Gnatyuk M. The development of the integral equation method of partial overlapping domains for solving waveguide diffraction problems

Object – an electromagnetic wave diffraction process on inhomogeneities in waveguides. Aim – the development of effective methods for analysis of electromagnetic wave diffraction process in waveguides. Subject – numerical models of electromagnetic wave diffraction in waveguide transmission lines. Methods – integral equation method, mathematical methods of microwave electrodynamics, tensor Green’s functions, methods of applied mathematics and numerical analysis. Results – the Schwartz alternating method has been developed in order to apply it to a wider class of exterior and interior electromagnetic wave diffraction problems; the three-dimensional electromagnetic wave diffraction problem on a junction of two rectangular waveguides has been solved for the first time using Schwartz method; diffraction problems on an infinite parallel plate PAA with aperture inhomogeneities have been solved using Schwartz alternating method with optimal iteration algorithm; the vector three-dimensional diffraction problem on a cascaded junction of three waveguides have been solved for the first time using overlapping partial domain method. Application - development, design and production of microwave devices, passive and active waveguide devices, antennas and antenna systems of centimetre and millimetre wave bands, including phased array antennas.