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Finite element simulation of light transfer in turbid media under structured illumination

机译：结构化照明下混浊介质中光传输的有限元模拟

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Spatial-frequency domain (SFD) imaging technique allows to estimate the optical properties of biological tissues in a wide field of view. The technique is, however, prone to error in measurement because the two crucial assumptions used for deriving the analytical solution to diffusion approximation cannot be met perfectly in practical applications. This research was mainly focused on modeling light transfer in turbid media under the normal incidence of structured illumination using finite element method (FEM). Finite element simulations were performed for 50 simulation samples with different combinations of optical absorption and scattering coefficients for varying spatial frequencies, and the results were then compared with analytical method and Monte Carlo simulation. Relationships between diffuse reflectance and dimensionless absorption and dimensionless scattering coefficients were investigated. The results indicated that FEM provided reasonable results for diffuse reflectance, compared with the analytical method. Both FEM and analytical method overestimated the reflectance for μ_(tr)/f_x values of greater than 2 and underestimated the reflectance for μ_(tr)/f_x values of smaller than 2. Larger values of μ_s~'/μ_a yielded better estimations of diffuse reflectance than did those of smaller than 10. The reflectance increased nonlinearly with the dimensionless scattering, whereas the reflectance decreased linearly with the dimensionless absorption. It was also observed that diffuse reflectance was relatively stable and insensitive to μ_s~' when the dimensionless scattering was larger than 50. Overall results demonstrate that FEM is effective for modeling light transfer in turbid media and can be used to explore the effects of crucial parameters for the SFD imaging technique.
机译：空间频域（SFD）成像技术可在广阔的视野中估计生物组织的光学特性。但是，由于在实际应用中不能完美地满足用于推导扩散近似的解析解的两个关键假设，因此该技术容易出现测量误差。这项研究主要集中在使用有限元方法（FEM）对结构化照明的法向入射下混浊介质中的光传输进行建模。对50个模拟样品进行了有限元模拟，这些样品在不同的空间频率下具有不同的光吸收系数和散射系数组合，然后将结果与分析方法和蒙特卡洛模拟进行比较。研究了漫反射率与无因次吸收和无因次散射系数之间的关系。结果表明，与分析方法相比，有限元法为漫反射提供了合理的结果。 FEM和分析方法都高估了大于2的μ_（tr）/ f_x值的反射率，而低估了小于2的μ_（tr）/ f_x值的反射率。较大的μ_s〜'/μ_a值可以更好地估计漫反射。反射率小于小于10的反射率。反射率随无因次散射呈非线性增加，而反射率随无因次吸收呈线性下降。还观察到，当无因次散射大于50时，漫反射率相对稳定，并且对μ_s〜'不敏感。总体结果表明，有限元法对于模拟浑浊介质中的光传输是有效的，可用于探索关键参数的影响用于SFD成像技术。

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