Dynamics of self-focusing and self-phase modulation of elliptic Gaussian laser beam in a Kerr-medium

Abstract

Using a direct variational technique involving elliptic Gaussian laser beam trial function, the combined effect of non-linearity and diffraction on wave propagation of optical beam in a homogeneous bulk Kerr-medium is presented. Particular emphasis is put on the variation of beam width and longitudinal phase delay with the distance of propagation. It is observed that no stationary self-trapping is possible. The regularized phase is also seen to be always negative.

Gaussian beam diffraction in inhomogeneous and nonlinear media: analytical and numerical solutions by complex geometrical optics

“…This conclusion is in agreement with the results, known from literature [25,26]. Complex Riccati Eqs.…”

Optical guiding of laser beam in nonuniform plasma

“…Variation of normalised beam width Ò of the ionising pulse as a function of dimensionless distance of propagation for the following set of parameters: there is finite contribution from the last term on the right hand side of eq. Investigation of such self phase modulation may play an important role since it introduces a wave number shift [29]. This becomes further evident if we compare the results with those of Liu and Tripathi (figure 1 of ref.…”

“…(12) which prevents the beam from steep defocusing. Even though ½ and ¾ here are positive, it can be shown that regularised phase is always negative [29]. [24]).…”

Spatio-temporal control of femtosecond laser pulse filamentation in the atmosphere

“…4a). It becomes more and more elliptical and requires slightly higher value of critical power P cr , than Gaussian beam 28,29 . As the structure constant 2 n C increase further, two hot spots appear close to each other and begin to compete for the pulse energy (Fig.…”