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

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

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