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.

© 2006 Optical Society of America

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