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研究生： 蔡智宇
Cai, Zhi-Yu
論文名稱： 利用旋轉元件設計高精準度穆勒矩陣旋光儀及濃度量測系統
Utilizing Rotating Component to Design Highly Accurate and Precise Mueller Matrix Polarimeter and Concentration Measurement System
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： 2021
畢業學年度： 109
語文別： 英文
論文頁數： 76
中文關鍵詞： 穆勒矩陣旋光儀 、雙旋轉器設計 、誤差分析
外文關鍵詞： Mueller matrix polarimeter, Dual-rotator design, Error analysis
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    • 在本文中，大致可以分為兩部分。首先，提出了一種基於雙旋轉器系統的高精準度的穆勒矩陣旋光儀。而在第二部分提出了從雙旋轉器旋光儀簡化的單旋轉器旋光儀系統，用於提取與旋光角相關的特徵。
    旋光儀計算的穆勒矩陣元素的精準度仍然是測量中的關鍵問題。一個使雙旋轉系統達到更好精準度的方法將呈現在此論文中。本文所提出的方法更簡單有效，不僅可以排除背景光干擾和光源強度波動，還可以利用不連續旋轉的方式控制兩個旋轉的延遲片之間的速度比維持為 1:5並且完全同步。為了驗證所提出的方法，以空氣為樣本進行了模擬和實驗。根據實驗結果，穆勒矩陣元素的最大誤差和最大標準差可以分別控制在 (_-^+)0.0102 和 (_-^+)0.0008，量測時間約為 1 分鐘。此外，以穿透模式進行的量測也利用此高精準度穆勒矩陣旋光儀進行實驗，實驗結果表明，所提出的方法可以有效地在樣品溶液長度為 40 mm的情況下將量測的旋光角的最大偏差降低到 0.0388 度。

    In this thesis, it can be roughly divided to two portions. First, a highly accurate and precise Mueller matrix polarimeter is proposed based on dual-rotator system. Besides, the one rotator polarimeter simplified from dual-rotator for extracting features related to optical rotation angle is proposed in the second part.
    The accuracy and precision of Mueller matrix elements extracted by a polarimeter is still the critical problem in measurements. An effective procedure in a two-rotating system to achieve the better accuracy and precision is present. The proposed methodology is more simple and effective with not only the compensation for background noise and light source intensity fluctuation, but also synchronization between two rotating retarders with speed ratio of 1:5 by controlling two rotators in discontinuous rotation. In order to verify the proposed methodology, simulations and experiments are conducted with air as the sample. As a result, the Mueller elements’ maximum error and maximum standard deviation can be controlled in (_-^+)0.0102 and (_-^+)0.0008, respectively with time response around 1 minute. Furthermore, the transmission mode of the proposed system is tested, and experimental results show that the proposed methodology can effectively improve the maximum deviation of optical rotation angle down to 0.0388 degree with path length of 40 mm.

    Abstract III 中文摘要 V 致謝 VI List of Figures IX List of Tables XI Chapter 1 Introduction 1 1.1 Preface 1 1.2 Review of Non-invasive Glucose Monitoring System 3 1.3 Review of Mueller Matrix Polarimeter and its Error Analysis 6 1.4 Review of Neural Network Algorithm [17] 8 1.5 Review of Partial Least Squares Regression [18] 10 1.6 Overview of the Thesis 14 Chapter 2 Dual-Rotator Mueller Matrix System 16 2.1 Theoretical Background of Dual-Rotator Mueller Matrix System 16 2.2 Systematic Error Analysis of Dual-Rotator Mueller Matrix Polarimeter 20 2.2.1 Misalignment and Retardance Errors 20 2.2.2 Error from Synchronization between Two Rotating Stages 30 2.3 Environmental Error Analysis of Dual-Rotator Mueller Matrix Polarimeter 34 2.3.1 Background Noise 34 2.3.2 Light Source Fluctuation 36 2.4 Rotational Angle Extraction by Differential Mueller Matrix Polarimeter 40 2.5 Experimental Results of Transmission Mode of a Mueller Matrix Polarimeter in Sugar Water Measurements 42 2.6 Conclusions of Chapter 2 45 Chapter 3 One Rotator Feature Extraction System 46 3.1 Methodology 46 3.1.1 Fourier Expansion method 46 3.1.2 Intensity subtraction in two polarization states 50 3.2 Simulations 52 3.3 Experimental setup and results 57 3.3.1 Phantom preparation 57 3.3.2 Experimental setup 58 3.3.3 Results of two features 60 3.3.4 Neural Network and Partial Least Squares Regression Algorithm 64 3.4 Conclusions of Chapter 3 69 Chapter 4 Conclusions and future works 70 4.1 Conclusions of This Thesis 70 4.2 Future Works 72 References 73

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