### 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 language | English |
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Pages (from-to) | 619-631 |

Number of pages | 13 |

Journal | Mathematical Methods in the Applied Sciences |

Volume | 22 |

Issue number | 7 |

Publication status | Published - 10 May 1999 |