Boundary Integral Equation and the Problem of Diffraction by a Curved Surface for the Parabolic Equation of Diffraction Theory
- Авторы: Shanin A.1, Korolkov A.1
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Учреждения:
- Moscow Lomonosov State University
- Выпуск: Том 226, № 6 (2017)
- Страницы: 817-830
- Раздел: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/240077
- DOI: https://doi.org/10.1007/s10958-017-3569-z
- ID: 240077
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Аннотация
The 2D problem of diffraction by a curved surface with ideal boundary conditions is considered in terms of the parabolic equation of diffraction theory. A boundary integral equation of Volterra type in Cartesian coordinates is introduced. Using the latter, the problem of diffraction by a parabola is analyzed. It is shown that the solution of this problem coincides with the asymptotic solution for the problem of diffraction by a cylinder obtained by V. A. Fock. The Efficiency of the numerical solution of the boundary integral equation is demonstrated for diffraction on a perturbation of a straight boundary.
Об авторах
A. Shanin
Moscow Lomonosov State University
Автор, ответственный за переписку.
Email: a.v.shanin@gmail.com
Россия, Moscow
A. Korolkov
Moscow Lomonosov State University
Email: a.v.shanin@gmail.com
Россия, Moscow