The limiting absorption principle and spectral theory for steady-state wave propagation in globally perturbed nonselfadjoint media (Q791042)

The equations of electromagnetic wave propagation (Maxwell's equations) are considered in perturbed form with the perturbation being a type of integral operator. Only the steady-state problem is studied, with the Cauchy problem left for the sequel. A limiting absorption theorem is proved under the condition that the dispersion term has a certain asymptotic form. It is shown that the eigenvalues of the system are a discrete set in the upper and lower half-planes with possible limit points at the real axis. These limit points form a set of linear measure zero and are nowhere dense in the linear sense.