ELECTROMAGNETIC BOUNDARY-VALUE PROBLEM IN THE PRESENCE OF A PARTLY LOSSY DIELECTRIC - CONSIDERATIONS ABOUT THE UNIQUENESS OF THE SOLUTION

This paper deals with the uniqueness of the solution of a boundary val ue problem defined by specifying the tangential components of the elec tric field over the closed regular boundary (or the tangential compone nts of the magnetic field over the boundary, or the former components over part of the boundary and the latter components over the rest of t he boundary) of a limited region containing a linear dielectric materi al not lossy everywhere. In particular, the uniqueness of the solution is proved in the case where the dielectric is everywhere linear, homo geneous, and lossless, except for a subregion where the dielectric is lossy, linear but not necessarily homogeneous.