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Published June 12, 2006 | public
Journal Article Open

On the limits of validity of nonparaxial propagation equations in Kerr media

Abstract

Recent generalizations of the standard nonlinear Schroedinger equation (NLSE), aimed at describing nonparaxial propagation in Kerr media are examined. An analysis of their limitations, based on available exact results for transverse electric (TE) and transverse 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.

Additional Information

© 2006 Optical Society of America Original Manuscript: February 14, 2006. Manuscript Accepted: May 9, 2006. Revised Manuscript: May 9, 2006. Published: June 12, 2006

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August 22, 2023
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