Numerical Simulation of a Circular Dielectric Microwave Waveguide with a Complex Cross-Section

Abstract

For the first time, an analytical expression was obtained between the intensity of the electric field and the relative dielectric constant in the nonlinear state of the medium. This analytical expression is of great theoretical interest and is the basis for the design of microwave telecommunication systems with different frequency bands for the transmission of information over long distances. New mathematical models of Cartesian and cylindrical coordinate systems of the electromagnetic field of a circular waveguide operating at a frequency of 9 GHz from microwave telecommunication devices have been developed, taking into account the nonlinearity of the environment and the types of waves. Effective algorithms have been proposed for the solution of new mathematical models of the electromagnetic field of a circular waveguide operating at a frequency of 9 GHz from microwave telecommunication facilities, taking into account the nonlinearity of the environment and the types of waves. This has allowed to improve the electrical, magnetic, structural and operational parameters and characteristics of microwave circular waveguide. The method of finite differences was improved taking into account the constructive dimensions for modeling the electromagnetic fields of <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$E$</tex> -type (TH) and <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$H$</tex> -type (TE) waves of microwave circular waveguide, and as a result the method of minimizing the attenuation coefficient of electromagnetic waves at 9 GHz was developed. For <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$E$</tex> -type and <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$H$</tex> -type waves, <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$3D$</tex> models of the distribution of electromagnetic field intensities in the elementary regions of a circular waveguide operating at a frequency of 9 GHz were obtained.