The paper presents a numerical study of the periodic self focusing behavior of a laser pulse propagation in a gas filled capillary plasma with a parabolic electron density profile. An implicit and inherently stable Crank-Nicholson method was used to demonstrate the periodic laser beam waist behavior inside the tube discharge. The dependence of the tube radius and beam waist on maximum intensity delivered to the waveguide and its influence on the modulated Rayleigh length was discussed.
Key words: Plasma waveguide, pulsed laser, parabolic electron density.
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