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研究生：	陳柏郡 Chen, Po-Chun
論文名稱：	繆勒矩陣偏光儀於光學非等向性材料特性分析之研究 Mueller-matrix-based Polarimeter for the Determination of the Properties of Optically Anisotropic Materials
指導教授：	羅裕龍 Lo, Yu-Lung
學位類別：	碩士 Master
系所名稱：	工學院 - 機械工程學系 Department of Mechanical Engineering
論文出版年：	2009
畢業學年度：	97
語文別：	英文
論文頁數：	120
中文關鍵詞：	偏光儀、史托克參數法、繆勒矩陣、光學非等向性材料
外文關鍵詞：	Polarimeter, Optically Anisotropic materials, Stokes Parameters, Mueller Matrix
相關次數：	點閱：109 下載：2
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本研究發展繆勒矩陣偏光儀來量測光學非等向性材料之光學參數；此量測技術於線性雙折射、線性雙向衰減、以及旋性雙折射結合的材料數學模型中，成功解出主軸角度(α)、相位延遲(β)、雙向衰減角度(θd)、雙向衰減(D)、以及旋光角(γ)。此五個參數α，β，θd，γ，D的動態量測範圍為0°~180°，0°~180°，0°~180°，0°~180°以及0~1，其中可看出相位延遲(β)無法全域量測。
由文獻回顧得知，此研究在求解線性雙折射與線性雙向衰減所結合的材料數學模型中，第一個發展出讓線性雙折射與線性雙衰減材料解法分開的演算法。本研究亦成功模擬單模光纖的光纖參數，並經實驗驗證。除此之外，此研究利用新提出的模型可以將偏光儀引進到光纖量測法中，並成功的分析複雜的光纖偏光儀系統中的史托克參數。綜觀，此研究成果將會對於非等向性材料如光學薄膜以及生醫組織的研究，踏出重要一步。

A new technique to measure optically anisotropic materials by Mueller matrix and Stokes parameters using a polarimeter is proposed. The measuring technique to determine the principal axis angle (α), retardance (β), diattenuation axis angle (θd), diattenuation (D), and optical rotation angle (γ) in the linear birefringence, linear diattenuation, and circular birefringence is successfully extracted by an analytical model. The dynamic range of five parameters α, β, θd, γ, and D are 0°~180°, 0°~180°, 0°~180°, 0°~180°, and 0~1, respectively, and only β is not in the full range.
From author’s knowledge, this is the first finding that the linear birefringence and linear diattenuation could decouple in the analytical model. Five optical parameters of a single-mode fiber are extracted simultaneously and successfully. Also, a complex polarimetric system with an optical fiber is first quantitatively analyzed in Stokes parameters successfully by using this new proposed model. In conclusion, this could be an important step for researches on anisotropic materials like optical thin films or bio-tissues.

Abstract..	I
中文摘要	II
Table of Contents	III
List of Figures	VII
List of Tables	XII

Chapter 1 Introduction	1
1 Preface	1
2 Review of the Diattenuation Measurement	1
3 Review of the Optical Activity Measurement	8

Chapter 2 Birefringence Materials and Diattenuation Materials	10
1 The Optical Properties of Linear Birefringence	10
2 Phase Retardation	16
3 Diattenuation Materials	19
4 Circular Birefringence Materials	20

Chapter 3 Basic Theory	24
1 Stokes Parameter Method	24
2 Jones matrix transform to Mueller matrix	26

Chapter 4 Measurement of Linear Birefringence and Linear Diattenuation	31
1 Basic Stokes Parameter Method of Sample with Linear Birefringence and Linear Diattenuation	31
1.1 Determination of Linear Birefringence of Sample	36
1.2 Determination of Linear Diattenuation of Sample	39
2 Error Analysis of Sample with Linear Birefringence and Linear Diattenuation	41
2.1 Zero Stokes Error Analysis	42
2.2 0%-0.5% Stokes Error Analysis	46
2.2.1 Proper Linear Birefringence and Linear Diattenuation	47
2.2.2 Little Linear Diattenuation	48
2.2.3 Little Linear Birefringence	50

Chapter 5 Measurement of Linear Birefringence, Linear Diattenuation, and Circular Birefringence	52
1 Basic Stokes Parameter Method of Sample with Linear Birefringence, Linear Diattenuation, and Circular Birefringence	52
2 Error Analysis of Sample with Linear Birefringence and Linear Diattenuation	58
2.1 Zero Stokes Error Analysis	58
2.2 0%-0.5% Stokes Error Analysis	63
2.2.1 Proper Linear Birefringence, Linear Diattenuation, and Circular Birefringence	64
2.2.2 Little Linear Diattenuation	65
2.2.3 Little Linear Birefringence	67
2.2.4 Little Circular Birefringence	69
Chapter 6 Measurement of Linear Birefringence with Fiber-type Polarimetric System	71
1 Basic Stokes Parameter Method of Measuring Linear Birefringence with Fiber-type Polarimetric System	71
2 Genetic Algorithm Model for Extracting Linear Birefringence Sample	73
3 Optical Activity Effect in Fiber-type Polarimetric System	80
3.1 Assuming Fiber with 15°, 30° or 60° Optical Rotation Angle	80

Chapter 7 Experimental Setup and Results	85
1 Experimental Setup and Results in Sample with Linear Birefringence and Linear Diattenuation	85
1.1 Experimental Setup in Sample with Linear Birefringence and Linear Diattenuation	85
1.2 Experimental Results in Sample with Linear Birefringence and Linear Diattenuation	89
1.2.1 Experimental Results of Quarter Waveplate with Little Diattenuation	89
1.2.2 Experimental Results of a Polarizer with Little Birefringence	91
1.2.3 Experimental Results of a Baked Polarizer	93
1.2.4 Experimental Results of a Composite Sample with a Quarter Waveplate and a Baked Polarizer	95
2 Experimental Setup and Results in Sample with Linear Birefringence, Linear Diattenuation, and Optical Activity	96
2.1 Experimental Setup in Sample with Linear Birefringence, Linear Diattenuation, and Optical Activity	96
2.2 Experimental Results in Sample with Linear Birefringence, Linear Diattenuation, and Optical Activity	99
3 Experimental Setup and Results of Linear Birefringence Sample with Fiber-type Polarimetric System	103
3.1 Experimental Setup of Fiber-type Polarimetric System for Measuring Linear Birefringence Sample	103
3.2 Experimental Results of Fiber-type Polarimetric System for Measuring a Linear Birefringence Sample	105
3.2.1 Fiber without Considering Optical Activity	105
3.2.2 Fiber Considering Optical Activity	107

Chapter 8 Conclusions and Future work	111
1 Conclusions	111
1.1 Conclusions of Sample with Linear Birefringence and Linear Diattenuation	111
1.2 Conclusions of Sample with Linear Birefringence, Linear Diattenuation, and Optical Activity	112
1.3 Conclusions of Fiber-type Polarimetric System for Measurement Linear Birefringence Sample	112
2 Future work	113
Bibliography	115
Autobiography	120
                                    

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Bibliography of Website:
A. http://www.hindsinstruments.com
B. http://www.meadowlark.com

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