A time-domain volume integral equation and its marching-on-in-degree solution for analysis of dispersive dielectric objects

Yan Shi, Jian Ming Jin

Research output: Contribution to journalArticlepeer-review

Abstract

A marching-on-in-degree (MOD)-based scheme for analyzing transient electromagnetic scattering from three-dimensional dispersive dielectric objects is proposed. A time-domain volume integral equation (TDVIE) for the electric flux density throughout the object is first formulated and then solved using the MOD scheme. With the use of weighted Laguerre polynomials as entire-domain temporal basis functions, the convolution of the electric flux density and the medium susceptibility and its derivatives can be handled analytically. By employing the Galerkin temporal testing procedure, the time variable is eliminated in the resultant recursive matrix equation so that the proposed algorithm overcomes the late-time instability problem that may occur in the conventional marching-on-in-time (MOT) approach. Some complex dispersive media, such as the Debye, Lorentz, and Drude media, are simulated to illustrate the validity of the TDVIE-MOD algorithm.

Original languageEnglish (US)
Article number5677595
Pages (from-to)969-978
Number of pages10
JournalIEEE Transactions on Antennas and Propagation
Volume59
Issue number3
DOIs
StatePublished - Mar 2011

Keywords

  • Electric flux density
  • marching-on-in-degree (MOD)
  • medium susceptibility
  • time-domain volume integral equation (TDVIE)
  • weighted Laguerre polynomials

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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