title: Band gaps in the propagation and scattering of surface water waves over cylindrical steps.
abstract: Here we investigate the propagation and scattering of surface water waves in the presence of arrays of bottom-mounted cylindrical steps. Both periodic and random arrangements of the steps are considered. The wave transmission through the arrays is computed using the multiple scattering method based upon a recently derived formulation. For the periodic case, the results are compared to the band structure calculation. We demonstrate that complete band gaps can be obtained in such a system. Furthermore, we show that the randomization of the location of the steps can significantly reduce the transmission of water waves. Comparison with other systems is also discussed.
authors.affiliation: Department of Physics, Fudan University, and National Lab of Infrared Physics, Shanghai, China.
authors.forename: Liang-Shan
authors.initials: LS
authors.lastname: Chen
authors.forename: Chao-Hsien
authors.initials: CH
authors.lastname: Kuo
authors.forename: Zhen
authors.initials: Z
authors.lastname: Ye
authors.forename: Xin
authors.initials: X
authors.lastname: Sun