Origin, experimental realization, illustrations, and applications of Bessel beams: a tutorial review

AS Rao - arXiv preprint arXiv:2401.04307, 2024 - arxiv.org
Over the past 36 years much research has been carried out on Bessel beams (BBs) owing to
their peculiar properties, viz non-diffraction behavior, self-healing nature, possession of well …

An Intriguing Interpretation of 1D and 2D Non-Diffracting Modes in Cosine Profile

AS Rao - Photonics, 2023 - mdpi.com
We provide a simple analysis based on ray optics and Dirac notation for 1D (one-
dimensional) and 2D (two-dimensional) non-diffracting modes in the cosine profile, which …

A conceptual review on Bessel beams

SR Allam - Physica Scripta, 2024 - iopscience.iop.org
Over the past 36 years much research has been carried out on Bessel beams (BBs) owing to
their peculiar properties, viz non-diffraction behavior, self-healing nature, possession of well …

The non-diffracting nature of truncated Hermite–Gaussian beams

A Bencheikh, A Forbes - JOSA A, 2020 - opg.optica.org
Using the asymptotic formula of the Hermite polynomials for higher-orders n≫ 1, an elegant
mathematical expression that makes Hermite–Gaussian beams and cosine beams …

Do Laguerre–Gaussian beams recover their spatial properties after all obstacles?

S Chabou, A Bencheikh, J Pinnell… - Applied Physics B, 2020 - Springer
It has been known for some time that Bessel–Gaussian beams and their associated families
self-heal after encountering obstacles. Recently, it has been shown theoretically and …

An intriguing interpretation of Cosine beams

SR Allam - arXiv preprint arXiv:2307.14201, 2023 - arxiv.org
We provide a simple analysis based on ray optics and Dirac notation for one and two-
dimensional Cosine beams. We then went on to understand the properties of the Bessel …

Extended focus depth for Gaussian beam using binary phase diffractive optical elements

B Abdelhalim, M Fromager, K Aït-Ameur - Applied Optics, 2018 - opg.optica.org
A novel technique to improve the focus depth of a Gaussian beam is presented in this paper.
The improvement is based on two-step beam shaping using a cascade of binary phase …

Comparison between interferometric and diffractive laser beam shaping

A Harfouche, B Boubaha, M Fromager… - Journal of …, 2014 - iopscience.iop.org
We consider the transformation of a Gaussian laser beam into a flat-top intensity profile or
into an optical bottle beam (OBB) by resorting to a diffractive or an interferometric method …

Elegant Gaussian beams: nondiffracting nature and self-healing property

S Chabou, A Bencheikh - Applied Optics, 2020 - opg.optica.org
Alongside the well-known solutions of standard beams, elegant Gaussian beams (eGBs)
have been presented as alternative solutions to the paraxial wave equation. In this work, we …

Improving the intensity of a focused laser beam

S Haddadi, M Fromager, D Louhibi… - … , and Beam Control …, 2015 - spiedigitallibrary.org
Let us consider the family of symmetrical Laguerre-Gaus modes of zero azimuthal order
which will be denoted as LG p0. The latter is made up of central lobe surrounded by p …