Fast and Accurate Computation of Exact Nonreflecting Boundary Condition for Maxwell's Equations

2013/02/04 by Xiaodan Zhao, Zhao, Xiaodan, Li-Lian Wang +1
Engineering · Physics and Astronomy · #Electromagnetic Scattering and Analysis #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #FOS: Physical sciences #Lightning and Electromagnetic Phenomena #Mathematical Physics (math-ph) #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.1302.0595

openalex publication_date 2013/02/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We report in this paper a fast and accurate algorithm for computing the exact spherical nonreflecting boundary condition (NRBC) for time-dependent Maxwell's equations. It is essentially based on a new formulation of the NRBC, which allows for the use of an analytic method for computing the involved inverse Laplace transform. This tool can be generically integrated with the interior solvers for challenging simulations of electromagnetic scattering problems. We provide some numerical examples to show that the algorithm leads to very accurate results.

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