利用電控膽固醇液晶傾斜螺旋態結構調制偏振體積光柵之光學特性。

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姓名

曾禹翔(Yu-Shiang Tseng) 查詢紙本館藏

畢業系所

光電科學與工程學系

論文名稱

利用電控膽固醇液晶傾斜螺旋態結構調制偏振體積光柵之光學特性。
(Electrically controllable optical properties of polarization volume gratings based on the oblique helicoidal state of chiral nematics)

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至系統瀏覽論文 (2028-6-30以後開放)

摘要(中)

本論文研究分為三大主題，第一主題是水平配向之傾斜螺旋態膽固醇液晶於不同溫度下的反射頻譜變化，以及其結構變化與操作電壓變化。在此部分研究中，固定材料比例、液晶盒厚度和配向膜種類，僅改變溫度一參數，溫度對於傾斜螺旋態膽固醇液晶的特性影響顯著。產生傾斜螺旋態結構需添加液晶二聚體，此可降低整體液晶混合物的彎曲彈性係數(K33)，而改變溫度(升溫)會使其彎曲彈性係數(K33)上升，使傾斜螺旋態的特性越不明顯。最後透過4×4貝里曼矩陣計算反射頻譜之理論值並與實驗量測到的反射頻譜進行擬合，最後透過擬合得到其螺旋週期以及錐角。第二主題為偏振體積光柵之傾斜角、繞射角、繞射效率及史托克參數(S3)量測，探討相同x方向週期，並改變膽固醇液晶的螺距使其傾斜角改變，進而改變繞射角；最後探討Q參數對於布拉格光柵偏振選擇性影響。第三主題為前兩主題的結合，製作傾斜態膽固醇液晶之偏振體積光柵(Oblique Helicoidal State of Polarization Volume Grating, OHPVGs)，預計透過傾斜螺旋態膽固醇液晶可電控調制螺距長度的特性製作出可電控調制繞射角之光柵，但實驗上卻無此現象，本論文對此現象的推測為Q值太小，故繞射角與螺距長度及傾斜角無關，只與波長及光柵週期及液晶折射率相依。此外，本論文研究仍有發現OHPVGs可解決施加電場下之水平配向之傾斜螺旋態膽固醇液晶反射頻譜中短波長上升之問題，本論文第六章提出解決辦法以及未來可繼續研究之方向。

摘要(英)

The research topic in this thesis is divided into three main parts. The first topic focuses on the reflection spectra and structural changes of homogeneous alignment of oblique helicoidal state of chiral nematics at different temperatures, as well as the variations in the operating voltage. In this study, the concentration of the adopted materials, liquid crystal (LC) cell gap, and alignment films are kept invariant, while only the temperature parameter is varied. The temperature has a significant impact on the characteristics of the oblique helicoidal state of chiral nematics. The formation of an oblique helicoidal state requires the addition of LC dimers, which reduces the overall bend elastic constant (K33) of the LC mixture. The bend elastic constant (K33) increases with the temperature, making the characteristics of the oblique helicoidal state less prominent. The Berreman 4×4 matrix is used to fit the measured reflection spectra, and the pitch length and cone angle are obtained through the fitting process. The second topic involves the measurements of the slanted angle, diffraction angle, diffraction efficiency, and Stokes parameter (S3) of the obtained polarization volume gratings (PVGs). It explores the variations of the slanted angle by adjusting the pitch length of chiral nematics with the same period along the x-directional, which in turn affects the diffraction angle. Finally, the Q parameter′s impact on Bragg volume gratings′ polarization selectivity is examined. The third topic involves the combination of the first two topics, aiming to fabricate Oblique Helicoidal State of Polarization Volume Gratings (OHPVGs). The goal is to achieve electrically controllable modulation of the grating′s diffraction angle by manipulating the pitch length through the use of oblique helicoidal state of chiral nematics. However, the experimental results did not show this phenomenon. The thesis speculates that the small Q value prevents the diffraction angle from being related to the pitch length and slanted angle, and instead, it depends on the wavelength and the grating′s periodicity and refractive index of LCs. In addition, this study also found that OHPVGs can address the issue of a short-wavelength increase in the reflection spectrum of homogeneous alignment of the oblique helicoidal state of chiral nematics under an applied electric field. Chapter 6 of this thesis proposes some solutions and outlines potential research directions in the future.

關鍵字(中)

★ 液晶

關鍵字(英)

★ liquid crystal

論文目次

摘要 I
Abstract II
誌謝 IV
目錄 V
圖目錄 X
符號說明 XVIII
第一章緒論 1
§1-1前言 1
§1-2研究動機 1
§1-3文獻回顧 2
§1-4論文架構 4
第二章液晶簡介 6
§2-1液晶介紹 6
§2-2液晶分類 7
§2-2-1棒狀液晶 8
§2-2-2圓盤狀液晶 13
§2-3液晶之光電特性 14
§2-3-1光學異向性(Optical Anisotropy, ∆n) 14
§2-3-2介電異向性(Dielectric Anisotropy, ∆ε) 18
§2-3-3連續彈性體理論 19
§2-3-4溫度對向列型液晶的影響 20
§2-3-5 Fréedericksz Transition 21
第三章實驗相關理論 22
§3-1 傾斜螺旋態結構(Oblique Helicoidal State) 22
§3-2液晶二聚體(Liquid Crystal Dimer) 23
§3-3偏振 24
§3-3-1線偏振與圓偏振 26
§3-3-2 史托克斯向量Stokes Vector 26
§3-4布拉格體積光柵(Volume Bragg Grating) 27
§3-4-1偏振體積光柵 27
§3-5干涉(Interference) 30
§3-5-1雙圓偏振干涉 31
§3-5-2雙線偏振干涉 33
§3-6 偶氮染料(Azo Dye) 35
§3-6-1 光激發同素異構化(Photo-isomerization) 35
§3-6-2正力矩效應(Positive Torque Effect) 36
§3-6-3負力矩效應(Negative Torque Effect) 37
第四章實驗方法與流程 38
§4-1 材料介紹 38
§4-1-1向列型液晶 38
§4-1-2手性分子 39
§4-1-3液晶二聚體(Liquid Crystal Dimer) 40
§4-1-4 Brilliant Yellow (BY) 40
§4-2液晶基板配向與液晶盒製作 41
§4-3實驗架設 43
§4-3-1液晶空盒間隙之量測 43
§4-3-2 BY光配向膜之光配向製程(製作偏振體積光柵) 45
§4-3-3偏振體積光柵(PVG)繞射光之史托克參數(Stoke Parameter)量測 46
§4-3-4偏光顯微鏡與樣品觀測 47
第五章實驗結果與討論 49
§5-1 電控傾斜螺旋態之膽固醇液晶 49
§5-1-1施加交流電場對傾斜螺旋態之膽固醇液晶反射頻譜之影響 49
§5-1-2溫度對傾斜螺旋態膽固醇液晶之影響 59
§5-2 正型膽固醇液晶之偏振體積光柵光學特性量測 70
§5-2-2 Q參數(Q parameter) 80
§5-3 傾斜螺旋態膽固醇液晶之偏振體積光柵 84
§5-3-1 施加電壓於不同溫度下之OHPVGs 84
§5-3-2 OHPVGs之傾斜角量測 94
§5-3-3 OHPVGs繞射光光學特性 98
第六章結論與未來展望 101
§6-1結論 101
§6-2未來展望 103
參考文獻 105

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指導教授

鄭恪亭(Ko-Ting Cheng)

審核日期

2023-8-11

推文