Reflectionless sponge layers for the numerical solution of Maxwell's equations in cylindrical and spherical coordinates

P. G. Petropoulos

doi:10.1016/S0168-9274(99)00120-8

Reflectionless sponge layers for the numerical solution of Maxwell's equations in cylindrical and spherical coordinates

P. G. Petropoulos

Mathematical Sciences

Research output: Contribution to journal › Conference article › peer-review

4 Scopus citations

Abstract

We review the scaling argument used to derive reflectionless wave absorbing layers for use as Absorbing Boundary Conditions (ABC) in numerical solutions of the elliptic and hyperbolic Maxwell equations in cylindrical and spherical coordinates, and show that thus obtained absorbing layers are described in the time-domain by causal, strongly well-posed hyperbolic systems. Representative results are given for scattering by cylinders. Also, we study the reflection of local ABC's in discrete space.

Original language	English (US)
Pages (from-to)	517-524
Number of pages	8
Journal	Applied Numerical Mathematics
Volume	33
Issue number	1
DOIs	https://doi.org/10.1016/S0168-9274(99)00120-8
State	Published - May 2000
Event	The 4th International Conference on Spectral and High Order Methods (ICOSAHOM 1998) - Herzliya, Isr Duration: Jun 22 1998 → Jun 26 1998

All Science Journal Classification (ASJC) codes

Numerical Analysis
Computational Mathematics
Applied Mathematics

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10.1016/S0168-9274(99)00120-8

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title = "Reflectionless sponge layers for the numerical solution of Maxwell's equations in cylindrical and spherical coordinates",

abstract = "We review the scaling argument used to derive reflectionless wave absorbing layers for use as Absorbing Boundary Conditions (ABC) in numerical solutions of the elliptic and hyperbolic Maxwell equations in cylindrical and spherical coordinates, and show that thus obtained absorbing layers are described in the time-domain by causal, strongly well-posed hyperbolic systems. Representative results are given for scattering by cylinders. Also, we study the reflection of local ABC's in discrete space.",

author = "Petropoulos, {P. G.}",

note = "Funding Information: 1 E-mail: [email protected] 2 Supported in part by AFOSR Grant F49620-99-1-0072.; The 4th International Conference on Spectral and High Order Methods (ICOSAHOM 1998) ; Conference date: 22-06-1998 Through 26-06-1998",

year = "2000",

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T1 - Reflectionless sponge layers for the numerical solution of Maxwell's equations in cylindrical and spherical coordinates

AU - Petropoulos, P. G.

N1 - Funding Information: 1 E-mail: [email protected] 2 Supported in part by AFOSR Grant F49620-99-1-0072.

PY - 2000/5

Y1 - 2000/5

N2 - We review the scaling argument used to derive reflectionless wave absorbing layers for use as Absorbing Boundary Conditions (ABC) in numerical solutions of the elliptic and hyperbolic Maxwell equations in cylindrical and spherical coordinates, and show that thus obtained absorbing layers are described in the time-domain by causal, strongly well-posed hyperbolic systems. Representative results are given for scattering by cylinders. Also, we study the reflection of local ABC's in discrete space.

AB - We review the scaling argument used to derive reflectionless wave absorbing layers for use as Absorbing Boundary Conditions (ABC) in numerical solutions of the elliptic and hyperbolic Maxwell equations in cylindrical and spherical coordinates, and show that thus obtained absorbing layers are described in the time-domain by causal, strongly well-posed hyperbolic systems. Representative results are given for scattering by cylinders. Also, we study the reflection of local ABC's in discrete space.

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U2 - 10.1016/S0168-9274(99)00120-8

DO - 10.1016/S0168-9274(99)00120-8

M3 - Conference article

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SN - 0168-9274

VL - 33

SP - 517

EP - 524

JO - Applied Numerical Mathematics

JF - Applied Numerical Mathematics

IS - 1

T2 - The 4th International Conference on Spectral and High Order Methods (ICOSAHOM 1998)

Y2 - 22 June 1998 through 26 June 1998

ER -

Reflectionless sponge layers for the numerical solution of Maxwell's equations in cylindrical and spherical coordinates

Abstract

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