Higher-Order Bragg Resonance in Gravity Surface Waves over Periodic Bottoms  

作　　者：肖雨濛 陶智勇 王新龙 

机构地区：[1]Institute of Acoustics, Nanjing University, Nanjing 210093

出　　处：《Chinese Physics Letters》2006年第7期1846-1849,共4页中国物理快报（英文版）

基　　金：Supported by the National Science Foundation of China under Grant Nos 19925414 and 10474045, and the Research Fund for the Doctoral Program of Higher Education of China under Grant No 20050284018.

摘　　要：A calculation method based on the Bloch theorem is developed for the gravity surface waves over the periodic bottoms of large undulations. The study shows the existence of comparable high-order bandgaps, which are demonstrated to result from the higher-order Bragg resonances, i.e. the resonant interactions between surface waves and the harmonic components of the fluctuating bottom. It is also shown that the band widths of the high-order gaps are quite sensitive to the amplitudes of high-order harmonics of the bottom.A calculation method based on the Bloch theorem is developed for the gravity surface waves over the periodic bottoms of large undulations. The study shows the existence of comparable high-order bandgaps, which are demonstrated to result from the higher-order Bragg resonances, i.e. the resonant interactions between surface waves and the harmonic components of the fluctuating bottom. It is also shown that the band widths of the high-order gaps are quite sensitive to the amplitudes of high-order harmonics of the bottom.

关 键 词：WATER-WAVES SCATTERING REFLECTION WALLS BEDS 

分 类 号：O42[理学—声学]