将时域有限差分法与多区域迭代技术相结合,求解三维多目标散射

F. Kaburcuk, V. Demir, A. Elsherbeni, E. Arvas
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摘要

本文将时域有限差分法(FDTD)与求解大规模电磁问题的迭代方法——迭代多区域法(IMR)相结合。大规模问题的求解一直是计算电磁学面临的主要挑战之一。解决这一问题的一种方法是将问题空间划分为更小的子区域,并将子区域的解决方案组合在一起,经过多次交互,得到大域的解决方案。使用频域解算器求解子区域一直是首选的方法,因为使用时域解算器求解子区域需要计算昂贵的时间信号簿记。在此贡献中,我们提出了一种算法,该算法使得在IMR技术中使用时域有限差分方法(时域数值技术)在许多预先指定的频率下实现解决方案成为可能。
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Integration of the FDTD method into the iterative multi-region technique for scattering from multiple three dimensional objects
The integration of the finite-difference time-domain method (FDTD) into the iterative multi-region (IMR) technique, an iterative approach used to solve large-scale electromagnetic problems, is presented in this paper. Solution of large scale problems has been one of the major challenges of computational electromagnetics. One approach to address this problem is to divide a problem space into smaller subregions and combine the solutions of subregions, after multiple interactions, to achieve the solution for the large domain. Solution of the subregions using frequency domain solvers has been the preferred approach as such solutions using time domain solvers require computationally expensive bookkeeping of time signals. In this contribution we present an algorithm that makes it feasible to use the FDTD method, a time domain numerical technique, in the IMR technique to achieve solutions at a number of pre-specified frequencies.
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