本研究使用偏振光經過手性結構會旋轉的原理，設計一套無創式血糖測量的方法，這套無創式測量方法可以達到快速且無創的血糖量測。研究透過手性結構的濃度與偏轉角度的線性關係，來尋找不同波長跟偏轉角度的色散關係，並且在文獻中發現旋光量除了與波長的平方成反比，還跟兩個係數有關，分別為旋光係數(A)、色散係數(λ0)，多次重覆測量後本研究掌握兩者的數值，在重量百分比10%，光程1dm的情況下，我們測量到的旋光係數為1.8401×10^6而色散係數為172.4±1。

為了解決缺乏人體血糖濃度0%的標準樣品問題，我們設計多波長角度辨別的方法，透過使用660nm與407nm兩種波長相減，獲得相差角度，利用波長和旋光量的關係和旋光係數與濃度的線性變化，便可以得出精準的濃度值。同時為了證明系統的可靠性，實際測量10、5、3、2、1wt%的葡萄糖溶液，從實驗結果可以證明此套無創式血糖量測的誤差約為4%，而正常人在飯後血糖約(140mg/dL-200mg/dL)，目前此方法的精準度約在12mg/dL，完全足以判斷血糖濃度的正常與否。

本研究發展出全新的無創式血糖量測方法，能夠快速且精準的測量人體血糖濃度，並且透過實驗證明，此系統的精確度足以勝任血糖正常與否的判斷，是非常具有潛力的無創式測量方法。

This research uses a principle that polarized light rotates through the chiral structure to design a non-invasive blood glucose measurement method. This method can achieve fast and non-invasive blood glucose measurement. We find the dispersion relationship between different wavelengths and deflection angles through the linear relationship between the concentration of the chiral structure and the deflection angle.

It is found in the literature that the amount of optical rotation is inversely proportional to the square of the wavelength, and is related to two coefficients, respectively coefficient (A), dispersion coefficient (λ0), through the results of repeated measurements, we get the values of both. In the case of 10% by weight and 1dm of optical path, the optical rotation coefficient we measured is 1.8401×10^6 and the dispersion coefficient is 172.4±1. At the same time, solve the problem of standard samples lacking 0% of human blood glucose concentration, we designed a multi-wavelength angle discrimination method to get the difference angle by using two wavelengths of 660nm and 407nm, and to use the relationship between wavelength and the amount of optical rotation and linear relationship between the optical rotation coefficient and concentration to gives a precise concentration value.

In order to prove the reliability of the system, the measurement of 10%, 5%, 3%, 2%, 1% glucose solution, from the experimental results can prove that the error of this non-invasive blood glucose measurement is about 4%. The normal person is blood sugar after meals is about (140mg/dL-200mg/dL), the accuracy of this method is about 12mg/dL, which is enough to judge the normality of blood glucose concentration.

This research has developed a new non-invasive blood glucose measurement method that can quickly and accurately measure blood glucose concentration, and through experiments, the accuracy of this system is sufficient to judge the normality of blood glucose, is a very potential non-invasive measurement method.

摘要 I
Abstract II
目錄 III
圖目錄 V
表目錄 VIII
第一章 序論 1
1-1 前言 1
1-2 研究動機 4
第二章 基本理論 7
2-1 光的偏振 7
2-1-1 線偏振 7
2-1-2 圓偏振與橢圓偏振(部分圓偏振) 7
2-1-3 瓊斯向量與瓊斯矩陣 9
2-2 手性結構 10
2-2-1 手性結構-變旋 12
2-3 旋光理論 14
2-4 角度判別方式-極軸尋找器 Axis finder 16
2-5 光的色散 17
2-6 多波長角度判別理論 19
第三章 實驗方法與步驟 23
3-1 實驗理論與架構 23
3-2 數據討論 28
第四章 結果與討論 31
4-1 Matlab建模 31
4-2 旋光係數與濃度的關係模擬 35
4-3 實際測量與誤差 39
4-4 差異性分析 44
第五章 結論與未來展望 49
參考資料 51

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