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

Rows of optical vortices from elliptically perturbing a high-order beam
Rows of optical vortices from elliptically perturbing a high-order beam
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.
0146-9592
1325-1327
Dennis, Mark R.
8b00c8a0-30e2-4690-bfde-02916f80de2f
Dennis, Mark R.
8b00c8a0-30e2-4690-bfde-02916f80de2f

Dennis, Mark R. (2006) Rows of optical vortices from elliptically perturbing a high-order beam. Optics Letters, 31 (9), 1325-1327.

Record type: Article

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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Published date: 2006

Identifiers

Local EPrints ID: 29399
URI: http://eprints.soton.ac.uk/id/eprint/29399
ISSN: 0146-9592
PURE UUID: f6f6e1d6-e0d6-433a-90ea-8d035adaf20c

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Date deposited: 11 May 2006
Last modified: 08 Jan 2022 12:56

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Author: Mark R. Dennis

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