手性介质中后向散射米勒矩阵特性及其在血糖无创检测中的应用初探

Backscattered Mueller matrix patterns of optically active media and its application in noninvasive glucose monitoring

利用斯托克斯-米勒矩阵表述分析偏振光在手性介质中的传输规律,利用瑞利近似下的单次散射模型和基于米氏散射理论的多次散射的蒙特卡罗方法,探讨葡萄糖对后向散射偏振光传输特性的影响,计算了不同葡萄糖浓度下的后向散射米勒矩阵.结果表明在含有葡萄糖的手性介质中后向散射米勒矩阵的若干矩阵元表现出微弱的旋光效应,旋光度随葡萄糖浓度增大而增大.为了检测低浓度下微小的旋光变化,定义了函数对含-不含葡萄糖的米勒矩阵元图像进行处理,提取由葡萄糖引入的图像差异.结合无创血糖检测应用要求,分析了葡萄糖生理浓度下的矩阵元图像,获得的旋光程度与葡萄糖浓度近似成比例.

In this paper Stokes/Mueller formula was used to trace the polarization state of photon packet. Single scattering model and Monte Carlo method were used to investigate the influence of glucose on polarized light in turbid media. Some Mueller matrix elements show optical rotation in the presence of glucose. Using image subtraction and integration, an approximately linear relationship between low glucose concentration in the physiological range and optical rotation degree was found.