可調焦介電式液態透鏡，目前已達成微小化且搭載於各式電子產品之中。如何用最快速方式預測液態透鏡內的液珠行為，將是一項重要的角色。液態透鏡內兩種液體間的重力影響因素，可藉由讓兩液維持等密度而消除；其餘表面張力、介電力與摩擦力，則受到液體基本特性及環境的影響(如：施加電壓大小)，因需進一步的探討。
由於實驗測試上，如針對各種配方的混合液體進行測試，將是一項勞心勞力的大工程。有鑒於此，本論文欲以能量轉換的觀點，進而建立出介電式液態透鏡之非線性LEM模型，包括擬合準確度高的液體基本性質公式(密度、表面張力、界面張力、折射度、介電常數與黏度)，以及液體性質與液態透鏡中各個變因(如：接觸角、驅動電壓)之間的相關性。使之後的實驗得以快速分析封裝特定液體時，最適切之液態透鏡參數；期許能有效地減少材料或試品上的花費，用最少的實驗成本，模擬及展現出最佳的實驗成果
有關液體基本性質公式的擬合，依照實驗結果，密度、表面張力、界面張力、折射度、介電常數與黏度，分別得以線性(醇水混合溶液則為二次多項式函數)、對數函數、對數函數、線性、二次多項式函數與指數函數進行擬合。
至於接觸角與驅動電壓之間的相關性，依照實驗結果，無論是改變工作液體或封裝液體配方，驅動電壓對液珠的接觸角餘弦值，其結果皆與理論值的趨勢線相符，而電壓對液珠的接觸角餘弦值，則可以線性函數歸納。

Focus tunable dielectric liquid lens, its size is miniaturized and is applied to kinds of electrical products now. Hence, the way to quickly predict the behavior of the droplet of the liquid lens becomes important. In the dielectric liquid lens, the gravitational factor of two immiscible liquids could be eliminated by identical/similar density. Other forces, such as surface tension force, dielectric force, friction, are affected by liquid basic properties and environments, for example, actuating voltage, so that it should be discussed more deeply.
It will be a time consuming work if we test every different kind of liquid mixture. In this study, we try to use the view of energy transferring and built a nonlinear lumped element model of dielectric liquid lens, including equation fittings of basic liquid property, such as density, surface tension, interfacial surface tension, refraction, dielectric constant and viscosity, and the relationship between basic liquid properties and parameters of dielectric liquid lens like contact angle and actuating voltage. By doing so, we could quickly choose the appropriate parameters and conduct the experiment, instead of time and material waste.
With regard to equation fittings of basic liquid property, density, surface tension, interfacial surface tension, refraction, dielectric constant and viscosity could be fitted in linear, logarithm, logarithm, linear, 2ndpolynomial and exponential equation, respectively.
The relationship between actuating voltage and the cosine value of the contact angle of working droplet could be fitted by 2ndpolynomial equation, based on the experimental results conforming to the trend chart of theoretical values.

中文摘要 ................................................................ii
英文摘要 ................................................................iii
目錄 ................................................................... iv
圖目錄 ................................................................. vi
表目錄 ................................................................. xi
符號表.................................................................. xii
第一章 緒論 ............................................................. 1
1.1 研究背景 .........................................................1
1.2 文獻回顧 .........................................................3
1.2.1 液態透鏡概要 ............................................... 3
1.2.2 液態透鏡的調焦機制 ......................................... 4
1.3研究動機與目標 ................................................... 6
1.4實驗架構 ......................................................... 9
1.5論文架構 ......................................................... 9
第二章 基本原理 ........................................................ 10
2.1 非線性LEM模型 (non-linear Lumped Element Model) .................10
2.2 驅動電壓(V) 對液珠的接觸角餘弦值(cosθ)公式........................ 11
2.3 密度 ............................................................13
2.3.1 兩液混合之密度公式 .........................................13
2.4 表面張力 ........................................................15
2.4.1 兩液混合之表面張力公式 .....................................16
2.5 折射率 ...........................................................17
2.5.1 兩液混合之折射率公式 .......................................17
2.6 介電常數 .........................................................18
2.6.1 兩液混合之介電常數公式 .....................................18
2.7 黏度 ............................................................19
2.7.1 兩液混合之黏度公式 .........................................19
第三章 量測儀器介紹 .....................................................21
3.1 KEM DA-645 高精度液體密度計.....................................21
3.2 LAUDA TD1C表面張力計 ..........................................21
3.3 ATAGO DR-M2/1550折射度計.......................................22
3.4 Agilent E4980A精密型LCR METER .................................23
3.5 LAUDA DV-III Ultra CP流變儀......................................23
3.6 軟體Origin Pro 8 曲線擬合..........................................24
3.7 接觸角量測系統...................................................24
第四章 實驗果與討論......................................................26
4.1 密度 .............................................................26
4.2 表面張力..........................................................32
4.3 界面張力..........................................................38
4.4 折射度............................................................40
4.5 介電常數..........................................................46
4.6 黏度..............................................................52
4.7 電壓對液珠的接觸角餘弦值(cosθ) ....................................58
第五章 結論與討論........................................................76
第六章 未來工作..........................................................77
參考文獻.................................................................78

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