二維雙輸入雙輸出光子晶體分光器

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姓名

簡宏達(Hung-Ta Chien) 查詢紙本館藏

畢業系所

光電科學與工程學系

論文名稱

二維雙輸入雙輸出光子晶體分光器
(2-D 2x2 Photonic Crystal Beamsplitter)

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摘要(中)

本論文中，我們提出兩種二維雙輸入雙輸出光子晶體分光器。其結構由兩正交之光子晶體波導在正方晶格之中。兩波導相交處之結構被改變去控制電磁波的分流比例。空氣柱和介電質柱的光子晶體皆被研究，而且其機制也被討論。而以光子晶體形成的馬氏干涉儀的特性(強度調變器)也被研究。

摘要(英)

In this wok, we propose two novel two-dimensional photonic crystal beamsplitters with two input ports and two output ports. The structure consists of two orthogonal-crossing line defects in square lattice. The intersection of two orthogonal photonic crystal waveguides was modified to control the splitting ratio of the electromagnetic waves. The photonic crystal beamsplitters with air-holes and dielectric pillars are studied. The mechanisms of the light splitting in the photonic crystal beamsplitters are discussed. The characterization of the Mach-Zehnder interferometers (intensity modulator) using the photonic crystal beamsplitters are investigated.

關鍵字(中)

★ 光子晶體
★ 光子能隙
★ 分光器
★ 波導
★ 模態匹配

關鍵字(英)

★ mode matching
★ waveguides
★ beamsplitters
★ photonic bandgap
★ photonic crystals

論文目次

Contents
Abstract Ⅰ
Acknowledgements Ⅱ
Content Ⅲ
List of figures Ⅴ
List of tables Ⅹ
Chapter 1 Introduction
1.1 Photonic crystal 1
1.1.1 About photonic crystals 3
1.1.2 Defects 3
1.2 Photonic crystals components 4
1.2.1 Advantages of components using photonic crystal
structure in integrated optics 4
1.2.2 Photonic crystal waveguides 4
1.2.3 Photonic crystals beamsplitters 6
Chapter 2 Research methods
2.1 Finite-difference time-domain (FDTD) and perfect
match layer (PML) 8
2.2 Plane wave expansion (PWE) 16
2.3 Examples 17
Chapter 3 Simulation processes
3.1 Sturctures of the PC beamsplitters 19
3.1.1Dielectric pillars in air 22
3.1.2 Air holes on dielectric slabs 24
3.2 Techniques 25
3.2.1 Eliminating reflection of EM waves at the interfaces 25
3.2.2 Standing wave ratio (SWR) 27
3.2.3 Discrete Fourier transform (DFT) 27
3.2.4 Extinction ratio 28
3.2.5 Complex notation of EM fields 31
3.2.6 Poynting vector 32
3.3 Process to study the properties of beamsplitter 33
Chapter 4 Simulation result
4.1 Case A - insert a point scattering 36
4.2 Case B - modifying the size of the pillars at the corner 37
4.3 Application 40
Chapter 5 Discuss- The principle of beamsplitter
5.1 Mode matching 42
5.2 Deflection by scatterers 45
Chapter 6 Conclusions 46
Reference 49
Appendix A : Programs of Poynting 54
Appendix B : Programs of DFT 58

參考文獻

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指導教授

陳啟昌(Chii-Chang Chen)

審核日期

2004-6-23

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