Verification of a parabolic equation for propagation of weakly-nonlinear waves |
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Authors: | James T Kirby Robert A Dalrymple |
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Institution: | 1. Marine Sciences Research Center, State University of New York at Stony Brook, Stony Brook, NY 11794 U.S.A.;2. Department of Civil Engineering, University of Delaware, Newark, DE 19711 U.S.A. |
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Abstract: | Verification tests of linear wave propagation models for cases of waves propagating through a refractive focus typically overpredict peak amplitudes in the vicinity of the focus. Using a parabolic equation model for the combined refraction-diffraction of weakly-nonlinear waves valid for Ursell number Ur < O(1)], we show that, in a particular experiment, much of the discrepancy between laboratory measurements and linear wave model predictions can be accounted for by including the effect of nonlinearity, which is important in the region of the focus. |
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