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

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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.

Original languageEnglish (US)
Pages (from-to)1671-1675
Number of pages5
JournalIEEE Transactions on Antennas and Propagation
Volume51
Issue number7
DOIs
StatePublished - 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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