基于MT-SIE法求解电大介质目标电磁散射

Electromagnetic scattering from homogeneous dielectric objects with Multiple-Traces SIE method

介绍了一种用于均匀介质目标电磁散射求解的新型多区域表面积分方程(MT-SIE)方法。不同于传统的用于介质目标散射求解的积分方法,该方法将均匀介质目标分解为内、外2个独立的子区,通过在介质表面强加Robin传输条件来保证电流和磁流的连续性。由于介质目标被分解为内外2个独立的子区,不同的子区允许非共形剖分。相较于传统方法,该方法可以更高效地与多层快速多级子(MLFMA)相结合求解电大尺寸目标。为进一步加速矩阵的迭代求解,提出了一种高斯-赛德尔型预条件技术,可以有效改善矩阵的收敛,加快迭代求解速度。

A novel Multiple-Traces Surface Integral Equation(MT-SIE) method is proposed for solving Electromagnetic(EM) scattering from homogeneous dielectric objects. Different from traditional Poggio-Miller-Chang-Harrington-Wu-Tsai(PMCHWT) method, the non-conformal MT-SIE method can discretize the surface with two pairs of non-conformal meshes(exterior and interior). Me anwhile, the Transmission Conditions(TCs) are enforced to ensure the continuity of currents, on the interface of the exterior domain and interior domain. Compared with traditional PMCHWT method, this method can be combined with Multilevel Fast Multipole Algorithm(MLFMA) more easily for solving homogeneous dielectric objects. To accelerate the matrix solution speed, a Gauss-Seidel precondition technology is introduced, and it leads to a better convergence and significantly reduces the memory and time consumption.