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

Chin. Phys. Lett.

2006, Vol. 23

Issue (7): 1846-1849 DOI:

Original Articles

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

XIAO Yu-Meng;TAO Zhi-Yong;WANG Xin-Long

Institute of Acoustics, Nanjing University, Nanjing 210093

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XIAO Yu-Meng, TAO Zhi-Yong, WANG Xin-Long 2006 Chin. Phys. Lett. 23 1846-1849

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Abstract 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.

Keywords: 47.15.Hg 47.35.+i 43.20.Ks

Published: 01 July 2006

PACS:	47.15.Hg
	47.35.+i
	43.20.Ks	(Standing waves, resonance, normal modes)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2006/V23/I7/01846

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