Abstract

Equations of Nonlinear Acoustics and Weak Shock Propagation

K.Castor, W.A.Kuperman (Scripps Institute of Oceanography, University of California San Diego, La Jolla, CA, USA); B.E.Mcdonald (US Naval Research Laboratory, Washington DC, USA)

e-mail: kaelig@mpl.ucsd.edu

The Nonlinear Progressive Wave Equation (NPE) was developed in the 1980's and 1990's as a time domain model for long range shock propagation [McDonald and Kuperman, J. Acoust. Soc. Am. 81, 1406, 1987]. Its form is quite different from the KZK equation [Zabolotskaya and Khokhlov, Sov. Phys.-Acoust. 15, 35, 1969]. We demonstrate that the NPE and the KZK equation are equivalent within their respective approximations. We give sample calculations with the NPE which demonstrate the motivation for its development. The examples illustrate self refraction and nonlinear dispersion in an ocean waveguide.

Section : 1