Open AccessPropagation of water wave over a periodically perforated bottom and the band structure
Author(s) -
Zhong Lan-Hua,
Fugen Wu
Publication year - 2009
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.58.6363
Subject(s) - square lattice , hexagonal crystal system , square (algebra) , hexagonal lattice , plane wave expansion method , materials science , optics , photonic crystal , lattice (music) , electronic band structure , band gap , condensed matter physics , geometry , physics , acoustics , optoelectronics , crystallography , chemistry , mathematics , antiferromagnetism , ising model
The band structures of shallow water surface wave propagating over a periodically perforated bottom are calculated by the plane wave expansion methodand complete band gaps appear. Through considering three drilling patterns square holes arrayed in square latticecircular holes arrayed in square and hexagonal latticeswe find that the numberwidthfrequency and location of band gaps are related to the areashapeorientation of drilled holes and the lattice. These rules are similar to those in photonic/ phononic crystals.