A novel semi-analytic method for the analysis of scattering by dielectric objects immersed in uniform media
The author considers the time-harmonic electromagnetic scattering by bounded penetrable obstacles. In particular, a numerical method for the solution of the following problem is proposed: given the inhomogeneity in the medium (i.e., the electric permittivity, the magnetic permeability, and the conductivity), given the incident electromagnetic field, compute the scattered electromagnetic field. The well-known integral representation formulas for the internal electromagnetic field and the scattered electromagnetic field are used to obtain two integral equations for these electromagnetic fields. These equations are discretized by a collocation approach with a spectral basis for the representation of the solution. The discretization variables for the internal and the external fields are then coupled by a suitable integral equation on the boundary of the obstacle under consideration. The paper concludes with several numerical examples, where the stability of the proposed method is analysed with respect to discretization parameters.
numerical solution of integral equations
scientific article; zbMATH DE number 5901235