Nonlinear PML Equations for Time Dependent Electromagnetics in Three Dimensions

ABSTRACT

In this talk we present a new set of nonlinear PML equations for the multi-dimensional Maxwell's equations and show that they are strongly well posed and temporally stable.They are presented in vector form and so may be directly written in any set of orthogonal coordinates. Another virtue of this set of equations is that there is no need for nonphysical variables in the absorbing layer. This greatly reduces the number of equations that one solves numerically (from 12 to 6 in the three dimensional case).