A strongly well-posed PML in lossy media

A systematic method is presented for formulating a strongly well-posed perfectly matched layer (PML) for lossy media. This method is based on the complex coordinate-stretching technique that was originally proposed for the split-field PML in lossy media. However, unlike the previous split-field PML, this unsplit-field PML retains the hyperbolic system in Maxwell´s equations, with some additional terms that are governed by ordinary differential equations that do not affect the well-posedness of the system. The derivation of the PML formulation is rigorous and straightforward.