Comparison of integral equations for the Maxwell transmission problem with general permittivities

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Abstract

Two recently derived integral equations for the Maxwell transmission problem are compared through numerical tests on simply connected axially symmetric domains for non-magnetic materials. The winning integral equation turns out to be entirely free from false eigenwavenumbers for any passive materials, also for purely negative permittivity ratios and in the static limit, as well as free from false essential spectrum on non-smooth surfaces. It also appears to be numerically competitive to all other available integral equation reformulations of the Maxwell transmission problem, despite using eight scalar surface densities.

Original languageEnglish
Article number76
JournalAdvances in Computational Mathematics
Volume47
Issue number5
DOIs
Publication statusPublished - 2021 Oct

Subject classification (UKÄ)

  • Mathematical Analysis

Free keywords

  • Boundary integral equation
  • Electromagnetic scattering
  • Maxwell’s equations
  • Non-smooth object
  • Surface plasmon wave
  • Transmission problem

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