公开(公告)号：US06302540B1

公开(公告)日：2001-10-16

申请号：US09262341

申请日：1999-03-04

申请人： Dan Katzman ,  Jacob Rubinstein

发明人： Dan Katzman ,  Jacob Rubinstein

IPC分类号： G02C706

CPC分类号： G02C7/061 ,  G02C7/028

摘要： A method for designing a surface of a multifocal optical element, such as a progressive spectacle lens, includes the steps of partitioning a region into triangles, defining a set of functions, each representing a portion of the surface over one of the triangles, and optimizing the functions. A further embodiment includes the steps of partitioning a region into polygons, and defining a set of functions, each representing a portion of the surface over one of the polygons. Continuity constraints for values of the functions and values of the first derivatives of the functions at boundaries of the polygons are dictated. Continuity constraints for values of the second derivatives of the functions at boundaries of the polygons are not required. The functions are optimized subject to the dictated continuity constraints. Another embodiment includes the steps of partitioning a region into polygons, and defining a set of functions, each representing a portion of the surface over one of the polygons. A plurality of curves along a subset of boundaries of the polygons is determined. Values of at least one of the set including the functions, first derivatives of the functions and second derivatives of the functions, or any combination therefrom, are prescribed at selected vertices of polygons coincident with the plurality of curves. The functions are optimized subject to the prescribed values.

摘要翻译： 用于设计多焦点光学元件（例如渐进式眼镜片）的表面的方法包括以下步骤：将区域划分为三角形，定义一组函数，每个表示一个三角形上的表面的一部分，并优化 的功能。 另一实施例包括以下步骤：将区域划分成多边形，并且定义一组函数，每个函数代表多边形之一上的表面的一部分。 规定了在多边形边界处的函数的第一个导数的函数值和值的连续性约束。 不需要在多边形边界处的函数的二阶导数的值的连续性约束。 功能根据规定的连续性约束进行优化。 另一个实施例包括以下步骤：将区域划分成多边形，并且定义一组函数，每个函数代表多边形之一上的表面的一部分。 确定沿多边形的边界子集的多个曲线。 在与多个曲线一致的多边形的选定顶点处规定包括功能的集合中的至少一个，函数的一阶导数和函数的二阶导数或其任何组合的值。 功能根据规定值进行优化。

公开(公告)号：US06824268B2

公开(公告)日：2004-11-30

申请号：US10298288

申请日：2002-11-18

申请人： Jacob Rubinstein ,  Gershon Moshe Wolansky

发明人： Jacob Rubinstein ,  Gershon Moshe Wolansky

IPC分类号： G02C702

CPC分类号： G02C7/061 ,  G02C7/028 ,  G02C2202/22

摘要： In some embodiments of the present invention, a method for designing one or more surfaces of an ophthalmic lens includes representing the surfaces with parameters, choosing a function in the parameters and optimizing the function. The function may include one or more of the following terms: a term involving the magnification induced by the ophthalmic lens and a predetermined magnification distribution, a term involving the distortion induced by the ophthalmic lens and a predetermined distortion distribution, and a term involving the torsion induced by the ophthalmic lens and a predetermined torsion distribution. The function may also involve a term related to the thickness of the ophthalmic lens. The function may also involve one or more weight distributions. The method may include determining the weight distributions from a database of weight functions using a predetermined rule or an expert system.

摘要翻译： 在本发明的一些实施例中，用于设计眼科镜片的一个或多个表面的方法包括用参数表示表面，选择参数中的功能并优化功能。 该功能可以包括以下术语中的一个或多个：涉及由眼科镜头引起的放大倍率和预定放大率分布的术语，涉及由眼科镜头引起的畸变和预定的失真分布的术语，以及涉及扭转的术语 由眼科镜片引起并具有预定的扭转分布。 该功能还可以涉及与眼科镜片的厚度有关的术语。 该函数还可以包括一个或多个权重分布。 该方法可以包括使用预定规则或专家系统从权重函数的数据库确定权重分布。

公开(公告)号：US06755524B2

公开(公告)日：2004-06-29

申请号：US10012331

申请日：2001-12-12

申请人： Jacob Rubinstein ,  Gershon Moshe Wolansky

发明人： Jacob Rubinstein ,  Gershon Moshe Wolansky

IPC分类号： G02C702

CPC分类号： G02C7/02 ,  G02C7/027 ,  G02C7/028 ,  G02C7/061

摘要： In some embodiments of the present invention, a method for designing one or more surfaces of an ophthalmic optical element for an eye suffering at least from higher order aberrations includes computing an eye model and optimizing a merit function. The eye model may be computed from data on defocus of the eye, astigmatism of the eye and the higher order aberrations. The merit function may be defined in terms of the eye model and in terms of parameters of a representation of the surfaces. The optimization of the merit function yields a set of optimized parameters which can be used to obtain a description of the surfaces. The ophthalmic optical element may be a lens for spectacles, a contact lens, an intraocular lens or a multifocal lens for spectacles. The method may also be used to design the topography of corneal tissue.

摘要翻译： 在本发明的一些实施例中，用于设计至少具有较高阶像差的用于眼睛的眼科光学元件的一个或多个表面的方法包括计算眼睛模型并优化优值函数。 眼睛模型可以从眼睛散焦，眼睛散光和高阶像差的数据计算。 优点函数可以根据眼睛模型和表面的表示的参数来定义。 优化函数的优化产生一组优化参数，可用于获得表面的描述。 眼科光学元件可以是用于眼镜的透镜，隐形眼镜，眼内透镜或用于眼镜的多焦点透镜。 该方法也可用于设计角膜组织的形貌。

公开(公告)号：US20080043339A1

公开(公告)日：2008-02-21

申请号：US11504705

申请日：2006-08-16

申请人： Jacob Rubinstein ,  Gershon Wolansky

发明人： Jacob Rubinstein ,  Gershon Wolansky

IPC分类号： G02B3/00

CPC分类号： G02B27/0012 ,  G02B27/09

摘要： A method of designing a transmissive optical element for converting a profile of a light beam from a predetermined input profile to a predetermined output profile is disclosed. The method comprises: calculating a stationary function of a predetermined cost functional selected such that the stationary function satisfies a mapping condition for mapping the predetermined input profile into the predetermined output profile, thereby providing a mapping function. The method further comprises utilizing the mapping function for calculating surface properties of at least a first surface and a second surface of the transmissive optical element.

摘要翻译： 公开了一种设计用于将光束从预定输入轮廓转换成预定输出轮廓的透射光学元件的方法。 该方法包括：计算所选择的预定成本功能的固定功能，使得所述固定功能满足用于将所述预定输入简档映射到所述预定输出配置文件中的映射条件，由此提供映射功能。 该方法还包括利用映射函数来计算透射光学元件的至少第一表面和第二表面的表面特性。

公开(公告)号：US07150527B2

公开(公告)日：2006-12-19

申请号：US10919326

申请日：2004-08-17

申请人： Eyal Meron ,  Jacob Rubinstein

发明人： Eyal Meron ,  Jacob Rubinstein

IPC分类号： G02C7/06

CPC分类号： G02C7/068 ,  G02C7/028 ,  G02C7/061

摘要： An optical lab is provided with a set of different progressive power semi-finished spectacle lens blanks for different combinations of base curve, add power, cylinder and axis, where each semi-finished lens blank in the set has an unfinished surface and a progressive surface with a particular base curve and a particular add power. The progressive surface has been designed to provide optimal optical performance of a lens one surface of which is the progressive surface and another surface of which is a toric surface of a particular non-zero cylinder and a particular axis. Given a prescription of an astigmatic presbyope, the optical lab will select from the set the appropriate semi-finished lens blank and will surface the unfinished surface with the appropriate toric surface so that the progressive power spectacle lens matches the prescription.

公开(公告)号：US07573643B2

公开(公告)日：2009-08-11

申请号：US11504705

申请日：2006-08-16

申请人： Jacob Rubinstein ,  Gershon Wolansky

发明人： Jacob Rubinstein ,  Gershon Wolansky

IPC分类号： G02B3/00

CPC分类号： G02B27/0012 ,  G02B27/09

摘要： A method of designing a transmissive optical element for converting a profile of a light beam from a predetermined input profile to a predetermined output profile is disclosed. The method comprises: calculating a stationary function of a predetermined cost functional selected such that the stationary function satisfies a mapping condition for mapping the predetermined input profile into the predetermined output profile, thereby providing a mapping function. The method further comprises utilizing the mapping function for calculating surface properties of at least a first surface and a second surface of the transmissive optical element.

摘要翻译： 公开了一种设计用于将光束从预定输入轮廓转换成预定输出轮廓的透射光学元件的方法。 该方法包括：计算所选择的预定成本功能的固定功能，使得所述固定功能满足用于将所述预定输入简档映射到所述预定输出配置文件中的映射条件，由此提供映射功能。 该方法还包括利用映射函数来计算透射光学元件的至少第一表面和第二表面的表面特性。

公开(公告)号：US20080094634A1

公开(公告)日：2008-04-24

申请号：US11575351

申请日：2005-09-29

申请人： Jacob Rubinstein ,  Gershon Wolansky

发明人： Jacob Rubinstein ,  Gershon Wolansky

IPC分类号： G01B9/00

CPC分类号： G01J9/00 ,  A61B3/1015 ,  A61B3/103

摘要： The present invention relates to the field of optics, and, in particular to a system and method for determining the phase of a wave. The system and method of the present invention calculates the phase of any type of wave based on the intensity of the wave. In particular, the system and method provides a means for finding the ray mapping between two surfaces in space from information on the wave's intensity measured at those two surfaces.

摘要翻译： 本发明涉及光学领域，特别涉及用于确定波相位的系统和方法。 本发明的系统和方法基于波的强度来计算任何类型的波的相位。 特别地，该系统和方法提供了一种用于从在这两个表面测量的波浪强度的信息中找到空间中的两个表面之间的射线映射的手段。

公开(公告)号：US20060050235A1

公开(公告)日：2006-03-09

申请号：US10919326

申请日：2004-08-17

申请人： Eyal Meron ,  Jacob Rubinstein

发明人： Eyal Meron ,  Jacob Rubinstein

IPC分类号： G02C7/06

CPC分类号： G02C7/068 ,  G02C7/028 ,  G02C7/061

摘要： An optical lab is provided with a set of different progressive power semi-finished spectacle lens blanks for different combinations of base curve, add power, cylinder and axis, where each semi-finished lens blank in the set has an unfinished surface and a progressive surface with a particular base curve and a particular add power. The progressive surface has been designed to provide optimal optical performance of a lens one surface of which is the progressive surface and another surface of which is a toric surface of a particular non-zero cylinder and a particular axis. Given a prescription of an astigmatic presbyope, the optical lab will select from the set the appropriate semi-finished lens blank and will surface the unfinished surface with the appropriate toric surface so that the progressive power spectacle lens matches the prescription.

摘要翻译： 光学实验室设有一组不同的渐进功率半成品眼镜镜片坯料，用于基线曲线，增加功率，圆柱体和轴线的不同组合，其中组中的每个半成品镜片坯料具有未完成的表面和渐进表面 具有特定的基础曲线和特定的附加功率。 渐进表面被设计成提供透镜的最佳光学性能，其一个表面是渐进表面，另一个表面是特定非零圆柱体和特定轴线的复曲面。 给予散光老花眼的处方，光学实验室将从组中选择适当的半成品镜片毛坯，并用适当的复曲面来表面未完成的表面，使得渐进式力量眼镜镜片与处方相匹配。

公开(公告)号：US06661523B1

公开(公告)日：2003-12-09

申请号：US09332585

申请日：1999-06-14

申请人： Jacob Rubinstein ,  Gershon Moshe Wolansky

发明人： Jacob Rubinstein ,  Gershon Moshe Wolansky

IPC分类号： G01B1124

CPC分类号： G01B11/255

摘要： A method for determining or designing the topography of at least one unknown surface of an optical element includes the steps of measuring or prescribing geometrical properties, determining a set of integration equations from the geometrical properties, and determining the topography of the at least one unknown surface from the set of equations. The set of integration equations is determined also from the optical index or indexes of the optical element. The geometrical properties measured or prescribed are the geometric properties of a plurality of rays incident upon the optical element and of a corresponding plurality of rays affected by at least the at least one unknown surface.

摘要翻译： 用于确定或设计光学元件的至少一个未知表面的形貌的方法包括以下步骤：测量或规定几何特性，根据几何特性确定一组积分方程，以及确定至少一个未知表面的形貌 从一组方程式。 积分方程组也由光学元件的光学折射率或折射率确定。 测量或规定的几何特性是入射到光学元件上的多个光线的几何特性以及受至少一个未知表面影响的相应多个光线的几何特性。

公开(公告)号：US06655803B1

公开(公告)日：2003-12-02

申请号：US09584715

申请日：2000-06-01

申请人： Jacob Rubinstein ,  Gershon Moshe Wolansky

发明人： Jacob Rubinstein ,  Gershon Moshe Wolansky

IPC分类号： G02C702

CPC分类号： G02C7/061 ,  G02C7/028 ,  G02C2202/22

摘要： A method for designing a surface of an optical element includes the steps of prescribing initial wavefronts, selecting an initial parameterized representation of the surface, choosing a cost function in the parameters, and optimizing the cost function with respect to the parameters. The step of optimizing includes the steps of calculating a refracted wavefront for each of the initial wavefronts and analytically computing derivatives of the cost function. The method may also include the steps of precomputing eikonal functions between points in the vicinity of the initial wavefronts. Then the refracted wavefronts are calculated from the precomputed eikonal functions. A method for designing at least one surface of a multifocal optical element includes the step of concurrently considering in a design of the at least one surface any combination of an astigmatism distribution, a progressive power distribution and a prism distribution. When designing at least one surface of an optical element, a representation for each particular surface is created with a set of discrete points. Then for each discrete point in the set, nearest neighbor points from the set are selected, the particular surface is approximated in a vicinity of the discrete point by a polynomial of a predetermined order in two variables of the particular surface, and the coefficients of the polynomial are determined according to the selected nearest neighbor points without requiring continuity between polynomials for neighboring discrete points.

摘要翻译： 设计光学元件的表面的方法包括以下步骤：规定初始波前，选择表面的初始参数化表示，选择参数中的成本函数，以及优化参数的成本函数。 优化步骤包括计算每个初始波前的折射波阵面和成本函数的分析计算导数的步骤。 该方法还可以包括在初始波前附近的点之间预先计算eikonal函数的步骤。 然后从预先计算的eikonal函数计算折射波前。 一种用于设计多焦点光学元件的至少一个表面的方法包括以下步骤：在所述至少一个表面的设计中同时考虑散光分布，渐进光焦度分布和棱镜分布的任何组合。 当设计光学元件的至少一个表面时，用一组离散点创建每个特定表面的表示。 然后，对于集合中的每个离散点，选择来自集合的最近邻点，特定表面在离散点的附近通过特定表面的两个变量中的预定顺序的多项式近似，并且 根据所选择的最近邻点确定多项式，而不需要相邻离散点的多项式之间的连续性。