Отправить статью по E-mail Evolution of Wave Field Jumps Near Caustics (Elementary Approach)
- Авторы: Belishev M.I.1, Kazakov A.Y.2, Vakulenko A.F.3
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Учреждения:
- 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
- Выпуск: Том 224, № 1 (2017)
- Страницы: 27-46
- Раздел: 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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Аннотация
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.
Об авторах
M. Belishev
St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg University
Автор, ответственный за переписку.
Email: belishev@pdmi.ras.ru
Россия, St. Petersburg
A. Kazakov
St. Petersburg State University of Technology and Design, St. Petersburg State University of Aerospace Instrumentation
Email: belishev@pdmi.ras.ru
Россия, St. Petersburg
A. Vakulenko
St. Petersburg Department of the Steklov Mathematical Institute
Email: belishev@pdmi.ras.ru
Россия, St. Petersburg
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