The theory of the propagation of TEM-pulses in dispersive bi-isotropic slabs

Abstract

A survey of the theory of propagation of transient transverse electromagnetic waves in temporally dispersive, bi-isotropic slabs is given, and a novel wave splitting, which completely separates right-going and left-going waves in the dispersive medium, is proposed. The new approach leads to a simple scattering relation in terms of wave propagators and single-interface scattering operators only. These temporal integral operators are related to the four timedependent susceptibility kernels of the medium through non-linear Volterra equations of the second kind. In a subsequent article, the corresponding inverse scattering problem is addressed on the basis of the new results.

Forerunners in bigyrotropic materials

“…where L(t) = (χ em (t)+χ me (t))/2 and κ(t) = (χ em (t)−χ me (t))/2 are the nonreciprocity kernel and the chirality kernel, respectively, which is in concordance with known results [24]. In the achiral case, N ± cross (t) = 0, cf.…”

“…[24] is now adopted. Wave splitting is a change of the dependent vector field variables, such that the new variables, say E ± = E ± (z, t), represent the up-and down-going waves in the medium, respectively.…”

Time-domain theory of forerunners

“…One way to deal with propagation problems in temporally dispersive media is to adopt a dispersive wave splitting [13]. New vector field variables are introduced by…”

“…In this article, a time-domain method based on a dispersive wave splitting is employed. This wave splitting is obtained as a special case of the wave splitting for bi-isotropic media that was originally introduced in [13]. Key concepts are the index of refraction and the wave propagator, which both are temporal integral operators.…”

Electromagnetic Wave Propagation in Dispersive and Complex Material with Time-Domain Techniques

“…One way to deal with propagation problems in temporally dispersive media is to adopt a dispersive wave splitting [26]. We introduce new dependent variables (split fields) by…”