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Wigner distribution function of Lorentz–Gauss beams: a note

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Abstract

Stimulated by a recent investigation of the Wigner distribution function of a Lorentz–Gauss beam, we present closed-form expression for such a function at the initial plane, which is alternative to that deduced in the aforementioned investigation. Such an expression can be usefully exploited to fully account for the Wigner-plane dynamics of Lorentz–Gauss beams as far as the paraxial propagation is concerned.

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  1. ENEA UTAPRAD–MAT Laboratorio Modellistica Matematica, via E. Fermi 45, 00044, Frascati, Rome, Italy

    Amalia Torre

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  1. Amalia Torre
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Correspondence to Amalia Torre.

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Torre, A. Wigner distribution function of Lorentz–Gauss beams: a note. Appl. Phys. B 109, 671–681 (2012). https://doi.org/10.1007/s00340-012-5236-x

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  • DOI: https://doi.org/10.1007/s00340-012-5236-x

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