基于环形耦合谐振腔的光学滤波器研究

基于环形耦合谐振腔的光学滤波器研究(论文13000字)
摘要：21世纪是全球信息化的时代，通信技术成为不可缺少的一部分。为了更好地实现光通信的波分复用，基于微环的谐振器被提出。微环谐振器具有成本低、集成度高等优点。本文首先介绍了关于光学滤波器和形谐振器的国内外现状和研究背景。其次，基于金属结构的时域有限差分法 ( Finite-Difference Time-Domain, FDTD)原理，计算研究了多路径自由滤出指定波长的光的滤波器特性。主要内容有以下三点。第一，采用金属-绝缘体-金属（metal-insulator-metal , MIM）波导结构和Drude模型计算单环形耦合谐振腔光学滤波器对特定波长滤波的特性。第二，为提高滤波器的性能即增加滤出波数和路径，研究了双环形耦合谐振腔结构对特定波长的光滤出的情况。第三，计算研究了共振波长的的场图分布，从场图可以清楚的看出共振波长光的滤出路径，与滤波谱线相一致。
关键词：光学滤波器；环形谐振器；FDTD原理；MIM波导；Drude 模型

Research on optical filter based on ring coupled resonator
Abstract：The twenty-first Century is the era of global information,communication technology has become an indispensable part of knowledge society.To achieve better wavelength division multiplexing of optical communications, a micro-ring resonator has been proposed. Micro-ring resonators have the advantages of low cost and high integration. The main contents of this paper are as follows: First, the present situation and research background of optical filter and shape resonator at home and abroad are introduced. Second, based on the Finite-Difference Time-Domain(FDTD)principle of metal structure, the filter characteristics of multi-path free filtering of specified wavelength are calculated. The main contents of the filterinclude the following three points. First, the metal-insulator-metal (MIM) waveguide structure and Drude model are used to calculate the characteristics of single ring coupled resonator optical filter for specific wavelength filtering；Second, in order to improve the performance of the filter, that is, to increase thenumber of filtered wavelength and path, the filtercharacteristics of specified  wavelengths based on double ring coupled resonators optical filter has been studied. Third, the field distributions of the resonant wavelength has been calculated, form field distributions, it can been seen clearly that the filter path of the resonant wavelength is consistent with the filter spectrumline.
Key words：Optical filter;Ring resonator;FDTD principle；MIM waveguide；Drude mode

目 录

摘要...............................................................................................Ⅰ
Abstract..........................................................................................Ⅱ
1绪论...............................................................................................1
1.1研究背景和意义.....................................................................................................................1
1.2国内外研究现状.....................................................................................................................1
1.2.1光学滤波器..................................................................................................................1
1.2.2 表面等离子激元.........................................................................................................2
1.2.3 金属-绝缘体-金属波导..............................................................................................2
1.2.4环形谐振器..................................................................................................................3
1.3本章小结.................................................................................................................................6
2FDTD原理及Drude模型................................................................6
2.1时域有限差分方法.................................................................................................................6
2.2麦克斯韦方程及其FDTD形式.............................................................................................6
2.3Yee元胞...................................................................................................................................8
2.4数值稳定性..............................................................................................................................9
2.5 Drude模型.............................................................................................................................10
2.6本章小结................................................................................................................................11
3基于环形耦合共振腔的光学滤波器研究..........................................11
3.1 微环谐振器基本原理...........................................................................................................11
3.1.1谐振方程.....................................................................................................................11
3.1.2谐振环半径.................................................................................................................11
3.2传输矩阵法............................................................................................................................12
3.3单环型MIM波导谐振腔滤波器.........................................................................................12
3.3.1传递函数.....................................................................................................................12
3.3.2建立模型.....................................................................................................................14
3.3.3结果分析.....................................................................................................................15
3.4双环型MIM波导谐振腔滤波器..........................................................................................18
    3.4.1建立模型.....................................................................................................................18
    3.4.2结果分析.....................................................................................................................18
    3.5本章小结................................................................................................................................21
4总结..............................................................................................21
参考文献.........................................................................................22
致谢................................................................................................24