Abstract
A rigorous approach to the solution of Maxwell equations for a monochromatic field in a homogeneous uniaxial medium is considered. The approach is based on using the tensor Green’s function. The general solution satisfying arbitrarily specified boundary conditions is presented. Conditions that must be satisfied by boundary conditions ensuring the existence of the field in the form of an ordinary or extraordinary wave in a uniaxial medium are formulated. These results make it possible to decompose arbitrarily specified boundary conditions, namely, to represent them as a uniquely possible combination of two terms each of which is responsible for the propagation of a wave of only one type. A version of an approximate decomposition of boundary conditions that is applicable to paraxial beams is proposed.
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