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Proceedings Paper

The use of 2D Hilbert transform for phase retrieval of speckle fields
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Paper Abstract

The use of a “window” 2D Hilbert transform for reconstruction of the phase distribution of remote objects 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 a new algorithm for solving the phase problem for random 2D intensity distributions.

Paper Details

Date Published: 14 December 2016
PDF: 6 pages
Proc. SPIE 10010, Advanced Topics in Optoelectronics, Microelectronics, and Nanotechnologies VIII, 1001005 (14 December 2016); doi: 10.1117/12.2243288
Show Author Affiliations
O. V. Angelsky, Chernivtsi National Univ. (Ukraine)
C. Yu. Zenkova, Chernivtsi National Univ. (Ukraine)
P. A. Riabyi, Chernivtsi National Univ. (Ukraine)


Published in SPIE Proceedings Vol. 10010:
Advanced Topics in Optoelectronics, Microelectronics, and Nanotechnologies VIII
Marian Vladescu; Cornel T. Panait; Razvan Tamas; George Caruntu; Ionica Cristea, Editor(s)

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