Pml as an Efficient Abc for Lossy Media

Berenger's perfectly matched layers (PML) has been found very e cient as a material absorbing boundary condition (ABC) for nite-di erence time-domain (FDTD) modeling of lossless media. In this paper, we apply the PML ABC to lossy media. The new ABC is shown to work excellently for lossy media too, provided that the appropriate PML pro les are selected. We nd that an e cient PML pro le is usually related to the medium loss. A general rule is given on the selection of the appropriate PML pro les for media with di erent losses. A three dimensional (3D) FDTD code based on our formulation has been written to verify our ideas. Excellent agreement is achieved between the FDTD results and the analytical ones for media of di erent losses. We believe that the PML technique is one of the best ABC's for e cient and precise FDTD modeling. 2 PML AS AN EFFICIENT ABC FOR LOSSY MEDIA Y. H. Chen and W. C. Chew Center for Computational Electromagnetics Department of Electrical and Computer Engineering University of Illinois Urbana, IL 61801 Michael L. Oristaglio Electromagnetics Department Schlumberger-Doll Research Old Quarry Road, Ridgefield, CT 06877