Abstract

The emerging of polarization singularity lines ($C$-lines), accompanying the self-focusing of an initially elliptically polarized Gaussian beam in an isotropic medium with various mechanisms of cubic nonlinearity, is studied numerically. Lines of circular polarization can appear in planes perpendicular to the beam axis as circles centered at the axis in both sub-threshold and super-threshold regimes of nonlinear self-action. The range of beam power values, for which the $C$-lines are formed, rapidly expands as the initial polarization of the beam gets closer to circular. The radius of the first formed $C$-line and the distance from the $C$-line to the border of the medium are decreasing if the beam power increases.

© 2019 Optical Society of America

Polarization singularities in the self-focusing of an elliptically polarized laser beam in the isotropic phase of a cholesteric liquid crystal close to the temperature of mesophase transition

G. M. Shishkov, K. S. Grigoriev, and V. A. Makarov
J. Opt. Soc. Am. B 38(10) 2932-2937 (2021)

Structure of polarization singularities of a light beam at triple frequency generated in isotropic medium by singularly polarized beam

K. S. Grigoriev, P. S. Ryzhikov, E. B. Cherepetskaya, and V. A. Makarov
Opt. Express 25(21) 25416-25421 (2017)

Initiating self-focusing of beams carrying spatial phase singularities

Lyubomir Stoyanov, Georgi Maleshkov, Ivan Stefanov, and Alexander Dreischuh
J. Opt. Soc. Am. B 31(5) 1159-1164 (2014)

Influence of transverse effects on self-induced polarization changes in an isotropic Kerr medium

A. J. van Wonderen
J. Opt. Soc. Am. B 14(5) 1118-1130 (1997)

Second harmonic generation in isotropic chiral medium with nonlocality of nonlinear optical response by heterogeneously polarized pulsed beams

K. S. Grigoriev, N. Yu. Kuznetsov, E. B. Cherepetskaya, and V. A. Makarov
Opt. Express 25(6) 6253-6262 (2017)