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1. 发明公开

EP1295223A2 METHOD AND APPARATUS FOR MODELING THREE-DIMENSIONAL ELECTROMAGNETIC SCATTERING FROM ARBITRARILY SHAPED THREE-DIMENSIONAL OBJECTS 审中-公开
标题翻译：及器具的三维电磁散射的任意建模方法形的三维物体
公开(公告)号：EP1295223A2
公开(公告)日：2003-03-26
申请号：EP01946473.4
申请日：2001-06-15
申请人： HRL LABORATORIES, LLC , Ottusch, John Jacob , Wandzura, Stephen M. , Contopanagos, Harry F. , Visher, John L. , Rokhlin, Vladimir
发明人： OTTUSCH, John, Jacob , WANDZURA, Stephen, M. , CONTOPANAGOS, Harry, F. , VISHER, John , ROKHLIN, Vladimir
IPC分类号： G06F17/50
CPC分类号： G06F17/5095 , G01S7/41 , G06F17/5018 , G06F2217/16
摘要： A computer program product, an apparatus, and a method for modeling equivalent surface sources on a closed, arbitrarily shaped object that result from the imposition of an arbitrary time-harmonic incident field (e.g., a radar wave) are provided. An object divided into by a plurality of patches 302 and parameters for the incident field and the properties of the object 304 are provided to the system. Next, the system produces a discretized representation of a well-conditioned boundary integral equation in the form of a well-conditioned matrix equation, modeling the interaction between the incident field and the object 306. The well-conditioned linear system is solved numerically to determine equivalent surface sources on the object 308. The equivalent sources may then be used to determine electromagnetic fields resulting therefrom 310. The invention provides improved computational efficiency as well as increased modeling accuracy by effectively reducing the numerical precision necessary.

2. 发明申请

WO2004023352A3 DETERMINING FIELD-DEPENDENT CHARACTERISTICS BY EMPLOYING HIGH-ORDER QUADRATURES IN THE PRESENCE OF GEOMETRIC SINGULARITIES 审中-公开
标题翻译：在存在几何奇异性的情况下通过使用高阶求和确定场相关特性
公开(公告)号：WO2004023352A3
公开(公告)日：2004-08-05
申请号：PCT/US0328229
申请日：2003-09-08
申请人： MAD MAX OPTICS INC , CRUTCHFIELD WILLIAM Y , ETHRIDGE JOSEPH FRANKLIN , GIMBUTAS ZYDRUNAS , GREENGARD LESLIE F , ROKHLIN VLADIMIR
发明人： CRUTCHFIELD WILLIAM Y , ETHRIDGE JOSEPH FRANKLIN , GIMBUTAS ZYDRUNAS , GREENGARD LESLIE F , ROKHLIN VLADIMIR
IPC分类号： G06F17/13 , G06F17/50
CPC分类号： G06F17/13 , G06F17/5018
摘要： A machine for determining field-dependent physical characteristics contains tables of precomputed quadratures and employs them to integrate numerically over a problem boundary. The quadratures are based on products of a kernel function and a basis s that spans a wide range of density functions. The kernel function is dependent on a target node's position, and different quadratures are precomputed for different target-node positions or ranges thereof. In the case of at least some of the quadratures, some the basis functions include integrable singularities. The solver divides the problem boundary into a plurality of problem intervals, to which it maps the canonical interval. To integrate a problem interval for a target point, the solver employs a precomputed quadrature that is associated with the target point's relative position and that was generated by using a basis in which a singularity occurs at each canonical-interval location that was mapped to a geometrical singularity on the problem interval. The quadrature results in high-order accuracy even if no individual basis function includes a singularity whose shape is the same as one induced by the geometric singularity. These quadratures can be coupled with a Fast Multipole Method ("FMM") to evaluate layer potentials rapidly and with high accuracy.
摘要翻译：用于确定依赖于场的物理特性的机器包含预先计算的正方形表格，并使用它们在问题边界上进行数值积分。这些quadratures基于核函数的产品和跨越各种密度函数的基础。核函数依赖于目标节点的位置，并且针对不同的目标节点位置或其范围预先计算不同的正交矩阵。在至少一些quadratures的情况下，一些基函数包括可积奇点。求解器将问题边界划分为多个问题区间，并将其映射到规范区间。为了整合目标点的问题区间，求解器使用与目标点的相对位置相关的预先计算的正交并且是通过使用在每个正则间隔位置出现奇点的基础被映射到几何问题区间的奇点。即使没有单独的基函数包含奇点，其形状与由几何奇点引起的奇点相同，正交仍然导致高精度。这些quadratures可以结合快速多极方法（“FMM”）来快速和高精度地评估层电位。

3. 发明申请

WO1985000504A1 METHOD FOR MANUFACTURING LININGLESS FOOTWEAR AND FOOTWEAR PRODUCED THEREBY 审中-公开
标题翻译：制造无纺布鞋及其制作方法
公开(公告)号：WO1985000504A1
公开(公告)日：1985-02-14
申请号：PCT/SU1983000027
申请日：1983-07-29
申请人： TSENTRALNY NAUCHNO-ISSLEDOVATELSKY INSTITUT ... , ATKARSKY, Anatoly Alexandrovich , ASHRATOVA, Sofya Kemalevna , BYKHOVSKY, Evgeny Borisovich , ROKHLIN, Vladimir Petrovich , BALBEROVA, Nina Alexandrovna , ZHMOTOVA, Valentina Fedorovna , PETROVA, Lidia Gavrilovna , LEINOV, Yakov Naumovich , RYBAKOVA, Galina Dmitrievna , DOROFEEV, Mikhail Mikhailovich , ARUTJUNIAN, Boris Gevorgovich , ARUTJUNIAN, Grand Khachaturovich
发明人： TSENTRALNY NAUCHNO-ISSLEDOVATELSKY INSTITUT ...
IPC分类号： A43B01/02
CPC分类号： A43B3/02
摘要： The method for manufacturing a liningless footwear, having a closed seamless toe part and/or heel part, provides for producing its upper-parts from leather, characterized by the enlarged thickness of 2.5-4.5 mm and by the natural moisture of 40-60%, and, after marking the parts, cutting off the surplus thickness of the leather excepting its portion located on the toe part and/or on the part (4) of the heel. In the footwear produced by said method, the thickening of the toe part and/or the part (4) of the heel is formed by preserving the natural thickness of the leather.

4. 发明申请

WO2004023352A2 DETERMINING FIELD-DEPENDENT CHARACTERISTICS BY EMPLOYING HIGH-ORDER QUADRATURES IN THE PRESENCE OF GEOMETRIC SINGULARITIES 审中-公开
标题翻译：通过在几何形状存在下采用高阶准则来确定场依赖特性
公开(公告)号：WO2004023352A2
公开(公告)日：2004-03-18
申请号：PCT/US2003/028229
申请日：2003-09-08
申请人： MAD MAX OPTICS, INC. , CRUTCHFIELD, William, Y. , ETHRIDGE, Joseph, Franklin , GIMBUTAS, Zydrunas , GREENGARD, Leslie, F. , ROKHLIN, Vladimir
发明人： CRUTCHFIELD, William, Y. , ETHRIDGE, Joseph, Franklin , GIMBUTAS, Zydrunas , GREENGARD, Leslie, F. , ROKHLIN, Vladimir
IPC分类号： G06F17/50
CPC分类号： G06F17/13 , G06F17/5018
摘要： A machine for determining field-dependent physical characteristics contains tables of precomputed quadratures and employs them to integrate numerically over a problem boundary. The quadratures are based on products of a kernel function and a basis s that spans a wide range of density functions. The kernel function is dependent on a target node's position, and different quadratures are precomputed for different target-node positions or ranges thereof. In the case of at least some of the quadratures, some the basis functions include integrable singularities. The solver divides the problem boundary into a plurality of problem intervals, to which it maps the canonical interval. To integrate a problem interval for a target point, the solver employs a precomputed quadrature that is associated with the target point's relative position and that was generated by using a basis in which a singularity occurs at each canonical-interval location that was mapped to a geometrical singularity on the problem interval. The quadrature results in high-order accuracy even if no individual basis function includes a singularity whose shape is the same as one induced by the geometric singularity. These quadratures can be coupled with a Fast Multipole Method ("FMM") to evaluate layer potentials rapidly and with high accuracy.
摘要翻译：用于确定场相关物理特征的机器包含预计算正交表的表，并使用它们在问题边界上数字积分。正交基于核函数的产物和跨越各种密度函数的基础。内核函数取决于目标节点的位置，并且针对不同的目标节点位置或其范围预先计算不同的正交。在至少一些正交的情况下，一些基函数包括可积分奇点。求解器将问题边界划分成多个问题间隔，它映射规范间隔。为了整合目标点的问题间隔，求解器使用与目标点的相对位置相关联的预计算正交，并且通过使用在映射到几何的每个规范间隔位置处发生奇点的基础来生成关于问题间隔的奇点。即使没有单独的基函数包括其形状与由几何奇点引起的形状相同的奇异点，正交也导致高阶精度。这些正交可以与快速多极方法（“FMM”）耦合，以高精度地快速评估层电位。

5. 发明申请

WO0198953A3 METHOD AND APPARATUS FOR MODELING THREE-DIMENSIONAL ELECTROMAGNETIC SCATTERING FROM ARBITRARILY SHAPED THREE-DIMENSIONAL OBJECTS 审中-公开
标题翻译：用于建立三维形状三维物体三维电磁散射的方法和装置
公开(公告)号：WO0198953A3
公开(公告)日：2003-01-16
申请号：PCT/US0119430
申请日：2001-06-15
申请人： HRL LAB LLC , OTTUSCH JOHN JACOB , WANDZURA STEPHEN M , CONTOPANAGOS HARRY F , VISHER JOHN L , ROKHLIN VLADIMIR
发明人： OTTUSCH JOHN JACOB , WANDZURA STEPHEN M , CONTOPANAGOS HARRY F , VISHER JOHN L , ROKHLIN VLADIMIR
IPC分类号： G01R29/08 , G01S7/41 , G06F17/11 , G06F17/50
CPC分类号： G06F17/5095 , G01S7/41 , G06F17/5018 , G06F2217/16
摘要： A computer program product, an apparatus, and a method for modeling equivalent surface sources on a closed, arbitrarily shaped object that result from the imposition of an arbitrary time-harmonic incident field (e.g., a radar wave) are provided. An object divided into by a plurality of patches 302 and parameters for the incident field and the properties of the object 304 are provided to the system. Next, the system produces a discretized representation of a well-conditioned boundary integral equation in the form of a well-conditioned matrix equation, modeling the interaction between the incident field and the object 306. The well-conditioned linear system is solved numerically to determine equivalent surface sources on the object 308. The equivalent sources may then be used to determine electromagnetic fields resulting therefrom 310. The invention provides improved computational efficiency as well as increased modeling accuracy by effectively reducing the numerical precision necessary.
摘要翻译：提供了一种计算机程序产品，装置和方法，用于对由任意时间 - 谐波入射场（例如，雷达波）施加而导致的封闭的任意形状物体上的等效表面光源进行建模。将由多个补丁302划分的物体和用于入射场的参数和对象304的属性提供给系统。接下来，系统以良好条件矩阵方程的形式产生条件良好的边界积分方程的离散表示，对入射场和物体306之间的相互作用进行建模。对条件良好的线性系统进行数值求解以确定对象308上的等效表面源。然后可以使用等效的源来确定由此产生的电磁场310.本发明通过有效降低所需的数值精度来提供改进的计算效率以及增加的建模精度。

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