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For quantitative phase imaging (QPI) based on transport-of-intensity equation (TIE), partially coherent illumination provides speckle-free imaging, compatibility with brightfield microscopy, and transverse resolution beyond coherent…

Optics · Physics 2017-05-31 Chao Zuo , Jiasong Sun , Jiaji Li , Jialin Zhang , Anand Asundi , Qian Chen

Transport-of-intensity equation (TIE) is one of the most well-known approaches for phase retrieval and quantitative phase imaging. It directly recovers the quantitative phase distribution of an optical field by through-focus intensity…

Image and Video Processing · Electrical Eng. & Systems 2020-07-15 Jialin Zhang , Qian Chen , Jiasong Sun , Long Tian , Chao Zuo

Fourier ptychographic microscopy (FPM) is a pivotal computational imaging technique that achieves phase and amplitude reconstruction with high resolution and wide field of view, using low numerical aperture objectives and LED array…

The so-called Transport of Intensity Equation (TIE) phase retrieval technique is widely applied in light, x-ray and electron optics to reconstruct, e.g., refractive indices, electric and magnetic fields in solids. Here, we present a largely…

Materials Science · Physics 2024-01-18 A. Lubk , R. Kyrychenko , D. Wolf , M. Wegner , M. Herzog , M. Winter , O. Zaiets , P. Vir , J. Schultz , C. Felser , B. Büchner

The transport of intensity equation (TIE) has revolutionized phase retrieval in optical microscopy, yet its application to complex media with absorption/scattering remains challenging. Here, we present a coupled TIE-TPE (transport of phase…

The phase problem can be considered as one of the cornerstones of quantum mechanics intimately connected to the detection process and the uncertainty relation. The latter impose fundamental limits on the manifold phase reconstruction…

Optics · Physics 2016-09-08 Axel Lubk , Giulio Guzzinati , Felix Börrnert , Jo Verbeeck

The Transport-of-Intensity equation (TIE) has been proven as a standard approach for phase retrieval. Some high efficiency solving methods for the TIE, extensively used in many works, are based on a Fourier-Transform (FT). However, to solve…

Optics · Physics 2018-05-09 Soheil Mehrabkhani , Lennart Wefelnberg , Thomas Schneider

In a recent publication [Appl. Opt. 55, 2418 (2016)], a method for two-dimensional phase unwrapping based on the transport of intensity equation (TIE) was studied. We wish to show that this approach is associated with the standard least…

Optics · Physics 2017-04-14 Chao Zuo

Differential phase contrast microscopy (DPC) provides high-resolution quantitative phase distribution of thin transparent samples under multi-axis asymmetric illuminations. Typically, illumination in DPC microscopic systems is designed with…

Optics · Physics 2019-03-27 Yao Fan , Jiasong Sun , Qian Chen , Xiangpeng Pan , Lei Tian , Chao Zuo

Transport of intensity equation (TIE) exhibits a non-interferometric correlation between intensity and phase variations of intermediate fields (e.g., light and electron) in biological imaging. Previous TIE formulations have generally…

Biological Physics · Physics 2023-07-17 Masaki Watabe , Yasuhiro Hirano , Atsuko Iwane , Osamu Matoba , Koichi Takahashi

Phase imaging is gaining importance due to its applications in fields like biomedical imaging and material characterization. In biomedical applications, it can provide quantitative information missing in label-free microscopy modalities.…

Image and Video Processing · Electrical Eng. & Systems 2026-02-20 Gabriel della Maggiora , Luis Alberto Croquevielle , Harry Horsley , Thomas Heinis , Artur Yakimovich

In this work, we present a highly efficient quantitative phase imaging (QPI) approach using programmable annular LED illumination based on traditional bright-field microscope. As a new type of coded illumination, the LED array provides a…

Optics · Physics 2017-07-14 Jiaji Li , Qian Chen , Jialin Zhang , Yan Zhang , Linpeng Lu , Chao Zuo

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…

Image and Video Processing · Electrical Eng. & Systems 2021-05-05 Jianhui Huang , An Pan , Huiliang Jin , Guoxiang Meng , Qian Ye

Microtubules (MTs) are filamentous protein polymers roughly 25 nm in diameter. Ubiquitous in eukaryotes, MTs are well known for their structural role but also act as actuators, sensors, and, in association with other proteins, checkpoint…

Optics · Physics 2017-08-01 Q. Tyrell Davis

The imaging performance of tomographic deconvolution phase microscopy can be described in terms of the phase optical transfer function (POTF) which, in turn, depends on the illumination profile. To facilitate the optimization of the…

Optics · Physics 2021-05-12 Jianhui Huang , Yijun Bao , Thomas K. Gaylord

A method for quantitative estimation of density in a high-speed flow field is presented, which uses a structured-light beam probe to interrogate the region of interest (ROI). Wavefront distortion suffered by the interrogating beam as it…

Optics · Physics 2022-02-09 Biswajit Medhi , K. P. J. Reddy

Quantum entanglement and squeezing have significantly improved phase estimation and imaging in interferometric settings beyond the classical limits. However, for a wide class of non-interferometric phase imaging/retrieval methods vastly…

In a medium where the dielectric permittivity is perturbed in the presence of an acoustic wave, optical scattering generates frequency-shifted light. In this paper we consider the inverse problem of recovering the optical properties of this…

Analysis of PDEs · Mathematics 2019-10-14 Francis J. Chung , Jeremy G. Hoskins , John C. Schotland

Quantitative phase imaging (QPI) is important in many applications such as microscopy and crystallography. To quantitatively reveal phase information, people could either employ interference to map phase distribution into intensity fringes,…

Optics · Physics 2020-11-11 Xianye Li , Yafei sun , Yikang He , Xun Li , Baoqing Sun

We introduce FlowTIE, a neural-network-based framework for phase reconstruction from 4D-Scanning Transmission Electron Microscopy (STEM) data, which integrates the Transport of Intensity Equation (TIE) with a flow-based representation of…

Machine Learning · Computer Science 2025-11-12 Arya Bangun , Maximilian Töllner , Xuan Zhao , Christian Kübel , Hanno Scharr
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