Ophthalmic lens and method for designing and for producing such a lens

Abstract

An ophthalmic lens (10) with an extended range of focus is made available, the ophthalmic lens (10) comprising a lens body (14) which has a plurality of concentrically arranged annular zones (12). Each of the annular zones (12) has a predetermined refractive power, which differs from the respective refractive powers of the directly adjacent annular zones (12). Each of the annular zones (12) has a topographic relief structure (16), which is designed to effect a phase shift (18) for a partial wave propagating through the respective annular zone (12), wherein the phase shifts (18) in the annular zones (12) at least partially differ from one another and in each case have one of at least five different predetermined values, and wherein each of the annular zones (12) has a predetermined zone area, and the predetermined zone areas of the annular zones (12) at least partially differ from one another. Furthermore, methods for designing and for producing an ophthalmic lens (10) are made available.

Description

[0001] Tautz & Schuhmacher IP CZM1122P12WO September 12, 2023 1 / 37 OPHTHALMIC LENS AND METHOD FOR DESIGNING AND MANUFACTURING SAME Provided are an ophthalmic lens with an extended focal range, a method for designing an ophthalmic lens, a method for manufacturing an ophthalmic lens, and a use of a subdivision into multiple annular zones. The embodiments thus lie in the field of ophthalmic lenses and in particular in the field of intraocular lenses. Ophthalmic lenses having an extended focal range are known in the prior art. Such lenses are often referred to as EDOF lenses, which is an abbreviation for "Enhanced Depth Of Field," which refers to the extended focal range.An extended focal range can in particular ensure that ophthalmic lenses are accepted by the patient as a suitable visual aid even if the effect of the ophthalmic lens is not precisely adapted to the patient's visual impairment, or if, in addition to vision at a distance, an additional continuous field of vision in an intermediate range and possibly up to the near range is enabled. Particularly in the field of intraocular lenses, lenses are often used for this purpose which have both a refractive and a diffractive effect, as described, for example, in EP 1194797 B1. Fresnel lenses with several zones are provided in which the zones have equal zone areas according to the Fresnel division and in which an incoherent superposition of the partial waves imaged by different zones of the Fresnel lenses takes place in the focal range.In particular, such lenses can be designed as bifocal or multifocal lenses. Conventional ophthalmic EDoF lenses based on Fresnel lenses typically have the disadvantage that diffractive effects occur at the zone boundaries, which impair imaging performance and lead to artifacts that can be perceived as disturbing. Traditionally, such diffractive effects are ignored or accepted as unavoidable. Furthermore, intraocular lenses are known in the prior art that have a diffractive structure with a periodicity of three zones, as described, for example, in EP2377493B1. EDoF lenses that do not have Fresnel profiles are also known in the prior art. US11,364,112 B2 describes a method and a system for providing an ophthalmic lens with a diffractive structure having a plurality of zones.US 2011 / 0098811 A1 describes a diffractive multifocal design for intraocular lenses. The object is therefore to provide an ophthalmic lens with an extended focal range that overcomes the disadvantages of conventional EDOF lenses. This object is achieved by an ophthalmic lens with an extended focal range, a method for designing an ophthalmic lens, a method for manufacturing an ophthalmic lens, and a division into several annular zones with the features of the respective independent claims. Optional embodiments are specified in the subclaims and in the description. In a first aspect, an ophthalmic lens with an extended focal range is provided. The ophthalmic lens comprises a lens body having several concentrically arranged annular zones.Each of the annular zones has a predetermined design refractive power that differs from the respective design refractive powers of the directly adjacent annular zones. Furthermore, each of the annular zones has a topographical relief structure designed to cause a phase shift for a partial wave propagating through the respective annular zone, wherein the phase shifts in the annular zones differ at least partially from one another and each have one of at least five different predetermined values, and wherein each of the annular zones has a predetermined zone area, and the predetermined zone areas of the annular zones differ at least partially from one another. In a further aspect, a method for designing an ophthalmic lens is provided.The method comprises defining a subdivision of the ophthalmic lens into a plurality of concentrically arranged annular zones such that each of the annular zones has a predetermined zone area and the predetermined zone areas of the annular zones differ at least partially from one another. The method further comprises defining topographical relief structures for the annular zones such that the annular zones cause a phase shift for a partial wave propagating through the respective annular zone, wherein the phase shifts in the annular zones differ at least partially from one another and each have one of at least five different predetermined values. In a further aspect, a method for producing an ophthalmic lens is provided.The method comprises defining a subdivision of the ophthalmic lens into a plurality of concentrically arranged annular zones such that each of the annular zones has a predetermined zone area and the predetermined zone areas of the annular zones differ at least partially from one another. Furthermore, the method comprises defining topographical relief structures for the annular zones such that the annular zones cause a phase shift for a partial wave propagating through the respective annular zone, wherein the phase shifts in the annular zones differ at least partially from one another and each have one of at least five different predetermined values. Furthermore, the method comprises manufacturing the ophthalmic lens according to the defined subdivision and according to the defined topographical relief structures.An ophthalmic lens is a lens that can be intended for the correction of a patient's visual impairment. In particular, the ophthalmic lens can be designed as an intraocular lens. The ophthalmic lens can have a lens body, at least two optically effective surfaces, and an optical axis. An ophthalmic lens with an extended focal range is an EDoF lens. Such lenses can be designed, due to their refractive and / or diffractive properties, to have a focal range that is larger than the focal range of a monofocal but otherwise similarly designed lens. In particular, ophthalmic lenses with an extended focal range can be designed as bifocal or multifocal lenses, wherein the design refractive powers of the foci are dimensioned such that a polychromatic extended focal range is created by superimposing the multiple foci.The lens body is an optically active body that images the incoming light to correct the patient's refractive error. An annular zone is a ring-shaped zone that optionally extends concentrically around the vertex on one of the surfaces of the ophthalmic lens and / or around the optical axis of the ophthalmic lens. No physical separation is required between adjacent annular zones. Rather, the annular zones can be delimited or differentiated from one another by their respective topographical relief structures. An annular zone can have multiple subzones. Optionally, an annular zone can consist of two subzones. One subzone can have a descending flank and the other subzone an ascending flank. A first subzone can be designated as the main subzone and a Tautz & Schuhmacher IP CZM1122P12WO 12.September 2023 5 / 37 The second subzone may be designed as a phase subzone. The phase zone may be configured to provide a diffractive effect. The phase subzone may be designed to provide a phase shift between the two adjacent main subzones, i.e., the main subzone of the same annular zone to which the phase subzone also belongs, and the main subzone of an adjacent annular zone. The direction of the flank of the phase subzone may be opposite to the direction of the flank of the main subzone. Optionally, the main subzone may have a falling flank running radially outward, while the phase subzone has a rising flank, or vice versa. A design power is a theoretical refractive and / or diffractive power attributable to a specific annular zone.It is not necessary for the design refractive power of a single zone to be measurable in isolation. Rather, a design refractive power can be calculated and / or derived from simulation data and simply serve to characterize the ophthalmic lens. “Pairwise different” can be understood in the mathematical sense, i.e. the annular zones differ in pairs with regard to their respective properties if and only if there are no two annular zones which are the same or identical with regard to the respective property. In other words, if pairwise difference exists, all annular zones can differ from one another with regard to the respective property. A topographical relief structure is a relief-like structure on a surface of the lens body, in particular on the front side of the lens body.The topographic relief structure can have depressions and / or recesses and / or elevations relative to a base surface of the surface of the lens body and be formed thereby. For example, the topographic relief structure can be introduced and / or applied into the lens surface by machining and / or already created with the lens during the manufacture of the lens, for example in a casting process. The base surface of the surface of the lens body is the surface shape that the surface of the lens body would have without the topographic relief structure. For example, the base surface can have a spherical and / or cylindrical shape or a freeform surface.A phase shift is a change in the optical phase of a partial wave that propagates through a topographical relief structure of a specific annular zone, compared to the phase of a reference partial wave. The reference wave can, for example, be the phase of a partial wave that propagates through an adjacent annular zone and / or a partial wave that propagates along the axial path and / or a partial wave that fictitiously propagates through the annular zone without the topographical relief structure. A partial wave is a specific part of a light wave incident on the ophthalmic lens that propagates through a specific annular zone. If the incident light wave covers several annular zones, several partial waves can be present. A method for designing an ophthalmic lens refers to a method for creating parameters that characterize the ophthalmic lens.define and on the basis of which the ophthalmic lens can be manufactured. The design can optionally be based on a computer simulation. In this case, boundary conditions and / or parameters can optionally be specified, on the basis of which the remaining parameters and the complete design for the ophthalmic lens are generated partially or completely automatically by means of a computer program. The base area is the surface profile which the ophthalmic lens would have if no topographical relief structure were formed in or on it. Tautz & Schuhmacher IP CZM1122P12WO September 12, 2023 7 / 37 The disclosure offers the advantage that due to the at least partially different phase shifts of the partial waves orof the different zone areas, such periodicities in the phase front of the light wave imaged by the ophthalmic lens can be avoided or reduced, which can lead to unwanted and often disturbing interference effects. The disclosure can therefore avoid artifacts, and thus improve the imaging performance of the ophthalmic lens and increase patient satisfaction. In particular, the disclosure can offer the advantage that, compared to conventional ophthalmic lenses with a Fresnel division, in which all annular zones have the same zone areas, the occurrence of unwanted interference can be considerably reduced. Furthermore, the disclosure offers the definition of the at least partially different phase shift of the partial waves orThe different zone areas provide at least one additional degree of freedom in the design of ophthalmic lenses, which can be used to adapt the properties of the ophthalmic lenses to the desired requirements. Optionally, the phase shifts in the annular zones caused by the topographical relief structures are no more than twice the design wavelength. The design wavelength can be, for example, the design wavelength of 546 nm or a wavelength range with a central wavelength of 546 nm ± 10 nm with a full width at half maximum (FWHM) of 20 nm, as specified in ISO 11979-2:2014, Section A.1 for intraocular lenses.The fact that the phase shifts in the annular zones caused by the topographic relief structures are each no more than twice a design wavelength is to be understood as relative to the phase of the wavefront of the partial wave that the partial wave would have upon propagation through the annular zone if the topographic relief structure Tautz & Schuhmacher IP CZM1122P12WO September 12, 2023 8 / 37 were not present. Because the phase shifts are no more than twice the design wavelength, a coherent addition of the phases and amplitudes of the partial waves in the focal area of ​​the ophthalmic lens is enabled. This can improve the imaging performance of the ophthalmic lens. The phase shifts in the annular zones caused by the topographic relief structures can differ from one another in pairs.This means that, optionally, all phase shifts caused by the topographical relief structures are different from all other phase shifts. In other words, the annular topographical relief structures may not have identical relief structures, but each of the annular zones may have an individual topographical relief structure that differs from the relief structures of all other annular zones. This offers the advantage that undesirable interference effects that can occur due to periodic topographical relief structures can be avoided particularly effectively. Alternatively, the phase shifts caused by the topographical relief structures in the annular zones may have a periodic distribution running radially outwards, provided that periodicity is avoided in a used region of the ophthalmic lenses, i.e. which is not regularly covered by the iris of the eye.In other words, a periodicity may be present with regard to the topographical relief structures, as long as this does not affect that part of the ophthalmic lens that exerts the optical effect in the eye. Each of the annular zones can have a predetermined zone area. The predetermined zone areas of the annular zones can differ at least partially from one another. In other words, the topographical relief structures of the individual annular zones can differ in their respective zone areas. This offers a degree of freedom by means of which the phase shifts can be easily influenced during the design of the ophthalmic lens. The annular zones can each have one of at least two different predetermined zone areas and optionally one of at least five different predetermined zone areas.In particular, the predetermined zone areas of the plurality of annular zones can differ from one another in pairs. This can be advantageous in particular in that periodicities in the surface structure of the ophthalmic lens and thus in the phase fronts of the light wave or the partial waves can be avoided or reduced. A variation of the predetermined zone areas can be realized by varying the zone widths. For example, the predetermined zone areas can be defined over the majority of the annular zones such that they approximately follow a normal distribution. The predetermined zone areas of adjacent annular zones can have a periodic distribution of the predetermined zone areas running radially outwards, provided that periodicity is avoided in a used region of the ophthalmic lens, i.e. which is not regularly covered by the iris of the eye.In other words, a periodicity may be present with regard to the topographical relief structures, as long as this does not affect that part of the ophthalmic lens which exerts the optical effect in the eye. At least one of the plurality of annular zones, and optionally all of the plurality of annular zones, may each have a main subzone and a phase subzone, as described, for example, in document EP 1194797 B1. The main subzone may, for example, primarily serve to effect the desired phase modulation within the zone, and the phase subzone primarily serves to produce a phase shift relative to the adjacent main subzone, optionally producing a continuous profile of the surface of the ophthalmic lens. For example, the main subzone may occupy approximately 90% of the zone area of ​​the annular zone, and the phase subzone approximately 10% of the zone area of ​​the annular zone.September 2023 10 / 37 Zone. Optionally, the phase subzone can be designed such that the phase subzone returns the topographic relief structure to the base surface of the ophthalmic lens, i.e., the topographic relief structure at the boundary between two adjacent annular zones is returned to the level that corresponds to the surface of the lens body without taking the topographic relief structure into account. Alternatively or in addition to varying zone areas, the respective topographic relief structures of the annular zones can differ, at least in part, in their relief depth. The relief depth is an extension of the depression and / or elevation of the topographic relief structure perpendicular to the base surface, i.e., perpendicular to the surface of the lens body.The zone depth does not have to be the same across the entire topographic relief structure, but can have a profile across the annular zone, in particular a relief depth that varies radially across the annular zone. Thus, the relief depth of a topographic relief structure can optionally have a rectilinear, parabolic, hyperbolic, or circular arc-shaped profile in the radial direction. Unless otherwise stated, the relief depth refers to the maximum relief depth of an annular zone. The topographic relief structures of the annular zones can each have one of at least two different predetermined relief depths, optionally one of at least five different predetermined relief depths, and optionally one of at least five different predetermined relief depths. The predetermined relief depths of the topographic relief structures of the multiple annular zones can optionally differ from one another in pairs.This offers the possibility of easily providing the phase shifts caused by the topographical relief structures. Optionally, this can be combined with a variation of the zone areas of the annular zones. The predetermined zone areas of the multiple annular zones can optionally each be within a range of 0.3 mm. 2 and 2 mm 2The zone areas of the annular zones can correspond to a random distribution. Likewise, the topographic relief depths of the annular zones can correspond to a random distribution. The random distribution can be based on a distribution function, such as a normal distribution or any other distribution function. The distribution function can be specified, for example, as a parameter for generating the random distributions. The random distribution can determine the individual deviations of the respective zone areas from a specified value. For example, a Fresnel distribution can be used as the initial value, in which all annular zones of an ophthalmic lens have the same zone areas.By means of a random distribution, for example, variations of the individual zone areas can be defined in deviation from the Fresnel distribution in order to avoid, as described above, undesired periodicities in the surface structure of the ophthalmic lens and the associated undesired interference. Alternatively or additionally, a mean and / or median value for the zone areas and / or the relief depths can be specified as an initial value, on the basis of which the random distribution can then be applied to vary the zone areas and / or relief depths. The method for designing an ophthalmic lens can be configured such that the topographical relief structures are defined in such a way that the phase shifts of the multiple annular zones caused by the topographical relief structures differ pairwise.However, pairwise dissimilarity is not absolutely necessary for the advantages of the disclosure to arise. In particular, when using a random distribution, it may happen that two or even more annular zones randomly have identical zone areas according to the random distribution, although the probability of this may be very low. This is not contradicted by the fact that the aim of the random distribution is to avoid undesirable periodicities in the surface structure of the ophthalmic lens and in particular in the topographic relief structures. Tautz & Schuhmacher IP CZM1122P12WO September 12, 2023 12 / 37 The topographic relief structures and the zone areas can thus be determined based on a random distribution.The determination of the topographical relief structures can comprise varying the respective zone areas of the annular zones based on predetermined initial values ​​for the respective zone areas and / or varying the respective relief depths based on predetermined initial values ​​for the respective relief depths. As described above, a distribution function, such as a normal distribution or a uniform distribution, can serve as the initial value. Alternatively or additionally, a desired mean and / or median value can be specified for the relief depth. The predetermined initial values ​​for the respective zone areas and / or relief depths can be predetermined such that the initial values ​​for the respective zone areas and / or respective relief depths correspond to a Fresnel distribution.Determining the subdivision of the ophthalmic lens into several concentrically arranged annular zones and / or determining the topographical relief structures for the annular zones can be performed using a Monte Carlo simulation. The method can comprise filtering simulation results of the Monte Carlo simulation and identifying those simulation results that lie within a predetermined parameter range that can be expected to yield suitable design properties for the ophthalmic lens. The predetermined parameter range can optionally be determined or influenced by a desired refractive and / or diffractive effect and / or a desired depth of field.The Monte Carlo simulation may include varying one or more of the following variation parameters: a number of annular zones, a type of distribution function for zone areas and / or design refractive powers of the individual annular zones, a distribution function for the relief depths and / or a relief shape in the topographical relief structures, absolute phase shifts in the individual annular zones, and upper and / or lower starting points of the variation. This may offer the advantage that, with little effort, a multitude of potentially suitable designs for ophthalmic lenses with desired properties can be provided, which exhibit a lower degree of unwanted interference than conventional ophthalmic lenses based on a Fresnel design with annular zones of the same area.To determine a suitable random distribution, the method for designing an ophthalmic lens can optionally use a Monte Carlo simulation. The method can further comprise filtering the simulation results to identify those simulation results that lie within a desired parameter range that allows suitable design properties for the ophthalmic lens to be expected. Possible variation parameters and optimization variables that can be used include, for example, one or more of the following parameters: a number of annular zones, a type of distribution function for zone areas and / or design refractive powers of the individual annular zones, a distribution function for the relief depths and / or the shape of the relief in the topographical relief structures, absolute phase shifts in the individual annular zones, and upper and / or lower starting points of the variation and equivalent parameters.To generate a random distribution, a state-of-the-art random generator can be used, such as the one implemented by default in the WOLFRAM MATHEMATICA 13.0.1 software. This generator is characterized by extremely long periodicity and advantageous properties for generating random numbers according to specific distributions. Further details can be found, for example, in the following publications: Belsley, David A.: Generating Random Numbers in Mathematica 6, pp. 71–77. DOI: 10.1007 / 978-1-4757-2644-2_5. Tautz & Schuhmacher IP CZM1122P12WO September 12, 2023 14 / 37 H. Amman et al. (eds.), Computational Approaches to Economic Problems, 71–77; 1997, Kluwer Academic Publishers.The features and embodiments mentioned above and explained below are not only to be regarded as disclosed in the respective explicitly mentioned combinations, but are also encompassed by the disclosure content in other technically meaningful combinations and embodiments. Further details and advantages will now be explained in more detail using the following examples and optional embodiments with reference to the figures. Figure 1 shows a schematic representation of an ophthalmic lens according to an optional embodiment. Figure 2 shows an exemplary illustration of an ophthalmic lens according to an optional embodiment in a cross-sectional view. Figure 3 explains an ophthalmic lens according to a further optional embodiment using two graphs. Figure 4 shows the phase profile of an ophthalmic lens according to a further optional embodiment in an exemplary graph.Figure 5 shows a topographical surface profile and a phase profile of an ophthalmic lens according to a further optional embodiment. Figure 6 shows the surface profile and the phase profile of a further optional embodiment of an ophthalmic lens. Tautz & Schuhmacher IP CZM1122P12WO September 12, 2023 15 / 37 Figure 7 explains, by way of example, a method for designing an ophthalmic lens according to an optional embodiment. Figures 8A and 8B show, by way of example, optionally predetermined distribution functions. Figure 9 shows, by way of example, a series of possible target functions for the relative imaging performance of a target design. In the following figures, identical or similar elements in the various embodiments are denoted by the same reference numerals for the sake of simplicity. Fig.1 shows a schematic representation of an ophthalmic lens 10 according to an optional embodiment in plan view, in which a plurality of annular zones 12 are formed on the lens body 14. The ophthalmic lens 10 can be designed as an intraocular lens and, in addition to the lens body 14, can have further elements, such as one or more haptics, although these are not shown in the schematic representation. The annular zones 12 are arranged concentrically on the lens body 14 and accordingly have a ring-like shape, wherein the size and width of the annular zones 12 are determined by an inner and an outer radius of the annular zone 12. The innermost zone Z1 has a circular disk-shaped shape, which is characterized by an inner radius equal to zero.All annular zones 12 from the second zone Z2 onward, which are located radially further outward, have a ring-like shape in which the inner radius is not equal to zero. According to the embodiment shown, the annular zones 12 have different widths and zone areas. Unlike in a Fresnel-type distribution, in which all zones have the same zone areas, according to the embodiment shown, the zone areas are varied to avoid a periodic structure on the surface of the ophthalmic lens 10. Tautz & Schuhmacher IP CZM1122P12WO September 12, 2023 16 / 37 This avoids artifacts that could otherwise occur due to interference caused by the periodic structure and reduce the imaging performance of the ophthalmic lens 10.The lens body 14 can be made entirely of one material, so that, in particular, there is no change in the volume of the lens body, even at the boundaries between adjacent annular zones 12. However, the annular zones can be differentiated by a topographical relief structure arranged on the surface of the ophthalmic lens. This is explained below by way of example with reference to Figure 2. Figure 2 shows an exemplary illustration of an ophthalmic lens 10 according to an optional embodiment in cross-sectional view, in which the lens body 14 has a plurality of annular zones 12. It can be seen that the annular zones extend concentrically around the optical axis 1000 of the ophthalmic lens 10.On the upper surface of the lens, which in the case of an intraocular lens may be the surface facing the iris, topographic relief structures 16 are applied, each extending in an annular zone 12 and correspondingly running concentrically around the optical axis 1000. It should be noted that neither the number nor the size of the annular zones 12 and the topographic relief structures 16 are shown to scale; rather, for better visibility, the number of annular zones 12 may be reduced and the shape of the topographic relief structures 16 may be shown enlarged relative to the lens body 14. The topographic relief structures 16 are designed such that they provide the ophthalmic lens with a diffractive effect, which, together with the refractive effect of the lens body 14, shapes the optical effect of the ophthalmic lens 10. Tautz & Schuhmacher IP CZM1122P12WO 12.September 2023 17 / 37 According to the optional embodiment shown, the topographic relief structures 16 are each formed by a recess or depression in the lens body 14 compared to the regular surface of the lens body 14 that the lens body 14 would have without the topographic relief structures 16. The regular surface of the lens body 14 is also referred to as the base surface 14a in the context of this disclosure. According to the optional embodiment shown, the individual annular zones 12 differ from one another in their zone areas, and the topographic relief structures 16 differ from one another in their relief depth. The relief depth is the maximum height between the highest and lowest point of the topographic relief structure parallel to the optical axis 1000 or perpendicular to the base surface 14a.The varying zone areas and the varying relief depths generate phase shifts that collect individual partial waves propagating through a respective annular zone 12, with the resulting phase shifts also differing from one another. By avoiding periodicities, and in particular short periodicities, i.e., across only a few annular zones 12, the occurrence of unwanted interference and artifacts can be avoided and the imaging performance of the ophthalmic lens 10 can be improved accordingly. The annular zones 12 and the topographical relief structures 16 are optionally designed such that the phase shifts collected by the partial waves in the individual annular zones 12 do not exceed a value of twice the design wavelength.In the case of an ophthalmic lens 10 designed as an intraocular lens, the design wavelength is optionally 546 nm, as specified in the ISO 11979-2 standard. This enables a coherent addition of the individual partial waves, i.e., the individual portions of the light wave imaged by the individual annular zones 12 of the ophthalmic lens 10, in the focal region of the ophthalmic lens 10 and, accordingly, an improved imaging performance. For the sake of completeness, it should be noted that not all annular zones 12 and not all areas of the surface of the lens body 14 need to be provided with a topographical relief structure 16; rather, according to some optional embodiments, the topographical relief structures 16 can also be formed only in some annular zones 12.It is also pointed out that the relief-like structures 16 can, alternatively or additionally, in principle also be formed inside the lens body 14 and / or on the lower surface of the lens body 14. Figure 3 illustrates an ophthalmic lens 10 according to a further optional embodiment using two graphs. The lower graph plots the profile of the topographic relief structure 16 relative to the base surface 14a, i.e., the topographic profiles h0 to h3, etc., of the individual annular zones 12. The horizontal axis indicates the (linear) radius in millimeters, and the vertical axis indicates the sagittal differential height of the topographic relief structure in micrometers, i.e., the elevation or depression of the topographic relief structure relative to the regular surface 14a of the lens body 14.The first six annular zones 12 are identified by way of example with curly brackets and corresponding lines and are designated Z1 to Z6. Furthermore, the individual annular zones 12 are each subdivided into a main subzone 12a and a phase subzone 12b. The main subzones 12a occupy the majority of the respective annular zone 12, while the phase subzones 12b merely form the edge of the respective annular zone 12, in which the topographic relief structure 16 is traced back to the base surface 14a according to the optional embodiment shown. As can be seen in the graph, all annular zones 12 have different widths and zone areas from one another. Furthermore, it can be seen that the relief heights of the individual topographical Tautz & Schuhmacher IP CZM1122P12WO 12 September 2023 19 / 37 relief structures 16 in the individual annular zones 12 are also different from each other.According to the embodiment shown, the topographical relief structures 16 only have recesses, so that the topographical relief structures 16 cause the surface of the ophthalmic lens 10 to follow a profile that lies below the base surface 14a. The upper graph shows the phase shifts 18 of the partial waves propagating through the respective annular zones 12, resulting from the annular zones 12 and the topographical relief structures 16, i.e. the phase profile 18 of the ophthalmic lens 10 and the individual annular zones 12. For better comparability, the graphs are arranged such that the (linear) radius in millimeters is plotted on the horizontal axis in the same way. The phase shift 18 in design wavelengths is plotted on the vertical axis, where the value 1.0 represents a whole wavelength of the design wavelength.It can be seen that the phase shifts 18 in the various annular zones 12, ie, for the various partial waves, have different values ​​from one another and even differ from one another in pairs. The phase shifts 18 in the first three annular zones Z1 to Z3 are indicated by corresponding auxiliary lines up to ^. ^While the phase shifts 18 build up radially outward in the main subzones 12a, according to the embodiment shown, they are returned to zero in the phase subzones 12b. It can be seen that the maximum value of the individual phase shifts 18 is less than one and the phase shift 18 is thus less than one wavelength of the design wavelength. This enables a coherent superposition of the partial waves in the focus area of ​​the ophthalmic lens 10. Figure 4 shows, in an exemplary graph, the phase profile 18 of an ophthalmic lens 10 according to a further optional embodiment, wherein the square radius r is shown on the horizontal axis. 2 of the ophthalmic lens 10 in mm 2The vertical axis shows the phase shift in design wavelengths. The linear curve of the phase shifts 18 against the square radius reveals a complete or at least approximately parabolic curve of the phase shifts 18 with the radius over the individual annular zones 12, whereby at the boundary between two annular zones 12 the phase shift 18 is returned to zero. Both the different widths and zone areas of the annular zones Z1 to Z7 as well as the different maximum values ​​of the phase shifts 18, of which the values to ^ ^contribute to avoiding unwanted periodicities in the surface structure of the ophthalmic lens 10 and thus to avoiding unwanted interference and artifacts. The different zone areas and maximum values ​​of the phase shifts 18 also result in different gradients of the phase shifts 18 plotted against the square radius, which can also be regarded as an indicator for the measures to avoid periodicities in the surface structure of the ophthalmic lens 10. According to other optional embodiments, not all phase shifts 18 of the annular zones 12 have a parabolic profile, but can, for example, also have a linear, hyperbolic and / or circular profile. Figure 5 shows a topographical surface profile and a phase profile 18 of an ophthalmic lens 10 according to a further optional embodiment.The graph in section a) shows the topographical surface profile in the form of the differential sagittal height in micrometers versus the base area 14a versus the linear radius r in millimeters, section b) the phase profile 18 in design wavelengths versus the linear radius r in millimeters, and section c) the phase profile 18 versus the square radius in mm. 2As can be seen, among other things, in section c), the topographical profile and in particular all topographical relief structures 16 in the annular zones 16 Z1 to Z7 have a symmetrical profile with respect to the base surface 14a, depending on the square radius. In other words, the base surface 14a of the lens body 14 forms a common line of symmetry for the phase profile 18 and, accordingly, for the diffraction profile. An advantage of this embodiment can be improved diffraction efficiency in the desired refractive power ranges compared to tracing back to a common base line or base curve. The base curve is a two-dimensional construct along a meridian of the surface.Figure 6 shows the surface profile and the phase profile of a further optional embodiment of an ophthalmic lens 10, which differs from the previous embodiments in that the phase profile has neither a common line of symmetry (across all annular zones) nor a common baseline to which the phase profiles 18 in each annular zone 12 are traced. This can offer further advantages for avoiding periodicities and avoiding artifacts. The graph shows in section a) the topographical surface profile in the form of the differential sagittal height in micrometers versus the base area 14a versus the linear radius r in millimeters, section b) the phase profile 18 in wave periods versus the linear radius r in millimeters, and section c) the phase profile 18 versus the square radius in mm. 2For better visibility, in section a), the respective starting points and end points of the topographic relief structures 16 in the first two annular zones Z1 and Z2 are marked with h1,start and h1,end, respectively, and h2,start and h2,end. Likewise, in sections b) and c), the starting points and end points of the phase shifts 18 in the first two annular zones Z1 and Z2 are marked with ^ ^,^^^^^ and ^ ^,^^^ or ^ ^,^^^^^ and ^ ^,^^^As can be seen in section a), the topographic relief structures 16 extend asymmetrically around the base surface 14a, wherein neither the beginning of the topographic relief structures nor the end of the topographic relief structures of the annular zones 12 (with the exception of the innermost annular zone Z1) lies on the base surface 14. In the following, a method 700 for designing an ophthalmic lens 10 according to an optional embodiment is explained by way of example with reference to Figure 7, without the disclosure being limited to this example.The method 700 comprises, in a first step 702, defining a subdivision of the ophthalmic lens 10 into a plurality of concentrically arranged annular zones 12 such that each of the annular zones 12 has a predetermined zone area and the predetermined zone areas of the annular zones 12 differ at least partially from one another. Furthermore, in a step 704, the method comprises defining topographical relief structures 16 for the annular zones 12 such that the annular zones 12 cause a phase shift 18 for a partial wave propagating through the respective annular zone 12, wherein the phase shifts 18 in the annular zones 12 differ at least partially from one another and each have one of at least five different predetermined values.Optionally, the method can include a further step 706 for producing the ophthalmic lens 10 according to the defined subdivision and according to the defined topographic relief structures 16, thus representing a method for producing an ophthalmic lens 10. The topographic relief structures 16 and / or the annular zones 12 can be defined based on a random distribution. For example, the topographic relief structures 16 and / or the annular zones 12 can be defined within the framework of a computer-implemented method, such as by means of a Monte Carlo simulation. The random distribution can be based on a predetermined distribution of the annular zones 12 and / or the topographic relief structures 16 as a starting point. For example, a Fresnel distribution can serve as the starting point, in which all annular zones have equal zone areas. Tautz & Schuhmacher IP CZM1122P12WO 12.September 2023 23 / 37 The definition of the annular zones 12 and / or the topographical structures 16 can comprise optimizing the optical properties of the ophthalmic lens 10 by varying one or more randomizable parameters within the framework of the computer-implemented method. For example, the phase shifts 18 caused in the annular zones 12 by the respective topographical relief structures 16 can be varied. Possible randomizable parameters for varying the phase shifts 18 between the individual annular zones 12 can be, for example, the following parameters: - absolute maximum values ​​of the phase shifts 18 (^) in the respective annular zones 12; - start and end points of the phase shifts 18 (^). ^,^^^^^ ; ^ ^,^^^), where the index i indicates the respective annular zone; - the maximum height or relief depth of the respective topographic relief structures 16, as well as their respective starting and ending heights (hi, hi,start, hi,end); Likewise, equivalent sizes of the ophthalmic lens can be changed to achieve the same effect. Alternatively or additionally, the following parameters relating to the annular zones 12 can be varied: - variation of the width of the annular zones 12, so that they have different widths depending on the square radius of the ophthalmic lens 10 (shown in Figures 5 and 6 as wi, where i indicates the number of the respective annular zone 12); - variation of the design refractive power P add,i of the individual annular zones 12; - variation of the zone area A Zone,iof the individual annular zones 12; Tautz & Schuhmacher IP CZM1122P12WO 12 September 2023 24 / 37 Where the zone area AZone, the design refractive indices Padd and the number of zones n zones defined and interdependent as follows: A ^^^^ = (2 ^ ^) / P ^^^ P ^^^ = (2 ^ ^) ⁄ A ^^^^ ^ ^^^^^ = (P ^^^ r ^^^ ^ ) ⁄ (2^) Where ^ indicates the design wavelength and rmax the maximum radius of the ophthalmic lens 10 provided with annular zones. For example, a value range can be specified for the variation of the respective parameters within which the variation should occur. The following table shows exemplary value ranges that may be suitable for the variation or randomization of the maximum value of the phase shifts 18 of the respective annular zones 12 and for the design refractive powers of the respective annular zones 12: Tautz & Schuhmacher IP CZM1122P12WO September 12, 2023 25 / 37 The value ranges indicated in parentheses are optional value ranges that may be particularly advantageous. For example, the method can produce a design for an ophthalmic lens 10 whose surface profile is configured such that the ophthalmic lens 10 has the following exemplary values: The standard deviation ^ denotes the standard deviation of the maximum values ​​of the phase shifts in the annular zones 12 from the specified mean value. The cut-off of the value range is a predefined value range of the predefined distribution function, the values ​​of which are to be taken into account, while values ​​lying outside this range are to be disregarded. This can serve to avoid values ​​that are too small and / or too large, for example for the zone area, which could lead to a technically unreasonable design and / or could not be technically feasible. Figure 8A shows, as an example, in graph 800, a predefined distribution function 802 which corresponds to a predefined normal distribution 804 with applied cut-off 806 of the value range. The design refractive power in diopters is plotted on the horizontal axis.The bars 808 indicate, by way of example, the relative frequency of annular zones 12 with the respective design refractive power in an exemplary design of an ophthalmic lens 10 resulting from the method. The vertical line 810 indicates the mean value. Tautz & Schuhmacher IP CZM1122P12WO September 12, 2023 26 / 37 Figure 8B shows, by way of example, a predefined distribution function 812, which corresponds to a predefined normal distribution 814 with applied cutting 816 of the value range. The phase shift in wavelengths of the design wavelength is plotted on the horizontal axis. The bars 818 indicate, by way of example, the relative frequency of annular zones with the respective design refractive power in an exemplary design of an ophthalmic lens 10 resulting from the method. The vertical line 820 indicates the mean value.A method for creating a design for an ophthalmic lens can generate a multitude of solutions for the optimization task and thus a multitude of possible designs. The method can therefore optionally comprise, as a further step, the selection of one or more designs from the set of results. The selection of one or more designs can comprise the specification of value ranges for one or more parameters of the designs, based on which it can be assessed whether the respective designs should be considered or not. For example, one or more of the following parameters can be used to select the designs from the set of results of a Monte Carlo simulation: - a monochromatic diffraction efficiency at previously defined defocus values, in particular in the form of a minimum value (calculation e.g.according to Fiala and Pingitzer 2000); - polychromatic diffraction efficiency at predetermined defocus values, in particular in the form of a minimum value (calculation e.g. according to Fiala and Pingitzer 2000); - diffraction efficiency at defocus = 0 D, in particular in the form of a minimum value (calculation e.g. according to Fiala and Pingitzer 2000); Tautz & Schuhmacher IP CZM1122P12WO 12 September 2023 27 / 37 - modulation transfer function (monochromatic and / or polychromatic), at predetermined defocus values, in particular in the form of a minimum value or in the form of a minimum curve; - homogeneity of the defocus curve; - width of the defocus curve, in particular in the form of a minimum value; - residual diffraction efficiency outside the desired defocus range (minimization to avoid halos and dysphotopsias), in particular in the form of a maximum value or a maximum curve.A defocus curve is understood as a plot of imaging performance against a deviation from the intended optical power (in diopters). A defocus of zero corresponds to the intended optical power. To select suitable designs for an ophthalmic lens from the list of results of a Monte Carlo simulation, one or more of the following parameters can be used alternatively or additionally: - a monochromatic diffraction efficiency at predetermined defocus values, calculated e.g. according to (Fiala and Pingitzer 2000); - a polychromatic diffraction efficiency at predetermined defocus values, calculated e.g. according to (Fiala and Pingitzer 2000); - a diffraction efficiency at defocus = 0 D, calculated e.g.according to (Fiala and Pingitzer 2000); - a predetermined configuration of a modulation transfer function (MTF) of the calculated designs, generally or specifically at predetermined defocus values ​​(monochromatic or polychromatic), in particular in the form of a minimum curve and / or a minimum value; - homogeneity of a defocus curve; - a width of the defocus curve; Tautz & Schuhmacher IP CZM1122P12WO September 12, 2023 28 / 37 - a residual diffraction efficiency outside the desired defocus range (minimization to avoid halos and dysphotopsias). The following publication is referred to as "Fiala and Pingitzer 2000": Fiala, W.; Pingitzer, J. (2000): Analytical approach to diffractive multifocal lenses. In: Eur. Phys. J. AP 9 (3), pp. 227–234. Alternatively or in addition to the parameters mentioned above, further parameters relevant for the imaging quality and / or manufacturability of an ophthalmic lens 10 can be used for selection.The listed parameters can be analyzed and evaluated for a fixed pupil size or, optionally, for several different pupil sizes. In particular, combined selection criteria can optionally be used to select designs. These can, for example, include the imaging performance at different pupil sizes. Figure 9 shows a series of possible objective functions for the relative imaging performance of a target design in a given defocus range from -1.0 D to 2.5 D (horizontal axis) for different pupil diameters. These can, for example, serve as the basis for a selection.For example, the objective functions can be specified along with a permissible standard deviation and / or quadratic deviation, so that only those designs are selected from the set of solutions whose imaging performance for the specified pupil diameters is within the specified deviation from the respective objective function. In Figure 9, graphs 900, 902, 906, and 908 show the imaging performance for pupil diameters of 1.5 mm, 1.75 mm, 2.0 mm, and 2.25 mm, respectively. According to Tautz & Schuhmacher IP CZM1122P12WO September 12, 2023 29 / 37, a selection of pupil diameters to be considered during the selection can also be used as a selection criterion.In addition, the selection criteria can optionally take into account one or more of the following exemplary parameters: - Intensities and / or diffraction efficiencies at multiple defocus states; - Intensities and / or diffraction efficiencies at defocus = 0.0 D and area under the defocus curve; - Intensity and / or diffraction efficiency at defocus = 0.0 D and width of the defocus curve; - Intensity and / or diffraction efficiency at defocus = 0.0 D and width of the defocus curve and homogeneity of the defocus curve; Alternatively or additionally, a required radius for the topographic relief structures according to the generated designs, together with a minimum value and / or a maximum value, can also be taken into account during the selection. The examples shown and mentioned in the present disclosure were calculated using the random number generator from WOLFRAM MATHEMATICA (version 13.0.1).This exhibits an extremely long periodicity and other advantageous properties for generating random numbers according to specific distributions, as described in the following publication: Belsley, David A.: Generating Random Numbers in Mathematica 6, pp. 71–77. DOI: 10.1007 / 978-1-4757-2644-2_5 The exemplary embodiments use randomly distributed numbers that obey a normal distribution trimmed on both sides. Trimming the normal distribution is advantageous in order to exclude physically unreasonable values. Otherwise, for example, a very small design refractive power could lead to a large zone area, which could exceed the lens radius of the ophthalmic lens 10.DesiredDistribution[xmin,xmax,µ,σ] = TruncatedDistribution[{xmin,xmax},NormalDistribution[µ,σ]] TruncatedDistribution[ ] represents the distribution obtained by truncating the values ​​of dist between xmin and xmax. NormalDistribution[ ] represents a normal distribution (Gaussian curve) with mean µ and standard deviation σ. DesiredDistribution[ ] represents the combination of both functions, with TruncatedDistribution[ ] applied to NormalDistribution[ ].

[0002] Tautz & Schuhmacher IP CZM1122P12WO September 12, 2023 31 / 37 List of reference symbols 10 ophthalmic lens 12 annular zone 12a main subzone 12b phase subzone 14 lens body 14a base surface of the lens body 16 topographical relief structure 18 phase shift 700 method for designing an ophthalmic lens 702 – 706 method steps 800 graph 802, 812 resulting distribution function 804, 814 underlying distribution function 806, 816 cutting of the value range 808, 818 frequency of values ​​810, 820 mean value 900 – 908 target curves for imaging performance at different pupil sizes 1000 optical axis of the ophthalmic lens Z1 – Z6 annular zones h0 … h3 topographic profile of the annular zones ^ ^ Maximum value of the phase shift in the i-th annular zone wi Width of the i-th annular zone with a quadratic plot of the radius

Claims

Tautz & Schuhmacher IP CZM1122P12WO September 12, 2023 32 / 37 Claims 1. An ophthalmic lens (10) with an extended focal range, the ophthalmic lens (10) comprising a lens body (14) which has a plurality of concentrically arranged annular zones (12), wherein: - each of the annular zones (12) has a predetermined design refractive power which differs from the respective design refractive powers of the directly adjacent annular zones (12); - each of the annular zones (12) has a topographical relief structure (16) which is designed to cause a phase shift (18) for a partial wave propagating through the respective annular zone (12), wherein the phase shifts (18) in the annular zones (12) differ at least partially from one another and each have one of at least five different predetermined values;and - wherein each of the annular zones (12) has a predetermined zone area, and the predetermined zone areas of the annular zones (12) differ at least partially from one another.

2. The ophthalmic lens (10) according to claim 1, wherein the phase shifts (18) in the annular zones (12) caused by the topographical relief structures (16) each amount to no more than twice a design wavelength.

3. The ophthalmic lens (10) according to claim 1 or 2, wherein the phase shifts (18) in the annular zones (12) caused by the topographical relief structures (16) differ from one another in pairs.

4. The ophthalmic lens (10) according to one of the preceding claims, wherein the annular zones (12) each have one of at least two different predetermined zone areas and optionally one of at least five different predetermined zone areas. Tautz & Schuhmacher IP CZM1122P12WO September 12, 2023 33 / 37 5. The ophthalmic lens (10) according to claim 4, wherein the predetermined zone areas of the plurality of annular zones (12) differ from each other in pairs.

6. The ophthalmic lens (10) according to any one of the preceding claims, wherein the ophthalmic lens (10) has a number of at least 10 annular zones (12) and optionally at least 20 annular zones (12) and optionally no more than 60 annular zones (12) and optionally no more than 50 annular zones (12).

7. The ophthalmic lens (10) according to one of the preceding claims, wherein at least one of the plurality of annular zones (12), and optionally all of the plurality of annular zones (12), each comprise a main subzone (12a) and a phase subzone (12b).

8. The ophthalmic lens (10) according to one of the preceding claims, wherein the respective topographical relief structures (16) of the annular zones (12) differ at least partially in their relief depth.

9. The ophthalmic lens (10) according to claim 8, wherein the topographical relief structures (16) of the annular zones (12) each have one of at least two different predetermined relief depths and optionally one of at least five different predetermined relief depths.

10. The ophthalmic lens (10) according to claim 8 or 9, wherein the predetermined relief depths of the topographical relief structures (16) of the plurality of annular zones (12) differ from one another in pairs.

11. The ophthalmic lens (10) according to one of the preceding claims, wherein the predetermined zone areas of the plurality of annular zones (12) each have a range of 0.3 mm. 2 and 2 mm 2 lay. Tautz & Schuhmacher IP CZM1122P12WO September 12, 2023 34 / 37 12. The ophthalmic lens (10) according to one of the preceding claims, wherein the ophthalmic lens (10) is designed as an intraocular lens. 13.A method for designing an ophthalmic lens (10), the method comprising: - defining a subdivision of the ophthalmic lens (10) into a plurality of concentrically arranged annular zones (12) such that each of the annular zones (12) has a predetermined zone area and the predetermined zone areas of the annular zones (12) differ at least partially from one another; - defining topographical relief structures (16) for the annular zones (12) such that the annular zones (12) cause a phase shift (18) for a partial wave propagating through the respective annular zone (12), wherein the phase shifts (18) in the annular zones (12) differ at least partially from one another and each have one of at least five different predetermined values.Method according to claim 13, wherein the topographical relief structures (16) are defined such that the phase shifts (18) of the plurality of annular zones (12) caused by the topographical relief structures (16) are different in pairs.

15. Method according to claim 13 or 14, wherein the topographical relief structures (16) and / or the annular zones are defined based on a random distribution.

16. Method according to one of claims 13 to 15, wherein the definition of the topographical relief structures (16) comprises varying the respective zone areas of the annular zones (12) based on predetermined initial values ​​for the respective zone areas and / or varying the respective relief depths based on predetermined initial values ​​for the respective relief depths. Tautz & Schuhmacher IP CZM1122P12WO September 12, 2023 35 / 37 17. The method according to claim 16, wherein the predetermined initial values ​​for the respective zone areas and / or relief depths are predetermined such that the initial values ​​for the respective zone areas and / or respective relief depths correspond to a Fresnel division.

18. The method according to claim 17, wherein the determination of the subdivision of the ophthalmic lens (10) into a plurality of concentrically arranged annular zones and / or the determination of the topographical relief structures (16) for the annular zones is carried out using a Monte Carlo simulation.

19. The method according to claim 18, wherein the method comprises filtering simulation results of the Monte Carlo simulation and identifying those simulation results that lie within a predetermined parameter range that allows suitable design properties for the ophthalmic lens to be expected. 20.Method according to one of claims 18 and 19, wherein the Monte Carlo simulation comprises varying one or more of the following variation parameters: a number of annular zones, a type of distribution function for zone areas and / or design refractive powers of the individual annular zones, a distribution function for the relief depths and / or a shape of the relief in the topographical relief structures, absolute phase shifts in the individual annular zones, and upper and / or lower starting points of the variation.

21. Method for producing an ophthalmic lens (10), the method comprising: - defining a subdivision of the ophthalmic lens (10) into a plurality of concentrically arranged annular zones (12) such that each of the annular zones (12) has a predetermined zone area and the predetermined zone areas of the annular zones (12) differ at least partially from one another;. Tautz & Schuhmacher IP CZM1122P12WO September 12, 2023 36 / 37 - Defining topographical relief structures (16) for the annular zones (12) such that the annular zones (12) cause a phase shift (18) for a partial wave propagating through the respective annular zone (12), wherein the phase shifts (18) in the annular zones (12) differ at least partially from one another and each have one of at least five different predetermined values; - Manufacturing the ophthalmic lens (10) according to the defined subdivision and according to the defined topographical relief structures (16).

22. Use of a subdivision into several annular zones (12) with at least partially different zone areas for expanding a focal range of an ophthalmic lens (10).

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