Optimization Method in 2-D Problems of Material Body Cloaking

Abstract:

We consider the control problem for two-dimensional model of the electromagnetic field which describes the scattering E-polarized electromagnetic waves in an infinite homogeneous medium containing permeable dielectric obstacle with a partially covered (for masking) boundary. The role of control function is played by surface conductivity entering the impedance boundary condition on the covered part of the boundary and the 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.

• Periodical: Applied Mechanics and Materials (Volume 756)
• Pages: 436-441
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.756.436
• Online since: April 2015
• Authors: Gennady V. Alekseev, Aleksey Lobanov
• Keywords: Boundary Control, Impedance, Mixed Boundary Value Problem, Scattering Problem, Stability Estimates

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