Mathematical modeling of the propagation of a plane electromagnetic wave in a strip waveguide with inhomogeneous boundary conductivity

In the article, mathematical modeling of the electromagnetic dynamics of an atmosferic is carried out. Atmospheric is a broadband signal with a maximum intensity in the frequency range of 8-10 kHz, which propagates in the form of a plane electromagnetic wave in the complex structure of the conducting space of the waveguide formed by the Earth's surface and the ionosphere. The mathematical model of the process is described by a boundary value problem for the system of Maxwell equations. The boundary conditions of the problem determine the structure of the waveguide (Perfectly matched layer), the parameters of the conducting volume, and the interaction with inhomogeneities in the waveguide, either temporarily arising (local change in conductivity) or existing permanently (coastal line of the oceans). The mathematical model is solved by the Finite-Difference Time-domain numerical method. To solve the problem, a software package was developed in the MATLAB environment. As a result of computer simulations, it is shown that the presence of distortions of the main electromagnetic wave is caused by the mutual interference of the main wave and the reflected wave from the inhomogeneity. As a result, by observing the parameters of the atmospheric, it is possible to establish the presence of inhomogeneity along the path of its propagation. Simulation of the process of interaction of electromagnetic radiation with an inhomogeneity in a waveguide can establish a relationship between the radiation parameters and its inhomogeneities.