In this talk we discuss the perfectly matched layer (PML) technique developed in computational electromagnetics (CEM) to terminate an infinite computational domain for the simulation of wave propagation and scattering.
We first consider the case of a non-dispersive medium, for which the PML was originally designed, and summarize results about classical PMLs that have been developed in the CEM community. We then consider the case of dispersive media and the extension of the PML technique to such media. We present some new results about the stability of the PML for popular dispersive materials such as the Debye and Lorentz models. The discretization of the PML model and the stability of the discrete PML for such media using the popular Yee scheme is considered. We finally present some numerical simulations to illustrate the theoretical results.