Airy-related beams generated from a higher-order cosine-hyperbolic-Gaussian beam passing through a multiple Airy transforms optical system

Yaalou, M.; Hricha, Z.; Belafhal, A.

doi:10.1007/s11082-022-04405-0

Cited by 5 publications

(2 citation statements)

References 44 publications

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“…Nowadays, the progress in laser research beams has brought with it various classes of laser beams. In this domain, our research group has contributed by introducing new laser beams and studying their transformation by optical systems (Ez-Zariy et al 2014, Hennani et al 2015, El Mechate et al 2021, Yaalou et al 2023). In addition, the complexity of most laser beams profiles compared with the Gaussian beam make the study of their propagation through the turbulent atmosphere one of the most recent challenges for the researchers.…”

Section: Introductionmentioning

confidence: 99%

Ince–Gaussian beams propagation through turbulent atmospheric medium

El Mechate,

Chafiq,

Belafhal

2024

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In this work, we reproduce the well-known Ince-Gaussian beams (IGBs) by expanding them in the Laguerre Gaussian basis. The established formula will permit us to derive the analytical expression of the average intensity of the IGBs propagating through the turbulent atmosphere by using the extended Huygens-Fresnel diffraction integral in the framework of Rytov theory. This work is concerned with finding a closed-form expression for the average intensity of IGBs propagating through weak and strong Kolmogorov turbulence and completes other scientific research works that deal with numerical approach. The numerical simulations of the analytical average intensity at the receiver plane and the effective beam spot size of the IGBs propagating through turbulent atmosphere environment are presented in this paper. Furthermore, the influences of the beam profile parameters and the turbulence strength on the evolution of the diffracted beam are investigated and discussed in detail. The present results can be considered as a useful tool to predict the behavior of IGBs for the applications in turbulent atmosphere.

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Section: Introductionmentioning

confidence: 99%

Ince–Gaussian beams propagation through turbulent atmospheric medium

El Mechate,

Chafiq,

Belafhal

2024

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“…The ATOS setup consists of a juxtaposition of two Fourier transform systems separated by a spatial light modulator (SLM) with a cubic phase modulation (Jiang et al 2012a, b). The ATOS has been used to generate the Airy transformation of various of light beams, e.g., the array Gaussian beam (Ez-zariy et al 2016), cosh-Gaussian beam (Ez-zariy et al 2018), double-half inverse Gaussian beam (Yaalou et al 2019a), controllable dark hollow Gaussian beam (Yaalou et al 2019b), cosh-Airy beam (Yaalou et al 2019c), four-petal Gaussian beam (Yaalou et al 2020a), Hermite-cosh-Gaussian beam (Yaalou et al 2020b), Laguerre-Gaussian beam (Zhou et al 2020a), higher-order cosh-Gaussian beam (Yaalou et al 2020c(Yaalou et al , 2023, Lorentz-Gauss beam (Li et al 2020), Hermite-Gaussian and elegant Hermite-Gaussian beams (Zhou et 2020Xu et al 2021;Chu et al 2021). The cited papers have shown that the performance of the generated Airy beams is closely related to the input beam parameters and the control factors of a SLM.…”

Section: Introductionmentioning

confidence: 99%

Transformation of a vortex cosine-hyperbolic-Gaussian beam by an Airy transform optical system

Yaalou¹,

Hricha²,

Belafhal³

2023

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The present paper investigates the Airy transformation of a vortex cosine-hyperbolic-Gaussian beam (vChGB). The analytical expression for this beam passing through an Airy Transform Optical System is derived in detail based on the Huygens-Fresnel integral. It is demonstrated that the Airy transform vChGB is a superposition of Airy and Airy prime modes.Numerical results show that the output beam is Airy-like with a central vortex, and its intensity distribution can be controlled by adjusting the initial vChGB parameters and control factors of the Airy Transform. The obtained results could be beneficial for the applications of Airy-related beams.

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