Analytical and Non – analytical Scatterers in Plane Waveguide with Hard Elastic Bottom, Irradiated by Pulse Sound Signal

Alexander Kleshchev

doi:doi:10.11648/j.ajmp.20170604.12

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Analytical and Non – analytical Scatterers in Plane Waveguide with Hard Elastic Bottom, Irradiated by Pulse Sound Signal

Alexander Kleshchev

Published in American Journal of Modern Physics (Volume 6, Issue 4)

Received: 19 May 2017 Accepted: 1 June 2017 Published: 7 July 2017

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Abstract

Based on the method of imagenary sources and imagenary scatterers is the solution of the problem of the sound diffraction by pulse signals at ideal (soft) prolate spheroid, put in the plane waveguide with the hard elastic bottom. In the work is proved that with such a formulation of problems eliminated possibility of using the method of normal waves because pulses are bundies of energy and can therefore only be distributed to the group velocity which is inherent in just the method of imaginary sources. Calculations made in the article shoved that imagenary sources with smail numbers experienci8ng the effect of total internal reflection, as the result of the reflection coefficient V by the hard elastic bottom is complex and the real part of V is close to 1,0 which corresponds V absolutely hard bottom. Found sequences of reflected pulses for the elastic hard bottom and the absolutely hard bottom floor confirmed this approach. In the final part of the arti8cle on the basis of the received results given by a solution (the method integral equations) is much more complex problem of the diffraction at the elastic non-analytical scatterer, put in the plane waveguide witch the hard elastic bottom.

Published in	American Journal of Modern Physics (Volume 6, Issue 4)
DOI	10.11648/j.ajmp.20170604.12
Page(s)	51-55
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), 2017. Published by Science Publishing Group

Keywords

Scatterer, Prolate Spheroid, Imaginary Source, Diffraction, Elastic Hard Bottom, Boundary Conditions, Group Velocity, Phase Velocity

References

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[4]	Kleshchev A. A. Diffraction of Pulse Sound Signals on Elastic Spheroidal Shell, Put in Plane Waveguide. / Advanced Studies in Theoretical Physics. 2013. V. 7. № 13 – 16/ P. 697–705.
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[6]	Kleshchev A. A. Pulse Sound Signals Diffraction on Elastic Bodies of Аnalytical and Nonana-lytical Forms, Put in Plane Waveguide. / Zeitschrift fur Naturforschung A. 2015. V. 70. № 6. P. 419–427.
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APA Style

Alexander Kleshchev. (2017). Analytical and Non – analytical Scatterers in Plane Waveguide with Hard Elastic Bottom, Irradiated by Pulse Sound Signal. American Journal of Modern Physics, 6(4), 51-55. https://doi.org/10.11648/j.ajmp.20170604.12

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ACS Style

Alexander Kleshchev. Analytical and Non – analytical Scatterers in Plane Waveguide with Hard Elastic Bottom, Irradiated by Pulse Sound Signal. Am. J. Mod. Phys. 2017, 6(4), 51-55. doi: 10.11648/j.ajmp.20170604.12

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AMA Style

Alexander Kleshchev. Analytical and Non – analytical Scatterers in Plane Waveguide with Hard Elastic Bottom, Irradiated by Pulse Sound Signal. Am J Mod Phys. 2017;6(4):51-55. doi: 10.11648/j.ajmp.20170604.12

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@article{10.11648/j.ajmp.20170604.12,
  author = {Alexander Kleshchev},
  title = {Analytical and Non – analytical Scatterers in Plane Waveguide with Hard Elastic Bottom, Irradiated by Pulse Sound Signal},
  journal = {American Journal of Modern Physics},
  volume = {6},
  number = {4},
  pages = {51-55},
  doi = {10.11648/j.ajmp.20170604.12},
  url = {https://doi.org/10.11648/j.ajmp.20170604.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20170604.12},
  abstract = {Based on the method of imagenary sources and imagenary scatterers is the solution of the problem of the sound diffraction by pulse signals at ideal (soft) prolate spheroid, put in the plane waveguide with the hard elastic bottom. In the work is proved that with such a formulation of problems eliminated possibility of using the method of normal waves because pulses are bundies of energy and can therefore only be distributed to the group velocity which is inherent in just the method of imaginary sources. Calculations made in the article shoved that imagenary sources with smail numbers experienci8ng the effect of total internal reflection, as the result of the reflection coefficient V by the hard elastic bottom is complex and the real part of V is close to 1,0 which corresponds V absolutely hard bottom. Found sequences of reflected pulses for the elastic hard bottom and the absolutely hard bottom floor confirmed this approach. In the final part of the arti8cle on the basis of the received results given by a solution (the method integral equations) is much more complex problem of the diffraction at the elastic non-analytical scatterer, put in the plane waveguide witch the hard elastic bottom.},
 year = {2017}
}

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TY  - JOUR
T1  - Analytical and Non – analytical Scatterers in Plane Waveguide with Hard Elastic Bottom, Irradiated by Pulse Sound Signal
AU  - Alexander Kleshchev
Y1  - 2017/07/07
PY  - 2017
N1  - https://doi.org/10.11648/j.ajmp.20170604.12
DO  - 10.11648/j.ajmp.20170604.12
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 51
EP  - 55
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20170604.12
AB  - Based on the method of imagenary sources and imagenary scatterers is the solution of the problem of the sound diffraction by pulse signals at ideal (soft) prolate spheroid, put in the plane waveguide with the hard elastic bottom. In the work is proved that with such a formulation of problems eliminated possibility of using the method of normal waves because pulses are bundies of energy and can therefore only be distributed to the group velocity which is inherent in just the method of imaginary sources. Calculations made in the article shoved that imagenary sources with smail numbers experienci8ng the effect of total internal reflection, as the result of the reflection coefficient V by the hard elastic bottom is complex and the real part of V is close to 1,0 which corresponds V absolutely hard bottom. Found sequences of reflected pulses for the elastic hard bottom and the absolutely hard bottom floor confirmed this approach. In the final part of the arti8cle on the basis of the received results given by a solution (the method integral equations) is much more complex problem of the diffraction at the elastic non-analytical scatterer, put in the plane waveguide witch the hard elastic bottom.
VL  - 6
IS  - 4
ER  -

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Author Information

Alexander Kleshchev

Department of Physics, Saint-Petersburg State Navy Technical University, Saint-Petersburg, Russia

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Plain Text BibTeX RIS

APA Style

Alexander Kleshchev. (2017). Analytical and Non – analytical Scatterers in Plane Waveguide with Hard Elastic Bottom, Irradiated by Pulse Sound Signal. American Journal of Modern Physics, 6(4), 51-55. https://doi.org/10.11648/j.ajmp.20170604.12

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ACS Style

Alexander Kleshchev. Analytical and Non – analytical Scatterers in Plane Waveguide with Hard Elastic Bottom, Irradiated by Pulse Sound Signal. Am. J. Mod. Phys. 2017, 6(4), 51-55. doi: 10.11648/j.ajmp.20170604.12

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AMA Style

Alexander Kleshchev. Analytical and Non – analytical Scatterers in Plane Waveguide with Hard Elastic Bottom, Irradiated by Pulse Sound Signal. Am J Mod Phys. 2017;6(4):51-55. doi: 10.11648/j.ajmp.20170604.12

Copy | Download

@article{10.11648/j.ajmp.20170604.12,
  author = {Alexander Kleshchev},
  title = {Analytical and Non – analytical Scatterers in Plane Waveguide with Hard Elastic Bottom, Irradiated by Pulse Sound Signal},
  journal = {American Journal of Modern Physics},
  volume = {6},
  number = {4},
  pages = {51-55},
  doi = {10.11648/j.ajmp.20170604.12},
  url = {https://doi.org/10.11648/j.ajmp.20170604.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20170604.12},
  abstract = {Based on the method of imagenary sources and imagenary scatterers is the solution of the problem of the sound diffraction by pulse signals at ideal (soft) prolate spheroid, put in the plane waveguide with the hard elastic bottom. In the work is proved that with such a formulation of problems eliminated possibility of using the method of normal waves because pulses are bundies of energy and can therefore only be distributed to the group velocity which is inherent in just the method of imaginary sources. Calculations made in the article shoved that imagenary sources with smail numbers experienci8ng the effect of total internal reflection, as the result of the reflection coefficient V by the hard elastic bottom is complex and the real part of V is close to 1,0 which corresponds V absolutely hard bottom. Found sequences of reflected pulses for the elastic hard bottom and the absolutely hard bottom floor confirmed this approach. In the final part of the arti8cle on the basis of the received results given by a solution (the method integral equations) is much more complex problem of the diffraction at the elastic non-analytical scatterer, put in the plane waveguide witch the hard elastic bottom.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - Analytical and Non – analytical Scatterers in Plane Waveguide with Hard Elastic Bottom, Irradiated by Pulse Sound Signal
AU  - Alexander Kleshchev
Y1  - 2017/07/07
PY  - 2017
N1  - https://doi.org/10.11648/j.ajmp.20170604.12
DO  - 10.11648/j.ajmp.20170604.12
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 51
EP  - 55
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20170604.12
AB  - Based on the method of imagenary sources and imagenary scatterers is the solution of the problem of the sound diffraction by pulse signals at ideal (soft) prolate spheroid, put in the plane waveguide with the hard elastic bottom. In the work is proved that with such a formulation of problems eliminated possibility of using the method of normal waves because pulses are bundies of energy and can therefore only be distributed to the group velocity which is inherent in just the method of imaginary sources. Calculations made in the article shoved that imagenary sources with smail numbers experienci8ng the effect of total internal reflection, as the result of the reflection coefficient V by the hard elastic bottom is complex and the real part of V is close to 1,0 which corresponds V absolutely hard bottom. Found sequences of reflected pulses for the elastic hard bottom and the absolutely hard bottom floor confirmed this approach. In the final part of the arti8cle on the basis of the received results given by a solution (the method integral equations) is much more complex problem of the diffraction at the elastic non-analytical scatterer, put in the plane waveguide witch the hard elastic bottom.
VL  - 6
IS  - 4
ER  -

Copy | Download