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Holographic generation and orbital angular momentum of high-order Mathieu beams

S Chávez-Cerda1,4, M J Padgett2, I Allison2, G H C New1, J C Gutiérrez-Vega3, A T O'Neil2, I MacVicar2 and J Courtial2

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We report the first experimental generation of high-order Mathieu beams and confirm their propagation invariance over a limited range. In our experiment we use a computer-generated phase hologram. The peculiar behaviour of the vortices in Mathieu beams gives rise to questions about their orbital-angular-momentum content, which we calculate by performing a decomposition in terms of Bessel beams.


PACS

42.40.Jv Computer-generated holograms

02.30.Gp Special functions

Subjects

Mathematical physics

Optics, quantum optics and lasers

Dates

Issue 2 (April 2002)

Received 6 November 2001, in final form 4 February 2002

Published 8 March 2002



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