Use of Two-Dimensional Orthogonal Function Expansions to Model Ocean Bathymetricand Sound-Speed Data in the Recursive Ray Acoustics Algorithm

摘要

The two dimensional orthogonal function expansion technique was used to modeldiscrete ocean bathymetric data as a function of cross range and down range, and to model discrete sound speed data as a function of depth and down range. It was shown to have many positive features, but the approach is flawed by the set of generating functions that were selected. A reflection angle algorithm for arbitrary two dimensional ocean bottom models was tested and validated, and was found to be accurate. Computer simulations of acoustic ray interaction with various two dimensional ocean bottoms modeled with the orthogonal function expansion and using the reflection angle algorithm were also conducted.