2010/11/30 by Xiang-Yao Wu, Bai-Jun Zhang, Jing-Hai Yang +5
Physics and Astronomy · #physics.gen-ph #cond-mat.mtrl-sci #physics.optics
paper · pdf · doi:10.1016/j.physe.2011.05.024
published as Physica E, 43, 1694-1700, 2011 · 15 pages, 8 figures. arXiv admin note: text overlap with arXiv:1001.3793 by other authors; and text overlap with arXiv:1003.3524, arXiv:physics/0104088 by other authors without attribution
arxiv created 2012/12/01 · arxiv updated 2015/05/20
In the paper, we present a new kind of function photonic crystals, which refractive index is a function of space position. Unlike conventional PCs, which structure grow from two materials, A and B, with different dielectric constants εA and εB. By Fermat principle, we give the motion equations of light in one-dimensional, two-dimensional and three-dimensional function photonic crystals. For one-dimensional function photonic crystals, we study the dispersion relation, band gap structure and transmissivity, and compare them with conventional photonic crystals. By choosing various refractive index distribution function n(z), we can obtain more width or more narrow band gap structure than conventional photonic crystals.