Wasik Valentine, Réfrégier Philippe, Roche Muriel, Brasselet Sophie
J Opt Soc Am A Opt Image Sci Vis. 2015 Aug 1;32(8):1437-45. doi: 10.1364/JOSAA.32.001437.
The estimation of parameters in polarization-resolved two-photon microscopy response perturbed by photon noise is analyzed in the context of second harmonic generation for the distribution of molecules presenting cylindrical symmetry. The estimation task is investigated using the Cramer-Rao lower bound for Poisson photon noise. It is shown that a noniterative technique can lead to estimation results that have good efficiencies for most of the physical possible values of the sample parameters for sufficiently high photon levels. The trade-off, between the number of incident polarization states and the total number of measured photons, that can be obtained with the Cramer-Rao lower bound is also discussed.
在二次谐波产生的背景下，针对具有圆柱对称性的分子分布，分析了受光子噪声干扰的偏振分辨双光子显微镜响应中参数的估计问题。利用泊松光子噪声的克拉美 - 罗下界研究了估计任务。结果表明，对于足够高的光子水平，一种非迭代技术可以得到对样本参数的大多数物理可能值具有良好效率的估计结果。还讨论了利用克拉美 - 罗下界在入射偏振态数量和测量光子总数之间进行权衡的问题。
