Abstract
Roughness of the water–sediment interface was previously included in the full-wave forward-propagation PE model [Tappert and Nghiem-Phu, Seismo-Acoustics (1988)]. This model has now been used to study the propagation and attenuation of head waves in shallow water. A mean-field theory for the coherent acoustic field has been derived, and an analytical expression for the coherent reflection coefficient has been obtained. This expression has been put into an integral representation for the coherent field, the contribution of the branch point singularity has been extracted, and an analytical expression for head wave attenuation due to rough bottom scattering has been obtained. Using the stochastic PE model, numerical simulations of sound propagation including rough bottom scattering have been used to confirm and extend the analytical theory of head wave attenuation. [Work supported by ONR, Code 1125OA.]
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