Phase problem in optics: new approaches and solutions

P. A. Riabyi; P. O. Angelsky

doi:10.1117/12.2305378

18 January 2018 Phase problem in optics: new approaches and solutions

P. A. Riabyi, P. O. Angelsky

Author Affiliations +

Proceedings Volume 10612, Thirteenth International Conference on Correlation Optics; 106120C (2018) https://doi.org/10.1117/12.2305378
Event: Thirteenth International Conference on Correlation Optics, 2017, Chernivtsi, Ukraine

Abstract

Using 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 in real time 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

P. A. Riabyi, P. A. Riabyi, P. O. Angelsky, P. O. Angelsky, "Phase problem in optics: new approaches and solutions", Proc. SPIE 10612, Thirteenth International Conference on Correlation Optics, 106120C (18 January 2018); doi: 10.1117/12.2305378; https://doi.org/10.1117/12.2305378

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