Abstract
The split‐step algorithm introduced by Tappert and Nghiem‐Phu [J. Acoust. Soc. Am. Suppl. 1 77, S101 (1985)] for solving the parabolic wave equation (PE) with 1‐D rough surfaces subject to the pressure release boundary condition has been implemented. For an incident beam approaching the rough surface from below, the computational region is doubled to include an “image ocean” above the real ocean. A complicated index of refraction is constructed in the image ocean (dependent on the rough surface) so that the image beam and the incident beam combine to give a zero total field on the rough surface. The computed field below the rough surface should then be the solution desired. The details of this method will be outlined. Examples will be presented showing that the split‐step solution is identical to that obtained with a PE integral equation approach. Comparisons will also be made between the split‐step and exact integral equation solutions, showing the effect of the PE approximation in rough surface scattering. [Work supported by ONR.]
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