Modeling of Acoustic Field for a Parametric Focusing Source Using the Spheroidal Beam Equation
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 differe...
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Online Access: | https://doi.org/10.1515/pomr-2015-0031 |
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doaj-f66ec2a5fcd14544988bc5d8723f2bd32021-09-05T13:59:48ZengSciendoPolish Maritime Research2083-74292015-09-0122s1434710.1515/pomr-2015-0031pomr-2015-0031Modeling of Acoustic Field for a Parametric Focusing Source Using the Spheroidal Beam EquationYu Lili0Li Junhua1Shi Chaojian2Department of Navigation Technology, Shanghai Maritime University, Shanghai, ChinaCollege of Ocean Science and Engineering, Shanghai Maritime University, Shanghai, ChinaDepartment of Navigation Technology, Shanghai Maritime University, Shanghai, ChinaA 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.https://doi.org/10.1515/pomr-2015-0031parametric focusing sourcedifference frequency wavesbeacoustic field |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Yu Lili Li Junhua Shi Chaojian |
spellingShingle |
Yu Lili Li Junhua Shi Chaojian Modeling of Acoustic Field for a Parametric Focusing Source Using the Spheroidal Beam Equation Polish Maritime Research parametric focusing source difference frequency wave sbe acoustic field |
author_facet |
Yu Lili Li Junhua Shi Chaojian |
author_sort |
Yu Lili |
title |
Modeling of Acoustic Field for a Parametric Focusing Source Using the Spheroidal Beam Equation |
title_short |
Modeling of Acoustic Field for a Parametric Focusing Source Using the Spheroidal Beam Equation |
title_full |
Modeling of Acoustic Field for a Parametric Focusing Source Using the Spheroidal Beam Equation |
title_fullStr |
Modeling of Acoustic Field for a Parametric Focusing Source Using the Spheroidal Beam Equation |
title_full_unstemmed |
Modeling of Acoustic Field for a Parametric Focusing Source Using the Spheroidal Beam Equation |
title_sort |
modeling of acoustic field for a parametric focusing source using the spheroidal beam equation |
publisher |
Sciendo |
series |
Polish Maritime Research |
issn |
2083-7429 |
publishDate |
2015-09-01 |
description |
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. |
topic |
parametric focusing source difference frequency wave sbe acoustic field |
url |
https://doi.org/10.1515/pomr-2015-0031 |
work_keys_str_mv |
AT yulili modelingofacousticfieldforaparametricfocusingsourceusingthespheroidalbeamequation AT lijunhua modelingofacousticfieldforaparametricfocusingsourceusingthespheroidalbeamequation AT shichaojian modelingofacousticfieldforaparametricfocusingsourceusingthespheroidalbeamequation |
_version_ |
1717812980071006208 |