Solution of Electromagnetic Problems in Cartesian, Spherical and Cylindrical Coordinates by Green’s Function Method

Application peculiarities of the Green's functions method for Cartesian, cylindrical and spherical coordinate system are under consideration. Layered magneto-dielectric structures with arbitrary extraneous electric and magnetic currents are investigated. The equivalent circuit approach is applied for layered structures description. Transmitting matrices are used for wave propagation modelling in each layer and through boundaries between layers. It is shown that the boundary transmitting matrix for flat and spherical structures is equal to the unit matrix. Different kinds of loads are used for region boundaries modelling. Proposed approach with transmitting matrices allows one to develop universal algorithms with common modules for solution of electromagnetic problems such as wave excitation and propagation, antennas radiation and scattering associated with flat, cylindrical and spherical structures of any number of layers, arbitrary permittivity and permeability.