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In constructing solutions of steady-state wave propagation problems, a common procedure is to assume that the frequency has a small imaginary part and, with an eventual solution in hand, to let this imaginary part go to zero − the principle of limiting absorption. There are three basic problems involved here. The first is to establish the principle of limiting absorption itself, i.e., to show in a rigorous manner that a steady-state solution can actually be obtained in this fashion

Time-harmonic solutions of some dissipative problems for Maxwell’s equations in a three-dimensional half space