Hybrid Tdie-Tdpo Method Using Weighted Laguerre Polynomials for Solving Transient Electromagnetic Problems

Abstract

Abstract-An efficient and stable hybrid method, based on the time-domain integral equation (TDIE) and time-domain physical optics (TDPO), is developed for investigating transient radiation and scattering from perfectly electrical conducting (PEC) objects. It at first requires partitioning the PEC object surface into TDIE and TDPO regions, respectively. Then, a set of hybrid TDIE-TDPO equations is derived and solved using an adaptive marching-on-indegree (MOD) method. The fast Fourier transforms (FFT)-based blocking scheme is further implemented into the proposed algorithm so as to reduce N 2 O dependence of the traditional MOD method to N O log 2 (N O ), where N O is the highest order of the weighted Laguerre polynomials used for computation. Under such circumstances, its computational cost, in comparison with the full TDIE-MOD solver, is reduced significantly. Several numerical examples are presented to demonstrate its accuracy and efficiency in solving some typical transient electromagnetic problems.

Analysis of Transient Electromagnetic Scattering Using Time Domain Fast Dipole Method

“…Time-domain integral-equation (TDIE) [1][2][3][4][5][6] methods have enjoyed widespread engineering applications, especially the analysis of broadband electromagnetic scattering. When analyzing the scattering from perfect electric conductor (PEC), the TDIE methods require a discretization of the scatterer surface and do not call for absorbing boundary conditions in the finite difference time domain [7,8].…”

Analysis of Transient Electromagnetic Scattering Using the Multilevel Time Domain Fast Dipole Method

“…Marching-on-in-time (MOT) schemes for solving time-domain integralequation (TDIE) [1][2][3][4][5][6] methods have been widely used to analyze electromagnetic scattering from perfectly electric conducting (PEC) objects. Compared with FDTD [7,8], it only requires a discretization of the scatterer surface.…”