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An Efficient ACA Solution for Electromagnetic Scattering from Discrete Body of Revolution

机译：从离散旋转体电磁散射的有效ACA解决方案

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摘要

Discrete body of revolution (DBoR) enhanced method of moments (MoM) is a specialized technique to analyze electromagnetic scattering from the object with discrete cylindrical periodicity. By exploiting the block circulant property of the impedance matrix of MoM, both filling time and storage requirement for the matrix are reduced. The matrix-vector product can be further accelerated by using the fast Fourier transform (FFT) technique. However, the matrix filling time and memory requirement of DBoR-FFT are the same as those of DBoR-MoM, which are still expensive when the number of unknowns in each sector becomes larger. Meanwhile, the DBoR-FFT scheme works inefficiently for the small number of periodic sectors. In this paper, the adaptive cross approximation (ACA) technique is employed to enhance the DBoR-MoM. Numerical examples are given to demonstrate the efficiency of the proposed method.
机译：离散旋转体（DBoR）增强矩量法（MoM）是一种专门技术，用于分析具有离散圆柱周期的物体的电磁散射。通过利用MoM阻抗矩阵的块循环特性，可以减少矩阵的填充时间和存储需求。通过使用快速傅里叶变换（FFT）技术，可以进一步加速矩阵向量乘积。但是，DBoR-FFT的矩阵填充时间和存储要求与DBoR-MoM相同，当每个扇区中的未知数变大时，它们仍然很昂贵。同时，DBoR-FFT方案对于少量的周期性扇区无效地工作。本文采用自适应交叉逼近（ACA）技术来增强DBoR-MoM。数值算例表明了该方法的有效性。

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