Numerical approximation of time domain electromagnetic scattering from a thin wire

B. Zubik-Kowal, P.J. Davies

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Abstract We present two new stable schemes for computing the current induced on the surface of a thin wire by an incident time-dependent electromagnetic field. The problem involves solving a retarded potential integral equation (RPIE). One algorithm solves the previously studied reduced kernel RPIE problem, and the other solves the more complicated exact kernel RPIE problem (for which there are no previous numerical results). Both algorithms behave stably for arbitrarily chosen values of the mesh size. Test experiments and numerically computed values of the induced current are presented.
LanguageEnglish
Pages25-36
Number of pages12
JournalNumerical Algorithms
Volume30
Issue number1
DOIs
Publication statusPublished - May 2002

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Electromagnetic Scattering
Numerical Approximation
Integral equations
Time Domain
Integral Equations
Induced currents
Wire
Scattering
kernel
Electromagnetic fields
Electromagnetic Fields
Mesh
Numerical Results
Computing
Experiment
Experiments

Keywords

  • retarded integral equations
  • reduced kernel
  • exact kernel
  • thin wire
  • electromagnetic scattering
  • time domain

Cite this

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Numerical approximation of time domain electromagnetic scattering from a thin wire. / Zubik-Kowal, B.; Davies, P.J.

In: Numerical Algorithms, Vol. 30, No. 1, 05.2002, p. 25-36.

Research output: Contribution to journalArticle

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AB - Abstract We present two new stable schemes for computing the current induced on the surface of a thin wire by an incident time-dependent electromagnetic field. The problem involves solving a retarded potential integral equation (RPIE). One algorithm solves the previously studied reduced kernel RPIE problem, and the other solves the more complicated exact kernel RPIE problem (for which there are no previous numerical results). Both algorithms behave stably for arbitrarily chosen values of the mesh size. Test experiments and numerically computed values of the induced current are presented.

KW - retarded integral equations

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KW - exact kernel

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KW - electromagnetic scattering

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