Geodesic
Visualization of waves in the Maxwell dynamical system (the BC-method)
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 27, Tome 250 (1998), pp. 49-61

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The paper develops an approach to the Inverse Problems using their relations to the Boundary Control Theory (the BC-method). One of main tools of the approach is the so-called Amplitude Formula (AF) based upon the Geometrical Optics and properties of controllability of dynamical systems. The AF makes the waves propagating into a domain be visible for an external observer performing measurements at a boundary. In the paper a natural analog of the AF is obtained for a system governed by the Maxwell equations. As an auxilliary result, an approximate controllability of electric component of the system is established under some assumptions of geometrical character. 
@article{ZNSL_1998_250_a3,
     author = {M. I. Belishev and A. K. Glasman},
     title = {Visualization of waves in the {Maxwell} dynamical system (the {BC-method)}},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {49--61},
     publisher = {mathdoc},
     volume = {250},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1998_250_a3/}
}
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M. I. Belishev; A. K. Glasman. Visualization of waves in the Maxwell dynamical system (the BC-method). Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 27, Tome 250 (1998), pp. 49-61. http://geodesic.mathdoc.fr/item/ZNSL_1998_250_a3/