Open AccessA study of the band structure in two-dimensional phononic crystals based on plane-wave algorithm
Author(s) -
Qi Gong-Jin,
Yang Shengliang,
Bai Shuxin,
Xin Zhao
Publication year - 2003
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.52.668
Subject(s) - band gap , plane wave expansion method , mercury (programming language) , condensed matter physics , binary number , lattice (music) , plane wave , materials science , lattice constant , physics , optics , diffraction , mathematics , acoustics , computer science , arithmetic , programming language
In this paper, the calculating course of the plane-wave algorithm is introducedto solve the sound wave equation and the band structure of phononic crystals. The phononic crystals of two-dimensional binary liquid systems are studied. In conclusion, the CCl4/mercury system is easier to obtain the band-gap than the mercury/CCl4 system. With the increase of the filling fraction(f), the width of the band-gap becomes wider and then narrower. The widest band-gap of CCl4/mercury system appears at f=0229,where ΔΩmax=0549.While the width of the band-gap in mercury/CCl4 system increases consistently with the filling fraction, when f=0.554,ΔΩmax=0515.Under the same filling fraction, the variation of the cylinder diameter and lattice constant does not affect the band-gap width ΔΩ.