Cloaking of material objects by controlling the impedance boundary condition for Maxwell's equations

The problem of masking for three-dimensional Maxwellian equations that describe scattering of electromagnetic waves in a homogeneous medium was studied. The medium contains a permeable anisotropic obstacle having a partially covered boundary. The role of control is played by the surface conductivity for the partially covered boundary. the three-dimensional model of scattering electromagnetic waves serves as a functional limitation. This model is considered under an impedance boundary condition at the covered part of the region boundary. Further, based on analysis of this system, it is determined that the sufficient conditions for the initial data, which provide the uniqueness and the stability of the optimal solutions for both the original quality functional and the incident wave.