Generalized beam propagation factor

of Hollow sinh-Gaussian beams

passing through a hard-edged aperture


F. Khannous, A.A.A. Ebrahim, H. Nebdi, 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:

Received: 11 February 2014; revised version accepted: 19 May 2014



     The generalized M²-factor of hollow sinh-Gaussian beams through a hard-edged aperture is derived based on the truncated second-order moments definition. The effects of the beam truncation parameter d and the beam order n on the beam propagation factor have been investigated numerically. Three special cases have been obtained from the closed-form of the M²-factor of the truncated hollow sinh-Gaussian beams; the non-truncated hollow sinh-Gaussian beams, the truncated and non-truncated Gaussian beams. The power fraction of this beams family is also illustrated analytically and numerically.


Keywords: Generalized -factor; Hard-edged aperture; Hollow-sinh-Gaussian beams; Power fraction.



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