Transport of intensity equation: a new approach to phase and light field
Transport of intensity equation: a new approach to phase and light field
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强度传输方程：相位和光场的新方法
DOI：
10.1117/12.2071713
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
A. Asundi
中科院分区：
文献类型：
--
作者：
C. Zuo;Qian Chen;A. Asundi
相位是光波场的重要组成部分，承载着折射率、光学厚度或样本拓扑的信息。由于波场的相位无法直接获取，因此相位恢复是物理和光学许多领域的中心问题。获得定量相位的最成熟的方法是通过干涉测量法，例如数字全息术。然而，此类方法依赖于相干照明，因此存在散斑问题，无法形成高质量图像。另一方面，可以仅使用多个轴向位移平面处的物场强度通过强度传输方程（TIE）来检索定量相位。近年来，TIE 由于其相对于干涉技术的独特优势而受到越来越多的研究：它是非干涉测量的，适用于部分相干照明，计算简单，不需要相位展开，并且不需要复杂的光学系统。在本文中，我们将回顾TIE相位检索的一些最新进展：包括其数值解、边界问题和低频伪影的处理以及动态相位成像的配置。我们还从相空间光学角度重新审视 TIE，证明部分相干照明对相位重建的影响，并将其与几何光学极限下的光场成像联系起来。
Phase is an important component of an optical wavefield bearing the information of the refractive index, optical thickness, or the topology of the specimen. Phase retrieval is a central problem in many areas of physics and optics since the phase of a wavefield is not accessible directly. The most well-established method for obtaining quantitative phase is through interferometry, such as digital holography. However, this class of methods relies on coherent illumination, therefore, plagued with problems of speckle that prevent the formation of high quality images. On a different note, quantitative phase can be retrieved by transport-of-intensity equation (TIE) using only object field intensities at multiple axially displaced planes. TIE has been increasingly investigated during recent years due to its unique advantages over interferometric techniques: it is non-interferometric, works with partially coherent illumination, computationally simple, no need to phase unwrapping, and does not require a complicated optical system. In this paper, we will review some recent new developments in TIE phase retrieval: including its numerical solution, treatment of boundary problem and the low-frequency artifacts, and configurations for dynamic phase imaging. We also reexamine TIE in terms of phase-space optics, demonstrating the effect of partially coherent illumination on phase reconstruction, and connecting it to light field imaging at the geometry optics limit.