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

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.
 [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
Publication Date:
OSTI Identifier:
Report Number(s):
Journal ID: ISSN 0146-9592; OPLEDP; R&D Project: LS001
Grant/Contract Number:
Accepted Manuscript
Journal Name:
Optics Letters
Additional Journal Information:
Journal Volume: 40; Journal Issue: 9; Journal ID: ISSN 0146-9592
Optical Society of America (OSA)
Research Org:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org:
USDOE Office of Science (SC)
Country of Publication:
United States