A recently introduced system of partial differential equations, based
on physical considerations, which describes the behavior of electro-ma
gnetic waves in artificial absorbing layers, is analyzed. Analytic sol
utions are found, for the cases of semi-infinite layers and finite dep
th layers, both for primitive and characteristic boundary conditions.
A different set of equations that seem to offer some advantages is pro
posed in this paper. The properties of its solutions for the same geom
etries and boundary condition are also discussed, (C) 1998 Elsevier Sc
ience B.V. and IMACS. All rights reserved.