An orthogonal direction iterative algorithm of the transport-of-intensity equation. (September 2019)

• Record Type: Journal Article
• Authors: Li, Jiaosheng; Xu, Jie; Zhong, Liyun; Zhang, Qinnan; Wang, Hanlin; Tian, Jindong; Lu, Xiaoxu
• Is Part Of: Optics and lasers in engineering. Volume 120(2019)
• Page Start: 6
• Page End: 12
• Publication Date: 2019-09
• Subjects: Phase measurement -- Phase retrieval -- Image reconstruction techniques; Lasers in engineering -- Periodicals; Optical measurements -- Periodicals; Optics -- Periodicals; Lasers en ingénierie -- Périodiques; Mesures optiques -- Périodiques; Optique -- Périodiques; 621.36605
• DOI: 10.1016/j.optlaseng.2019.02.008
• Languages: English
• ISSNs: 0143-8166

Abstract

Highlight: This algorithm can accurately retrieve the phase of the intensity transfer equation. The phase can be retrieved under complex boundary condition. The phase can be retrieved under non-uniform light-field illumination. This algorithm is capable of handling irregular samples with taint. Abstract: Phase retrieval based on the transport-of-intensity equation (TIE) illuminated with incoherent light reveals the advantages of simplicity and practicability, but the corresponding algorithm still needs accuracy improvement and applicability extension. An orthogonal direction iteration (ODI) algorithm is proposed to perform iterative calculations using the phase partial derivative information of the orthogonal directions. Under complex boundary conditions and non-uniform light-field illumination, the proposed ODI algorithm also can achieve an accurate solution of the TIE for periodic or non-periodic phase distributions. Moreover, the proposed ODI algorithm can fully utilise the phase partial derivative information of the orthogonal directions to perform phase compensation, and then achieve an accurate solution of the TIE for a phase object with shadows under non-uniform illumination. Both the simulation and experimental results demonstrate the obvious advantages of the proposed ODI algorithm for boundary condition relaxation and the accuracy improvement of solving the TIE.