Theoretical study on the photonic band gap in one-dimensional photonic crystals with graded multilayer structure

We theoretically investigate the photonic band gap in one-dimensional photonic crystals with a graded multilayer structure. The proposed structure constitutes an alternating composite layer （metallic nanoparticles embedded in TiO2 film） and an air layer. Regarding the multilayer as a series of capac...

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Published inChinese physics B Vol. 22; no. 7; pp. 242 - 246
Main Author 范春珍 王俊俏 何金娜 丁佩 梁二军
Format Journal Article
LanguageEnglish
Published 01.07.2013
Subjects
Band theory
Banded structure
Mathematical analysis
Mathematical models
Multilayers
Nanoparticles
Photonic crystals
Photonics
Titanium dioxide
一维光子晶体
光子带隙
光学性能
多层结构
梯度
纳米TiO2薄膜
结构构成
色散关系
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ISSN1674-1056
2058-3834
1741-4199
DOI10.1088/1674-1056/22/7/074211

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Summary:We theoretically investigate the photonic band gap in one-dimensional photonic crystals with a graded multilayer structure. The proposed structure constitutes an alternating composite layer （metallic nanoparticles embedded in TiO2 film） and an air layer. Regarding the multilayer as a series of capacitance, effective optical properties are derived. The dispersion relation is obtained with the solution of the transfer matrix equation. With a graded structure in the composite layer, numerical results show that the position and width of the photonic band gap can be effectively modulated by varying the number of the graded composite layers, the volume fraction of nanoparticles and the external stimuli.
Bibliography:graded photonic crystals;multilayer;band gap
We theoretically investigate the photonic band gap in one-dimensional photonic crystals with a graded multilayer structure. The proposed structure constitutes an alternating composite layer （metallic nanoparticles embedded in TiO2 film） and an air layer. Regarding the multilayer as a series of capacitance, effective optical properties are derived. The dispersion relation is obtained with the solution of the transfer matrix equation. With a graded structure in the composite layer, numerical results show that the position and width of the photonic band gap can be effectively modulated by varying the number of the graded composite layers, the volume fraction of nanoparticles and the external stimuli.
11-5639/O4
Fan Chun-Zhen, Wang Jun-Qiao, He Jin-Na, Ding Pei, and Liang Er-Jun a） School of Physical Science and Engineering, and Key Laboratory of Materials Physics of Ministry of Education of China, Zhengzhou University, Zhengzhou 450052, China b） State Key Laboratory of Surface Physics and Department of Physics, Fudan University, Shanghai 200433, China c） Department of Mathematics and Physics, Zhengzhou Institute of Aeronautical Industry Management, Zhengzhou 450015, China
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ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/22/7/074211