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1. 发明授权

US06742903B2 Arrangement of corner reflectors for a nearly omnidirectional return 失效
标题翻译：角度反射器的布置为几乎全方位的返回
公开(公告)号：US06742903B2
公开(公告)日：2004-06-01
申请号：US10013217
申请日：2001-12-12
申请人： Francis X. Canning
发明人： Francis X. Canning
IPC分类号： G02B5122
CPC分类号： G02B5/12
摘要： An array of corner reflectors is used to provide a retro-reflector for a large range of incident angles. A novel orientation of the individual corner reflectors is used. This allows the interior of a first corner to remain visible while the interior of a second corner becomes visible. This may be done while maintaining a phase coherence between the contributions of the first and second corner reflectors. Phase coherence ensures constructive interference among the returns from the first and second corner reflectors. Coherence is achieved by an arrangement which places the interior vertices of the corner reflectors close to each other. One such arrangement also places the peak return from one corner reflector acting as a dihedral between the locations of the dihedral and trihedral returns of a second corner reflector. This arrangement results in a substantially uniform and strong retro-return. Phase coherence may be maintained over a desired range of elevation angles.
摘要翻译：角反射器阵列用于为大范围的入射角度提供回射反射器。使用单个角反射器的新颖取向。这允许第一角的内部保持可见，而第二角的内部变得可见。这可以在维持第一和第二角反射器的贡献之间的相位一致性的同时进行。相位一致性确保来自第一和第二角反射器的回报之间的建设性干扰。通过将角反射器的内部顶点彼此靠近的布置来实现相干性。一种这样的布置还使来自一个角反射器的峰值返回在第二角反射器的二面和三面体返回的位置之间充当二面体。这种安排导致基本均匀和强大的回溯。可以在期望的仰角范围内保持相位相干性。

2. 发明授权

US07742900B1 Compression and compressed inversion of interaction data 有权
标题翻译：交互数据的压缩和压缩反演
公开(公告)号：US07742900B1
公开(公告)日：2010-06-22
申请号：US09676727
申请日：2000-09-29
申请人： Francis X. Canning
发明人： Francis X. Canning
IPC分类号： G06F17/10
CPC分类号： H03M7/30
摘要： A compression technique compresses interaction data. A fast method processes the compressed data without the need to first decompress the data. In one embodiment, the compression technique is used to compress data in an interaction matrix. The interaction matrix (such as a moment method impedance matrix) contains interaction data between sources (e.g., basis functions or expansion functions) and testers (e.g., testing functions). The sources are collected into groups of sources according to specified criteria. One useful criteria is based on grouping sources relatively close to one another. For each group of sources, a composite source is calculated. The testers are also collected into groups and composite testers are calculated. The use of composite sources and composite testers to compute couplings when the source and tester are not close to each other allows the interaction matrix to be computed as a sparse matrix with a block format.
摘要翻译：压缩技术压缩交互数据。一种快速的方法处理压缩数据，而不需要首先解压缩数据。在一个实施例中，压缩技术用于压缩交互矩阵中的数据。交互矩阵（例如矩法阻抗矩阵）包含源（例如，基函数或扩展函数）和测试器（例如测试功能）之间的交互数据。根据指定的标准将来源收集在一组资源中。一个有用的标准是基于彼此相对靠近的分组源。对于每组源，计算一个复合源。测试人员也被收集成组，计算复合测试人员。当源和测试仪彼此不靠近时，使用复合源和复合测试仪来计算耦合允许将交互矩阵计算为具有块格式的稀疏矩阵。

3. 发明授权

US08260599B1 Method of assembling overlapping functions with optimized properties and use in design/construction/simulation of structures 有权
标题翻译：组合具有优化性能的重叠功能的方法，并在结构的设计/构造/仿真中使用
公开(公告)号：US08260599B1
公开(公告)日：2012-09-04
申请号：US12408707
申请日：2009-03-22
申请人： Francis X. Canning
发明人： Francis X. Canning
IPC分类号： G06F17/50 , G06G7/62
CPC分类号： G06F17/5009 , G06F17/14 , G06F2217/16
摘要： A method for constructing relatively independent overlapping functions that optimize a desired property is disclosed. This method allows the production of groups of functions, each group on a region. These regions may overlap. This allows the production of sources that have optimized properties, especially when those properties are enhanced by smoothness and/or by a larger size. A possible optimization method is also disclosed. These sources have many uses in numerical simulations of physical devices, such as valves, pipes, antennas, electronic circuits, and vehicles (air borne, land, and water). These simulations are useful in the design and construction of such devices. They are also useful in the testing of device properties, as they may provide an adjunct to testing physical mock ups of proposed designs.
摘要翻译：公开了一种用于构建优化所需属性的相对独立的重叠函数的方法。这种方法允许生成一组功能，每个组在一个区域。这些区域可能重叠。这允许生产具有优化性能的源，特别是当这些性质通过平滑度和/或更大尺寸增强时。还公开了可能的优化方法。这些来源在诸如阀门，管道，天线，电子线路和车辆（空中，陆地和水）的物理设备的数值模拟中具有许多用途。这些模拟在这样的设备的设计和构造中是有用的。它们也可用于测试设备属性，因为它们可能提供测试所提出的设计的物理模拟的附件。

4. 发明授权

US07945430B2 Compression and compressed inversion of interaction data 有权
标题翻译：交互数据的压缩和压缩反演
公开(公告)号：US07945430B2
公开(公告)日：2011-05-17
申请号：US11924526
申请日：2007-10-25
申请人： Francis X. Canning
发明人： Francis X. Canning
IPC分类号： G06F17/10
CPC分类号： G06F17/5009 , G06F2217/16 , H03M7/30
摘要： A compression technique compresses interaction data. A fast method processes the compressed data without the need to first decompress the data. In one embodiment, the compression technique is used to compress data in an interaction matrix. The interaction matrix (such as a moment method impedance matrix) contains interaction data between sources (e.g., basis functions or expansion functions) and testers (e.g., testing functions). The sources are collected into groups of sources according to specified criteria. One useful criteria is based on grouping sources relatively close to one another. For each group of sources, a composite source is calculated. The testers are also collected into groups and composite testers are calculated. The use of composite sources and composite testers to compute couplings when the source and tester are not close to each other allows the interaction matrix to be computed as a sparse matrix with a block format.
摘要翻译：压缩技术压缩交互数据。一种快速的方法处理压缩数据，而不需要首先解压缩数据。在一个实施例中，压缩技术用于压缩交互矩阵中的数据。交互矩阵（例如矩法阻抗矩阵）包含源（例如，基函数或扩展函数）和测试器（例如测试功能）之间的交互数据。根据指定的标准将来源收集在一组资源中。一个有用的标准是基于彼此相对靠近的分组源。对于每组源，计算一个复合源。测试人员也被收集成组，计算复合测试人员。当源和测试仪彼此不靠近时，使用复合源和复合测试仪来计算耦合允许将交互矩阵计算为具有块格式的稀疏矩阵。

5. 发明授权

US07734448B2 Sparse and efficient block factorization for interaction data 有权
标题翻译：交互数据的稀疏和有效的块分解
公开(公告)号：US07734448B2
公开(公告)日：2010-06-08
申请号：US10619796
申请日：2003-07-15
申请人： Francis X. Canning
发明人： Francis X. Canning
IPC分类号： G06F17/10
CPC分类号： H03M7/30
摘要： A compression technique compresses interaction data. The interaction data can include a matrix of interaction data used in solving an integral equation. For example, such a matrix of interaction data occurs in the moment method for solving problems in electromagnetics. The interaction data describes the interaction between a source and a tester. In one embodiment, a fast method provides a direct solution to a matrix equation using the compressed matrix. A factored form of this matrix, similar to the LU factorization, is found by operating on blocks or sub-matrices of this compressed matrix. These operations can be performed by existing machine-specific routines, such as optimized BLAS routines, allowing a computer to execute a reduced number of operations at a high speed per operation. This provides a greatly increased throughput, with reduced memory requirements.
摘要翻译：压缩技术压缩交互数据。交互数据可以包括用于求解积分方程的交互数据矩阵。例如，这种交互数据矩阵发生在用于解决电磁学问题的瞬时方法中。交互数据描述了源和测试者之间的交互。在一个实施例中，快速方法使用压缩矩阵提供对矩阵方程的直接解。通过对该压缩矩阵的块或子矩阵进行操作来找到类似于LU分解的该矩阵的因式形式。这些操作可以由现有的特定于机器的程序执行，例如优化的BLAS例程，允许计算机以每次操作高速执行减少的操作次数。这提供了大大增加的吞吐量，减少了内存要求。

6. 发明授权

US07720651B2 Compression of interaction data using directional sources and/or testers 有权
标题翻译：使用定向源和/或测试者压缩交互数据
公开(公告)号：US07720651B2
公开(公告)日：2010-05-18
申请号：US10354241
申请日：2003-01-29
申请人： Francis X. Canning
发明人： Francis X. Canning
IPC分类号： G06F17/10
CPC分类号： H03M7/30
摘要： A compression technique compresses interaction data. The interaction data can include a matrix of interaction data used in solving an integral equation. For example, such a matrix of interaction data occurs in the moment method for solving problems in electromagnetics. The interaction data describes the interaction between a source and a tester. In one embodiment, directional sources and/or directional testers are described. The directional sources produce a very weak (or negligible) effect except in selected directional regions. The directional testers are relatively insensitive to an incoming effect except in selected directional regions. Depending on their locations and directional properties, relatively many of the directional sources and directional testers interact weakly (or negligibly). The weak interactions can be effectively removed from the interaction matrix, thereby reducing the effective size of the interaction matrix.
摘要翻译：压缩技术压缩交互数据。交互数据可以包括用于求解积分方程的交互数据矩阵。例如，这种交互数据矩阵发生在用于解决电磁学问题的瞬时方法中。交互数据描述了源和测试者之间的交互。在一个实施例中，描述了定向源和/或定向测试器。定向源产生非常弱（或可忽略）的效果，除了在选择的方向区域。定向测试仪对于输入效应相对不敏感，除了在选定的定向区域中。取决于它们的位置和方向性质，相对较多的定向源和定向测试器相互作用较弱（或可忽略）。可以从相互作用矩阵中有效地去除弱相互作用，从而减小相互作用矩阵的有效大小。

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