臺灣博碩士論文加值系統

本論文是討論光子晶體於全光式元件在可見光譜上的應用。光子晶體是指由兩種或兩種以上不同介電質材料組成週期性的排列結構。在此週期性排列介電質材料結構上會造成某部份的電磁波無法在晶體內傳遞，此區域稱為光子能隙。我們在此週期性結構中藉由晶體缺陷、平面展開、有限時域差分法等方法來設計與模擬進而達到欲元件設計的目的。
首先，吾人利用改變光子晶體結構中的橢圓晶格半徑，提出了一個具有左手介質中的負折射現象的結構。接著，利用此結構的特性來控制光行徑路徑，再進一步探討光子晶體結構之光子能隙的現象所產生不同的能隙，我們設計出可應用在可見光譜範圍中具有隱形物件效果的元件。最後，我們利用超低折射率複合材料的概念，設計出一個新穎可見光譜分離之解多工器。此結構結合了金屬與半導體在光子晶體結構應用上的優點，改善了純金屬結構上功率與半波寬等問題。

In this thesis, we discussed the application of all-optical devices in the visible spectrum based on compound-material and Left-handed behavior in the photonic crystals. A photonic crystal is a revolutionary class of artificially periodic electromagnetic media, in which a fundamentally new electromagnetic phenomenon can be achieved. A photonic band gap defines a range of frequencies for which light is forbidden to exist inside the crystal. We by using crystal defect, plane-wave expansion method and finite-difference time-domain method to analyzed photonic crystal optical devices structure.
Firstly, we by varying the radius of the material rods of the left-handed structure，the light beam would be controlled by negative refraction propagating behavior based on photonic crystals. The distance of path 1 is the same as path 2. The source beam can be split to two propagating paths in compound structure. We present a novel photonic crystal cloaking device at visible spectrum based on the association of two lattices working in different regimes, namely, stop band and negative refraction.
Finally, we presented the novel visible wavelength division multiplexer based on ultralow-refractive-index. The metamaterial structure is devoted to the visible optical characterization, through a periodic structure of compound-material of metallic and semiconductor in air. In addition, we are modify our crystals radius of metamaterial, to obtain a better effect with that has cut down loss and cross talk.

List of Figures
Chapter 1： Introduction 1
Chapter 2： Basic Theory and Simulation Methods
2.1 Bloch’s Theorem 7
2.2 Brillouin Zone 10
2.3 Drude Model 16
Chapter 3： Novel design of Cloaking device with visible spectrum based on negative refraction propagating behavior
3.1 Introduction 22
3.2 Analysis of negative refraction propagating behavior
3.2.1 Structure Analysis 24
3.2.2 Numerical Simulation 25
3.3 Design of novel cloaking device
3.2.1 Device Design 26
3.2.2 Numerical Simulation 28
3.4 Summary 29
Chapter 4： Optical Wavelength Router in visible spectrum based on 2D PC metamaterial structure
4.1 Introduction 44
4.2 Structure Analysis 45
4.3 Numerical Simulation 47
4.4 Summary 50
Chapter 5： Rainbow-color photonic crystal demultiplexer based on ultralow-refractive-index metamaterial structure
5.1 Introduction 56
5.2 Structure Analysis 58
5.3 Numerical Simulation 60
5.4 Summary 62
Chapter 6： Conclusions
6.1. Summary 72
6.2. Suggestions for Future Researches 74
References 75

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