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研究生:許育儒
研究生(外文):Yu-Ju Hsu
論文名稱:光子晶體波導之傳輸行為與雙向多工元件設計
論文名稱(外文):Energy transport in the photonic crystal waveguides and its application for bidirectional module
指導教授:謝文峰謝文峰引用關係
指導教授(外文):Wen-Feng Hsieh
學位類別:碩士
校院名稱:國立交通大學
系所名稱:光電工程系所
學門:工程學門
學類:電資工程學類
論文種類:學術論文
論文出版年:2004
畢業學年度:92
語文別:英文
論文頁數:71
中文關鍵詞:光子晶體雙波多工雙向多工分波多工平面波導積體光路能量跳躍光通訊元件
外文關鍵詞:Photonic crystaldual wavelength demultiplexerbidirectional multiplexerWDMPlanar waveguidePhotonic integrated circuitEnergy hoppingOptical communication devicecoupling and decoupling
相關次數:
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  • 點閱點閱:164
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  • 收藏至我的研究室書目清單書目收藏:1
利用平面波展開法做分析,我們發現了在一般摻雜線缺陷的光子晶體波導內部,其能量的傳輸行為是以跳躍(hopping)的方式做傳播;此外,藉由引入固態物理中的Tight-binding理論,可以描述一個光子晶體波導其傳輸行為類似一個coupled-cavity waveguide,也是以穿遂(tunneling)的方式做傳輸。
當兩個光子晶體波導彼此靠得很近時,其能帶便會由於波導之間的耦合效應,而分裂為兩種模態(even and odd),由於發現此兩種模態在能帶中會發生能帶交叉的現象,因此,這便可以使我們找到一個decoupled frequency,利用此特殊的波導特性以及“時域有限差分法(FDTD)”之數值模擬,我們完成了双波多工元件的設計,之後更進一步地利用reduced-rod光子晶體波導其較特殊的傳播行為,而成功設計出了光通訊中的雙向多工元件。
We present an analysis of photon-transport phenomena in the 2-D triangular-lattice line-defect photonic crystal waveguide (PCW) by using plane wave expansion method. The EM field of reduced-rod waveguides is mainly localized at the defect rods. It is shown that the energy hopping through the PCW akin to the coupled-cavity waveguide. The results are illustrated by performing tight-binding curve fitting.
When two PCWs close enough to each other, we found a “band-crossing” property in the dispersion relation of parallel coupled PCWs. By employing the “decoupling” at the frequency of crossing-point, we have designed a dual wavelength demultiplexer. Furthermore, by taking advantage of the particular transport behavior of reduced-rod PCW, we also design an optical bidirectional module. Both results are verified by using finite-difference time domain simulation method.
Chapter 1 Introduction…………………………………… 1
1-1 Background…………………………………………… 1
1-2 Motivation…………………………………………… 4
1-3 Organization of the thesis……………………… 5
Chapter 2 Theory and Methodology……………………… 6
2-1 Introduction………………………………………… 6
2-2 Plane-wave expansion method…………………… 8
2-3 Finite-difference time-domain method………… 11
2-3.1 One-dimensional simulation with the FDTD method 12
2-3.2 The absorbing boundary condition in one dimension
………………………………………………………… 15
2-3.3 Two-dimensional formulation and perfectly matched
layer (PML) boundary condition………………… 16
2-4 Tight binding method in solid state physics 20
2-5 Mode coupling between PCWs……………………… 23
Chapter 3 Simulation and Discussion…………………… 26
3-1 Energy hopping in the photonic crystal waveguides
……………………………………………………… 26
3-1.1 Line defect photonic crystal waveguides…… 26
3-1.2 The energy flow and field localization……… 28
3-1.3 Group velocity and tunneling mechanism……… 30
3-1.4 Coupled-cavity waveguides and tight-binding
approximation……………………………………… 32
3-1.5 Summary……………………………………………… 35
3-2 Photonic crystal WDM for application of point
defect………………………………………………… 36
3-2.1 Photonic crystal directional coupler………… 36
3-2.2 The PhC point defect and design idea………… 37
3-2.3 FDTD simulation to photonic crystal WDM…… 39
3-2.4 Summary……………………………………………… 44
3-3 Dual wavelength demultiplexing by coupling and
decoupling of photonic crystal waveguides… 45
3-3-1 Study to the dispersion relations of two parallel
photonic crystal Waveguides…………………… 45
3-3-2 Coupling and decoupling of PCWs……………… 46
3-3-3 Demultiplexing……………………………………… 50
3-3-4 The feed back design:A hexagonal loop……… 51
3-3-5 Other discussion…………………………………… 54
3-3-6 Summary……………………………………………… 55
3-4 Design of an optical bidirectional module with
coupled photonic crystal waveguides………… 56
3-4.1 Introduction to optical bidirectional multiplexer
………………………………………………………… 56
3-4.2 The structure of our PhC bidirectional module 57
3-4.3 Simulation and discussion……………………… 62
3-4.4 Summary……………………………………………… 65
Chapter 4 Conclusion……………………………………… 67
Reference………………………………………………………… 69
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