Effect of imposed boundary conditions on the accuracy of transport of intensity equation based solvers

Juan Martinez-Carranza , Konstantinos Falaggis , Tomasz Kozacki , Małgorzata Kujawińska

Abstract

The transport of intensity equation (TIE) describes the relation between the object phase and the intensity distribution in the Fresnel region and can be used as a non-interferometric technique to estimate the phase distribution of an object. A number of techniques have been developed to solve the TIE. In this work we focus on one popular class of Poisson solvers that are based on Fourier and the Multigrid techniques. The aim of this paper is to present an analysis of these types of TIE solvers taking into account the effect of the boundary condition, i.e. the Neumann Boundary Condition (NBC), the Dirichlet Boundary Condition (DBC), and the Periodic Boundary Condition (PBC). This analysis, which depends on the location of an object wave-front in the detector plane, aims to identify the advantages and disadvantage of these kinds of solvers and to provide the rules for choice of the best fitted boundary condition.
Author Juan Martinez-Carranza (FM / IMPh)
Juan Martinez-Carranza,,
- The Institute of Micromechanics and Photonics
, Konstantinos Falaggis (FM / IMPh)
Konstantinos Falaggis,,
- The Institute of Micromechanics and Photonics
, Tomasz Kozacki (FM / IMPh)
Tomasz Kozacki,,
- The Institute of Micromechanics and Photonics
, Małgorzata Kujawińska (FM / IMPh)
Małgorzata Kujawińska,,
- The Institute of Micromechanics and Photonics
Pages87890N-1 - 87890N-14
Publication size in sheets0.3
Book Ferraro Pietro, Ritsh-Marte Monika, Grilli Simonetta, Stifter David (eds.): Optical Methods for Inspection, Characterization, and Imaging of Biomaterials , 2013, SPIE, ISBN 9780819496089, 262 p.
Keywords in EnglishTransport of intensity equation, Poisson equation, Fourier and Multigrid solvers, Boundary conditions, retrieved phase.
DOIDOI:10.1117/12.2020662
URL http://proceedings.spiedigitallibrary.org/proceeding.aspx?articleid=1687366
Languageen angielski
Score (nominal)15
Score sourceconferenceIndex
ScoreMinisterial score = 10.0, 02-04-2020, BookChapterMatConfByIndicator
Ministerial score (2013-2016) = 15.0, 02-04-2020, BookChapterMatConfByIndicator
Publication indicators Scopus Citations = 19; WoS Citations = 9; GS Citations = 29.0
Citation count*31 (2020-09-07)
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.
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