Voipio Timo, Setälä Tero, Friberg Ari T
Department of Applied Physics, Aalto University, P.O. Box 13500, FI-00076 Aalto, Finland.
J Opt Soc Am A Opt Image Sci Vis. 2013 Jan 1;30(1):71-81. doi: 10.1364/JOSAA.30.000071.
We introduce a consistent matrix formalism for the characterization of partial polarization and coherence of random, nonstationary electromagnetic beams in time and frequency domains. We derive the temporal and spectral degrees of polarization and the Stokes parameters in terms of the time-domain and frequency-domain polarization matrices. The connections between temporal polarization and spectral coherence on the one hand and spectral polarization and temporal coherence on the other hand are discussed. Additionally, we establish equivalence theorems for fields with different temporal coherence properties to have the same spectral polarization states and for fields with different spectral coherence properties to possess identical temporal polarization. The theory is illustrated by analyzing specific examples of time-domain and frequency-domain electromagnetic Gaussian Schell-model pulsed beams.
我们引入一种一致的矩阵形式，用于在时域和频域中表征随机、非平稳电磁光束的部分偏振和相干性。我们根据时域和频域偏振矩阵推导出偏振的时间和光谱度以及斯托克斯参数。讨论了时间偏振与光谱相干之间以及光谱偏振与时间相干之间的联系。此外，我们建立了等价定理，即具有不同时间相干特性的场具有相同的光谱偏振态，以及具有不同光谱相干特性的场具有相同的时间偏振。通过分析时域和频域电磁高斯谢尔模型脉冲光束的具体例子来说明该理论。
