Transient Electromagnetic Wave Propagation in Anisotropic Dispersive Media

In English In this paper transient electromagnetic wave propagation in a stratified, anisotropic,
dispersive medium is considered. Specifically, the direct scattering
problem is addressed. The dispersive, anisotropic medium is modeled by constitutive
relations (a 3 × 3 matrix-valued susceptibility operator)con taining
time convolution integrals. In the general case, nine different susceptibility
kernels characterize the medium. An incident plane wave impinges obliquely
on a finite slab consisting of a stratified anisotropic medium. The scattered
fields are obtained as time convolutions of the incident field with the scattering
kernels. The scattering (reflection and transmission)k ernels are uniquely
determined by the slab and are independent of the incident field. The scattering
problem is solved by a wave splitting technique. Two different methods
to determine the scattering kernels are presented; an imbedding and a Green
functions approach. Explicit analytic expressions of the wave front are given
for a special class of media. Some numerical examples illustrate the analysis.