Wolf phase tomography (WPT) of transparent structures using partially coherent illumination

Xi Chen; Mikhail E. Kandel; Chenfei Hu; Young Jae Lee; Gabriel Popescu

doi:10.1038/s41377-020-00379-4

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Wolf phase tomography (WPT) of transparent structures using partially coherent illumination

Article

- Wolf phase tomography (WPT) of transparent structures using partially coherent illumination
- Light: Science & Applications Vol. 9, Issue 5, Pages: 1401-1409(2020)
- Affiliations：
  
  Quantitative Light Imaging Laboratory, Beckman Institute for Advanced Science and Technology, Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA
- Author bio：
  
  Gabriel Popescu (gpopescu@illinois.edu)
- Funds：
- DOI：10.1038/s41377-020-00379-4
  CLC：
- Published：2020，
  
  Published Online：19 August 2020，
  
  Received：10 April 2020，
  
  Revised：30 July 2020，
  
  Accepted：03 August 2020
- Accepted：
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Chen, X. et al. Wolf phase tomography (WPT) of transparent structures using partially coherent illumination. Light: Science & Applications, 9, 1401-1409 (2020).
DOI：

Chen, X. et al. Wolf phase tomography (WPT) of transparent structures using partially coherent illumination. Light: Science & Applications, 9, 1401-1409 (2020). DOI： 10.1038/s41377-020-00379-4.

摘要

Abstract

In 1969

Emil Wolf proposed diffraction tomography using coherent holographic imaging to extract 3D information from transparent

inhomogeneous objects. In the same era

the Wolf equations were first used to describe the propagation correlations associated with partially coherent fields. Combining these two concepts

we present Wolf phase tomography (WPT)

which is a method for performing diffraction tomography using partially coherent fields. WPT reconstruction works directly in the space–time domain

without the need for Fourier transformation

and decouples the refractive index (RI) distribution from the thickness of the sample. We demonstrate the WPT principle using the data acquired by a quantitative-phase-imaging method that upgrades an existing phase-contrast microscope by introducing controlled phase shifts between the incident and scattered fields. The illumination field in WPT is partially spatially coherent (emerging from a ring-shaped pupil function) and of low temporal coherence (white light)

and as such

it is well suited for the Wolf equations. From three intensity measurements corresponding to different phase-contrast frames

the 3D RI distribution is obtained immediately by computing the Laplacian and second time derivative of the measured complex correlation function. We validate WPT with measureme

nts of standard samples (microbeads)

spermatozoa

and live neural cultures. The high throughput and simplicity of this method enables the study of 3D

dynamic events in living cells across the entire multiwell plate

with an RI sensitivity on the order of 10

−5

关键词

Keywords

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