Higher-Order and Elastic Parabolic Equations for Wave Propagation in the Ocean

摘要

A higher-order parabolic equation (PE) based on a Pade series and an elastic PEare applied to wave propagation in the ocean. In contrast to the standard PE models of underwater acoustics, the higher-order PE provides accurate solutions for problems involving arbitrarily long ranges, propagation nearly normal to the preferred direction, and large variations in sound speed. The most important applications of the higher-order PE are for problems involving elastic ocean bottoms. A new numerical approach based on centered differences is applied to handle interface conditions. The accuracy of the elastic PE is demonstrated with benchmark calculations. The elastic PE is applied to a range-dependent propagation problem. Reprints. (jhd)