English

Function Photonic Crystals

General Physics 2015-05-20 v4 Materials Science Optics

Abstract

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\epsilon_{A} and ϵB\epsilon_{B}. 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)n(z), we can obtain more width or more narrow band gap structure than conventional photonic crystals.

Keywords

Cite

@article{arxiv.1011.0047,
  title  = {Function Photonic Crystals},
  author = {Xiang-Yao Wu and Bai-Jun Zhang and Jing-Hai Yang and Xiao-Jing Liu and Nuo Ba and Yi-Heng Wu and Qing-Cai Wang and Guang-Huai Wang},
  journal= {arXiv preprint arXiv:1011.0047},
  year   = {2015}
}

Comments

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

R2 v1 2026-06-21T16:36:24.023Z