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Effect of a turbulent atmosphere on the propagation properties of partially coherent vortex cosine-hyperbolic-Gaussian beams

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Abstract

In this paper, the paraxial propagation of a partially coherent vortex cosine-hyperbolic-Gaussian beam (PCvChGB) in a turbulent atmosphere is investigated theoretically. The analytical expression of the average intensity for a PCvChGB propagating in a turbulent atmosphere is derived based on the Huygens–Fresnel integral and Rytov method. Numerical examples illustrating the effects of turbulence on beam propagation under various initial beam parameters and coherence length are presented. It is found that a PCvChGB spreads faster when the coherence length σ is smaller. The beam can keep its initial hollow dark profile unchanged within a short propagation range, and then is transformed into a solid Gaussian-like beam in the far field. The beam conversion speed is faster at stronger turbulence, larger vortex charge M and smaller decentered b, initial coherence length or wavelength. The obtained results could be beneficial for applications of PCvChGB in optical communications, remote sensing, and atom optics.

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Authors and Affiliations

  1. Laboratory LPNAMME, Laser Physics Group, Department of Physics, Faculty of Sciences, Chouaïb Doukkali University, P. B 20, 24000, El Jadida, Morocco

    Z. Hricha, M. Lazrek, M. El Halba & A. Belafhal

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  1. Z. Hricha
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  2. M. Lazrek
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  3. M. El Halba
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  4. A. Belafhal
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Hricha, Z., Lazrek, M., Halba, M.E. et al. Effect of a turbulent atmosphere on the propagation properties of partially coherent vortex cosine-hyperbolic-Gaussian beams. Opt Quant Electron 54, 719 (2022). https://doi.org/10.1007/s11082-022-04064-1

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