Document Type

Book Chapter

Publication Date

2007

Publication Source

Nonlinear Optics and Applications

Abstract

In this Chapter, we provide a brief review of the underlying nonlinear Schrödinger and associated equations that model spatio-temporal propagation in one and higher dimensions in a nonlinear dispersive environment. Particular attention is given to fast adaptive numerical techniques to solve such equations, and in the presence of dispersion and nonlinearity management, saturating nonlinearity and nonparaxiality. A unique variational approach is also outlined which helps in determining the ranges of nonlinearity and dispersion parameters to ensure stable solutions of the nonlinear equations. The propagation of 3+1 dimensional spatio-temporal pulses, or optical bullets is also modeled using a fast adaptive split-step Hankel transform technique.

Inclusive pages

31-61

ISBN/ISSN

978-81-308-0173-5

Document Version

Published Version

Comments

This document is provided for download by permission of the publisher. Permission documentation is on file.

Original citation: Nonlinear Optics and applications, 2007. Eds. Hossin A. Abdeldayem and Donald O. Frazier. Research Signpost. ISBN 978-81-308-0173-5

Publisher

Research Signpost

Place of Publication

Kerala, India

Peer Reviewed

yes