Recent generalizations of the standard nonlinear Schroedinger equation (NLSE), aimed at describing nonparaxial prop-agation in Kerr media are examined. An analysis of their limitations, based on available exact results for transverse electric (TE) and trans-verse magnetic (TM) (1+1)-D spatial solitons, is presented. Numerical stability analysis reveals that nonparaxial TM soltions are unstable to perturbations and tend to catastrophically collapse while TE solitons are stable even in the extreme nonparaxial limit.
©2006 Optical Society of America
OSA Recommended Articles
OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.
Alert me when this article is cited.
Equations on this page are rendered with MathJax. Learn more.