Optical Fourier transform of pseudo-nondiffracting beams

A Chafiq, A Belafhal - Journal of Quantitative Spectroscopy and Radiative …, 2021 - Elsevier
We investigate the generation of the Fourier transform of nondiffracting beams modulated by
Gaussian envelope and the propagation through free space of these new generated beams …

[HTML][HTML] Propagation characteristics of Airy-Gaussian beams passing through a misaligned optical system with finite aperture

L Ez-Zariy, S Hennani, H Nebdi, A Belafhal - Optics and Photonics …, 2014 - scirp.org
Propagation characteristics of finite Airy-Gaussian beams through an apertured misaligned
first-order ABCD optical system are studied. In this work, the generalized Huygens-Fresnel …

Generalized Laguerre–Gaussian expansion for propagating Ince–Gaussian beams through paraxial optical system

BE Mechate, A Chafiq, A Belafhal - Optical and Quantum Electronics, 2024 - Springer
In this work, we propose to give a new mathematical formulation of the Ince–Gaussian
beams (IGBs) in terms of generalized Laguerre–Gaussian beams. This new expression …

On the rotation repetitions of Mathieu beams angular spectrum in frequency space

B El Mechate, A Chafiq, A Belafhal - Optik, 2021 - Elsevier
In the recent works on Mathieu beams, the angular spectrums commonly used are even and
odd angular Mathieu functions with an angular variation vary between 0 to 2 π. In this work …

Effects of turbulence on the vortex modes carried by quasi-diffracting free finite energy beam in ocean

Q Liang, Y Zhang, D Yang - Journal of Marine Science and Engineering, 2020 - mdpi.com
By developing new wave structure function of a beam waves, we derive the transmitting
probability of signal vortex modes in oceanic turbulence based on Rytov approximation …

An approximate analytical propagation formula for Gaussian beams through a cat-eye optical lens under large incidence angle condition

YZ Zhao, HY Sun, YH Zheng - Chinese Physics Letters, 2011 - iopscience.iop.org
Based on the generalized diffraction integral formula and the idea that the angle
misalignment of the cat-eye optical lens can be transformed into the displacement …

[PDF][PDF] Mathieu-Gauss beam and its propagation

L Ez-Zariy, H Nebdi, A Chafiq, A Belafhal - Phys. Chem. News, 2012 - researchgate.net
Based on the generalized Collins integral formula and using the expansion of the hard
aperture function into a finite sum of complex Gaussian functions, an approximate analytical …

[PDF][PDF] Propagation of flat-toped Mathieu-Gauss beams and their derived beams through a misaligned optical system

L Ez-Zariy, H Nebdi, A Belafhal - Phys. Chem. News, 2012 - researchgate.net
Using the generalized diffraction integral formula for paraxial misaligned optical systems, an
analytical propagation expression is derived for the flattened Mathieu Gauss beam (FTMG) …

Near-field spectral shift of a zero-order Bessel beam scattered from a spherical particle

F Chen, J Li, A Belafhal, A Chafiq, X Sun - Laser Physics Letters, 2018 - iopscience.iop.org
Within the accuracy of the first-order Born approximation, expressions are derived for the
near-zone spectrum of a zero-order Bessel beam scattered from a spherical particle whose …

[PDF][PDF] Diffraction of Finite Airy-Hermite-Gaussian Beams by an apertured misaligned optical system

AAA Ebrahim, L Ez-Zariy, M Boustimi, A Chafiq… - Phys. Chem …, 2014 - academia.edu
An analytical expression to study the propagation properties of an Airy-Hermite-Gaussian
beam passing through an apertured misaligned optical system is developed, in this paper …