Narrow light beams with linear polarization in a Kerr medium

Bibliographic Details
Title: Narrow light beams with linear polarization in a Kerr medium
Authors: Ruban, Victor P.
Publication Year: 2025
Collection: Nonlinear Sciences
Physics (Other)
Subject Terms: Physics - Optics, Nonlinear Sciences - Pattern Formation and Solitons
More Details: 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.
Comment: 4 pages, 6 figures, in Russian
Document Type: Working Paper
Language: Russian
Access URL: http://arxiv.org/abs/2504.13681
Accession Number: edsarx.2504.13681
Database: arXiv
More Details
Language:Russian