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Chin. Phys. B, 2016, Vol. 25(4): 044206    DOI: 10.1088/1674-1056/25/4/044206

A closed form of a kurtosis parameter of a hypergeometric-Gaussian type-II beam

Khannous F, Ebrahim A A A, Belafhal A
Laboratory of Nuclear, Atomic and Molecular Physics, Department of Physics, Faculty of Sciences, Choua\"ib Doukkali University, P. D. Box 20, 24000 El Jadida, Morocco
Abstract  Based on the irradiance moment definition and the analytical expression of waveform propagation for hypergeometric-Gaussian type-II beams passing through an ABCD system, the kurtosis parameter is derived analytically and illustrated numerically. The kurtosis parameters of the Gaussian beam, modified Bessel modulated Gaussian beam with quadrature radial and elegant Laguerre-Gaussian beams are obtained by treating them as special cases of the present treatment. The obtained results show that the kurtosis parameter depends on the change of the beam order m and the hollowness parameter p, such as its decrease with increasing m and increase with increasing p.
Keywords:  Kurtosis parameter      hypergeometric-Gaussian type-II beams      paraxial optical ABCD system  
Received:  08 September 2015      Revised:  12 November 2015      Accepted manuscript online: 
PACS:  42.55.Ah (General laser theory)  
  42.60.Jf (Beam characteristics: profile, intensity, and power; spatial pattern formation)  
Corresponding Authors:  Belafhal A     E-mail:

Cite this article: 

Khannous F, Ebrahim A A A, Belafhal A A closed form of a kurtosis parameter of a hypergeometric-Gaussian type-II beam 2016 Chin. Phys. B 25 044206

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