Modeling of electromagnetic waves in media with dirac distribution of electric properties

Abstract

We develop a new numerical approach of the electromagnetic wave propagation in a complex media model. We use a new Finite Element Method for space discretization and a finite difference method in time domain. This study is applied to TDR (Time Domain Reflectometry) which appears as a wave guide. In this context, the experimental approach is very uneasy and the numerical study brings about very interesting results, particularly for local values of the electromagnetic field. Moreover we test models of an heterogeneous medium. Dielectric properties of the medium are represented by an homogeneous component associated with Dirac distribution. We present wave front profiles with useable signals simulation. © Springer-Verlag Berlin Heidelberg 2005.