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Information content of point radiance measurements in turbid media: implications for interstitial optical property quantification

机译：混浊介质中点辐射度测量的信息内容：对间隙光学性质量化的影响

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摘要

Motivated by a recent report by Dickey et al. [Phys. Med. Biol. 46, 2359 (2001)], who demonstrated optical property retrieval by using relative radiance measurements at a single position, we investigate the uniqueness of relative radiance measurements for quantifying the optical properties of turbid media by studying the solutions of the diffusion and P3 approximations of the Boltzmann transfer equation for a point source. Using the P3 approximation, we investigate the potential of radiance measurements for optical property recovery by examining the optical property response surface for point radiance information. We further derive first-order similarity relations for relative point radiance measurements and use these expressions to examine analytically the effects of noise on optical property retrieval over a wide range of optical properties typical of biological tissue. Finally, optimal experimental configurations are studied and explicit conditions for uniqueness derived that suggest potential strategies for improving optical property recovery. It is expected that point radiance measurements will prove valuable for both on-line treatment planning of minimally invasive laser therapies and optical characterization of tissues.
机译：受到Dickey等人最近的报告的启发。 [物理中生物学46，2359（2001）]，他演示了通过在单个位置上使用相对辐射度测量值进行光学特性检索的方法，我们通过研究扩散和P3近似值的解来研究相对辐射度测量值用于量化浑浊介质光学特性的唯一性。点源的玻尔兹曼传递方程。使用P3近似值，我们通过检查光学特性响应面的点辐射率信息来研究辐射度测量对光学特性恢复的潜力。我们进一步推导了相对点辐射度测量的一阶相似关系，并使用这些表达式来分析地分析噪声对生物组织典型的广泛光学特性上光学特性检索的影响。最后，研究了最佳的实验配置，并得出了唯一性的明确条件，这些条件提出了改善光学性能的潜在策略。预期点辐射度测量将对微创激光治疗的在线治疗计划和组织的光学表征都具有重要意义。

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