A Family of Solutions to the Two-Dimensional Eikonal Equation

ABSTRACT

The propagation of a wave from a point source when the velocity \(v\) in the medium is expressed as \(v = \frac {1}{\sqrt y}\) is considered. Exact solutions to the corresponding eikonal equation are obtained and numerically verified. It is shown that the solution of this equation when the point source is at the origin of coordinates is not unique.

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Correspondence to An. G. Marchuk or E. D. Moskalensky.

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Marchuk, A.G., Moskalensky, E.D. A Family of Solutions to the Two-Dimensional Eikonal Equation. Numer. Analys. Appl. 13, 127–135 (2020). https://doi.org/10.1134/S1995423920020044

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Keywords

  • wave propagation
  • wave front
  • eikonal equation
  • point source