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Generally speaking, when treating wave propagation in an ocean waveguide, the density is assumed to be constant in the media. However, the study report of Hamilton[1] shows that there exists a transition layer in the water-sediment interface, in which the density varies continuously and gradually with depth. The objective of this thesis project is to study the effects of such transition layer on the reflection coefficient and wave propagation in an waveguide environment.The first part of this thesis is to derive the wave equation from the governing equation for compressible fluid using small perturbation method. Then, the wave equation has been solved using the wavenumber integration method. Many results relevant to the problem such as reflection coefficient, wavenumber spectrum are obtained analyzed.The second part is to investigate the effects of the transition layer for reflection coefficient and wave number spectrum for various parameters, followed by the calculation of the transmission loss for the shallow water environment in the simulation of Taiwan strait using existing software OASES.Finally, a general discussion for the acoustic problem encountered in the shallow water ASW (anti-submarine warfare)are provided.-1 aWaveguide Propagation in an Ocean With a Sediment Layer of Continuous Sound-Speed and Density Variations
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