14 December 2016 The use of 2D Hilbert transform for phase retrieval of speckle fields
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Proceedings Volume 10010, Advanced Topics in Optoelectronics, Microelectronics, and Nanotechnologies VIII; 1001005 (2016) https://doi.org/10.1117/12.2243288
Event: Advanced Topics in Optoelectronics, Microelectronics, and Nanotechnologies 2016, 2016, Constanta, Romania
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.
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O. V. Angelsky, C. Yu. Zenkova, P. A. Riabyi, "The use of 2D Hilbert transform for phase retrieval of speckle fields", Proc. SPIE 10010, Advanced Topics in Optoelectronics, Microelectronics, and Nanotechnologies VIII, 1001005 (14 December 2016); doi: 10.1117/12.2243288; https://doi.org/10.1117/12.2243288
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