Phase retrieval with the transport-of-intensity equation in an arbitrarily-shaped aperture by iterative discrete cosine transforms
Abstract
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.
- Authors:
-
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- Nanjing Univ. of Science and Technology, Nanjing (China). Jiangsu Key Lab. of Spectral Imaging and Intellgence Sense
- Ngee Ann Polytechnic (Singapore). Centre for Applied Photonics and Laser Technology
- Nanyang Technological Univ. (Singapore). School of Mechanical and Aerospace Engineering
- Publication Date:
- Research Org.:
- Brookhaven National Laboratory (BNL), Upton, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1193230
- Report Number(s):
- BNL-108116-2015-JA
Journal ID: ISSN 0146-9592; OPLEDP; R&D Project: LS001
- Grant/Contract Number:
- SC00112704
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Optics Letters
- Additional Journal Information:
- Journal Volume: 40; Journal Issue: 9; Journal ID: ISSN 0146-9592
- Publisher:
- Optical Society of America (OSA)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE
Citation Formats
Huang, Lei, Zuo, Chao, Idir, Mourad, Qu, Weijuan, and Asundi, Anand. Phase retrieval with the transport-of-intensity equation in an arbitrarily-shaped aperture by iterative discrete cosine transforms. United States: N. p., 2015.
Web. doi:10.1364/OL.40.001976.
Huang, Lei, Zuo, Chao, Idir, Mourad, Qu, Weijuan, & Asundi, Anand. Phase retrieval with the transport-of-intensity equation in an arbitrarily-shaped aperture by iterative discrete cosine transforms. United States. https://doi.org/10.1364/OL.40.001976
Huang, Lei, Zuo, Chao, Idir, Mourad, Qu, Weijuan, and Asundi, Anand. Tue .
"Phase retrieval with the transport-of-intensity equation in an arbitrarily-shaped aperture by iterative discrete cosine transforms". United States. https://doi.org/10.1364/OL.40.001976. https://www.osti.gov/servlets/purl/1193230.
@article{osti_1193230,
title = {Phase retrieval with the transport-of-intensity equation in an arbitrarily-shaped aperture by iterative discrete cosine transforms},
author = {Huang, Lei and Zuo, Chao and Idir, Mourad and Qu, Weijuan and Asundi, Anand},
abstractNote = {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.},
doi = {10.1364/OL.40.001976},
journal = {Optics Letters},
number = 9,
volume = 40,
place = {United States},
year = {Tue Apr 21 00:00:00 EDT 2015},
month = {Tue Apr 21 00:00:00 EDT 2015}
}
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Figures / Tables:
Fig. 1: Energy conservation is required in TIE. (a) Energy is conserved when phase derivatives in the normal directions at boundary edges dφ/dn =0 . (b) Energy is not conserved when dφ/dn ≠ 0 . (c) A hard aperture is added in the optical wavefield to make sure the energymore »
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Works referencing / citing this record:
Noise-robust pixel-super-resolved multi-image phase retrieval with coherent illumination
journal, October 2018
- Shen, Cheng; Guo, Cheng; Geng, Yong
- Journal of Optics, Vol. 20, Issue 11
Lensless phase microscopy and diffraction tomography with multi-angle and multi-wavelength illuminations using a LED matrix
journal, January 2015
- Zuo, Chao; Sun, Jiasong; Zhang, Jialin
- Optics Express, Vol. 23, Issue 11
3D profile measurement for stepped microstructures using region-based transport of intensity equation
journal, January 2019
- Wen, Yongfu; Asundi, Anand
- Measurement Science and Technology, Vol. 30, Issue 2
Focal length calibration of an electrically tunable lens by digital holography
journal, January 2016
- Wang, Zhaomin; Qu, Weijuan; Yang, Fang
- Applied Optics, Vol. 55, Issue 4
Regularized pseudo-phase imaging for inspecting and sensing nanoscale features
journal, January 2019
- Zhu, Jinlong; Zhou, Renjie; Zhang, Lenan
- Optics Express, Vol. 27, Issue 5
Figures / Tables found in this record:
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