An analytical study of the discrete perfectly matched layer for the time-domain Maxwell equations in cylindrical coordinates

Peter G. Petropoulos

doi:10.1109/TAP.2003.813626

An analytical study of the discrete perfectly matched layer for the time-domain Maxwell equations in cylindrical coordinates

Peter G. Petropoulos

Mathematical Sciences

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

7 Scopus citations

Abstract

We present an analysis of the perfectly matched layer in cylindrical coordinates discretized with a staggered second-order accurate finite difference time domain method. For fixed discretization parameters, layer width, and a quadratic loss function, we find the numerical reflection produced by the discrete layer is accurately predicted by the infinite resolution reflection coefficient for σ_max ∈ [0, σ_max^c],where σ_max is the maximum value of the absorption parameter in the layer. We also find that the finite resolution reflection coefficient achieves its minimum value at a σ_max^m > σ_max^c Numerical experiments validate the analysis.

Original language	English (US)
Pages (from-to)	1671-1675
Number of pages	5
Journal	IEEE Transactions on Antennas and Propagation
Volume	51
Issue number	7
DOIs	https://doi.org/10.1109/TAP.2003.813626
State	Published - Jul 2003

All Science Journal Classification (ASJC) codes

Electrical and Electronic Engineering

Keywords

Absorbing boundary conditions
Maxwell's equations
Perfectly matched layers

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10.1109/TAP.2003.813626

Cite this

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title = "An analytical study of the discrete perfectly matched layer for the time-domain Maxwell equations in cylindrical coordinates",

abstract = "We present an analysis of the perfectly matched layer in cylindrical coordinates discretized with a staggered second-order accurate finite difference time domain method. For fixed discretization parameters, layer width, and a quadratic loss function, we find the numerical reflection produced by the discrete layer is accurately predicted by the infinite resolution reflection coefficient for σmax ∈ [0, σmaxc],where σmax is the maximum value of the absorption parameter in the layer. We also find that the finite resolution reflection coefficient achieves its minimum value at a σmaxm > σmaxc Numerical experiments validate the analysis.",

keywords = "Absorbing boundary conditions, Maxwell's equations, Perfectly matched layers",

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

note = "Funding Information: Manuscript received October 23, 2001; revised May 20, 2002. This work was supported in part by Air Force Office of Scientific Research, Air Force Materials Command, USAF under AFOSR Grant F49620-02-1-0031. The author is with the Department of Mathematical Sciences, New Jersey Institute of Technology, Newark, NJ 07102 USA (e-mail: [email protected]). Digital Object Identifier 10.1109/TAP.2003.813626",

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T1 - An analytical study of the discrete perfectly matched layer for the time-domain Maxwell equations in cylindrical coordinates

AU - Petropoulos, Peter G.

N1 - Funding Information: Manuscript received October 23, 2001; revised May 20, 2002. This work was supported in part by Air Force Office of Scientific Research, Air Force Materials Command, USAF under AFOSR Grant F49620-02-1-0031. The author is with the Department of Mathematical Sciences, New Jersey Institute of Technology, Newark, NJ 07102 USA (e-mail: [email protected]). Digital Object Identifier 10.1109/TAP.2003.813626

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N2 - We present an analysis of the perfectly matched layer in cylindrical coordinates discretized with a staggered second-order accurate finite difference time domain method. For fixed discretization parameters, layer width, and a quadratic loss function, we find the numerical reflection produced by the discrete layer is accurately predicted by the infinite resolution reflection coefficient for σmax ∈ [0, σmaxc],where σmax is the maximum value of the absorption parameter in the layer. We also find that the finite resolution reflection coefficient achieves its minimum value at a σmaxm > σmaxc Numerical experiments validate the analysis.

AB - We present an analysis of the perfectly matched layer in cylindrical coordinates discretized with a staggered second-order accurate finite difference time domain method. For fixed discretization parameters, layer width, and a quadratic loss function, we find the numerical reflection produced by the discrete layer is accurately predicted by the infinite resolution reflection coefficient for σmax ∈ [0, σmaxc],where σmax is the maximum value of the absorption parameter in the layer. We also find that the finite resolution reflection coefficient achieves its minimum value at a σmaxm > σmaxc Numerical experiments validate the analysis.

KW - Absorbing boundary conditions

KW - Maxwell's equations

KW - Perfectly matched layers

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EP - 1675

JO - IEEE Transactions on Antennas and Propagation

JF - IEEE Transactions on Antennas and Propagation

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An analytical study of the discrete perfectly matched layer for the time-domain Maxwell equations in cylindrical coordinates

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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