On the convergence of the amplitude of the diffracted nonstationary wave in scattering by wedges

被引：0

作者：

A. E. Choque Rivero

Yu. I. Karlovich

A. E. Merzon

P. N. Zhevandrov

机构：

[1] University of Michoacán,Institute of Physics and Mathematics

[2] Autonomous University of the State of Morelos,Faculty of Sciences

[3] University of Michoacán,Institute of Physics and Mathematics

[4] University of La Sabana,Faculty of Engineering

[5] University of Michoacán,Faculty of Physics and Mathematics

来源：

Russian Journal of Mathematical Physics | 2012年 / 19卷

关键词：

Mathematical Physic; Incident Wave; Neumann Boundary Condition; Cylindrical Wave; Plane Harmonic Wave;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We make more precise the Limiting Amplitude Principle in the two-dimensional scattering of an incident plane harmonic wave by a wedge. We find the long-time asymptotic regime of convergence of the amplitude of the cylindrical wave diffracted by the vertex of a wedge to the limiting amplitude of the solution to the corresponding stationary problem. The asymptotics turns out to be uniform on compacta and depends on the magnitude of the wedge and the profile of the incident wave. The cases of Dirichlet-Dirichlet and Dirichlet-Neumann boundary conditions are considered.

引用

页码：373 / 384

页数：11

共 17 条

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