Hermite-Bessel beams and the geometrical representation of nondiffracting beams with orbital angular momentum

We investigate theoretically and experimentally the decomposition of high-order Bessel beams in terms of a new family of nondiffracting beams, referred as Hermite-Bessel beams, which are solutions of the Helmholtz equation in Cartesian coordinates. Based on this decomposition we develop a geometrica...

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Bibliographic Details
Published in:Optics express 2006-05, Vol.14 (11), p.4577-4582
Main Authors: Soares, W C, Caetano, D P, Hickmann, J M
Format: Article
Language:English
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Summary:We investigate theoretically and experimentally the decomposition of high-order Bessel beams in terms of a new family of nondiffracting beams, referred as Hermite-Bessel beams, which are solutions of the Helmholtz equation in Cartesian coordinates. Based on this decomposition we develop a geometrical representation of first-order Bessel beams, equivalent to the Poincaré sphere for the polarization states of light and implement an unitary transformation within our geometrical representation using linear optical elements.
ISSN:1094-4087
1094-4087
DOI:10.1364/OE.14.004577