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Optical and Quantum Electronics
Erschienen in: Optical and Quantum Electronics 3/2017

01.03.2017

Kurtosis factor of truncated and non-truncated simplified general-type beams

verfasst von: L. Ouahid, H. Nebdi, L. Dalil-Essakali

Erschienen in: Optical and Quantum Electronics | Ausgabe 3/2017

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Abstract

In this work, the analytical expression for the kurtosis parameter of truncated and non-truncated simplified general-type beams is derived based on the second and fourth-orders moments formalism. It should be pointed out that our obtained results straightforwardly provide a convenient way to study the kurtosis parameter for several laser beams such as Gaussian, cos-Gaussian, cosh-Gaussian, sine-Gaussian, sinh-Gaussian, flat-topped, Hermite-cosh-Gaussian, Hermite-sine-Gaussian, higher-order annular Gaussian, Hermite-sinh-Gaussian and Hermite-cos-Gaussian beams. On the other hand, previous works are induced as special cases from our theoretical results, which constitute a more generalized study of the kurtosis factor of truncated and non-truncated laser beams. Our analytical expressions show that the kurtosis factor depends on the beam parameters.
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Metadaten
Titel
Kurtosis factor of truncated and non-truncated simplified general-type beams
verfasst von
L. Ouahid
H. Nebdi
L. Dalil-Essakali
Publikationsdatum
01.03.2017
Verlag
Springer US
Erschienen in
Optical and Quantum Electronics / Ausgabe 3/2017
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI
https://doi.org/10.1007/s11082-017-0934-6

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