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Analysis of Accuracy of Optical Vortex Detection Algorithms

Abstract

Application of four algorithms developed for detecting optical vortices in model problems of singular optics is considered. Computational schemes that should be constructed for the software implementation of the algorithms are presented and the input information required for the operation of the computer applications is specified. Special attention is paid to the accuracy in detecting the number and coordinates of singular points of a wavefront. Depending on the characteristic of the methods and input data volume, the areas of their possible use (experiments or purely numerical simulation) are determined.

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Funding

The major part of data presented in this paper was obtained under the financial support of the Ministry of Science and Higher Education of the Russian Federation (V.E. Zuev Institute of Atmospheric Optics of Siberian Branch of the Russian Academy of Sciences). Modeling the algorithms and carrying out numerical experiments whose results are presented in Sections 3 and 4 were supported by the Russian Science Foundation (project no. 20-19-00-597). The development of the numerical models used in this work was supported by the Ministry of Science and Higher Education of the Russian Federation (V.E. Zuev Institute of Atmospheric Optics of Siberian Branch of the Russian Academy of Sciences).

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Correspondence to V. P. Aksenov.

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Translated by A. Nikol’skii

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Kanev, F.Y., Aksenov, V.P. & Veretekhin, I.D. Analysis of Accuracy of Optical Vortex Detection Algorithms. Atmos Ocean Opt 34, 161–173 (2021). https://doi.org/10.1134/S1024856021030088

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  • DOI: https://doi.org/10.1134/S1024856021030088

Keywords:

  • optical vortices
  • singular points of wavefront
  • local tilts of wavefront
  • Shack–Hartmann sensor