Xu Min
Department of Physics, Fairfield University, 1073 North Benson Road, Fairfield, Connecticut 06824, USA.
Opt Express. 2011 Oct 24;19(22):21643-51. doi: 10.1364/OE.19.021643.
The scattering-phase theorem states that the values of scattering and reduced scattering coefficients of the bulk random media are proportional to the variance of the phase and the variance of the phase gradient, respectively, of the phase map of light passing through one thin slice of the medium. We report a new derivation of the scattering phase theorem and provide the correct form of the relation between the variance of phase gradient and the reduced scattering coefficient. We show the scattering-phase theorem is the consequence of anomalous diffraction by a thin slice of forward-peaked scattering media. A new set of scattering-phase relations with relaxed requirement on the thickness of the slice are provided. The condition for the scattering-phase theorem to be valid is discussed and illustrated with simulated data. The scattering-phase theorem is then applied to determine the scattering coefficient μs, the reduced scattering coefficient μ's, and the anisotropy factor g for polystyrene sphere and Intralipid-20% suspensions with excellent accuracy from quantitative phase imaging of respective thin slices. The spatially-resolved μs, μ's and g maps obtained via such a scattering-phase relationship may find general applications in the characterization of the optical property of homogeneous and heterogeneous random media.
散射相位定理表明，体随机介质的散射系数和约化散射系数的值分别与穿过介质一薄片的光相位图的相位方差和相位梯度方差成正比。我们报告了散射相位定理的一种新推导，并给出了相位梯度方差与约化散射系数之间关系的正确形式。我们表明散射相位定理是前向峰值散射介质薄片异常衍射的结果。提供了一组对薄片厚度要求放宽的新散射相位关系。讨论了散射相位定理成立的条件并用模拟数据进行了说明。然后将散射相位定理应用于通过对各薄片进行定量相位成像，以极高的精度确定聚苯乙烯球和20%脂质乳剂悬浮液的散射系数μs、约化散射系数μ's和各向异性因子g。通过这种散射相位关系获得的空间分辨μs、μ's和g图可能在均匀和非均匀随机介质光学性质表征中找到广泛应用。
