On Generalized Solutions of the Problems of Electromagnetic Wave Diffraction in the Open Space

Abstract: In this article we construct a special class of the generalized functions for the rigorous justification of joining method of solving some diffraction problems of electromagnetic waves by thin conducting screens. Linear functionals on a set of linear combinations of Hermit functions are considered as the generalized functions. The traces of the solutions of Helmholtz equation on the plane are interpreted in the generalized sense. The infinite sets of linear algebraic equations are derived directly from the generalized boundary conditions. The results of the computing experiment are presented

On Resonant Frequencies in the Diffraction Problems of Electromagnetic Waves by the Diaphragm in a Semi-Infinite Waveguide

© 2020, Pleiades Publishing, Ltd. Abstract: Resonant properties of semi-infinite place and rectangularwaveguides in the presence of a thin conductive diaphragm placednear the cross-wall are investigated. The diffraction problems ofelectromagnetic waves by diaphragms are reduced by the method ofintegral-series identities to the infinite sets of linearalgebraic equations. It is found that at some values of thefrequency of the excitatory wave there is a sharp resonantincrease of the amplitude of standing waves in the area betweenthe diaphragm and the flange

On the Scattering of Electromagnetic Waves by Cylindrical Bodies with Non-Coordinate Boundaries

© 2020, Pleiades Publishing, Ltd. Abstract: Different variants of the problem of diffraction of planeelectromagnetic wave by the cylindrical body are constructed andresearched in the work. These problems are reduced to infinitesets of linear algebraic equations. The conductive bodies anddielectric bodies with thin conductive bands on the non-coordinateboundary are considered. The results of the computationalexperiment are presented

On the Scattering of Electromagnetic Waves by Axial-Symmetric Bodies

Abstract: Different variants of the problem of diffraction of spherical electromagnetic wave by axial-symmetric bodies are researched in the work. These problems are reduced to infinite sets of linear algebraic equations. The joining method is used. The conductive bodies, dielectric bodies and spherical conductive screens on the coordinate and non-coordinate boundaries are considered. The results of the computational experiment are presented