Extension of the Lorenz-Mie-Debye method for electromagnetic scattering to the time-domain

Leslie Greengard, Thomas Hagstrom, Shidong Jiang

Research output: Contribution to journalArticle

Abstract

In this paper, we extend the frequency domain Lorenz-Mie-Debye formalism for the Maxwell equations to the time-domain. In particular, we show that the problem of scattering from a perfectly conducting sphere can be reduced to the solution of two scalar wave equations - one with Dirichlet boundary conditions and the other with Robin boundary conditions. An explicit, stable, and high-order numerical scheme is then developed, based on our earlier treatment of the scalar case. This new representation may provide some insight into transient electromagnetic phenomena, and can also serve as a reference solution for general purpose time-domain software packages.

Original languageEnglish (US)
Pages (from-to)98-105
Number of pages8
JournalJournal of Computational Physics
Volume299
DOIs
StatePublished - Oct 5 2015

Keywords

  • Debye potentials
  • Maxwell equations
  • Mie series
  • Vector spherical harmonics

ASJC Scopus subject areas

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

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