Evolution of Wave Field Jumps Near Caustics (Elementary Approach)

M. I. Belishev,A. Ya. Kazakov,A. F. Vakulenko

Journal of Mathematical Sciences（2017）

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摘要

The Poisson formula solving the 3-dim Cauchy problem for the wave equation is applied to the study of the behavior of wave field singularities (jumps) near caustics in the 2-dim and 3-dim cases. A quite elementary approach enables one to describe focusing effects in detail.

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