半空间中多尺度导电结构的电磁散射分析

M. Meng, Yongpin P. Chen, W. Luo, Z. Nie, Jun Hu
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引用次数: 0

摘要

本文对半空间中三维、完美导电、多尺度结构的电磁散射进行了高效分析。采用半空间并矢格林函数作为电场积分方程的核,使得未知量只与散射体表面有关。采用了一种新开发的卡尔德隆预条件,显著改善了由于结构的多尺度性质而导致的矩阵的病态。进一步实现了核无关的多级自适应交叉逼近,提高了计算速度,降低了对内存的要求。数值算例验证了该方法在半空间多尺度结构分析中的有效性。
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Analysis of EM Scattering from multiscale conducting structures in a half space
Efficient analysis of electromagnetic scattering from three-dimensional, perfect electrically conducting, multiscale structures in a half space is conducted in this paper. The half-space dyadic Green's function is adopted as the kernel of the electric field integral equation so that the unknowns are only associated with the surface of the scatterers. A recently developed Calderon preconditioner is adopted to significantly improve the ill-conditioning of the matrix due to the multiscale nature of the structures. The kernel-independent multilevel adaptive cross approximation is further implemented to accelerate the computation and reduce the memory requirement. Numerical examples are presented to demonstrate the effectiveness of this method for analyzing multiscale structures situated in a half space.
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