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Propagation analysis of Whittaker–Gaussian laser beam in a gradient-index medium

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Abstract

In this paper, the propagation of Whittaker–Gaussian beam passing through a gradient-index (GRIN) medium is studied. Based on the extended Huygens–Fresnel diffraction integral, the analytical expression of the intensity distribution for the resulting beam called Humbert beam is derived and discussed through numerical examples. The obtained results indicate that the diffracted beam evolves periodically versus the propagation distance in GRIN and its behavior depends interestingly on the beam initial parameters and the gradient-index parameter. Our results can be useful for some applications such as in multi-dimensional optical manipulation, remote sensing domain and imaging.

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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

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

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  1. N. Nossir
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  2. L. Dalil-Essakali
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  3. A. Belafhal
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All authors contributed to the study conception and design. All authors performed simulations, data collection and analysis and commented the present version of the manuscript. All authors read and approved the final manuscript.

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Correspondence to A. Belafhal.

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Nossir, N., Dalil-Essakali, L. & Belafhal, A. Propagation analysis of Whittaker–Gaussian laser beam in a gradient-index medium. Opt Quant Electron 55, 1024 (2023). https://doi.org/10.1007/s11082-023-05317-3

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