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Optics Letters

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  • Vol. 29, Iss. 19 — Oct. 1, 2004
  • pp: 2213–2215

Higher-order complex source for elegant Laguerre-Gaussian waves

Miguel A. Bandres and Julio C. Gutiérrez-Vega  »View Author Affiliations


Optics Letters, Vol. 29, Issue 19, pp. 2213-2215 (2004)
http://dx.doi.org/10.1364/OL.29.002213


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Abstract

We introduce a higher-order complex source that generates elegant Laguerre–Gaussian waves with radial mode number n and angular mode number m. We derive the integral and differential representations for the elegant Laguerre–Gaussian wave that in the appropriate limit yields the corresponding elegant Laguerre-Gaussian beam. From the spectral representation of the elegant Lauguerre–Gaussian wave we determine the first three orders of nonparaxial corrections for the corresponding paraxial elegant Laguerre–Gaussian beam.

© 2004 Optical Society of America

OCIS Codes
(050.1960) Diffraction and gratings : Diffraction theory
(140.3300) Lasers and laser optics : Laser beam shaping
(260.1960) Physical optics : Diffraction theory
(350.5500) Other areas of optics : Propagation

Citation
Miguel A. Bandres and Julio C. Gutiérrez-Vega, "Higher-order complex source for elegant Laguerre-Gaussian waves," Opt. Lett. 29, 2213-2215 (2004)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-29-19-2213


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