Optimal Design of Photonic Band Gap in Ge-based Tetragonal Lattice 2D Photonic Crystal

LIU Yang; TANG Ji-yu; WANG Xi; DUAN Ming-zheng; CUI Jing; WU Da-jiang; ZHU Yong-an

doi:10.3788/fgxb20143504.0491

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Optimal Design of Photonic Band Gap in Ge-based Tetragonal Lattice 2D Photonic Crystal

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- Optimal Design of Photonic Band Gap in Ge-based Tetragonal Lattice 2D Photonic Crystal
- Chinese Journal of Luminescence Vol. 35, Issue 4, Pages: 491-495(2014)
- 作者机构：
  
  1. 华南师范大学华南先进光电子研究院,广东广州,510006
  2. 华南师范大学物理与电信工程学院,广东广州,510006
- 作者简介：
- 基金信息：
- DOI：10.3788/fgxb20143504.0491
  CLC： O734
- Received：30 October 2013，
  
  Revised：25 January 2014，
  
  Published：03 April 2014
- 稿件说明：
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刘洋, 唐吉玉, 王茜等. Ge基二维正方晶格光子晶体带隙优化设计[J]. 发光学报, 2014,35(4): 491-495

LIU Yang, TANG Ji-yu, WANG Xi etc. Optimal Design of Photonic Band Gap in Ge-based Tetragonal Lattice 2D Photonic Crystal[J]. Chinese Journal of Luminescence, 2014,35(4): 491-495
刘洋, 唐吉玉, 王茜等. Ge基二维正方晶格光子晶体带隙优化设计[J]. 发光学报, 2014,35(4): 491-495 DOI： 10.3788/fgxb20143504.0491.

LIU Yang, TANG Ji-yu, WANG Xi etc. Optimal Design of Photonic Band Gap in Ge-based Tetragonal Lattice 2D Photonic Crystal[J]. Chinese Journal of Luminescence, 2014,35(4): 491-495 DOI： 10.3788/fgxb20143504.0491.

摘要

采用平面波展开法模拟二维光子晶体在E极化和H极化下的能带结构，研究Ge基二维正方晶格光子晶体的填充比以及晶格排列结构对最大禁带宽度的影响。结果表明：在空气背景材料中填充Ge柱的介质柱结构中，可产生TE、TM带隙，且各方向完全带隙出现在

r/a

=0.19~0.47范围内，最大完全帯隙禁带宽度可以达到0.064（归一化频率）；在选取Ge为背景材料的空气孔型结构中，同样可产生TE、TM带隙，且各方向完全带隙出现在

r/a

=0.46~0.49范围内，最大完全帯隙禁带宽度可以达到0.051（归一化频率）。同时，不论在介质柱型还是空气孔型结构中，带隙宽度都随着

r/a

的增大呈先增大后减小的趋势。

Abstract

Using the plane wave expansion method

the band structure of two-dimensional photonic crystal was calculated under E polarization and H polarization. The influence of Ge-based tetragonal lattice photonic crystal filling ratio and the lattice structure on the maximum photonic band gap were analyzed. When Ge cylinders are placed in the air background

the TE band and TM band generate and the maximum complete band gap appears in the range of

r/a

=0.19~0.47

the maximum photonic band gap width can reach 0.064(normalized frequency). When air holes are placed in the Ge background

the TE and TM band also generate

and the maximum complete band gap appears in the range of

r/a

=0.46~0.49

the maximum photonic band gap width can reach 0.051(normalized frequency). Meanwhile

in both of the cylinder and air holes structure

along with the rising of

r/a

the band gap width increases at first

and then decreases.

关键词

Keywords

references

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