Measuring the complete complex correlation matrix of a partially coherent vector beam is extremely important for transmission calculation, encryption, and decryption for free-space optical communication and optical imaging. Based on self-referencing holography, we introduce a simple and efficient setup to measure the complex-valued cross spectral density matrix of a partially coherent vector beam, without any priori assumptions or approximations of the source. To verify the feasibility of our method, 2 $\times$ 2 complex-valued cross spectral density components in the matrix function of particularly correlated radially polarized partially coherence beam have been measured. The experimental measurements are in good agreement with the theoretical model.

中文翻译：

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通过自参考全息测量部分相干矢量光束的完整复相关矩阵

测量部分相干矢量光束的完整复相关矩阵对于自由空间光通信和光学成像的传输计算、加密和解密极为重要。基于自参考全息术，我们引入了一种简单有效的设置来测量部分相干矢量光束的复值交叉谱密度矩阵，而无需对光源进行任何先验假设或近似。为了验证我们的方法的可行性，2 $\times$ 已经测量了特别相关的径向偏振部分相干光束的矩阵函数中的 2 个复值交叉谱密度分量。实验测量与理论模型非常吻合。