Alenin Andrey S, Tyo J Scott
J Opt Soc Am A Opt Image Sci Vis. 2014 May 1;31(5):1013-22. doi: 10.1364/JOSAA.31.001013.
Channeled polarimeters measure polarization by modulating the measured intensity in order to create polarization-dependent channels that can be demodulated to reveal the desired polarization information. A number of channeled systems have been described in the past, but their proposed designs often unintentionally sacrifice optimality for ease of algebraic reconstruction. To obtain more optimal systems, a generalized treatment of channeled polarimeters is required. This paper describes methods that enable handling of multi-domain modulations and reconstruction of polarization information using linear algebra. We make practical choices regarding use of either Fourier or direct channels to make these methods more immediately useful. Employing the introduced concepts to optimize existing systems often results in superficial system changes, like changing the order, orientation, thickness, or spacing of polarization elements. For the two examples we consider, we were able to reduce noise in the reconstruction to 34.1% and 57.9% of the original design values.
通道式偏振计通过调制测量强度来测量偏振，以创建与偏振相关的通道，这些通道可以解调以揭示所需的偏振信息。过去已经描述了许多通道式系统，但它们提出的设计往往为了便于代数重建而无意中牺牲了最优性。为了获得更优的系统，需要对通道式偏振计进行广义处理。本文描述了使用线性代数处理多域调制和重建偏振信息的方法。我们在使用傅里叶通道或直接通道方面做出了实际选择，以使这些方法更具实用性。运用引入的概念优化现有系统通常只会导致表面的系统变化，比如改变偏振元件的顺序、方向、厚度或间距。对于我们考虑的两个示例，我们能够将重建中的噪声降低到原始设计值的34.1%和57.9%。
