Rows of optical vortices from elliptically perturbing a high-order beam

Optics Letters
Mark R Dennis

Abstract

An optical vortex (phase singularity) with a high topological strength resides on the axis of a high-order light beam. The breakup of this vortex under elliptic perturbation into a straight row of unit-strength vortices is described. This behavior is studied in helical Ince-Gauss beams and astigmatic, generalized Hermite-Laguerre-Gauss beams, which are perturbations of Laguerre-Gauss beams. Approximations of these beams are derived for small perturbations, in which a neighborhood of the axis can be approximated by a polynomial in the complex plane: a Chebyshev polynomial for Ince-Gauss beams, and a Hermite polynomial for astigmatic beams.

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Citations

Jan 22, 2015·Optics Express·Anderson M AmaralCid B de Araújo
Jan 7, 2017·Optics Letters·Victor V KotlyarAlexey P Porfirev
Jan 13, 2017·Scientific Reports·Alessio D'ErricoLorenzo Marrucci
Jul 24, 2008·Optics Express·Carlos López-MariscalJulio C Gutiérrez-Vega
Dec 10, 2008·Optics Express·Miguel A Bandres, Julio C Gutiérrez-Vega
Aug 31, 2007·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Victor V KotlyarVictor A Soifer
May 3, 2014·Optics Express·Richard NeoGabriel Molina-Terriza
Jan 11, 2017·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·Benjamin J McMorranJordan S Pierce
Aug 2, 2019·Optics Letters·Victor KotlyarElena Kozlova
Sep 17, 2007·Optics Express·Pascal FischerKishan Dholakia
Nov 3, 2016·Optics Letters·Matt K Smith, Gregory J Gbur
Sep 15, 2015·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Xiao-Lu GeCheng-Shan Guo
Apr 1, 2011·Optics Express·Ashok KumarR P Singh
Jan 11, 2017·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·M R Dennis, M A Alonso
Nov 12, 2020·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Alexey A KovalevAlexey P Porfirev
Mar 11, 2021·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Ruoyu Zeng, Yuanjie Yang

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