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Investigation on propagation properties of a new optical vortex beam: generalized Hermite-cosh-Gaussian beam

A Generalized Hermite-cosh-Gaussian (GHchG) beam is introduced as a general form of Hermite-cosh-Gaussian beams families. The propagation formula of this new optical vortex beam passing through an ABCD optical system is derived and illustrated with numerical examples. The results show that the decen...

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Bibliographic Details
Published in:Optical and quantum electronics 2023, Vol.55 (1), Article 83
Main Authors: Saad, Faroq, Belafhal, Abdelmajid
Format: Article
Language:English
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Summary:A Generalized Hermite-cosh-Gaussian (GHchG) beam is introduced as a general form of Hermite-cosh-Gaussian beams families. The propagation formula of this new optical vortex beam passing through an ABCD optical system is derived and illustrated with numerical examples. The results show that the decentered parameter ω 0 Ω , the hollowness parameter l , the Hermite order m and the fractional order p affect strongly the characteristics of the considered beam upon propagating in free space and Fractional Fourier transform (FRFT). The obtained results provide more general characteristic because the Hermite-cosh-Gaussian, Hermite-Gaussian, hollow higher-order cosh-Gaussian, higher-order cosh-Gaussian, cosh-Gaussian and Gaussian beams are obtained as special cases of GHchG beams.
ISSN:0306-8919
1572-817X
DOI:10.1007/s11082-022-04292-5