A general family of Perfectly Matched Layers for non necessarily convex domains

Since introduced by Berenger [1], the Perfectly Matched Layers method (PML) has become a popular approach for non reflecting Absorbing Boundary Conditions (ABC) in the numerical solution of the Maxwell equations on unbounded domains. However, most of the formulations only concern parallelepiped or simply convex domains. The goal of this paper is to present the theory for non necessarily convex PML on systems like Maxwell’s.