Opt Lett. 2013 Nov 15;38(22):4809-12. doi: 10.1364/OL.38.004809.
The van Cittert-Zernike theorem is extended to the vectorial regime based on spatial averaging over the observation plane, and experimental demonstrations are presented. The theorem connects complex vectorial source structure to the degree of coherence and polarization of the spatially fluctuating vectorial field in the far field. Experimentation is carried out by making use of the space averages as a replacement of ensemble averages for the Gaussian stochastic field. For quantitative comparison with the theorem, analytical and experimental results are presented for a rectangular aperture with different vectorial source structures.
范齐特-泽尼克定理在基于对观察平面进行空间平均的基础上扩展到了矢量领域，并给出了实验验证。该定理将复杂的矢量源结构与远场中空间波动的矢量场的相干性和偏振度联系起来。实验是通过利用空间平均来代替高斯随机场的集合平均来实现的。为了与定理进行定量比较，给出了不同矢量源结构的矩形光阑的分析和实验结果。
