本研究提出一個使用雙波長史托克穆勒偏光儀系統，搭配複線性回歸(MLR)，來量測具散射效應之葡萄糖濃度之技術。本研究利用兩種不同波長的光源分別輸入六道不同偏振態的入射光來取得具散射效應溶液的圓性雙折射(CB)和去偏極化指數(Dep)，並且使用電光調變器(Electro-optic modulators)以及波片(Wave plate)來製造所需的偏振態，以及使用複線性回歸的統計方法來降低系統所產生的誤差。本研究另外提出一個動態史托克穆勒量測系統，利用兩個電光調變器(Electro-optic modulators)來產生所需的偏振態，除了避免手動所造成的誤差，還可以縮短量測的時間，此外，接收端改為商用的史托克儀，並將量測到的史托克向量計算成微分穆勒矩陣，利用微分穆勒矩陣解出圓性雙折射(CB)和去偏極化指數(Dep)，實驗結果顯示圓性雙折射(CB)和葡萄糖濃度成正比，去偏極化指數(Dep)和葡萄糖濃度成反比。此系統提供更快速的量測、更高的穩定性、並且擁有目前現行系統中最好的解析度30 mg/dl。本系統具體的應用是用實驗鼠以及人類指尖來進行量測，由量測老鼠所得到的圓性雙折射(CB)跟血糖濃度成正比，去偏極化指數(Dep)和血糖濃度成反比，這個結果和具散射效應的葡萄糖溶液是吻合的，且由老鼠作為量測對象的非侵入式量測血糖值與侵入式血糖值的誤差約為 60 mg/dl，而量測人類指尖的結果方面，此系統的最大標準差為19 mg/dl，與侵入式血糖機所量測的最大值以及最小值誤差分別為47 mg/dl和0 mg/dl，而量測結果在Clarke error grid analysis中， A和 B區域內的資料點分別83.3 %和16.7 %，在A+B的區域內的資料點是100 %，而在區域C、D、E中的資料點為0 %，表示沒有任何一個資料點會使病患接受不適當的治療; 整體來說，本論文所提出的系統具有高穩定性、高解析度、量測快速等優點，展示了此光學系統對非侵入式血糖量測的潛力。

In this study, two different Stokes-Mueller polarimetry systems are proposed for extracting circular birefringence (CB) and depolarization index (Δ) of glucose solution. First system namely dual-wavelength Stokes Mueller polarimetry system utilizes two different wavelength laser sources (633nm and 532nm) and multiple linear regression (MLR) method to minimize the result deviation. Additionally, electro-optic modulators (EO) are used to reduce the system error caused by moving parts and manually adjustment. The resolution of measuring 2% phantom solution by this system is approximate 45 mg/dl. For second system, dynamic Stokes-Muller polarimetry system utilizes two electro-optic modulators to reduce the system error caused by moving parts and manually adjustment. The commercial Stokes polarimeter replaced the photo detector to simplify the system and the calibration process. The experiment results of 2% phantom solution show that the optical rotation angle (γ) increases linearly by changing of glucose concentration, while the depolarization index (Δ) decreases linearly by the changing of glucose concentration. The resolution of measuring 2% phantom solution is approximate 30 mg/dl. The practical applicability of the second system has been demonstrated by extracting optical rotation angle (γ), depolarization index (Δ) and glucose concentration of mice and human fingertip. The results of mice show that optical rotation angle (γ) increases linearly to the increasing of glucose concentration, while depolarization index (Δ) decreases linearly to the increasing glucose concentration. The estimated error of mice is approximately 60 mg/dl. For human fingertip test, the maximum error and minimum error between the proposed non-invasive method and invasive method are 47 mg/dl and 0 mg/dl, respectively. The deviation of the system for human fingertip test is 19 mg/dl. In Clarke error grid analysis, the percentages of results in Zone A and Zone B are 83.3%, 16.7%, respectively. The percentage of results in Zone (A+B) is 100%, whereas the percentage of results in Zones C, D and E are all 0%. It demonstrates that the data points from our system would not lead to inappropriate treatments for patients. In general, the proposed technique provides a potential tool for noninvasive glucose measurement in diabetes diagnosis application.

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