Open AccessBand structures of three-dimensional photonic crystals consisting of dielectric spheres: a plane-wave approach
Author(s) -
Dong Hui-Yuan,
Mei Liu,
Zhaoqiang Wu,
Jing Wang,
Zhenlin Wang
Publication year - 2005
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
ISSN - 1000-3290
DOI - 10.7498/aps.54.3194
Subject(s) - spheres , photonic crystal , dielectric , plane wave , materials science , optics , plane wave expansion method , band gap , physics , transfer matrix method (optics) , condensed matter physics , radius , coating , optoelectronics , nanotechnology , computer security , astronomy , computer science
Using the plane-wave method, we calculate the band structures and transmission characteristics of the three-dimensional fcc photonic crystals. For a SiO2 opa l photonic crystal, we calculate the energy spectrum and the transmission featu re of electromagnetic waves along the [111] direction using both the plane-wave method and the transfer-matrix method, the obtained results are consistent wit h each other. For a full band gap studies of the inverse-opal structure, the co nvergence effect in the plane-wave method on the calculation is discussed. For an fcc lattice of core-shell sphere, it is shown that the relative L-gap width of a suitable coating of dielectric spheres of a lower dielectric material can increase by 50% as compared with that of homogeneous high-dielectric spheres. We also find that the optimum radius ratio between interior and entire spheres is 0.69.