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Wavefront evolution of a plane wave passing through an area with heterogeneities

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Abstract

A two-dimensional eikonal equation with the right-hand side tending to unity as the distance from the origin of coordinates tends to infinity is considered. Some formulas describing the wavefront in such a medium are obtained.

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References

  1. Moskalensky, E.D., Finding Exact Solutions to the Two-Dimensional Eikonal Equation, Sib. Zh. Vych. Mat., 2009, vol. 12, no. 2, pp. 201–209.

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  2. Fichtenholz, G.M., Kurs differentsial’nogo i integral’nogo ischisleniya (A Course of Differential and Integral Calculus), Moscow: Nauka, 1969.

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Authors and Affiliations

  1. Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences, pr. Akad. Lavrent’eva 6, Novosibirsk, 630090, Russia

    E. D. Moskalensky

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  1. E. D. Moskalensky
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Original Russian Text © E.D. Moskalensky, 2012, published in Sibirskii Zhurnal Vychislitel’noi Matematiki, 2012, Vol. 15, No. 4, pp. 387–392.

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Moskalensky, E.D. Wavefront evolution of a plane wave passing through an area with heterogeneities. Numer. Analys. Appl. 5, 320–325 (2012). https://doi.org/10.1134/S1995423912040040

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  • DOI: https://doi.org/10.1134/S1995423912040040

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