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

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

Content Provider	Semantic Scholar
Author	Wang, Fei Cai, Yangjian Korotkova, O. A.
Copyright Year	2009
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.
File Format	PDF HTM / HTML
DOI	10.1364/OE.17.022366
PubMed reference number	20052160
Journal	Medline
Volume Number	17
Issue Number	25
Alternate Webpage(s)	http://scholarlyrepository.miami.edu/cgi/viewcontent.cgi?article=1009&context=physics_articles
Alternate Webpage(s)	https://scholarlyrepository.miami.edu/cgi/viewcontent.cgi?amp%3Bcontext=physics_articles&article=1009&httpsredir=1&referer=
Alternate Webpage(s)	https://doi.org/10.1364/OE.17.022366
Journal	Optics express
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article

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