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系統識別號 U0026-2106201210412000
論文名稱(中文) 運用有限差分時域法分析膽固醇液晶的雷射性質
論文名稱(英文) Finite Difference Time Domain Modeling of Lasing Actions in Cholesteric Liquid Crystals
校院名稱 成功大學
系所名稱(中) 光電科學與工程學系
系所名稱(英) Department of Photonics
學年度 100
學期 2
出版年 101
研究生(中文) 彭載峰
研究生(英文) Zai-Fong Peng
學號 l76991180
學位類別 碩士
語文別 中文
論文頁數 158頁
口試委員 指導教授-張世慧
口試委員-張允崇
口試委員-林俊宏
中文關鍵字 有限差分時域法  膽固醇液晶 
英文關鍵字 Finite Difference Time Domain  Cholesteric Liquid Crystals 
學科別分類
中文摘要 膽固醇液晶可調變的特性,例如膽固醇液晶的螺距、折射率,容易受到外加電場、溫度、壓力的影響,讓膽固醇液晶成為可調變的雷射腔很有應用潛力的選擇。本論文使用有限差分時域法(Finite Difference Time Domain)簡稱FDTD,分析膽固醇液晶雷射的性質,FDTD中利用到包括,分裂場轉換(split field) 週期性邊界條件、完美匹配層(Perfect Matching Layer 簡稱PML)吸收邊界條件、及四能階雷射系統描述在膽固醇液晶中摻入的染料增益介質。
利用FDTD模擬程式,對一維膽固醇液晶的雷射性質進行分析,觀察不同抽運率(pump rate)對增益係數的影響,分別利用雷射共振腔的理論和穿透頻譜分析增益係數和損失係數,找出門檻抽運率(pumping threshold),最後調整實驗參數,如膽固醇液晶的螺距、折射率、光的入射角,達到控制雷射波長和降低門檻抽運率的效果。
英文摘要 Tunable properties of Cholesteric liquid crystals (CLC), such as changing its periodic pitch distance and refractive index through applied electric field, temperature and pressures, make CLC a potential candidate for tunable laser cavity. In this thesis, we use finite-difference time- domain (FDTD) method, including split field transformation for periodic boundary condition, perfect matching layer (PML) for absorbing boundary condition, and four level laser model for dye gain medium doped in CLC, to analyze lasing actions in CLC.
We use FDTD code developed in this thesis work to simulate one dimensional CLC laser. We observed lasing actions through band edge modes in cholesteric liquid crystals and analyzed its lasing threshold. By using simple laser cavity model, we estimated the gain coefficient from the pumping rate and the loss coefficient from the transmission spectrum of the passive CLC cavity. By varying the pitch distance, refractive index and incident angle, we achieved in controlling the lasing wavelength and lowering the pumping threshold.
論文目次 第一章 液晶簡介…………………………………………………………1
1-1緒論………………………………………………………………1
1-2何謂液晶…………………………………………………………3
1-3液晶的分類………………………………………………………4
1-4 液晶顯示器和液晶雷射簡介…………………………………11

第二章 液晶物理...........................................23
2-1液晶的光學異向和雙折射性...........................23
2-2電場對絕緣向列相液晶的影響.......................27
2-3液晶的連續彈性體理論...................................29
2-4液晶的自由能......................32
2-5液晶導軸的計算.......................35
2-6雷射簡介......................42
2-7四能階雷射系統...............44
2-8勞倫茲模型....................48

第3章 有限差分時域法介紹...............................51
3-1有限差分時域法簡介....................................51
3-2穩定準則.......................53
3-3散射/全電磁場解析法......................55
3-4完美匹配層和膽固醇液晶雷射的演算法...................57
3-5週期性邊界條件.........................68

第四章 膽固醇液晶雷射FDTD模擬結果和討論......................83
4-1 FDTD模擬參數及穿透頻譜圖........................84
4-2膽固醇液晶共振腔損失係數及增益係數的計算...............88
4-3 Pumping rate和雷射強度的討論..............111
4-4膽固醇液晶參數對雷射產生的影響.....................113

第五章 結論與展望未來......................................153
5-1結論..............................................153
5-2展望未來............................................154
參考文獻........................155
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