Electromagnetic wave diffraction by a system of non-intersecting obstacles of various dimensions

The vector problem of time-harmonic electromagnetic wave diffraction by a system of non-intersecting solid inhomogeneous bodies, infinitely thin perfectly conducting screens and wire antennas is considered. The original boundary value problem for Maxwell´s equations is reduced to a system of integro-differential equations over the volume domains, the screen surfaces and antennas. To solve the integral equations approximately, the Bubnov-Galerkin method is applied; basis functions on the body, the screens and antennas are introduced as well as formulas for matrix elements in the Galerkin method. To solve the problem of diffraction by obstacles of complex shape, the subhierarchical approach is applied.