Subhierarchical Method for Solving Problems of Diffraction of Electromagnetic Waves by a Dielectric Body in a Rectangular Waveguide

The problem of diffraction of an external electromagnetic field by a locally inhomogeneous body placed in a rectangular waveguide with perfectly conducting walls is considered. The formulated problem is reduced to a volume singular integral equation. The problem is solved with the use of the numerical collocation method. A subhierarchical method is applied to analyze the problem for structures of a complex geometric shape. Because of a large amount of computation, the problem is solved with the use of parallel algorithms realized on a supercomputer complex.