American Journal of Modern Physics

| Peer-Reviewed |

Green’s Functions Method in Problems of Sound Diffraction

Received: 19 May 2017    Accepted: 02 June 2017    Published: 07 July 2017
Views:       Downloads:

Share This Article

Abstract

Initially, the Green’s functions method was used to solve the problem of the sound scattering on ideal scatterers with mixed boundary conditions. It was later applied to the sound diffraction studies on ideal and elastic bodies of the non-analytical form.

DOI 10.11648/j.ajmp.20170604.13
Published in American Journal of Modern Physics (Volume 6, Issue 4, July 2017)
Page(s) 56-65
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Diffraction, Green’s Functions, Non-analytical Form, Boundary Conditions

References
[1] A. Sommerfeld. Differential equations in partial derivatives of the physics. Moscow: IL, 1950 [in Russian].
[2] M. I. Karnovskyi, V. G. Lozovik. Acoust. journal. 10, 313 (1964).
[3] M. I. Karnovskyi, V. G. Lozovik. Acoust. journal. 11, 176 (1965).
[4] A. A. Kleshchev. J. Mar. Gazette. 2, 94 (2013).
[5] E. B. Itkina, A. A. Kleshchev. Acoust. journal. 28, 414 (1982).
[6] A. A. Kleshchev. Acoust. journal. 20. 632(1974).
[7] A. A. Kleshchev. Proc. LKI. Acoustics of ships and oceans. 19(1984).
[8] E. Skuchik. Principles of acoustics. Moscow: Mir. V. 1, 1974 [in Russian].
[9] H. Hoenl, A. Maue and K. Westppfahl. Theorie der beugung. Berlin: Springer, 1961.
[10] A. A. Kleshchev, Hydroacoustic scatterers. St. Petersburg. Prima, 2012 [in Russian].
[11] A. A. Kleshchev. I. J. M. A., 2, 124 (2012).
[12] A. A. Kleshchev, Tr. LKI “The Сommon Ship’s Systems”. 95 (1989).
[13] A. E. Seybert, T. W. Wu and X. F. Wu X. F, J. Acoust. Soc. Am. 84, 1906 (1988).
[14] A. A. Kleshchev. Zeit. Fur Naturf. A. 6, 419 (2015).
[15] K. Brebbia, C. Walker. Application of the boundary element method in engineering. Moscow: Mir, 1982 [in Russian].
[16] V. D. Kupradzc. Methods of potentials in the theory of elasticity. Moscow: Fizmat-giz, 1963 [in Russian].
[17] J.-H. Su, V. V. Varadan, V. K. Varadan, L. J. Flax. Acoust. Soc. Am. 68. 685(1980).
[18] A. Yu. Dushin, S. L. Il’mcnkov, A. A. Kleshchev, V. A. Postnov. Proc. of Symp. Tallinn. 89(1989).
[19] B. Peterson, S. Strom. J. Acoust. Soc. Am. 57. 2(1975)..
[20] S. K. Numrich, V. V. Varadan, V. K. Varadan. J. Acoust. Soc. Am. 70. 1407(1981).
[21] A. A. Kleshchev. J. of Techn. Acoust. 2. 65 (1993).
[22] S. L. Il’menkov. Proc. of the IV Far Eastern conference on acoustics. Vladivostok. 73 (1986).
[23] A. A. Kleshchev, I. I. Klukin. Principles of hydroacoustic. Leningrad: Shipbuilding, 1987 [in Russian].
[24] A. A. Kleshchev. Diffraction and propagation of waves ineElastic mediums and Bo-dies. St.-Petersburg. Vlas, 2002 [in Russian].
[25] S. L. Il’menkov, A. A. Kleshchev. A. S. P. 2.50(2014).
[26] S. L. Il’menkov, A. A. Kleshchev, A. S. Klimenkov, F. F. Legusha, V. S. Mayorov, G. V. Chizhov, V. Yu. Chizhov. Proc. XXVII session RAO. 1(2014).
[27] S. L. Il’menkov, A. A. Kleshchev, A. S. Klimenkov. Phys. Acoust.. 60. 617(2014).
[28] A. A. Kleshchev, S. A. Klimenkov. A. S. P. 1. 68(2013).
[29] A. A. Kleshchev. Diffraction, radiation and propagation of elastic waves. St.-Pe-Tersburg: Profprint, 2006 [in Russian].
[30] A. A. Kleshchev. Phys. Acoust. 58, 338 (2012).
Author Information
  • Department of Physics, Saint-Petersburg State Navy Technical University, Saint-Petersburg, Russia

Cite This Article
  • APA Style

    Alexander Kleshchev. (2017). Green’s Functions Method in Problems of Sound Diffraction. American Journal of Modern Physics, 6(4), 56-65. https://doi.org/10.11648/j.ajmp.20170604.13

    Copy | Download

    ACS Style

    Alexander Kleshchev. Green’s Functions Method in Problems of Sound Diffraction. Am. J. Mod. Phys. 2017, 6(4), 56-65. doi: 10.11648/j.ajmp.20170604.13

    Copy | Download

    AMA Style

    Alexander Kleshchev. Green’s Functions Method in Problems of Sound Diffraction. Am J Mod Phys. 2017;6(4):56-65. doi: 10.11648/j.ajmp.20170604.13

    Copy | Download

  • @article{10.11648/j.ajmp.20170604.13,
      author = {Alexander Kleshchev},
      title = {Green’s Functions Method in Problems of Sound Diffraction},
      journal = {American Journal of Modern Physics},
      volume = {6},
      number = {4},
      pages = {56-65},
      doi = {10.11648/j.ajmp.20170604.13},
      url = {https://doi.org/10.11648/j.ajmp.20170604.13},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ajmp.20170604.13},
      abstract = {Initially, the Green’s functions method was used to solve the problem of the sound scattering on ideal scatterers with mixed boundary conditions. It was later applied to the sound diffraction studies on ideal and elastic bodies of the non-analytical form.},
     year = {2017}
    }
    

    Copy | Download

  • TY  - JOUR
    T1  - Green’s Functions Method in Problems of Sound Diffraction
    AU  - Alexander Kleshchev
    Y1  - 2017/07/07
    PY  - 2017
    N1  - https://doi.org/10.11648/j.ajmp.20170604.13
    DO  - 10.11648/j.ajmp.20170604.13
    T2  - American Journal of Modern Physics
    JF  - American Journal of Modern Physics
    JO  - American Journal of Modern Physics
    SP  - 56
    EP  - 65
    PB  - Science Publishing Group
    SN  - 2326-8891
    UR  - https://doi.org/10.11648/j.ajmp.20170604.13
    AB  - Initially, the Green’s functions method was used to solve the problem of the sound scattering on ideal scatterers with mixed boundary conditions. It was later applied to the sound diffraction studies on ideal and elastic bodies of the non-analytical form.
    VL  - 6
    IS  - 4
    ER  - 

    Copy | Download

  • Sections