基于线性收敛迭代优化的非干涉精确相位成像
Non-interferometric accurate phase imaging via a linear-convergence iterative optimization
摘要：
本文提出了一种非干涉的高精度定量相位成像（QPI）方法。以典型的4f光学系统作为成像系统，在物相傅里叶谱上施加三帧小窗口相位调制，在像面上产生强度重新分布的图样，其中物相以不同程度出现。然后，建立了一个代数关系，连接的对象相位和输出强度，为我们提供了一个近似的封闭形式的相位恢复。此外，一个有效的迭代优化策略的发展，把近似解到一个准确的。由于迭代的线性收敛特性，在不需要大量迭代的情况下实现了高精度的相位恢复。数值仿真和不同相位物体的实验结果验证了该方法的可行性和准确性。
英文摘要：
This paper reported a general noninterferometric high-accuracy quantitative phase imaging (QPI) method for arbitrary complex valued objects. Given by a typical 4f optical configuration as the imaging system, three frames of small-window phase modulation are applied on the object Fourier spectrum so that redistributed intensity patterns are produced on the image plane, in which the object phase emerges at different degree. Then, an algebraic relationship that connects the object phase with the output intensity is established to provide us with an approximate closed form phase recovery. Further, an efficient iterative optimization strategy is developed to turn that approximate solution into an accurate one. Due to the linear convergence property of the iteration, a high accuracy phase recovery is achieved without requiring heavy iterations. The feasibility and accuracy of the proposed method are verified by both numerical simulations and experiments on diverse phase objects.
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