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Functional-analytical solution to an acoustic tomography problem, based on data from point transducers

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Bulletin of the Russian Academy of Sciences: Physics Aims and scope

Abstract

A two-dimensional version of the functional-analytical algorithm for solving the inverse scattering problem is considered and modeled. Acoustic fields, transmitted and received by quasi-point transducers, are used as experimental data. The algorithm is mathematically rigorous and does not require either linearization of the models or iterations, making it attractive for a variety of applications in acoustic tomography.

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Authors and Affiliations

  1. Faculty of Physics (Department of Acoustics), Moscow State University, Moscow, 119991, Russia

    V. A. Burov, A. S. Shurup, O. D. Rumyantseva & D. I. Zotov

Authors
  1. V. A. Burov
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  2. A. S. Shurup
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  3. O. D. Rumyantseva
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  4. D. I. Zotov
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Corresponding author

Correspondence to V. A. Burov.

Additional information

Original Russian Text © V.A. Burov, A.S. Shurup, O.D. Rumyantseva, D.I. Zotov, 2012, published in Izvestiya Rossiiskoi Akademii Nauk. Seriya Fizicheskaya, 2012, Vol. 76, No. 12, pp. 1524–1529.

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Burov, V.A., Shurup, A.S., Rumyantseva, O.D. et al. Functional-analytical solution to an acoustic tomography problem, based on data from point transducers. Bull. Russ. Acad. Sci. Phys. 76, 1365–1370 (2012). https://doi.org/10.3103/S1062873812120064

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  • DOI: https://doi.org/10.3103/S1062873812120064

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