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arXiv · 1011.0047

Function Photonic Crystals

Xiang-Yao Wu·Bai-Jun Zhang·Jing-Hai Yang·Xiao-Jing Liu·Nuo Ba·Yi-Heng Wu·Qing-Cai Wang·Guang-Huai Wang
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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 $ε_{A}$ and $ε_{B}$. 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 $n(z)$, we can obtain more width or more narrow band gap structure than conventional photonic crystals.

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physics.gen-phcond-mat.mtrl-sciphysics.optics

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BibTeXRIS

Xiang-Yao Wu, Bai-Jun Zhang, Jing-Hai Yang, Xiao-Jing Liu, Nuo Ba, Yi-Heng Wu, Qing-Cai Wang, Guang-Huai Wang. 2012-12-01. Function Photonic Crystals. https://doi.org/10.1016/j.physe.2011.05.024

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