The Well-Posedness of the Electric Field Integral Equation for Transient Scattering from a Perfectly Conducting Body

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Abstract

We consider the scattering of a transient electromagnetic field incident on a body with a smooth, perfectly conducting surface. A standard numerical method for calculating the scattered field is to use a time dependent, surface integral equation (called the electric field integral equation) to calculate the surface currents and charges induced by the incident field - these currents and charges then yield the scattered fields by means of standard integral representations (vector and scalar potentials). In this paper we show that the time-dependent electric field integral equation is well-posed in a suitable function space setting. We also investigate the behaviour of the solutions at large time. Copyright © 1999 John Wiley & Sons, Ltd.

Original languageEnglish
Pages (from-to)619-631
Number of pages13
JournalMathematical Methods in the Applied Sciences
Volume22
Issue number7
Publication statusPublished - 10 May 1999

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