Abstract
The present paper develops an approach to 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 a geometric nature. Bibliography: 4 titles.
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References
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Additional information
Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 250, 1998, pp. 49–61.
Translated by M. I. Belishev.
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Belishev, M.I., Glasman, A.K. Visualization of waves in the maxwell dynamical system (the BC-method). J Math Sci 102, 4166–4174 (2000). https://doi.org/10.1007/BF02673847
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DOI: https://doi.org/10.1007/BF02673847