Indian Journal of Industrial and Applied Mathematics
  • Year: 2008
  • Volume: 1
  • Issue: 2

High Frequency WKB Approximations for Acoustic Waves in the Ocean

  • Author:
  • F.D. Zaman1,, Zeid I.A. Al-Muhiameed2
  • Total Page Count: 14
  • Published Online: Dec 1, 2008
  • Page Number: 31 to 44

1Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, 31261, Saudi Arabia

2Agricultural Technology College, Burayduh, Saudi Arabia

*Author for Correspondence. E-mail: fzaman@kfupm.edu.sa

Abstract

The aim of this paper is to study acoustic waves in an inhomogeneous ocean assuming high frequency assumption. The commonly considered model of the ocean is with a rigid bottom which is convenient for normal mode analysis. We consider the WKB solution for this model as well as that with a reflecting sea bed satisfying impedance type boundary conditions. The turning point matching is performed for producing a solution valid in the whole domain.

Keywords

76M45, 76Q05, Acoustic waves, High frequency approximation, WKB approximation, Acoustic waveguides