漫射光谱技术对生物组织进行快速和无创测量具有非常重要的意义,但精确解析解的缺乏限制了该技术的有效应用。基于Monte Carlo模拟数据研究了一个适用于小孔径测量漫反射的半经验解析模型,建立了反射率随孔径和生物组织折射率变化的函数关系,并利用该模型反演了生物介质光学参量,对其适用范围进行了分析。与基于扩散近似模型的繁琐解析表达式相比,该模型不仅数学形式简单,而且能够用于光源附近辐射场的测量。
Optical diffuse spectroscopy is crucial in quick and non-invasive measurement of biological tissues.However, the lack of exact analytical solution limits its applications. A semi-empirical formula of diffuse reflectance measured via small apertures is elaborated on the basis of Monte Carlo method, and a function relation between the reflectivity and the aperture, relative refractive index is created. Based on this semi-empirical formula, the inversion of optical parameters of turbid biological media is performed and its application range is analyzed.Compared to the expression of diffusion approximation, the proposed analytical formula is mathematically simple and suitable for the measurement of radiation field near the light source.