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A. Belafhal

Researcher at Université catholique de Louvain

Publications -  76
Citations -  918

A. Belafhal is an academic researcher from Université catholique de Louvain. The author has contributed to research in topics: Beam (structure) & Gaussian. The author has an hindex of 18, co-authored 35 publications receiving 746 citations.

Papers
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Journal ArticleDOI

Propagation properties of Hermite-cosh-Gaussian laser beams

A. Belafhal, +1 more
TL;DR: In this article, the closed-form propagation expressions of Hermite-cosh-Gaussian laser beams through a paraxial optical ABCD system were derived, as a function of the probability function, which relates the electromagnetic fields on the input plane to those on its output plane.
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N-body Quantum-mechanical Hamiltonians - Extrapotential Terms

TL;DR: In this paper, the effect of changing the normalization convention is thoroughly investigated, with special emphasis on the occurrence of a nondifferential term in the expression of the kinetic energy operator, the so-called ''extrapotential'' term.
Journal ArticleDOI

Collins formula and propagation of Bessel-modulated Gaussian light beams through an ABCD optical system

TL;DR: In this article, an expression for the amplitude distribution of a Bessel-modulated Gaussian light beam propagating through an optical system described by an ABCD matrix with real elements is derived.
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Focusing properties and focal shift in hyperbolic-cosine-Gaussian beams

Z. Hricha, +1 more
TL;DR: Based on the generalized Huygens-Fresnel diffraction integral, the expression of the focused hyperbolic-cosineGaussian (ChG) beams is derived for any transverse plane in the focal region as discussed by the authors.
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Paraxial propagation of Mathieu beams through an apertured ABCD optical system

TL;DR: Based on the relationship between separable solutions of the Helmholtz equation, the authors expanded the fields amplitude associated with Mathieu beams in terms of Bessel beams and derived an approximated analytical expression of the amplitude distribution of Mathieu beam at the output plane of any apertured paraxial ABCD optical system.