Physical Fields of Ship, Ocean and Atmosphere
DOI.org/10.5281/zenodo.2578708

Korchaka A., Yem A., Korochentsev V.

ANATOLY KORCHAKA, Postgraduate, e-mail: anatoliy_korchaka_informbox@mail.ru
ARTYOM YEM, Postgraduate Student, e-mail: art_of_motion@mail.ru
VLADIMIR KOROCHENTSEV, Doctor of Physics and Mathematical Sciences, Professor, Head of Department, e-mail: korochentsev.vi@dvfu.ru
Department of Instrument Engineering, School of Engineering
Far Eastern Federal University
8 Sukhanova St., Vladivostok, 690091, Russia

Mathematical model of a spherical wave emitter
in a layered environment

Abstract: The article is devoted to the problems of designing hydroacoustic antennas for underwa-ter and surface vehicles of various purposes. Analysis of the wave field of the designed antenna is an important part of the engineering calculation. The known methods for calculating directional patterns in inhomogeneous media are often complex and limited in application. There is a need to develop methods for the analysis of wave fields in a layered environment.
The mathematical model proposed in this article is based on the Green's theory of directional func-tions, which allows describing the wave field inside a closed volume consisting of several media with different characteristics. The scientific novelty of the proposed approach lies in the application of the famous theory of wave reflection from a flat layer for solving some practical problems in engineering of a sonar transducer. The results of numerical calculations for different combinations of layered media are presented. The applicability of the proposed model for the solution of the problem has been confirmed. The authors made an assessment of calculation errors. Calculations were performed on a medium power computer using simple software in a relatively short time.
Keywords: Green's functions, wave field, layered media, analysis problem, antennas designing.

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