拜近幾年奈米製程技術的發展之賜，光子晶體的研究得以由波長較長的微波、通訊波段漸漸往更短波長的可見光甚至紫外光發展。因此光子晶體被廣泛的研究及應用在光通訊、LED照明及雷射…等不同領域。本論文主要利用二維能帶邊緣型光子晶體雷射了解晶格結構及有機發光材料的發光特性。有機材料上我們使用高效率的藍光高分子Poly(9,9-dioctylfluorenyl-2,7-diyl) end capped with dimethylphenyl，簡稱PFO-DMP來當作增益介值。研究當光子晶體雷射晶格為正方晶格漸漸變成長方晶格時，用光子晶體理論去計算其頻帶和所對應的模態並且量測雷射波長、極化及遠場繞射的隨著晶格邊長而變化關係。另外我們使用一組固定r/a比0.35的正方晶格來量測PFO-DMP的增益性質，利用簡單的一維共振腔模型分析PFO-DMP的emission cross section對應波長的關係。

Thanks to the development of nano-fabrication technology, the research of photonic crystals progress from longer to shorter wavelength(ex. Microwave to U.V. light).Therefore, it is extensively discussed and utilized in optic communication, L.E.D lighting and laser …etc. The main topic in this thesis is utilizing band edge photonic crystal lasers to figure out the emission characteristic of lattice structures and organic lighting material. We used the high efficiency blue light polymer, Poly(9,9-dioctylfluorenyl-2,7-diyl) end capped with dimethylphenyl, PFO-DMP, as the gain media. We used the theory of photonic crystals to calculate the band structure and corresponding modes and measure the wavelength , polarization, and far-field diffraction pattern of lasers with different lattice structures. On the other hand, we employed a set of square lattice with different lattice constant and fixed r/a ratio (0.35) to measure the PFO-DMP gain characteristic and 1D resonance cavity model to analyze the emission cross section between emission cross section and wavelength.

目錄
摘要 .......................................................................................................... I
Abstract ................................................................................................... II
致謝 ........................................................................................................ III
目錄 ......................................................................................................... V
第一章 序論 ........................................................................................... 1
1-1 光子晶體簡介 .......................................................................... 1
1-2 光子晶體雷射簡介 ................................................................... 4
1-3 研究動機 .................................................................................. 7
第二章 有機材料之特性 ........................................................................ 8
2-1 有機分子的吸收與放射 ........................................................... 8
2.2 有機分子的半導體特性 ........................................................... 9
2.3 PFO之UV吸收與PL放射光譜 .............................................. 10
第三章 Amplified Spontaneous Emission ............................................. 12
3-1 A.S.E的原理 ............................................................................ 12
3-2 單膜態平板波導之膜厚計算 ................................................ 14
3-3.1 樣品製備 .................................................................... 15
3-3.2 ASE量測系統架設 ..................................................... 15
3-3.3 ASE量測結果 ............................................................. 16
第四章 邊緣能帶光子晶體雷射介紹與設計 ....................................... 19
4-1 平面波展開法(Plane Wave Expansion Method) ..................... 19
4-2膜態介紹 ................................................................................. 22
4-3倒晶格向量與週期性介電質分布之傅立葉展開 ................... 23
4-4不同晶體結構及其導晶格 ...................................................... 24
4-4光子晶體能隙 ......................................................................... 27
4-5能帶邊緣型光子體雷射結構設計 .......................................... 29
第五章 實驗結果與討論 ...................................................................... 38
5-1結構製造 ................................................................................. 38
5-2 Lasing實驗光路架構 ............................................................... 43
5-3 量測結果 ............................................................................... 44
第六章 結論與未來展望 ...................................................................... 70
Reference ............................................................................................... 73

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