TY - JOUR
T1 - Reflectionless sponge layers as absorbing boundary conditions for the numerical solution of Maxwell equations in rectangular, cylindrical, and spherical coordinates
AU - Petropoulos, Peter G.
PY - 2000
Y1 - 2000
N2 - 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.
AB - 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.
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U2 - 10.1137/S0036139998334688
DO - 10.1137/S0036139998334688
M3 - Article
AN - SCOPUS:0033688246
SN - 0036-1399
VL - 60
SP - 1037
EP - 1058
JO - SIAM Journal on Applied Mathematics
JF - SIAM Journal on Applied Mathematics
IS - 3
ER -