Revealing the modal content of obstructed beams

Jonathan Pinnell, Valeria Rodríguez-Fajardo, Andrew Forbes, Saoussene Chabou, Karima Mihoubi, and Abdelhalim Bencheikh
Phys. Rev. A 102, 033524 – Published 24 September 2020

Abstract

In this paper, we propose a predictor or indicator of the self-healing ability of coherent structured light beams: the field's modal content. Specifically, the fidelity between the obstructed and unobstructed beams' modal spectrum serves as a useful measure of the degree to which the beam will likely self-heal after an arbitrary obstacle. Since any optical field can be decomposed in terms of any chosen orthonormal basis, this analysis is, therefore, less restrictive than other methods for determining self-healing ability. Furthermore, since modal content is propagation invariant, this allows beam self-reconstruction to be studied in this way at any available transverse plane. As a case study, we present convincing experimental evidence for the superiority of the self-healing properties of Laguerre-Gaussian over Bessel-Gaussian beams, analysis that is facilitated primarily by the proposed measure.

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  • Received 5 May 2020
  • Accepted 1 September 2020

DOI:https://doi.org/10.1103/PhysRevA.102.033524

©2020 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & Optical

Authors & Affiliations

Jonathan Pinnell*, Valeria Rodríguez-Fajardo, and Andrew Forbes

  • School of Physics, University of the Witwatersrand, Johannesburg 2000, South Africa

Saoussene Chabou, Karima Mihoubi, and Abdelhalim Bencheikh

  • Applied Optics Laboratory, IOMP Institute, University of Setif, Setif 19000, Algeria

  • *Jonathan.Pinnell@students.wits.ac.za
  • Also at Electromechanical Department, University of BBA, Bordj Bou Arréridj 34000, Algeria.

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Issue

Vol. 102, Iss. 3 — September 2020

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