Bandgap calculation of 2D hexagonal photonic crystal structures based on regression analysis

被引：11

作者：

Electrical Department, Faculty of Engineering, Islamic Azad University, Tabriz, Iran ^{[1
]}

不详 ^{[2
]}

机构：

[1] Electrical Department, Faculty of Engineering, Islamic Azad University, Tabriz

来源：

Alipour-Banaei, Hamed | 2013年 / Walter de Gruyter GmbH卷 / 34期

关键词：

hexagonal lattice; photonic band gap; photonic crystal; regression analysis;

D O I：

10.1515/joc-2013-0033

中图分类号：

学科分类号：

摘要：

We introduce a novel method based on mathematical equations to evaluate Photonic Band Gap (PBG) of the 2D hexagonal structures. By using regression analysis, extraction of PBG in all of 2D hexagonal structures is possible. We show that the mathematical equations that reached in this work have sufficient validity with comparing other numerical methods such as Plane Wave Expansion (PWE) and so etc. We demonstrate this validity for both 2D hexagonal air holes in dielectric medium and dielectric rods in air cases. The results show that the PBG region of both above mentioned kinds tend toward lower normalized frequencies by increasing the refractive index of dielectric material. The developed formulas in this work consist all of the physical parameters of structures such as lattice constant, refractive indices and dielectric radiuses. The resulting equations are suitable for applicable optical devices designing to tune the desired PBGs. These equations have minimum errors compared with other methods and it has been shown that results are matched very well with numerical simulations. © 2010 PACS.

引用

页码：285 / 293

页数：8

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