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

M. R. Dennis
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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 perturbation, 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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M. R. Dennis. 2006-02-09. Rows of optical vortices from elliptically perturbing a high-order beam. https://doi.org/10.1364/ol.31.001325

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