基于厄米-高斯函数法研究1维光子晶体波导

何婷; 苏晓星; 张波; 李晓双

doi:10.7510/jgjs.issn.1001-3806.2016.01.012

基于厄米-高斯函数法研究1维光子晶体波导

1.
北京交通大学电子信息工程学院, 北京 100044;
2.
北京交通大学工程力学研究所, 北京 100044

作者简介: 何婷(1990-),女,硕士研究生,现主要从事光子晶体理论与应用的研究。.

通讯作者: 苏晓星, xxsu@bjtu.edu.cn ;

基金项目:
国家自然科学基金资助项目(11372031)
中图分类号: O436;TN252

Investigation of 1-D photonic crystal waveguide based on Hermite-Gaussian function method

1.
School of Electronics and Information Engineering, Beijing Jiaotong University, Beijing 100044, China;
2.
Institute of Engineering Mechanics, Beijing Jiaotong University, Beijing 100044, China

Corresponding author: SU Xiaoxing, xxsu@bjtu.edu.cn ;

CLC number: O436;TN252

摘要: 为了对折射率型1维光子晶体缺陷波导中的光传输进行有效数值模拟,采用此类型波导的厄米-高斯函数展开方法进行了研究。首先给出了计算方法的详细理论推导,然后利用该方法计算了偏振态不同、结构参量不同的情况下波导本征模式的色散关系、模场空间分布、能量控制因子及等效折射率。结果表明,1维光子晶体缺陷波导与阶跃平面光波导主要差别在于高阶模式,且可通过调节1维光子晶体的结构参量来有效调控高阶模式的传输。
- 光学器件 /
- 传输特性 /
- 厄米-高斯函数方法 /
- 光子晶体波导
Abstract: In order to simulate the light propagation in 1-D refractive-index-typed photonic crystal (PC) defect waveguide effectively, Hermite-Gaussian function expansion method was adopted. At first, the detailed theoretical derivations of the calculation method were presented. And then, dispersion relation, mode field patterns, energy control factor and equivalent refractive index of 1-D PC waveguides with different polarizations and different structural parameters were calculated. The results show that there are significant differences in the high-ordered modes between 1-D PC defect waveguides and step planar waveguides. The transmission of high-order modes can be controlled effectively by adjusting the structural parameters of 1-D PC.
- optical devices /
- propagation property /
- Hermite-Gaussian function method /
- photonic crystal waveguide

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基于厄米-高斯函数法研究1维光子晶体波导

作者简介: 何婷(1990-),女,硕士研究生,现主要从事光子晶体理论与应用的研究。.

通讯作者: 苏晓星, xxsu@bjtu.edu.cn ;

Investigation of 1-D photonic crystal waveguide based on Hermite-Gaussian function method

Corresponding author: SU Xiaoxing, xxsu@bjtu.edu.cn ;

计量

基于厄米-高斯函数法研究1维光子晶体波导

通讯作者: 苏晓星, xxsu@bjtu.edu.cn;

作者简介: 何婷(1990-),女,硕士研究生,现主要从事光子晶体理论与应用的研究。

English Abstract

Investigation of 1-D photonic crystal waveguide based on Hermite-Gaussian function method

Corresponding author: SU Xiaoxing, xxsu@bjtu.edu.cn

全文HTML

目录

留言板

基于厄米-高斯函数法研究1维光子晶体波导

作者简介: 何婷(1990-),女,硕士研究生,现主要从事光子晶体理论与应用的研究。.

通讯作者: 苏晓星, xxsu@bjtu.edu.cn ;

Investigation of 1-D photonic crystal waveguide based on Hermite-Gaussian function method

Corresponding author: SU Xiaoxing, xxsu@bjtu.edu.cn ;

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基于厄米-高斯函数法研究1维光子晶体波导

通讯作者: 苏晓星, xxsu@bjtu.edu.cn;

作者简介: 何婷(1990-),女,硕士研究生,现主要从事光子晶体理论与应用的研究。

English Abstract

Investigation of 1-D photonic crystal waveguide based on Hermite-Gaussian function method

Corresponding author: SU Xiaoxing, xxsu@bjtu.edu.cn

全文HTML

目录