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Role of the null space of the DRM in the performance of modulated polarimeters

机译：DRM零空间在调制偏振计性能中的作用

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Imaging polarimeters infer the spatial distribution of the polarization state of the optical field as a function of time and/or wavelength. A polarimeter indirectly determines the polarization state by first modulating the intensity of the light field and then demodulating the measured data to infer the polarization parameters. This Letter considers passive Stokes parameter polarimeters and their inversion methods. The most widely used method is the data reduction matrix (DRM), which builds up a matrix equation that can be inverted to find the polarization state from a set of intensity measurements. An alternate strategy uses linear system formulations that allow band limited reconstruction through a filtering perspective. Here we compare these two strategies for overdetermined polarimeters and find that design of the null space of the inversion operator provides degrees of freedom to optimize the trade off between accuracy and signal-to-noise ratio. We further describe adaptive filtering techniques that could optimize the reconstruction for a particular experimental configuration. This Letter considers time-varying Stokes parameters, but the methods apply equally to polarimeters that are modulated in space or in wavelength.
机译：成像偏振计推断出光场的偏振态的空间分布是时间和/或波长的函数。偏振计通过首先调制光场的强度然后解调测量数据以推断偏振参数来间接确定偏振状态。这封信考虑了无源斯托克斯参数旋光仪及其反演方法。最广泛使用的方法是数据缩减矩阵（DRM），它建立了一个矩阵方程，可以将其求反以从一组强度测量值中找到偏振态。一种替代策略使用线性系统公式，该公式允许通过滤波角度进行有限的频带重建。在这里，我们比较了两种用于超定偏振器的策略，发现反转算子零空间的设计提供了自由度，可以优化精度和信噪比之间的平衡。我们进一步描述了自适应滤波技术，可以优化特定实验配置的重建。这封信考虑了时变的斯托克斯参数，但是这些方法同样适用于在空间或波长上调制的偏振计。

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