Abstract
We consider the control problem for two-dimensional model of the electromagnetic field, which describes the scattering TM-polarized electromagnetic waves in an infinite homogeneous medium containing permeable dielectric obstacle with a covered for masking boundary. The role of control function is played by index of refraction of the dielectric obstacle. We prove the solvability of the control problem, derive the optimality system, which describes the necessary conditions of an extremum and develop an efficient numerical algorithm for the solution of the control problem.
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