Green's Function Method for One-Way Wave Propagation in a Range-Dependent Ocean Environment

摘要

A Green's function method (e.g., the Fast Field Program) is an accurate and flexible way to compute wave propagation in a horizontally stratified environment. However, there has been no exact theory for applying the Green's function approach to one-way wave propagation in a range-dependent environment. This paper derives a generalized Green's function method for exactly solving the one-way wave equation in an environment that varies discretely in range. The derivation leads to a depth-separated inhomogeneous elliptic wave equation, which has a vertical source distribution for the inhomogeneous term. On a given range step, the source distribution is the acoustic field at the end of the previous step. It is shown numerically that the method gives an accurate solution for one-way propagation.