Resonant reflection of waves over sinusoidally varying topographies
Resonant reflection of waves over sinusoidally varying topographies
复制标题
DOI：
--
复制
发表时间：
2000-07
影响因子：
--
通讯作者：
Yong-Sik Cho;Changhoon Lee
中科院分区：
文献类型：
--
作者：
Yong-Sik Cho;Changhoon Lee
本文从理论上研究了单色波在任意地形上的传播。变化的地形首先由有限数量的小台阶表示。然后，通过本征函数展开法，建立了由水深突变引起的单色波绕射的理论模型。该模型不仅考虑了传播模，还考虑了倏逝模。开发的模型应用于研究的布拉格反射的单色波所造成的单正弦变化的地形。还研究了波浪斜入射的影响。模型的解决方案与现有的实验数据进行了比较。该模型也被用来调查布拉格反射的单色波在双正弦变化的地形。计算的反射系数与实验室测量和其他数值结果进行了比较。遵守合理的协议。
The propagation of monochromatic waves over an arbitrarily varying topography is studied theoretically. The varying topography is first represented by a finite number of small steps. A theoretical model is then developed by formulating the diffraction of monochromatic waves by abrupt depth changes, through the eigenfunction expansion method. Not only the propagating mode but also the evanescent modes are included in the model. The model developed is applied to the study of the Bragg reflection of monochromatic waves caused by a singly-sinusoidally varying topography. The effects of the oblique incidence of waves are also investigated. The model solutions are compared with available experimental data. The model is also used to investigate the Bragg reflection of monochromatic waves over a doubly sinusoidally varying topography. The reflection coefficients calculated are compared with laboratory measurements and other numerical results. A reasonable agreement is observed.