Quantitative phase imaging (QPI) is important in many applications such as microscopy and crystallography. To quantitatively reveal phase information, people could either employ interferometric pictures for phase shift calculation, or utilize diffraction patterns for phase retrieval reconstruction. Traditionally, both of these two ways use pixelated detectors. In this work, a novel QPI scheme is designed inspired by single-pixel camera (SPC), which retrieves images using structured illumination and single-pixel signals. We use partial coherent light with phase modulation for illumination, and a point detector to detect the zero-order diffraction spectrum of the object. Based on the illumination structures and point signals, a complex value image is reconstructed using a truncated amplitude flow phase retrieval algorithm. This approach is universal for various wavelengths, and needs no a priori information of the targets. Both simulation and experiment show that our single-pixel QPI scheme exhibits great performance even with objects in an extremely rough phase distribution.

定量相位成像 (QPI) 在显微镜和晶体学等许多应用中都很重要。为了定量地揭示相位信息，人们可以使用干涉图进行相移计算，或者利用衍射图案进行相位检索重建。传统上，这两种方式都使用像素化检测器。在这项工作中，受单像素相机 (SPC) 的启发设计了一种新颖的 QPI 方案，该方案使用结构化照明和单像素信号检索图像。我们使用具有相位调制的部分相干光进行照明，并使用点检测器来检测物体的零级衍射光谱。基于照明结构和点信号，使用截断幅度流相位检索算法重建复值图像。这种方法对于各种波长是通用的，并且不需要目标的先验信息。模拟和实验都表明，我们的单像素 QPI 方案即使在非常粗糙的相位分布中也表现出很好的性能。