Reflectionless sponge layers as absorbing boundary conditions for the numerical solution of Maxwell equations in rectangular, cylindrical, and spherical coordinates

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Abstract

A scaling argument is used to derive reflectionless sponge layers to absorb outgoing time-harmonic waves in numerical solutions of the three-dimensional elliptic Maxwell equations in rectangular, cylindrical, and spherical coordinates. We also develop our reflectionless sponge layers to absorb outgoing transient waves in numerical solutions of the time-domain Maxwell equations and prove that these absorbing layers are described by causal, strongly well-posed hyperbolic systems. A representative result is given for wave scattering by a compact obstacle to demonstrate the many orders of magnitude improvement offered by our approach over standard techniques for computational domain truncation.

Original languageEnglish (US)
Pages (from-to)1037-1058
Number of pages22
JournalSIAM Journal on Applied Mathematics
Volume60
Issue number3
DOIs
StatePublished - Jan 1 2000

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

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