Linear and nonlinear propagation characteristics of multi-Gaussian laser beams

doi:10.1088/1674-1056/abb306

Abstract

Theoretical investigation on the propagation characteristics of a new class of laser beams known as multi Gaussian (M.G) laser beams has been presented. To investigate the linear characteristics, propagation of the laser beam in vacuum has been considered. Whereas, the nonlinear characteristics have been investigated in plasmas. Optical nonlinearity of the plasma has been modeled by relativistic mass nonlinearity of the plasma electrons in the field of laser beam. Formulation is based on finding the semi analytical solution of the wave equation for the slowly varying envelope of the laser beam. Particularly, the dynamical evolutions of the beam width and longitudinal phase of the laser beam have been investigated in detail.

Keywords: self-focusing multi Gaussian self phase modulation self-channeling

Received: 27 September 2019
Revised: 01 August 2020
Accepted manuscript online: 27 August 2020

Corresponding Authors: ^†Corresponding author. E-mail: naveens222@rediffmail.com ^‡Corresponding author. E-mail: sandy.dadra@yahoo.com

Cite this article:

Naveen Gupta and Sandeep Kumar Linear and nonlinear propagation characteristics of multi-Gaussian laser beams 2020 Chin. Phys. B 29 114210

Fig. 1.

3D intensity profile of the M.G laser beam for (a) x₀/r₀ = 0, (b) x₀/r₀ = 0.50 (c) x₀/r₀ = 1, (d) x₀/r₀ = 1.50, and (e) x₀/r₀ = 1.75.

Fig. 2.

Variation of the ration Σ(0) of the r.m.s beam widths of an input M.G beam to that of a Gaussian beam with x₀/r₀.

Fig. 3.

Variation of beam width parameter f against the distance of propagation for different values of x₀/r₀ viz., x₀/r₀ = 0, 1.50, and 1.80 in the absence of nonlinear refraction.

Fig. 4.

Variarion of beam width parameter f with dimensionless distance of propagation ξ for different values of x₀/r₀ viz., x₀/r₀ = 0, 0.75, and 1.50.

Fig. 5.

Variarion of beam width parameter f with dimensionless distance of propagation ξ for different values of x₀/r₀ viz., x₀/r₀ = 1.60, 1.70, and 1.80.

Fig. 6.

Phase space plots for self-focused M.G laser beam for different values of x₀/r₀ viz., x₀/r₀ = 0, 0.75, and 1.50.

Fig. 7.

Phase space plots for self-focused M.G laser beam for different values of x₀/r₀ viz., x₀/r₀ = 1.60, 1.70, and 1.80.

Fig. 8.

Variation of potential function for self-focused M.G laser beam for different values of x₀/r₀ viz., x₀/r₀ = 0, 0.75, and 1.50.

Fig. 9.

Variation of potential function for self-focused M.G laser beam for different values of x₀/r₀ viz., x₀/r₀ = 1.60, 1.70, and 1.80.

Fig. 10.

Variation of equilibrium beam width r_e against the normalized intensity $β E_{00}^{2}$ for different values of x₀/r₀ viz., x₀/r₀ = 0, 0.75, and 1.50.

Fig. 11.

Variation of equilibrium beam width r_e against the normalized intensity $β E_{00}^{2}$ for different values of x₀/r₀ viz., x₀/r₀ = 1.60, 1.70, and 1.80.

Fig. 12.

Variation of angular momentum l of M.G beam in (f,θ_f) plane with x₀/r₀

Fig. 13.

Variation of the ratio Σ_K(0) of the r.m.s beam widths of an input M.G beam to that of a Gaussian beam with x₀/r₀

Fig. 14.

Variarion of longitudinal phase θ_p with dimensionless distance of propagation ξ for different values of x₀/r₀ viz., x₀/r₀ = 0, 0.75, and 1.50.

Fig. 15.

Variarion of longitudinal phase θ_p with dimensionless distance of propagation ξ for different values of x₀/r₀ viz., x₀/r₀ = 1.60, 1.70, and 1.80.

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