Abstract
In this work, by using the wave equations proposed by the authors for the vector of the vibrational velocity of particles and the well-known equation for acoustic pressure in an inhomogeneous stationary medium, the influence of the parameters of the medium on the vector-phase properties of the acoustic field is investigated. For the first time, analytical equations are found for the phases and moduli of the vectors of the complex intensity and acoustic energy flux density (acoustic intensity vector), vibrational velocity, pressure, and energy density, which establish a relation between them and both the medium density and the speed of sound. The proposed approach allows an analytical analysis of the influence of the density of and speed of sound in an inhomogeneous medium on the parameters of the acoustic field. In turn this approach opens possibilities of solving the reciprocal problem on finding the spatial distribution of the density and the speed of sound of a medium on the basis of measured values of the acoustic pressure and the vibrational velocity.
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This study was supported by the Russian Science Foundation, project no. 19-12-00323.
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Dzyuba, V.P., Romashko, R.V. & Kulchin, Y.N. Scalar Vector and Phase Characteristics of an Acoustic Field in an Arbitrary Regular Inhomogeneous Liquid Medium. Dokl. Phys. 67, 47–50 (2022). https://doi.org/10.1134/S1028335822020045
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DOI: https://doi.org/10.1134/S1028335822020045