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首页> 外文期刊>Geoscience and Remote Sensing Letters, IEEE >FFT-Accelerated Analysis of Scattering From Complex Dielectrics Embedded in Uniaxial Layered Media
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FFT-Accelerated Analysis of Scattering From Complex Dielectrics Embedded in Uniaxial Layered Media

机译：嵌入单轴分层介质中的复杂介电体散射的FFT加速分析

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摘要

An efficient integral-equation method is presented for the analysis of electromagnetic scattering from arbitrarily shaped 3-D dielectric objects embedded in a single layer of a uniaxial planar-layered medium. The proposed method employs a mixed-potential volume electric-field integral equation (VEFIE) that permits the object of interest to be dispersive, anisotropic, inhomogeneous, and of arbitrary shape. The VEFIE is solved by an iterative frequency-domain method-of-moments procedure. The object is discretized by tetrahedral elements, and the procedure is accelerated by the adaptive integral method, which reduces the computational costs by enclosing the tetrahedral mesh with an auxiliary regular grid and performing anterpolation (mesh to grid), propagation (grid to grid), interpolation (grid to mesh), and near-zone correction (mesh to mesh) steps. The computationally dominant propagation step of the method is accelerated by decomposing the Green's functions into convolution and correlation terms in the stratification direction and using 3-D fast Fourier transforms to multiply the resulting propagation matrices with the necessary vectors. If the object of interest is meshed using $N$ tetrahedra that are of a single length scale, then the setup time, memory requirement, and the iterative matrix-solution time (per iteration) of the proposed method scale as $O(N)$, $O(N)$, and $O(Nlog N)$, respectively. Numerical results validate the method's accuracy and efficiency for various problems relevant to geophysical exploration.
机译：提出了一种有效的积分方程方法，用于分析嵌入单轴平面层介质单层中的任意形状的3-D电介质的电磁散射。所提出的方法使用了混合电位体积电场积分方程（VEFIE），该方程允许感兴趣的对象是分散的，各向异性的，不均匀的和任意形状的。通过迭代的频域矩量法程序来解决VEFIE。通过四面体元素离散化对象，并通过自适应积分方法加速该过程，该过程通过用辅助规则网格封闭四面体网格并进行插值（网格到网格），传播（网格到网格）来降低计算成本。插值（网格到网格）和近区校正（网格到网格）步骤。通过将格林函数在分层方向上分解为卷积和相关项，并使用3-D快速傅立叶变换，将生成的传播矩阵与必要的向量相乘，可以加快方法的计算优势传播步骤。如果使用单个长度尺度的$ N $四面体对目标对象进行网格划分，则建议的方法尺度的建立时间，内存需求和迭代矩阵求解时间（每次迭代）为$ O（N） $，$ O（N）$和$ O（Nlog N）$。数值结果验证了该方法对于与地球物理勘探有关的各种问题的准确性和效率。

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