论文标题
通过复杂光场的全体形态特性进行定量相成像
Quantitative phase imaging via the holomorphic property of complex optical fields
论文作者
论文摘要
光场用振幅和相描述，因此具有复杂平面中描述的复杂表示。但是，由于我们唯一可以测量的是真实轴上复杂场的振幅，因此很难确定复杂场在整个复杂平面中的表现。在这项研究中，我们通过分析延续来解释了希尔伯特变换的定量相成像方法，从而表现出整个复杂平面的行为。使用Rouche的定理，我们证明了Kramers-Kronig全息成像所施加的成像条件。使用计算图像和实验数据检查了Kramers-Kronig全息条件的偏差。我们认为，这项研究提供了使用复杂光场的全体形态特征的全息成像的线索。
An optical field is described by the amplitude and phase, and thus has a complex representation described in the complex plane. However, because the only thing we can measure is the amplitude of the complex field on the real axis, it is difficult to identify how the complex field behaves throughout the complex plane. In this study, we interpreted quantitative phase imaging methods via the Hilbert transform in terms of analytic continuation, manifesting the behavior in the whole complex plane. Using Rouche's theorem, we proved the imaging conditions imposed by Kramers-Kronig holographic imaging. The deviation from the Kramers-Kronig holography conditions was examined using computational images and experimental data. We believe that this study provides a clue for holographic imaging using the holomorphic characteristics of a complex optical field.
