Parametric characterization of truncated Hermite-cosh-Gaussian beams

Starting from the generalized second-order moments definition, a closed-form expression of M_G²-factor of hard-edge diffracted Hermite-cosh-Gaussian beams is investigated theoretically and some numerical calculations examples are illustrated. Our results constitute a more generalized study of M_G²-factor of some laser beams.     

Effect of light absorption and temperature on self-focusing of finite Airy–Gaussian beams in a plasma with relativistic and ponderomotive regime

In the present paper, we have studied the influence of light absorption and temperature on self-focusing of finite Airy–Gaussian beams in plasma by considering the combined effects of relativistic and the ponderomotive regime. The nonlinear differential equations of dimensionless beam-width parameter are derived using the paraxial ray and Wentzel–Kramers–Brillouin approximation, and they are solved numerically. The effect of absorption coefficient, plasma electron temperature, relative plasma density, intensity parameter and modulation parameter beam on the self-focusing of finite Airy–Gaussian beams in plasma is presented numerically and discussed.     

Axial intensity distribution and focal shifts of focused partially coherent conical Bessel–Gauss beams

Based on the generalized Huygens–Fresnel diffraction integral and the theory of partially coherent light, the axial intensity distribution and the focal shifts of focused partially coherent conical Bessel–Gauss beams are investigated. The dependence of the maximum on-axis intensity and the associated focal shift on the Fresnel number and the coherence parameter are examined and illustrated numerically. The results related to the J ₀-correlated beams and the fully coherent Bessel–Gauss beams are obtained as particular cases of this study.     

Effect of turbulent atmosphere on the on-axis average intensity of Pearcey–Gaussian beam

The propagation characteristics of the Pearcey–Gaussian(PG) beam in turbulent atmosphere are investigated in this paper.The Pearcey beam is a new kind of paraxial beam,based on the Pearcey function of catastrophe theory,which describes diffraction about a cusp caustic.By using the extended Huygens–Fresnel integral formula in the paraxial approximation and the Rytov theory,an analytical expression of axial intensity for the considered beam family is derived.Some numerical results for PG beam propagating in atmospheric turbulence are given by studying the influences of some factors,including incident beam parameters and turbulence strengths.     

Impact of light absorption and temperature on self-focusing of zeroth-order Bessel–Gauss beams in a plasma with relativistic–ponderomotive regime

The influence of light absorption and temperature on self-focusing of zeroth-order Bessel–Gauss beams through plasma, with relativistic–ponderomotive regime, is investigated in this paper. The nonlinear differential equation for beam-width is established by using parabolic equation approach under Wentzel–Kramers–Brillouin (WKB) paraxial approximation and solved numerically. The numerical results show the effects of beam parameter, relative density plasma, intensity parameter, absorption coefficient and plasma electron temperature on self-focusing of zeroth-order Bessel–Gauss beams in plasma. The self-focusing of Gaussian beams in the considered plasma is also deduced as a particular case in the present work.