Mathematical modelling of electromagnetic scattering problems

We consider a wide range of electromagnetic problems of scattering by locally inhomogeneous bodies, whose dielectric and magnetic properties are characterized by arbitrary distributed tensors εˆ(x) and μˆ(x). To simulate the problems, we use singular integral equations over the domain Q of nonhomogeneity. Both 2D and 3D are examined in the same manner that includes an integral formulation of the problem, investigation of the solvability and uniqueness of the solution, an iterative numerical method. While 3D problems are formulated by a general equation, different integral equations can be considered for inhomogeneous 2D problems, depending on properties of the media and source field polarization