Classification of multiple-state OAM superpositions using convolutional neural networks

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations


The analysis of superpositions of Orbital Angular Momentum (OAM) modes is a challenging problem, particularly when atmospheric turbulence is present or when the phase structure of the wavefront is not available. In such conditions it is not possible to correct the distortions and reconstruct the vorticial phase structure: the rings and petals that characterize the intensity profiles of such beams become deformed and may even lose integrity. These artifacts may compromise the possibility of establishing free-space optical links based on OAM superpositions. We propose using a particular selection of Laguerre-Gauss modes and convolutional neural networks for a reliable classification of superpositions of two modes. The network (based on a pre-trained network AlexNet that combines convolutional and fully-connected layers) is trained as a classifier based on 2-d intensity profiles that can be obtained from a digital camera. For illustrating the proposed method, we used simulations of light beams propagated through L = 1 km with three levels of turbulence: Cn2 ∈ {2×10-15, 9.24×10-15, 2.9×10-14} m-2/3. The emitted beams are made up of 2 different Laguerre-Gauss modes with OAM between -15 and +15, and radial indices between 0 and 3. Classification results show that the radial index can be used effectively to enlarge the set of information symbols.

Original languageEnglish
Title of host publicationLaser Communication and Propagation through the Atmosphere and Oceans X
EditorsJaime A. Anguita, Jeremy P. Bos, David T. Wayne
ISBN (Electronic)9781510645066
ISBN (Print)9781510645066
StatePublished - 30 Jul 2021
EventLaser Communication and Propagation through the Atmosphere and Oceans X 2021 - San Diego, United States
Duration: 1 Aug 20215 Aug 2021

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
ISSN (Print)0277-786X
ISSN (Electronic)1996-756X


ConferenceLaser Communication and Propagation through the Atmosphere and Oceans X 2021
Country/TerritoryUnited States
CitySan Diego

Bibliographical note

Funding Information:
JC is supported by Project FONDECYT 1210297. JD thankfully acknowledges funding from Project FONDE-CYT 1180685 and the Advanced Center of Electrical and Electronic Engineering, AC3E (ANID/FB0008).

Publisher Copyright:
© 2021 SPIE.


  • Digital image processing
  • FSO communications
  • Neural networks
  • Orbital angular momentum
  • Pattern recognition
  • Turbulence-induced distortions


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