Evolution properties of Laguerre higher order cosh-Gaussian beam propagating through Fractional Fourier transform optical system-Reference-Cited by-同舟云学术

Evolution properties of Laguerre higher order cosh-Gaussian beam propagating through Fractional Fourier transform optical system

Published:2024-01-03 Issue: Volume: Page:
ISSN:
Container-title:
language:
Short-container-title:

Author:

Saad Faroq¹,Benzehoua Halima²,Belafhal Abdelmajid²

Affiliation:

1. Cihan University-Erbil

2. Chouaïb Doukkali University

Abstract

Abstract We theoretically investigate the propagation properties of a Laguerre higher order cosh Gaussian beam (LHOchGB) in a fractional Fourier transform (FRFT) optical system. Based on the Collins formula and the expansion of the hard aperture function into a finite sum of Gaussian functions, we derive analytical expressions for a LHOchGB propagating through apertured and unapertured FRFT systems. The analysis of the evolution of the intensity distribution at the output plane has shown from the obtained expressions, using illustrative numerical examples. The results show that the intensity distribution of the considered beam propagating in FRFT is significantly influenced by the source beam parameters and the parameters of the FRFT system. It is possible to demonstrate the potential benefits of the results obtained for applications in laser beam shaping, optical trapping, and micro-particle manipulation.

Publisher

Research Square Platform LLC

Reference32 articles.

1. Benzehoua, H., Belafhal, A.: Spectral properties of pulsed Laguerre higher-order cosh Gaussian beam propagating through the turbulent atmosphere. Opt. Commun. 541, 1–9, Benzehoua, H., Belafhal, A.: Analysis of the behavior of pulsed vortex beams in oceanic turbulence. Opt. Quant. Electron. 55, 684–701 (2023b)., Benzehoua, H., Belafhal, A.: Analyzing the spectral characteristics of a pulsed Laguerre higher-order cosh-Gaussian beam propagating through a paraxial ABCD optical system. Opt. Quant. Electron. 55, 663–681 (2023c). (2023a)

2. Influence of maritime turbulence on the spectral changes of pulsed Laguerre higherorder coshGaussian beam;Benzehoua H;Opt. Quant. Electron.,2023

3. Fractional Fourier transform for elliptical Gaussian beam;Cai Y;Opt. Commun.,2007

4. Lens-system diffraction integral written in terms ofmatrix optics;Collins SA;J. Opt. Soc. Am.,1970

5. Propagation and transformation of four-petal Gaussian vortex beams in fractional Fourier transform optical system;Dai Z-P;Optik,2021