Volume Singular Integral Equation Method for Solving Problems of Diffraction of Electromagnetic Waves by a Dielectric Inhomogeneous Body in a Rectangular Waveguide

Authors: M. Yu. Medvedik*, and Yu.G.Smirnov†

Source: FERMAT, Volume 2, Article 5, Mar.-Apr., 2014


Abstract: 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. Volume singular integral equation method is applied to analyze the problem for structures of a complex geometric shape. Since the problem is highly computer-intensive, it is solved with the use of parallel algorithms realized on a supercomputer.

Index Terms: Maxwell equations, volume singular integral equation, Galerkin method, numerical results.


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Volume Singular Integral Equation Method for Solving Problems of Diffraction of Electromagnetic Waves by a Dielectric Inhomogeneous Body in a Rectangular Waveguide