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.
|Number of pages||13|
|Journal||Mathematical Methods in the Applied Sciences|
|Publication status||Published - 10 May 1999|