Abstract
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.
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References
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© 1986 Plenum Press, New York
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Gilbert, K.E., Evans, R.B. (1986). A Green’s Function Method for One-Way Wave Propagation in a Range-Dependent Ocean Environment. In: Akal, T., Berkson, J.M. (eds) Ocean Seismo-Acoustics. NATO Conference Series, vol 16. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-2201-6_3
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DOI: https://doi.org/10.1007/978-1-4613-2201-6_3
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4612-9293-7
Online ISBN: 978-1-4613-2201-6
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