Formulas for setting a location of the wavefront propagating in a medium with power dependence of velocity on a coordinate

E. D. Moskalensky

Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: In this paper, the 2D eikonal equation $f_x^2+f_y^2=(ky)^{2\alpha}$ is considered. If $f$ is its solution, the relation $f(x,y)=C$ sets the wavefront location. However, obtaining solutions is associated with some difficulties. In this paper, the author develops the earlier proposed technique that enables the detection of a parametric curve to set the wavefront without solving the above equation.

Key words: wave propagation, eikonal equation.

UDC: 517.958

Received: 18.08.2010

 English version: Numerical Analysis and Applications, 2011, 4:2, 136–144

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