Hyde Milo W
J Opt Soc Am A Opt Image Sci Vis. 2020 Feb 1;37(2):257-264. doi: 10.1364/JOSAA.381772.
We develop a method to synthesize any partially coherent source (PCS) with a genuine cross-spectral density (CSD) function using complex transmittance screens. Prior work concerning PCS synthesis with complex transmittance screens has focused on generating Schell-model (uniformly correlated) sources. Here, using the necessary and sufficient condition for a genuine CSD function, we derive an expression, in the form of a superposition integral, that produces stochastic complex screen realizations. The sample autocorrelation of the screens is equal to the complex correlation function of the desired PCS. We validate our work by generating, in simulation, three PCSs from the literature-none has ever been synthesized using stochastic screens before. Examining planar slices through the four-dimensional CSD functions, we find the simulated results to be in excellent agreement with theory, implying successful realization of all three PCSs. The technique presented herein adds to the existing literature concerning the generation of PCSs and can be physically implemented using a simple optical setup consisting of a laser, spatial light modulator, and spatial filter.
我们开发了一种方法，使用复透射率屏来合成具有真实交叉谱密度（CSD）函数的任何部分相干源（PCS）。先前关于用复透射率屏合成PCS的工作主要集中在生成谢尔模型（均匀相关）源。在此，利用真实CSD函数的充要条件，我们推导了一个以叠加积分形式表示的表达式，该表达式可产生随机复屏实现。屏的样本自相关等于所需PCS的复相关函数。我们通过在模拟中生成文献中的三个PCS来验证我们的工作——以前从未使用随机屏合成过这些PCS。通过检查四维CSD函数的平面切片，我们发现模拟结果与理论非常吻合，这意味着成功实现了所有三个PCS。本文提出的技术丰富了有关PCS生成的现有文献，并且可以使用由激光器、空间光调制器和空间滤波器组成的简单光学装置进行物理实现。
