Perfect Matched Layer (PML) For Computational Electromagnetics

This lecture presents the perfectly matched layer (PML) absorbing boundary condition (ABC) to be used to simulate free space when solving the Maxwell equations with such finite methods as the finite difference time domain (FDTD) method or the finite element method. The frequency domain and the time domain equations are derived for the different forms of PML media, namely the split PML, the CPML, the NPML, and the uniaxial PML, in the cases of PMLs matched to isotropic, anisotropic, and dispersive media. The implementation of the PML ABC in the FDTD method is presented in detail. Propagation and reflection of waves in the discretized FDTD-PML space are derived and discussed, with a special emphasize on the case of evanescent waves. The optimization of the PML ABC is described for two typical applications of the FDTD method, firstly wave-structure interaction problems, secondly waveguide problems. Finally, a review of the literature on the application of the PML ABC to other numerical techniques of electromagnetics and to other partial differential equations of physics is provided.Berenger, Jean-Pierre is the author of 'Perfect Matched Layer (PML) For Computational Electromagnetics ', published 2007 under ISBN 9781598290820 and ISBN 1598290827.