Generalized M2-factor of hard-edged diffracted
Hypergeometric-Gaussian type-II beams
A.A.A. Ebrahim, F. Khannous, H. Nebdi, A. Chafiq, A. Belafhal*
Laboratoire de Physique Nucléaire, Atomique et Moléculaire
Département de Physique, Faculté des Sciences, Université Chouaïb Doukkali,
B. P.: 20, 24000 El Jadida, Morocco
* Corresponding author. E-mail: firstname.lastname@example.org
Received: 06 February 2013; revised version accepted: 20 May 2014
Based on the truncated second-order moments definition, the generalized M²-factor of the hypergeometric-Gaussian type-II beams in the cylindrical coordinate system through a hard-edged circular aperture is derived. The effects of the beam truncation parameter d and the beam orders on the beam propagation factor have been investigated. The theoretical results show that the generalized M²-factor can be simplified to four special cases, among of them, the truncated and untruncated Gaussian beams. The power fraction of the hypergeometric-Gaussian type-II beams is calculated analytically and illustrated numerically.
Keywords: Generalized M²-factor; Hard-edged; Hypergeometric-Gaussian type-II beams; Power fraction.