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Polish Maritime Research

MODELING OF ACOUSTIC FIELD FOR A PARAMETRIC FOCUSING SOURCE USING THE SPHEROIDAL BEAM EQUATION

Abstract

A theoretical model of acoustic field for a parametric focusing source on concave spherical surface is proposed. In this model, the source boundary conditions of the Spheroidal Beam Equation (SBE) for difference frequency wave excitation were studied. Propagation curves and beam patterns for difference frequency component of the acoustic field are compared with those obtained for Khokhlov-Zabolotskaya-Kuznetsov (KZK) model. The results demonstrate that the focused parametric model of SBE is good valid for a large aperture angle in the strongly focused acoustic field. It is also investigated that high directivity and good focal ability with the decreasing of downshift ratio and the increasing of half-aperture angle for the focused parametric model of SBE.

Keywords:

parametric focusing source, difference frequency wave, SBE, acoustic field

Details

Issue
Vol. 22 No. S1(86) (2015)
Section
Latest Articles
Published
15-10-2015
DOI:
https://doi.org/10.1515/pomr-2015-0031
Licencja:
Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Open Access License

This journal provides immediate open access to its content under the Creative Commons BY 4.0 license. Authors who publish with this journal retain all copyrights and agree to the terms of the CC BY 4.0 license.

 

Authors

  • Lili Yu

    Shanghai Maritime University, Department of Navigation Technology
  • Junhua Li

    Shanghai Maritime University, College of Ocean Science and Engineering
  • Chaojian Shi

    Shanghai Maritime University, Department of Navigation Technology

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