A well-posed PML absorbing boundary condition for lossy media

In applying the Maxwell´s differential solvers, such as FEM, FDTD and pseudospectral time-domain (PSTD), to infinite-domain problems, it is necessary to use the absorbing boundary conditions (ABCs) to truncate the computational domain. Since first introduced by Berenger (1994), the perfectly matched layer (PML) has become the most popular and efficient ABC. Various forms of PML, split and non-split, lossless and lossy, non-dispersive and dispersive, have been proposed The original Berenger´s PML is in a split field form, and has been shown to be only weakly well-posed. In this paper, based on the coordinate-stretching technique, we derived a well-posed PML for lossy media using a simple procedure. Numerical results demonstrate the efficiency of the new PML ABC.