Perfectly Matched Layer (PML) for Computational Electromagnetics

Jean-Pierre Bérenger received a Master in Physics from the Joseph Fourier University, Grenoble, France, in 1973, and a Master in Optical Engineering from the Institut d’Optique Graduate School, Paris, France, in 1975. From 1975 to 2013 he was with the Direction Générale de l’Armement (DGA) of the French Ministry of Defense. During years 1975-1988 he was engaged in applied research in the field of the electromagnetic effects of nuclear bursts. From 1988 to 1998 he held a position as an expert on the effects of nuclear bursts on radio communications, and from 1998 to 2013 he was a manager of prospective studies in the field of command, control, and communications. From 2013 to 2023 he was a visiting Professor with the University of Manchester, UK, and from 2013 he has been a consultant on numerical methods and on the electromagnetic effects of nuclear rays. Most of the works published by Jean-Pierre Bérenger in the scientific literature concern the FDTD method, the absorbing boundary conditions, and the propagation of VLF-LF radiowaves over the Earth surface. He was the recipient of the 2013 Medal of URSI-France and of the 2014 John Dellinger Gold Medal of URSI. He is a Fellow of IEEE and URSI.

• Introduction.- The requirements for the simulation of free space and a review of existing absorbing boundary conditions.- The two dimensional perfectly matched layer.- Generalizations and interpretations of the perfectly matched layer.- Time domain equations for the PML medium.- The PML ABC for the FDTD method.- Optimization of the PML ABC in wave-structure interaction and waveguide problems.- Some extensions of the PML ABC.- Using the PML in the Context of Modern Computers.