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Title: Phase retrieval with the transport-of-intensity equation in an arbitrarily-shaped aperture by iterative discrete cosine transforms

Journal Article · · Optics Letters
DOI:https://doi.org/10.1364/OL.40.001976· OSTI ID:1193230
 [1];  [2];  [1];  [3];  [4]
  1. Brookhaven National Lab. (BNL), Upton, NY (United States)
  2. Nanjing Univ. of Science and Technology, Nanjing (China). Jiangsu Key Lab. of Spectral Imaging and Intellgence Sense
  3. Ngee Ann Polytechnic (Singapore). Centre for Applied Photonics and Laser Technology
  4. Nanyang Technological Univ. (Singapore). School of Mechanical and Aerospace Engineering
+ Show Author Affiliations

A novel transport-of-intensity equation (TIE) based phase retrieval method is proposed with putting an arbitrarily-shaped aperture into the optical wavefield. In this arbitrarily-shaped aperture, the TIE can be solved under non-uniform illuminations and even non-homogeneous boundary conditions by iterative discrete cosine transforms with a phase compensation mechanism. Simulation with arbitrary phase, arbitrary aperture shape, and non-uniform intensity distribution verifies the effective compensation and high accuracy of the proposed method. Experiment is also carried out to check the feasibility of the proposed method in real measurement. Comparing to the existing methods, the proposed method is applicable for any types of phase distribution under non-uniform illumination and non-homogeneous boundary conditions within an arbitrarily-shaped aperture, which enables the technique of TIE with hard aperture become a more flexible phase retrieval tool in practical measurements.

Research Organization:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
SC00112704
OSTI ID:
1193230
Report Number(s):
BNL-108116-2015-JA; OPLEDP; R&D Project: LS001
Journal Information:
Optics Letters, Vol. 40, Issue 9; ISSN 0146-9592
Publisher:
Optical Society of America (OSA)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 33 works
Citation information provided by
Web of Science

References (18)

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Boundary-artifact-free phase retrieval with the transport of intensity equation II: applications to microlens characterization journal January 2014
Deterministic phase retrieval: a Green’s function solution journal January 1983
Noninterferometric Phase Imaging with Partially Coherent Light journal March 1998
Critical assessment of the transport of intensity equation as a phase recovery technique in optical lithography conference March 2014
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Transport of intensity phase imaging in a volume holographic microscope journal January 2010
Phase discrepancy analysis and compensation for fast Fourier transform based solution of the transport of intensity equation journal January 2014
Noninterferometric single-shot quantitative phase microscopy journal January 2013
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Quantitative phase-sensitive imaging in a transmission electron microscope journal May 2000
Effect of imposed boundary conditions on the accuracy of transport of intensity equation based solvers conference May 2013
Phase retrieval algorithms: a comparison journal January 1982
Wavefront reconstruction using iterative Fourier transforms journal January 1991
Boundary-artifact-free phase retrieval with the transport of intensity equation: fast solution with use of discrete cosine transform journal January 2014

Cited By (5)

Noise-robust pixel-super-resolved multi-image phase retrieval with coherent illumination journal October 2018
Lensless phase microscopy and diffraction tomography with multi-angle and multi-wavelength illuminations using a LED matrix journal January 2015
3D profile measurement for stepped microstructures using region-based transport of intensity equation journal January 2019
Focal length calibration of an electrically tunable lens by digital holography journal January 2016
Regularized pseudo-phase imaging for inspecting and sensing nanoscale features journal January 2019

Figures / Tables (8)

Fig. 1(p. 1)figure Fig. 1
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Fig. 4(p. 3)figure Fig. 4
Fig. 5(p. 3)figure Fig. 5
Fig. 6(p. 3)figure Fig. 6
Fig. 7(p. 3)figure Fig. 7
Fig. 8(p. 4)figure Fig. 8

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36 MATERIALS SCIENCE