Electromagnetic wave diffraction by a system of arbitrarily located 1D, 2D, and 3D scatterers

The problem of electromagnetic wave diffraction by a system of wire antennas, infinitely thin perfectly conducting screens, and solid inhomogeneous bodies in the quasi-classical formulation is considered. The original boundary value problem is reduced to a system of integro-differential equations over the straight-line antennas, the screen surfaces, and the volume domains. To find approximate solutions, the Galerkin method is applied; compactly supported basis functions on the compact domains of dimension 1, 2, and 3 are introduced. Computational formulas for matrix elements in the Galerkin method are provided. Numerical results are also given.