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
Copyright
Copyright © 2007, Research Signpost
Publisher
Research Signpost
Place of Publication
Kerala, India
Peer Reviewed
yes
eCommons Citation
Nehmetallah, George and Banerjee, Partha P., "Study of Soliton Stabilization in D+1 Dimensions using Novel Analytical and Numerical Techniques" (2007). Electrical and Computer Engineering Faculty Publications. 221.
https://ecommons.udayton.edu/ece_fac_pub/221
Included in
Computer Engineering Commons, Electrical and Electronics Commons, Electromagnetics and Photonics Commons, Optics Commons, Other Electrical and Computer Engineering Commons, Systems and Communications Commons
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