Topological transformations of speckles

by Jérôme Gateau, Ferdinand Claude, Gilles Tessier, Marc Guillon
Abstract:
Deterministic control of coherent random light is highly important for information transmission through complex media. However, only a few simple speckle transformations can be achieved through diffusers without prior characterization. As recently shown, spiral wavefront modulation of the impinging beam allows permuting intensity maxima and intrinsic ±1-charged optical vortices. Here, we study this cyclic-group algebra when combining spiral phase transforms of charge n, with D3- and D4-point-group symmetry starlike amplitude modulations. This combination allows for statistical strengthening of permutations and controlling of the period to be 3 and 4, respectively. Phase saddle points are shown to complete the cycle. These results offer new tools to manipulate critical points in speckles.
Reference:
Topological transformations of speckles,
Jérôme Gateau, Ferdinand Claude, Gilles Tessier, Marc Guillon,
Optica, 6, 914-920, 2019.
Bibtex Entry:
@article{Gateau:19,
author = {J'{e}r^{o}me Gateau and Ferdinand Claude and Gilles Tessier and Marc Guillon},
journal = {Optica},
keywords = {Optical vortices; Orbital angular momentum multiplexing; Phase shift; Scattering media; Spatial light modulators; Spiral phase},
number = {7},
pages = {914--920},
publisher = {Optica Publishing Group},
title = {Topological transformations of speckles},
volume = {6},
month = {Jul},
year = {2019},
url = {https://opg.optica.org/optica/abstract.cfm?URI=optica-6-7-914},
doi = {10.1364/OPTICA.6.000914},
abstract = {Deterministic control of coherent random light is highly important for information transmission through complex media. However, only a few simple speckle transformations can be achieved through diffusers without prior characterization. As recently shown, spiral wavefront modulation of the impinging beam allows permuting intensity maxima and intrinsic ±1-charged optical vortices. Here, we study this cyclic-group algebra when combining spiral phase transforms of charge n, with D3- and D4-point-group symmetry starlike amplitude modulations. This combination allows for statistical strengthening of permutations and controlling of the period to be 3 and 4, respectively. Phase saddle points are shown to complete the cycle. These results offer new tools to manipulate critical points in speckles.},
}