to claim 15, wherein the rotation function is designed such that the dependence of the predetermined angle of rotation on the radial position on the lens surface (16) is linear or quadratic or polynomial or hyperbolic or exponential or step-like.

17. Ophthalmic lens (10) according to claim 15 or 16, wherein the dependence of the predetermined angle of rotation on the radial position on the lens surface (16) according to the rotation function extends over the entire radial region of the lens surface (16) on which the topographical surface modulation is formed, or is limited to a partial region of the topographical surface modulation or the lens surface (16).

18. Ophthalmic lens (10) according to one of the preceding claims, wherein the ophthalmic lens (10) is designed as an intraocular lens.

19. Lens design for the manufacture of an ophthalmic lens (10) with extended depth of field, characterized in that the manufacture of a ophthalmic lens (10) according to the lens design results in an ophthalmic lens (10) according to one of the preceding claims.

20. A method (800) for manufacturing an ophthalmic lens (10), characterized in that the method (800) manufactures the ophthalmic lens (10) using a lens design according to claim 19. 21 . Data set in the form of a computer-readable data signal comprising at least one of the following data: (i) a numerical representation of the ophthalmic lens (10) according to any one of claims 1 to 19, wherein the numerical representation is adapted to be fed to a manufacturing machine for manufacturing the ophthalmic lens (10); (ii) data comprising computer-readable instructions for controlling and / or regulating one or more manufacturing machines for producing an ophthalmic lens (10) according to any one of claims 1 to 19.

22. A method (900) for producing a lens design for the manufacture of an ophthalmic lens (10) with extended depth of field, comprising the steps of: - defining (902) a base curve for a lens surface (16) of the ophthalmic lens (10); - defining (904) a topographical surface modulation relative to the base curve of the lens surface (16); characterized in that the defining (904) of the topographical surface modulation relative to the base curve of the lens surface (16) is carried out in such a way that the topographical surface modulation is based on a third-degree polynomial function (200) at least on a part of the lens surface (16).

23. The method (900) of claim 22, further comprising: Modifying (906) the polynomial function (200, 202) at least in a partial area of ​​the topographical surface modulation by means of an apodization function.

24. The method (900) according to claim 22 or 23, further comprising: - modifying (908) the third-degree polynomial function with a rotation function such that the rotation function rotates the polynomial function (200, 202) locally by a predetermined angle of rotation in the circumferential direction of the ophthalmic lens as a function of the radial position on the lens surface (16).

25. A computer program comprising instructions which, when executed by a computer, cause the computer to perform a method according to any one of claims 22 to 24.

26. A computer-readable storage medium having stored therein a computer program according to claim 25.

27. A data signal containing a computer program according to claim 25.

28. Data processing device (20) which is configured to carry out a method (900) according to one of claims 22 to 24.

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