A marching-on-in-degree solution of volume integral equations for transient electromagnetic scattering by bi-isotropic objects

Yan Shi, Jian Ming Jin

Research output: Contribution to journalArticle

Abstract

A time-domain volume integral equation solved by the marching-on-in-degree scheme is presented for the analysis of transient electromagnetic scattering from three-dimensional inhomogeneous bi-isotropic objects. Based on the volume equivalence principle, the volume-based coupled integral equations for electric and magnetic flux densities are formulated. The transient variations of the electric and magnetic flux densities are expanded in terms of weighted Laguerre polynomials. With the use of the Galerkin spatial and temporal testing procedure, the proposed algorithm overcomes the late-time instability problem that often occurs in the marching-on-in-time approach. Numerical results are presented to illustrate the accuracy and versatility of the proposed algorithm.

Original languageEnglish (US)
Pages (from-to)159-172
Number of pages14
JournalElectromagnetics
Volume31
Issue number3
DOIs
StatePublished - Apr 1 2011

Keywords

  • electric and magnetic flux densities
  • marching-on-in-degree
  • time-domain volume integral equation
  • weighted Laguerre polynomials

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Radiation
  • Electrical and Electronic Engineering

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