随机分布介质的多层特征基函数分析

Multilevel characteristic basis function analysis of randomly distributed dielectrics

文章采用蒙特卡罗法模拟出随机分布的介质目标,并应用多层特征基函数法计算了其远区散射场。多层特征基函数法与特征基函数法相比,能更高效地计算电磁散射问题。基于Foldy-Lax多径散射方程,将目标以及划分的子域进一步剖分为若干小子域,进而进一步降低待求矩阵的维数。模拟数值计算结果与传统特征基函数法的计算结果吻合良好,计算效率明显提高。

The Monte Carlo method is used to simulate randomly distributed dielectric objects and the far field of dielectric objects is calculated by multilevel characteristic basis function method （MLCBFM）. ML-CBFM can solve electromagnetic scattering problems more efficiently compared with the characteristic basis function method. The object and sub-blocks which have already been divided will be further divided into more sub-blocks to reduce the size of the matrix based on the concept of Foldy- Lax multiple scattering equations. The numerical simulation results are in good agreement with those of traditional characteristic basis function, and the calculation efficiency is improved significantly.