Phase retrieval using the transport of intensity equation solved by the FMG–CG method

The relationship between the object-plane phase and the intensity distribution in the Fresnel region can be described by the transport of intensity equation (TIE). The phase distribution can thus be uniquely determined by solving TIE. In this study, a full multigrid preconditioned conjugate gradient...

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Bibliographic Details
Published in:Optik (Stuttgart) Vol. 122; no. 23; pp. 2101 - 2106
Main Authors: Xue, Bindang, Zheng, Shiling
Format: Journal Article
Language:English
Published: Elsevier GmbH 01.12.2011
Subjects:
Conjugate gradients
Convergence
FMG–CG
Mathematical analysis
Mathematical models
Multigrid methods
Phase distribution
Phase retrieval
Transport
Transport of intensity equation
Phase retrieval
FMG–CG
Transport of intensity equation
ISSN:0030-4026, 1618-1336
Online Access:Get full text
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Summary:The relationship between the object-plane phase and the intensity distribution in the Fresnel region can be described by the transport of intensity equation (TIE). The phase distribution can thus be uniquely determined by solving TIE. In this study, a full multigrid preconditioned conjugate gradient (FMG–CG) method is proposed to numerically solve the TIE for phase retrieval. The full multigrid method is a scalable algorithm, and can be parallelized readily and efficiently. By using this method as a preconditioner of the preconditioned conjugate gradient (PCG) method, fast convergence is obtained. The simulation experiments show that complicated phase distributions with fast convergence speed can be retrieved by this composite method.
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content type line 23
ISSN:0030-4026
1618-1336
DOI:10.1016/j.ijleo.2011.01.004