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首页> 外文期刊>Engineering analysis with boundary elements >The extended method of approximate particular solutions to simulate two-dimensional electromagnetic scattering from arbitrary shaped anisotropic objects
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The extended method of approximate particular solutions to simulate two-dimensional electromagnetic scattering from arbitrary shaped anisotropic objects

机译：近似特定解的扩展方法，用于模拟任意形状的各向异性物体的二维电磁散射

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摘要

The numerical simulation of electromagnetic scattering problem by cylinders of arbitrary cross-section made of homogeneous and anisotropic material is carried out. The anisotropic materials are characterized by symmetric and positive definite magnetic permeability tensors. An efficient and powerful meshfree strong form technique based on the particular solutions of anisotropic radial basis functions (A-RBFs) is extended to deal with anisotropic problem directly. The A-RBFs are constructed by introducing a special norm associated to the appearing anisotropic tensor and replacing it with the standard Euclidean norm in RBFs. The particular solutions for the anisotropic Laplace operator are approximated explicitly by using the anisotropic radial basis functions. Because of material discontinuity at the interface of anisotropic and free regions, two different sets of basis functions, the approximate particular solutions of the anisotropic generalized multiquadric (A-GMQ) and the standard generalized multiquadric (GMQ) functions are employed to approximate the total electric field inside and the scattered field outside the anisotropic scatterer respectively. Some numerical simulations are implemented to confirm the accuracy and efficiency of the method for anisotropic scatterer with arbitrary cross-sections.
机译：对均质各向异性材料制成的任意截面圆柱体的电磁散射问题进行了数值模拟。各向异性材料的特征是对称和正定磁导率张量。扩展了一种基于各向异性径向基函数（A-RBFs）特定解的高效强大的无网格强形式技术，以直接解决各向异性问题。通过引入与出现的各向异性张量相关的特殊规范并用RBF中的标准欧几里得规范代替它来构造A-RBF。各向异性拉普拉斯算子的特定解通过使用各向异性径向基函数来明确近似。由于在各向异性和自由区的界面处材料不连续，因此使用了两组不同的基函数，各向异性广义多二次方（A-GMQ）和标准广义多二次方（GMQ）函数的近似特定解来近似总电。各向异性散射体内部的散射场和外部散射体的散射场。进行了一些数值模拟，以确认该方法对任意截面的各向异性散射体的准确性和有效性。

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