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

O. V. Angelsky; C. Yu. Zenkova; P. A. Riabyi

doi:10.1117/12.2243288

14 December 2016 The use of 2D Hilbert transform for phase retrieval of speckle fields

O. V. Angelsky, C. Yu. Zenkova, P. A. Riabyi

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.

Citation Download Citation

O. V. Angelsky, C. Yu. Zenkova, and 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); https://doi.org/10.1117/12.2243288

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