Abstract

Abstract A simple closed-form causal solution is derived for electromagnetic waves of arbitrary frequency in polycrystalline media by invoking a Rokhlin-type relation for the effective attenuation function and the Kramers-Kronig relations for the effective phase velocity. This solution is used to sort out the acceptable, and, for some, until now unrevealed, complex roots of the dispersion relation arising in the basically more rigorous theory of Bussemer, Hehl, Kassam and Kaganov (1991). Modifications to the Bussemer et al theory are proposed which incorporate the causality of the coherent wave.

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