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DISTRIBUTION OF THE LOSS POWER

OF ELECTROMAGNETIC WAVES IN THE MEDIUM WHICH IS NONUNIFORM ALONG THE PROPAGATION DIRECTION

O. Sh. Dautov
Kazan National Research Technical University named after A. N. Tupolev (KNRTU-KAI),
10, K. Marx Street, Kazan, 420111, Russian Federation
E-mail: dautov_kstu@mail.ru

ABSTRACT

Introduction. When designing radio channels, the nature of loss distribution along the propagation path is of great interest. The integral estimate of losses is not very informative. An attempt to use relationships, obtained by the author for the field of a plane wave in the nonuniform medium, was made in this work. The relationships for defining the electromagnetic field in a plane-layered one-dimensional nonuniform medium, excited by a plane monochromatic wave are applied. Unlike the matrix approach, applicable to the piecewise-homogenous layered medium, leading to fast error accumulation with the increase in a number of layers and therefore, acceptable only in a narrow range of parameters variation with the total thickness of the structure in units of the wave length and the WKB-approximation, having the limited range of application, exact relationships for the field in the medium with one-dimensional arbitrary and also with a smooth variation of electrophysical parameters are used in this work. They were verified earlier for calculating the field in the medium with the piecewise-linear dependence of wave resistance along the propagation direction. The purpose of the work is research into loss power density distribution when electromagnetic waves propagate in the medium, which is nonuniform in the propagation direction using new calculation relationships in order to determine critical areas of radio paths with intensive losses. Interpretation of results and their analysis. In the considered examples of calculation with the application of developed software, the increase in the wave power absorption nonuniformity in the medium with the reflection coefficient growth at the end of the radio path is clearly visible. It is shown that losses are mainly concentrated in areas with increased conductivity. Conclusion. The offered method allows calculating local loss density distribution in radio channels, which are nonuniform along the propagation path. It can also be used for solving other problems where it is necessary to make similar calculations in other spheres. For example, it is used in calculations of nonuniform transmission lines, the solution of acoustic and seismic problems as well as in tasks of quantum mechanics. The presence of an exact mathematical model allows doing research into errors and the efficiency of approximate methods of the solution. The importance of the direct method of computing energy characteristics in the layered medium for the verification and estimation of electromagnetic sounding methods sensitivity in the electrical prospecting of mineral resources and defectoscopy should be emphasized.
   

KEYWORDS

electromagnetic wave; nonuniform medium; wave resistance; power loss distribution; matching

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For citation: Dautov O. Sh. Distribution of the Loss Power of Electromagnetic Waves in the Medium which is Nonuniform Along the Propagation Direction. Vestnik of Volga State University of Technology. Ser.: Radio Engineering and Infocommunication Systems. 2018. No 4 (40). Pp. 15-22. DOI: 10.15350/2306-2819.2018.4.15