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Petersburg Department of Steklov Institute of Mathematics

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PREPRINT 22/1997

M.I.BELISHEV, A.K.GLASMAN
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VISUALIZATION OF WAVES IN THE MAXWELL DYNAMICAL SYSTEM
(THE BC-METHOD)

This preprint was accepted October, 1997.

Contact:
` M.I.Belishev `

Abstract:

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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