Abstract

Diffuse reflectance spectroscopy is one of the simplest and widely used techniques for the non-invasive study of biological tissues but no exact analytical solution exists for the problem of diffuse reflectance from turbid media such as biological tissues. In this work, a general treatment of the problem of diffuse reflectance from a homogeneous semi-infinite turbid medium is presented using Monte Carlo simulations. Based on the results of the Monte Carlo method, simple semi-empirical analytical solutions are developed valid for a wide range of collection geometries corresponding to various optical detector diameters. This approach may be useful for the quick and accurate modeling of diffuse reflectance from tissues.

Highlights

  • Many studies in biomedical optics have employed diffuse reflectance spectroscopy for the non-invasive characterization and analysis of biological tissues

  • No exact analytical solution exists for the problem of light propagation in turbid media such as biological tissues

  • Several studies have introduced relatively simple models, which are designed for specific probe geometries [3,4], with some of them being empirical or semi-empirical in nature while others are based on a relatively simple solution of the diffusion approximation utilizing the method of images [5]

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Summary

Introduction

Many studies in biomedical optics have employed diffuse reflectance spectroscopy for the non-invasive characterization and analysis of biological tissues. Several studies have introduced relatively simple models, which are designed for specific probe geometries [3,4], with some of them being empirical or semi-empirical in nature while others are based on a relatively simple solution of the diffusion approximation utilizing the method of images [5]. Significant acceleration using graphics processing units (GPU) has been possible [10,11,12]. Overall, these improvements yield an advantage of several orders of magnitude faster execution, making MC simulations a very appealing technique. At least one study has recently been published utilizing a MC method in the forward mode in lieu of an analytical solution [13]

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