2023
DOI: 10.1007/s11082-023-05409-0
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Introduction of Bessel higher-order cosh-Gaussian beam and its propagation through a paraxial ABCD optical system

N. Nossir,
L. Dalil-Essakali,
A. Belafhal

Abstract: In this paper, we introduce a new laser beam called Bessel higher-order cosh-Gaussian (BHChG) beam and analyzed its propagation properties through a paraxial ABCD optical system. The analytical expression of the diffracted beam is derived based on the extended Huygens-Fresnel integral and some numerical examples of BHChG beam propagating in a free space, through a thin lens and a Fractional Fourier transform (FRFT) system are exposed. The results reveal that the behavior of the output BHChG beam is affected by… Show more

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Cited by 10 publications
(7 citation statements)
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“…Henceforth, the Bessel higher-order cosh-Gaussian (BHoChG) beam has been successively introduced and examined by our research group (Nossir et al 2023b, Dalil-Essakali et al 2023. The specificity of this field is that the BHoChG beam is known to be a generalized form and the BHoShG beam can be a limiting case of this field.…”
Section: Have Explored Partially Coherentmentioning
confidence: 99%
See 1 more Smart Citation
“…Henceforth, the Bessel higher-order cosh-Gaussian (BHoChG) beam has been successively introduced and examined by our research group (Nossir et al 2023b, Dalil-Essakali et al 2023. The specificity of this field is that the BHoChG beam is known to be a generalized form and the BHoShG beam can be a limiting case of this field.…”
Section: Have Explored Partially Coherentmentioning
confidence: 99%
“…The expression electric field of the BHoChG beam and the BHoShG beam at z = 0 can be expressed in the cylindrical coordinates system as (Nossir et al, 2023b;Dalil-Essakali et al, 2023)…”
Section: Propagation Of the Bhochg Beam And The Bhoshg Beam In Variou...mentioning
confidence: 99%
“…In the cylindrical coordinates system, the analytical expression of the field distribution of the BHChG beam at the source plane, can be expressed as (Nossir et al 2023)…”
Section: Principle Of the Propagation Of Bhchg Beam Through A Turbule...mentioning
confidence: 99%
“…On the other hand, our research group recently introduced the BHChG beam and its propagation through a paraxial optical system has been examined (Nossir et al 2023). The advantages of this laser beam model are to describe the comportment of some laser beams propagating in complex optical or other media.…”
Section: Introductionmentioning
confidence: 99%
“…More recently, a new family of laser beams called the Bessel higher-cosh-Gaussian (BHChG) beam (Nossir et al 2023b;Dalil-Essakali et al 2023) which is derived from the Laguerre higher-order cosh-Gaussian (LHChG) beam (Benzehoua and Belafhal 2023aand 2023c. The BHChG beam is a light beam model developed to describe a laser beam including Bessel cosh-Gaussian, Bessel-Gaussian and Gaussian beams.…”
Section: Introductionmentioning
confidence: 99%