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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 14, Iss. 11 — May. 29, 2006
  • pp: 4577–4582

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

W. C. Soares, D. P. Caetano, and J. M. Hickmann  »View Author Affiliations


Optics Express, Vol. 14, Issue 11, pp. 4577-4582 (2006)
http://dx.doi.org/10.1364/OE.14.004577


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Abstract

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.

© 2006 Optical Society of America

OCIS Codes
(030.4070) Coherence and statistical optics : Modes
(140.3300) Lasers and laser optics : Laser beam shaping

ToC Category:
Coherence and Statistical Optics

History
Original Manuscript: March 31, 2006
Revised Manuscript: May 8, 2006
Manuscript Accepted: May 9, 2006
Published: May 29, 2006

Citation
W. C. Soares, D. P. Caetano, and J. M. Hickmann, "Hermite-Bessel beams and the geometrical representation of nondiffracting beams with orbital angular momentum," Opt. Express 14, 4577-4582 (2006)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-14-11-4577


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References

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