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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 25 — Dec. 7, 2009
  • pp: 22366–22379

Partially coherent standard and elegant Laguerre-Gaussian beams of all orders

Fei Wang, Yangjian Cai, and Olga Korotkova  »View Author Affiliations

Optics Express, Vol. 17, Issue 25, pp. 22366-22379 (2009)

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Partially coherent standard and elegant Laguerre-Gaussian (LG) beams of all orders are introduced as a natural extension of coherent standard and elegant LG beams to the stochastic domain. By expanding the LG modes into a finite sum of Hermite-Gaussian modes, the analytical formulae are obtained for the cross-spectral densities of partially coherent standard and elegant LG beams in the source plane and after passing through paraxial ABCD optical system, based on the generalized Collins integral formula. A comparative study of the propagation properties of the partially coherent standard and elegant LG beams in free space is carried out via a set of numerical examples. Our results indicate that the intensity and spreading properties of partially coherent standard and elegant LG beams are closely related to their initial coherence states, and are very different from the corresponding results for the coherent standard and elegant LG beams. In particular, an elegant LG beam spreads slower than a standard LG beam, while this advantage disappears when their initial coherences are very small. Our results may find applications in connection with laser beam shaping, singular optics and astrophysical measurements of angular momentum of radiation.

© 2009 OSA

OCIS Codes
(030.1670) Coherence and statistical optics : Coherent optical effects
(140.3300) Lasers and laser optics : Laser beam shaping
(350.5500) Other areas of optics : Propagation

ToC Category:
Coherence and Statistical Optics

Original Manuscript: September 23, 2009
Revised Manuscript: November 3, 2009
Manuscript Accepted: November 13, 2009
Published: November 23, 2009

Fei Wang, Yangjian Cai, and Olga Korotkova, "Partially coherent standard and elegant Laguerre-Gaussian beams of all orders," Opt. Express 17, 22366-22379 (2009)

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