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

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 t...

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Bibliographic Details
Published in:Optical and quantum electronics 2017-03, Vol.49 (3), p.1-24, Article 91
Main Authors: Ouahid, L., Nebdi, H., Dalil-Essakali, L.
Format: Article
Language:English
Subjects:
Characterization and Evaluation of Materials
Computer Communication Networks
Electrical Engineering
Gaussian beams (optics)
Kurtosis
Laser beams
Lasers
Mathematical analysis
Optical Devices
Optics
Photonics
Physics
Physics and Astronomy
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Summary: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.
ISSN:0306-8919
1572-817X
DOI:10.1007/s11082-017-0934-6