Inverse problem of determining parameters of inhomogeneity of a body from acoustic field measurements


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Abstract

This work is devoted to development of methods for solving inverse problems in acoustics. Propagation of an acoustic field in a body located in the free space is considered. In the inverse problem, an iterative method for reconstructing the parameters of inhomogeneity of a body from a known acoustic field is applied. The theorem on convergence of the method is proven. Numerical results for inhomogeneous bodies of complex form are presented.

About the authors

R. O. Evstigneev

Penza State University

Author for correspondence.
Email: roman_cezar@mail.ru
Russian Federation, ul. Krasnaya 40, Penza, 110026

M. Yu. Medvedik

Penza State University

Email: roman_cezar@mail.ru
Russian Federation, ul. Krasnaya 40, Penza, 110026

Yu. G. Smirnov

Penza State University

Email: roman_cezar@mail.ru
Russian Federation, ul. Krasnaya 40, Penza, 110026

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