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Scattering of Retarded Wave Fields by a Point Acoustic Inhomogeneity

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

Abstract

The scattering of a monochromatic wave by an inhomogeneity with the small wave size is considered. The scattering coefficients are introduced, and sets of their allowable values are obtained with and without absorption inside the inhomogeneity. The solution to the inverse scattering problem is analyzed for different values of the scattering coefficients, from the viewpoint of the adequacy of the reconstruction result and its stability.

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REFERENCES

  1. Burov, V.A. and Morozov, S.A., Acoust. Phys., 2001, vol. 47, no. 6, p. 659.

    Article  ADS  Google Scholar 

  2. Dmitriev, K.V., Acoust. Phys., 2015, vol. 61, no. 6, p. 623.

    Article  ADS  Google Scholar 

  3. Dmitriev, K.V., Acoust. Phys., 2018, vol. 64, no. 2, p. 131.

    Article  ADS  Google Scholar 

  4. Dmitriev, K.V., Bull. Russ. Acad. Sci.: Phys., 2015, vol. 79, no. 12, p. 1488.

    Article  Google Scholar 

  5. Novikov, R.G., Eurasian J.Math. Comput. Appl., 2018, vol. 6, no. 1, p. 52.

    Google Scholar 

  6. Burov, V.A. and Rumyantseva, O.D., Acoust. Phys., 2003, vol. 49, no. 5, p. 496.

    Article  ADS  Google Scholar 

  7. Badalyan, N.P., Burov, V.A., Morozov, S.A., and Rumyantseva, O.D., Acoust. Phys., 2009, vol. 55, no. 1, p. 1.

    Article  ADS  Google Scholar 

  8. https://hal.archives-ouvertes.fr/hal-01570494.

  9. Novikov, R.G., Phys. Lett. A, 1998, vol. 238, nos. 2–3, p. 73.

    Article  ADS  MathSciNet  Google Scholar 

  10. Novikov, R.G., Proc. Steklov Inst. Math., 1999, vol. 225, p. 285.

    Google Scholar 

  11. Burov, V.A., Alekseenko, N.V., and Rumyantseva, O.D., Acoust. Phys., 2009, vol. 55, no. 6, p. 843.

    Article  ADS  Google Scholar 

  12. Burov, V.A., Grishina, I.M., Lapshenkina, O.I., Morozov, S.A., Rumyantseva, O.D., and Sukhov, E.G., Acoust. Phys., 2003, vol. 49, no. 6, p. 627.

    Article  ADS  Google Scholar 

  13. Burov, V.A., Vecherin, S.N., Morozov, S.A., and Rumyantseva, O.D., Acoust. Phys., 2010, vol. 56, no. 4, p. 541.

    Article  ADS  Google Scholar 

  14. Babich, V.M., Kapilevich, M.B., Mikhlin, S.G., et al., Lineinye uravneniya matematicheskoi fiziki. Spravochnaya matematicheskaya biblioteka (Linear Equations of Mathematical Physics. Mathematical Reference Library), Moscow: Nauka, 1964.

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Funding

This work was supported by the Russian Science Foundation, project no. 19-12-00098.

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Authors and Affiliations

  1. Faculty of Physics, Moscow State University, 119991, Moscow, Russia

    K. V. Dmitriev, E. V. Fadeev & O. D. Rumyantseva

Authors
  1. K. V. Dmitriev
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  2. E. V. Fadeev
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  3. O. D. Rumyantseva
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Corresponding author

Correspondence to O. D. Rumyantseva.

Additional information

Translated by N. Podymova

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Dmitriev, K.V., Fadeev, E.V. & Rumyantseva, O.D. Scattering of Retarded Wave Fields by a Point Acoustic Inhomogeneity. Bull. Russ. Acad. Sci. Phys. 84, 210–214 (2020). https://doi.org/10.3103/S1062873820020094

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  • DOI: https://doi.org/10.3103/S1062873820020094

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