Author(s)

A. Bachelot & V. Lange

Abstract

We solve the problem of diffraction of an electromagnetic wave by a dissipative scatterer using a boundary integral method in time-domain directly. We prove the existence and uniqueness of the solution of this problem. We obtain the continuity and a relation of coercivity for the associated time-dependent formulation in this time functional framework. The discret approximation of the variational formulation leads to a stable marching-in-time scheme. 1 Introduction The time dependent integral method was applied by T. HA DUONG [3] in 1987 for solving the waves equation in dimension 3D+1. He also defined a functional framework used by E. BECACHE [2] in elastic waves and by A. PUJOLS [6] for Maxwell's system in 2D+1. In 1993, I. TERRASSE [8] introduced new spaces coupling time

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