Hagen Nathan, Otani Yukitoshi
Appl Opt. 2018 May 20;57(15):4283-4296. doi: 10.1364/AO.57.004283.
We calculate the photometric Stokes parameter covariance matrices and SNRs estimated by polarimeters exposed to general noise distributions, such as mixed Poisson-Gaussian (PG) noise. The measurement model includes the effects of optical losses and detector quantum efficiency, enabling quantitative comparison of instruments that have different photometric efficiencies. We demonstrate this capability by comparing the performance of many common polarimeter configurations, including diattenuator-based systems, such as Azzam's four-detector polarimeter [Opt. Lett.10, 309 (1985)OPLEDP0146-959210.1364/OL.10.000309] and Kudenov's stacked photovoltaic polarimeter [Opt. Express24, 14737 (2016)OPEXFF1094-408710.1364/OE.24.014737]. Working with the full covariance matrix under mixed PG noise, we also show that instruments optimized under assumptions of Gaussian noise simultaneously exhibit optimal behavior under Poisson noise.
我们计算了暴露于一般噪声分布（如混合泊松 - 高斯（PG）噪声）下的偏振计估计的光度学斯托克斯参数协方差矩阵和信噪比。测量模型包括光学损耗和探测器量子效率的影响，从而能够对具有不同光度学效率的仪器进行定量比较。我们通过比较许多常见偏振计配置的性能来展示这种能力，包括基于衰减器的系统，如阿扎姆的四探测器偏振计[《光学快报》10, 309 (1985) OPLEDP0146 - 959210.1364/OL.10.000309]和库德诺夫的堆叠光伏偏振计[《光学快报》24, 14737 (2016) OPEXFF1094 - 408710.1364/OE.24.014737]。在混合PG噪声下使用完整的协方差矩阵，我们还表明，在高斯噪声假设下优化的仪器在泊松噪声下同时表现出最优行为。
