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Digital analysis of a speckle pattern of chaotic mode composition and restoration of a regular intensity pattern after a multimode fiber
A.V. Volyar 1, M.V. Bretsko 1, Y.E. Akimova 1, Y.A. Egorov 1

1 Physics and Technology Institute of V.I. Vernadsky Crimean Federal University,
Academician Vernadsky 4, 295007, Simferopol, Republic of Crimea, Russia

 PDF, 1770 kB

DOI: 10.18287/2412-6179-CO-831

Pages: 179-189.

Full text of article: Russian language.

Abstract:
A process of mode matching in a chaotic speckle pattern without a reference beam responsible for the formation of a holographic grating was studied experimentally and theoretically. Our approach was based on measuring the amplitudes and phases of the Hermite-Gauss (HG) and Laguerre-Gauss (LG) modes in a speckle pattern formed by the radiation of a multimode gradient fiber. The speckle pattern was formed in a hologram of a spatial light modulator using a multimode gradient fiber model while taking into account the mode and polarization dispersion, as well as random phase jumps of each eigenmode. We managed to match 210 modes of the speckle pattern and restore not only the original pattern, but also each structured LG mode and the entire chain of HG eigenmodes.

Keywords:
information optics, vortex beams sorting, Shannon entropy.

Citation:
Volyar AV, Bretsko MV, Akimova YE, Egorov YA. Digital analysis of a speckle pattern of chaotic mode composition and restoration of a regular intensity pattern after a multimode fiber. Computer Optics 2021; 45(2): 179-189. DOI: 10.18287/2412-6179-CO-831.

Acknowledgements:
This work was partly funded by the Russian Foundation for Basic Research under the research projects No. 19-29-01233 (Simulation results), No. 20-37-90066 (Theoretical results), No. 20-37-90068 (Experiment), and No. 20-47-910002 Republic of Crimea ("Mode matching" Section).

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