Normal Mode Analysis of the Nonlinear Acoustic Wave Equation

Second-harmonic generation in non-linear media is investigated. A normal mode analysis is proposed based on the Westervelt equation under the second-order approximation in nonlinear acoustics. This model takes into consideration attenuation, diffraction and nonlinear effects, together with dispersi...

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Main Authors:	Mohamed Ibrahim Ahmed OTHMAN, Mohamed Galal Sayed ALI, Roushdi Mohamed FAROUK
Format:	Article
Language:	English
Published:	Walailak University 2013-10-01
Series:	Walailak Journal of Science and Technology
Subjects:	Second harmonic normal mode tissue nonlinear acoustic
Online Access:	http://wjst.wu.ac.th/index.php/wjst/article/view/366

id	doaj-ef5c716317304c27ae71991d24ccf4a2
record_format	Article
spelling	doaj-ef5c716317304c27ae71991d24ccf4a22020-11-25T02:25:47ZengWalailak UniversityWalailak Journal of Science and Technology1686-39332228-835X2013-10-0111410.2004/wjst.v11i4.366347Normal Mode Analysis of the Nonlinear Acoustic Wave EquationMohamed Ibrahim Ahmed OTHMAN0Mohamed Galal Sayed ALI1Roushdi Mohamed FAROUK2Department of Mathematics, Faculty of Science, Zagazig University, ZagazigDepartment of Physics, Faculty of Science, Minia UniversityDepartment of Mathematics, Faculty of Science, Zagazig University, Zagazig Second-harmonic generation in non-linear media is investigated. A normal mode analysis is proposed based on the Westervelt equation under the second-order approximation in nonlinear acoustics. This model takes into consideration attenuation, diffraction and nonlinear effects, together with dispersion. The fundamental and second harmonic is examined. The derived method is evaluated by 2-D analytical formulas which apply to tissue medium. doi:10.14456/WJST.2014.48 http://wjst.wu.ac.th/index.php/wjst/article/view/366Second harmonicnormal modetissuenonlinearacoustic
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Mohamed Ibrahim Ahmed OTHMAN Mohamed Galal Sayed ALI Roushdi Mohamed FAROUK
spellingShingle	Mohamed Ibrahim Ahmed OTHMAN Mohamed Galal Sayed ALI Roushdi Mohamed FAROUK Normal Mode Analysis of the Nonlinear Acoustic Wave Equation Walailak Journal of Science and Technology Second harmonic normal mode tissue nonlinear acoustic
author_facet	Mohamed Ibrahim Ahmed OTHMAN Mohamed Galal Sayed ALI Roushdi Mohamed FAROUK
author_sort	Mohamed Ibrahim Ahmed OTHMAN
title	Normal Mode Analysis of the Nonlinear Acoustic Wave Equation
title_short	Normal Mode Analysis of the Nonlinear Acoustic Wave Equation
title_full	Normal Mode Analysis of the Nonlinear Acoustic Wave Equation
title_fullStr	Normal Mode Analysis of the Nonlinear Acoustic Wave Equation
title_full_unstemmed	Normal Mode Analysis of the Nonlinear Acoustic Wave Equation
title_sort	normal mode analysis of the nonlinear acoustic wave equation
publisher	Walailak University
series	Walailak Journal of Science and Technology
issn	1686-3933 2228-835X
publishDate	2013-10-01
description	Second-harmonic generation in non-linear media is investigated. A normal mode analysis is proposed based on the Westervelt equation under the second-order approximation in nonlinear acoustics. This model takes into consideration attenuation, diffraction and nonlinear effects, together with dispersion. The fundamental and second harmonic is examined. The derived method is evaluated by 2-D analytical formulas which apply to tissue medium. doi:10.14456/WJST.2014.48
topic	Second harmonic normal mode tissue nonlinear acoustic
url	http://wjst.wu.ac.th/index.php/wjst/article/view/366
work_keys_str_mv	AT mohamedibrahimahmedothman normalmodeanalysisofthenonlinearacousticwaveequation AT mohamedgalalsayedali normalmodeanalysisofthenonlinearacousticwaveequation AT roushdimohamedfarouk normalmodeanalysisofthenonlinearacousticwaveequation
_version_	1724850212001808384

Normal Mode Analysis of the Nonlinear Acoustic Wave Equation

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