Unconventional systems that adopt the concept of ghost schemes have led to advancements in some imaging applications. However, their application in quantitative phase imaging remains a challenge. Here, we introduce a basis for quantitative phase imaging with ghost diffraction and demonstrate ghost diffraction holographic microscopy for complex-valued imaging. We achieve this by introducing an off-axis holography approach in the modified ghost diffraction system. We also realize a correlation hologram in the cross-correlation of intensities from two detectors in the modified ghost diffraction setup and digitally process the correlation hologram to image complex-valued objects. To generate experiment results, we use a modified interferometer setup and exploit the spatial statistics of the scattered field from a time-frozen pseudothermal light source. Finally, we evaluate the efficacy of the approach by simulation and follow that with experiments that demonstrate imaging of pure phase objects, planar transparencies, and resolution test targets, among others.

中文翻译：

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幽灵衍射全息显微镜

采用重影方案概念的非常规系统导致了某些成像应用的发展。然而，它们在定量相成像中的应用仍然是一个挑战。在这里，我们介绍了利用重影衍射进行定量相位成像的基础，并展示了用于复数值成像的重影全息照相显微镜。我们通过在改进的重影衍射系统中引入离轴全息方法来实现这一目标。我们还通过改进的重影衍射设置中两个检测器的强度互相关来实现相关全息图，并对相关全息图进行数字处理以对复杂值的对象成像。为了产生实验结果，我们使用改进的干涉仪设置并利用时间冻结的伪热光源对散射场的空间统计。