Open AccessStudy of the band-structure and the uncoupled modes in two-dimensional phononic crystals with the multiple-scattering theory
Author(s) -
Li Cai,
Xijiang Han
Publication year - 2006
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.55.5866
Subject(s) - scattering , decoupling (probability) , band gap , physics , condensed matter physics , optics , electronic band structure , lattice (music) , coupling (piping) , computational physics , materials science , acoustics , control engineering , engineering , metallurgy
The multi-scattering theory (MST) method is applied to study the band structure of the two-dimensional phononic band-gap material. A comprehensive study is performed for the coupling between various order components of the cylindrical scattered wave. It has been found that there are decoupling effects at the edge of the band gap. Therefore, a self-contained self-consistent multiple scattering model of the zeroth-order scattered wave is obtained at the edge of the first band gap. A Mie scattering factor and a lattice structure factor are introduced to give a physical insight into the variation of the gap’s starting frequency by graphic analytic method.