Narrow light beams with linear polarization in a Kerr medium

Abstract

Within the curl-curl type vector equation describing a monochromatic light wave in a focusing Kerr medium, the transverse structure of extremely narrow, linearly polarized self-focused optical beams is found numerically with a high accuracy. For such two-dimensional spatial solitons with their width as just about one wavelength, all the three components of electric field are essential. Since the solitons are ``saddle points'' of some functional, the numerical method used here is a relaxation procedure, with the functional being minimized on stable modes, and maximized on almost all unstable modes. The only remaining unstable mode of common amplitude is stabilized by fixing the energy flux across the beam cross-section.

4 pages, 6 figures, in Russian

References in corpus (5)

• Extreme nonlinear electrodynamics in metamaterials with very small linear dielectric permittivity
• Polarization shaping for control of nonlinear propagation
• Two-peaked and flat-top perfect bright solitons in epsilon-near-zero nonlinear metamaterials: novel Kerr self-trapping mechanisms
• Stability of narrow beams in bulk Kerr-type nonlinear media
• Small-scale light structures in a Kerr medium