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

Fei Wang, Yangjian Cai, Olga Korotkova

Research output: Contribution to journalArticle

68 Citations (Scopus)

Abstract

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.

Original languageEnglish (US)
Pages (from-to)22366-22379
Number of pages14
JournalOptics Express
Volume17
Issue number25
DOIs
StatePublished - Dec 7 2009

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astrophysics
angular momentum
laser beams
optics
propagation
radiation

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Partially coherent standard and elegant Laguerre-Gaussian beams of all orders. / Wang, Fei; Cai, Yangjian; Korotkova, Olga.

In: Optics Express, Vol. 17, No. 25, 07.12.2009, p. 22366-22379.

Research output: Contribution to journalArticle

Wang, Fei ; Cai, Yangjian ; Korotkova, Olga. / Partially coherent standard and elegant Laguerre-Gaussian beams of all orders. In: Optics Express. 2009 ; Vol. 17, No. 25. pp. 22366-22379.
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