A closed form of a kurtosis parameter of a hypergeometric-Gaussian type-II beam. (20th February 2016)

• Record Type: Journal Article
• Authors: Khannous, F; Ebrahim, A A A; Belafhal, A
• Is Part Of: Chinese physics B. Volume 25:Number 4(2016)
• Publication Date: 2016-02-20
• Subjects: 42.55.Ah -- 42.60.Jf; Kurtosis parameter -- hypergeometric-Gaussian type-II beams -- paraxial optical ABCD system; Physics -- Periodicals; Physics; Periodicals; 530.05
• DOI: 10.1088/1674-1056/25/4/044206
• Languages: English
• ISSNs: 1674-1056

Abstract

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 .