Robust models for single-fiber reflectance (SFR) are relatively complex [Opt. Lett. 45, 2078 (2020) [CrossRef] ] due to overlapping of the illumination and collection areas that entails probability weighting of the spatial integration of photon-remission. We demonstrate, via analytical means for limiting cases and Monte Carlo simulation of broader conditions, that diffuse photon-remission collected by single-fiber geometry may be scaled over the center-illuminated photon-remission. We specify for a medium revealing Henyey–Greenstein (HG) scattering anisotropy that the diffuse photon-remission from a sub-diffusive area of a top-hat illumination is ${\sim}{84.9}\%$ of that collected over the same area when under a centered-illumination. This ratio remains consistent over a reduced-scattering fiber-size product of $\mu _s^\prime {d_{\text{fib}}} = [{{{10}^{- 5}},{{10}^0}}]$, for absorption varying 3 orders of magnitude. When applied to hemoglobin oxygenation changes induced in an aqueous phantom using a 200 µm single-fiber probe, the center-illumination-scaled model of SFR produced fitting results agreeing with reference measurements.

中文翻译：

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与单光纤几何相关的漫射光子反射可能是在中心照明下时在同一区域收集的光子的简单缩放

单光纤反射率 (SFR) 的稳健模型相对复杂 [Opt. 莱特。45 , 2078 (2020) [CrossRef] ] 由于照明和收集区域的重叠，这需要对光子发射的空间积分进行概率加权。我们通过极限情况的分析方法和更广泛条件的蒙特卡罗模拟证明，单纤维几何收集的漫射光子发射可以在中心照明光子发射上进行缩放。我们为揭示 Henyey-Greenstein (HG) 散射各向异性的介质指定了来自顶帽照明的亚漫射区域的漫反射光子反射为${\sim}{84.9}\%$在集中照明下收集在同一区域的。这个比率在$\mu _s^\prime {d_{\text{fib}}} = [{{{10}^{- 5}},{{10}^} 0}}]$，用于吸收变化 3 个数量级。当使用 200 µm 单纤维探头应用于水性体模中引起的血红蛋白氧合变化时，SFR 的中心照明比例模型产生的拟合结果与参考测量结果一致。