Formulas for setting a location of a wavefront propagating in a medium with power dependence of velocity on a coordinate |
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Authors: | E D Moskalensky |
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Institution: | 1. Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences, pr. Akad. Lavrent’eva 6, Novosibirsk, 630090, Russia
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Abstract: | The 2D eikonal equation f x 2 + f y 2 = (ky)2α is considered. If f is its solution, then the relation f(x, y) = C gives a wavefront location. However, obtaining solutions is associated with some difficulties. We develop the earlier proposed technique, which enables us to track a parametric curve to set a wavefront without solving the above equation. |
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