Normal Mode Analysis of the Nonlinear Acoustic Wave Equation

Authors

  • Mohamed Ibrahim Ahmed OTHMAN Department of Mathematics, Faculty of Science, Zagazig University, Zagazig
  • Mohamed Galal Sayed ALI Department of Physics, Faculty of Science, Minia University
  • Roushdi Mohamed FAROUK Department of Mathematics, Faculty of Science, Zagazig University, Zagazig

Keywords:

Second harmonic, normal mode, tissue, nonlinear, acoustic

Abstract

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

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Author Biographies

Mohamed Ibrahim Ahmed OTHMAN, Department of Mathematics, Faculty of Science, Zagazig University, Zagazig

Department of Mathematics

Mohamed Galal Sayed ALI, Department of Physics, Faculty of Science, Minia University

Department of Physics

Roushdi Mohamed FAROUK, Department of Mathematics, Faculty of Science, Zagazig University, Zagazig

Department of Mathematics

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Published

2013-10-31

How to Cite

OTHMAN, M. I. A., ALI, M. G. S., & FAROUK, R. M. (2013). Normal Mode Analysis of the Nonlinear Acoustic Wave Equation. Walailak Journal of Science and Technology (WJST), 11(4), 341–347. Retrieved from https://wjst.wu.ac.th/index.php/wjst/article/view/366