Extended characteristics method in nonlinear geometric acoustics |
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Authors: | V A Gusev |
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Institution: | 1.Physics Faculty, Department of Acoustics,Moscow State University,Moscow,Russia |
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Abstract: | An asymptotic “extended characteristics method” is developed for solving nonlinear Riemann-type wave equations as applied
to calculating the ray pattern of intense spatially modulated waves in weakly inhomogeneous media. The method makes it possible
to avoid the singularity related to the foci of the initial wavefront, calculate the displacement in foci caused by the inhomogeneity
of the medium, and thus calculate the ray pattern and intensity of the acoustic field. The beauty of the method is an exact
nonlinear transfer equation for the field along the ray and the construction of its general solution for an arbitrary form
of inhomogeneity. It is shown that the method is applicable to calculating the spatial structure of intense focused waves
and wave beams outside the focal region in a nonlinear geometric acoustics approximation. |
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Keywords: | |
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