Extended characteristics method in nonlinear geometric acousticsстатья
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Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.
Аннотация: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.