Snapshot channeled polarimeters forgo temporal modulation in favor of modulating polarization information in either space or wavenumber. We have recently introduced methodologies for describing both channeled and partial polarimeters. In this paper, we focus on the nine-reconstructables design, which limits the resolution loss by reducing the number of carriers. The architecture offers a number of favorable trade-offs: a factor of 5.44 increase in spatial bandwidth or a factor of 3.67 increase in spectral bandwidth, for a smaller amount of temporal bandwidth loss as dictated by the number of snapshots taken. The multi-snapshot structured decomposition given here allows one to analytically shape the measured space with optimal noise characteristics and minimum system complexity. A two-snapshot system can measure a premeditated set of 14 reconstructables; we provide the null space for the subset of optimal systems that also achieve better SNR than the baseline single-snapshot system. A three-snapshot system can measure all 16 Mueller elements while offering an overall 26.3% or 50.4% better bandwidth-SNR figure of merit for the spectral and spatial systems, respectively. Finally, four-snapshot systems provide diminishing returns, but may be more implementable.

中文翻译：

---

多快照九种可重构Mueller矩阵旋光仪的结构分解。

快照通道偏振仪放弃了时间调制，而倾向于在空间或波数中调制偏振信息。我们最近介绍了用于描述通道偏振仪和部分偏振仪的方法。在本文中，我们关注于九种可重构设计，该设计通过减少载流子的数量来限制分辨率损失。该体系结构提供了许多有利的折衷方案：空间带宽增加了5.44倍，频谱带宽增加了3.67倍，对于较小的时间带宽损失（由拍摄的快照数量决定）。此处给出的多快照结构分解使人们能够以最佳的噪声特性和最小的系统复杂性来分析测量空间的形状。两张快照的系统可以测量一组14个可重构物体的预谋。我们为最优系统的子集提供了零空间，该子集也比基线单快照系统获得了更好的SNR。一个三快照系统可以测量所有16个Mueller元素，同时分别为光谱和空间系统提供26.3％或50.4％的整体带宽SNR品质因数。最后，四快照系统提供的收益递减，但可能更易于实施。