Email this article Evolution of Wave Field Jumps Near Caustics (Elementary Approach)
- Authors: Belishev M.I.1, Kazakov A.Y.2, Vakulenko A.F.3
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Affiliations:
- St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg University
- St. Petersburg State University of Technology and Design, St. Petersburg State University of Aerospace Instrumentation
- St. Petersburg Department of the Steklov Mathematical Institute
- Issue: Vol 224, No 1 (2017)
- Pages: 27-46
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/239473
- DOI: https://doi.org/10.1007/s10958-017-3391-7
- ID: 239473
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Abstract
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.
About the authors
M. I. Belishev
St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg University
Author for correspondence.
Email: belishev@pdmi.ras.ru
Russian Federation, St. Petersburg
A. Ya. Kazakov
St. Petersburg State University of Technology and Design, St. Petersburg State University of Aerospace Instrumentation
Email: belishev@pdmi.ras.ru
Russian Federation, St. Petersburg
A. F. Vakulenko
St. Petersburg Department of the Steklov Mathematical Institute
Email: belishev@pdmi.ras.ru
Russian Federation, St. Petersburg
