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Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Editor: Alan E. Willner
  • Vol. 33, Iss. 12 — Jun. 15, 2008
  • pp: 1392–1394

Nonparaxial elegant Laguerre–Gaussian beams

Alexandre April  »View Author Affiliations


Optics Letters, Vol. 33, Issue 12, pp. 1392-1394 (2008)
http://dx.doi.org/10.1364/OL.33.001392


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Abstract

Closed-form nonparaxial expressions for optical beams are useful to calculate the fields produced by tightly focused laser beams. Such expressions for elegant Laguerre–Gaussian (eLG) beams that are exact solutions of the Helmholtz equation are introduced. These solutions are expressed as linear combinations of a finite number of analytic functions that involve spherical Bessel functions and associated Legendre functions of complex arguments. In the paraxial limit, the expressions proposed have the property to reduce to the well-known eLG beams.

© 2008 Optical Society of America

OCIS Codes
(010.3310) Atmospheric and oceanic optics : Laser beam transmission
(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
(350.7420) Other areas of optics : Waves

ToC Category:
Other Areas of Optics

History
Original Manuscript: February 26, 2008
Manuscript Accepted: May 7, 2008
Published: June 13, 2008

Citation
Alexandre April, "Nonparaxial elegant Laguerre-Gaussian beams," Opt. Lett. 33, 1392-1394 (2008)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-33-12-1392

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