
Proceedings Paper
2D Hilbert transform for phase retrieval of speckle fieldsFormat | Member Price | Non-Member Price |
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Paper Abstract
The paper presents principal approaches to diagnosing the structure forming skeleton of the complex optical field. An
analysis of optical field singularity algorithms depending on intensity discretization and image resolution has been
carried out. An optimal approach is chosen, which allows to bring much closer the solution of the phase problem of
localization speckle-field special points. The use of a “window” 2D Hilbert transform for reconstruction of the phase
distribution of the intensity of a speckle field is proposed. It is shown that the advantage of this approach consists in the
invariance of a phase map to a change of the position of the kernel of transformation and in a possibility to reconstruct
the structure-forming elements of the skeleton of an optical field, including singular points and saddle points. We
demonstrate the possibility to reconstruct the equi-phase lines within a narrow confidence interval, and introduce an
additional algorithm for solving the phase problem for random 2D intensity distributions.
Paper Details
Date Published: 14 September 2016
PDF: 8 pages
Proc. SPIE 9970, Optics and Photonics for Information Processing X, 99701N (14 September 2016); doi: 10.1117/12.2238138
Published in SPIE Proceedings Vol. 9970:
Optics and Photonics for Information Processing X
Khan M. Iftekharuddin; Abdul A. S. Awwal; Mireya García Vázquez; Andrés Márquez; Mohammad A. Matin, Editor(s)
PDF: 8 pages
Proc. SPIE 9970, Optics and Photonics for Information Processing X, 99701N (14 September 2016); doi: 10.1117/12.2238138
Show Author Affiliations
D. I. Ivanskyi, Chernivtsi National Univ. (Ukraine)
Published in SPIE Proceedings Vol. 9970:
Optics and Photonics for Information Processing X
Khan M. Iftekharuddin; Abdul A. S. Awwal; Mireya García Vázquez; Andrés Márquez; Mohammad A. Matin, Editor(s)
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