原胞形态和排布方式对二维光子晶体能态特性的影响及其应用研究

摘要光子拥有传输信息迅速、传输带宽大、光子之间的相互作用微弱等特点，将光子用作能量和信息的载体，不仅能大大提高信息的传输速度，还能增强其稳定性和保密性，并减小能量损耗。因此，研究人员希望以光子晶体为基础，像半导体材料控制电子运动那样，制造出集成光路来对光子进行有效控制。29004
本文针对二文光子晶体的原胞形态和排布方式进行了研究，主要的工作有：阐述了光子晶体的基本概念和性质；对本征频率方程进行求解；建立不同的原胞模型，利用COMSOL Multiphysics 进行仿真，得到数据后画出能带图；通过能带图分析不同原胞形态和排布方式对二文光子晶体能带的影响及其应用的研究。
关键词二文光子晶体光子带隙原胞 Maxwell方程 COMSOL Multiphysics
毕业设计外文摘要
Title Theoretical Research on the Bandgap Characteristics and Applications
        of 2D Photonic Crystal with different Morphologies and Arrangements
        of primitive cell
Abstract
Photons have the performances of fast transmission speed, big bandwidth, and weak interactions etc. As the carrier of energy and information, photon can greatly improve information transmission speed, decrease power consumption, and enhance its stability and confidentiality. Thus people intend to make a kind of integrated optics circuits to control the photons based on photonic crystals just like semiconductor materials.
We have done theoretical research on morphology and arrangement of 2D primitive cell. The main works of this paper are listed as following:
1.The concepts and properties of photonic crystals were introduced.
2.The eigen frequency equation was solved.
3.Kinds of primitive cell models were built and simulated by using COMSOL multiphysics.
4.Different energy band diagrams were drawn and comparisons were made between these kinds of primitive cells.
Keywords Two dimensional photonic crystal Photonic band-gap Primitive cell Maxwell equation COMSOL Multiphysics
目   次
1 绪论 1
1.1 引言 1
1.2 光子晶体的概念和基本特性1
1.2.1 光子晶体的概念1
1.2.2 光子带隙2
1.2.3 光子局域3
1.2.4 偏振特性4
1.3 光子晶体的制备4
1.3.1 制备光子晶体的材料4
1.3.2 制备光子晶体的方法4
1.4 光子晶体的实际应用5
1.5 COMSOL Multiphysics 4.4简介5
1.6 选题意义及主要工作内容6
2 本征频率方程的求解 7
2.1 光子晶体中的麦克斯韦方程7
2.2 二文光子晶体本征方程的推导9
3 仿真过程及结果分析 12
3.1 二文晶格正方排列光子晶体12
3.1.1 圆形介质柱正方排列光子晶体能带特性12
3.1.2 圆形空气孔正方排列光子晶体能带特性13
3.1.3 方形介质柱正方排列光子晶体能带特性15
3.1.4 方形空气孔正方排列光子晶体能带特性17
3.2 二文晶格正方排列光子晶体 19
3.2.1 圆形介质柱三角排列光子晶体能带特性19
3.2.2 圆形空气孔三角排列光子晶体能带特性21
3.2.3 方形介质柱三角排列光子晶体能带特性22
3.2.4 方形空气孔三角排列光子晶体能带特性24
3.3 光子禁带分布图 25                       原胞形态和排布方式对二维光子晶体能态特性的影响及其应用研究:http://www.youerw.com/tongxin/lunwen_24080.html