This preprint was accepted October, 1997.
The present paper develops an approach to the inverse problems using their relations to boundary control theory (the BC-method). One of the main tools of the approach is the so-called amplitude formula (AF) based on geometric optics and properties of the controllability of dynamical systems. The AF makes the waves propagating inside a domain visible for an external observer performing measurements at the boundary. In the paper, a natural analog of the AF is obtained for a system governed by the Maxwell equations. As an auxiliary result, an approximate controllability of the electric component of the system is established under some assumptions of geometric nature.
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