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Analyzing the spectral characteristics of a pulsed Laguerre higher-order cosh-Gaussian beam propagating through a paraxial ABCD optical system

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Abstract

The study focuses on the behavior of pulsed Laguerre higher-order cosh-Gaussian (LHChG) beam propagating through a paraxial ABCD optical system. The formula for propagation is derived using the extended Huygens-Fresnel principle and Fourier Transform method. The investigation analyzes how transverse positions and initial beam parameters affect the spectral intensity of the beam. It also examines the relative spectral shift of the beam at different radial coordinates through numerical calculations. The findings show that the spectral intensity is influenced by beam order and pulse duration. From our main results, one derives some particular cases of the considered beam such as the Laguerre cosh-Gaussian (LChG), Laguerre-Gaussian (LG), and Gaussian beams. Physical explanation for the spectral transition of the analyzed beam in a paraxial ABCD optical system is provided. The research has practical applications in information coding and transmission.

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Authors and Affiliations

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

    H. Benzehoua & A. Belafhal

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  1. H. Benzehoua
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  2. 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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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 (2023). https://doi.org/10.1007/s11082-023-04959-7

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