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Evolution of the beam-width parameter of zeroth-order Bessel–Gaussian beams in collisional plasma with density ripple

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Abstract

In the present paper, we have investigated the self-focusing of zeroth-order Bessel–Gaussian beams in collisional plasma with density ripple. Based on Wentzel–Kramers–Brillouin and the paraxial ray approximations, the nonlinear differential equation governing the evolution of beam-width parameter is evaluated. The variation of beam-width parameter with propagation distance is examined for different values of ripple wave number and beam parameters. From our study, it is seen that stronger self-focusing is obtained when the density ripple is important. The results corresponding to Gaussian beams are deduced from this work as a particular case.

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

    L. Ouahid, L. Dalil-Essakali & A. Belafhal

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  1. L. Ouahid
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  2. L. Dalil-Essakali
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  3. A. Belafhal
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Correspondence to A. Belafhal.

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Ouahid, L., Dalil-Essakali, L. & Belafhal, A. Evolution of the beam-width parameter of zeroth-order Bessel–Gaussian beams in collisional plasma with density ripple. Opt Quant Electron 51, 109 (2019). https://doi.org/10.1007/s11082-019-1818-8

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