Baseband and envelope propagation in media modeled by a class of complex dispersion relations

Abstract

We demonstrate that a class of simplified complex dispersion relations, which obey causality, can model baseband and envelope propagation in conventional and negative index materials. One such dispersion relation is a special case of the Drude model, another yields the Kuramoto-Shivashinsky equation, while a third, in the limit, yields the simplest dispersion for negative index materials.