A high-order accurate method for frequency domain maxwell equations with discontinuous coefficients

Eugene Kashdan*, Eli Turkel

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Maxwell equations contain a dielectric coefficient E that describes the particular media. For homogeneous materials the dielectric coefficient is constant. There is a jump in this coefficient across the interface between differing media. This discontinuity can significantly reduce the order of accuracy of the numerical scheme. We present an analysis and implementation of a fourth order accurate algorithm for the solution of Maxwell equations with an interface between two media and so the dielectric coefficient is discontinuous. We approximate the discontinuous function by a continuous one either locally or in the entire domain. We study the one-dimensional system in frequency space. We only consider schemes that can be implemented for multidimensional problems both in the frequency and time domains.

Original languageEnglish
Pages (from-to)75-95
Number of pages21
JournalJournal of Scientific Computing
Volume27
Issue number1-3
DOIs
StatePublished - Jun 2006

Keywords

  • Discontinuous coefficients
  • Helmholtz equation
  • High-order method
  • Maxwell equations

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