Numerical Modeling of (�+1) -Dimensional Solitons in a Sign-Alternating Nonlinear Medium with an Adaptive Fast Hankel Split-Step Method
Document Type
Article
Publication Date
10-2005
Publication Source
Journal of the Optical Society of America B
Abstract
We present a novel technique to numerically solve transverse and pulsed optical beam or light bullet propagation in a layered alternating self-focusing and self-defocusing medium based on the scalar nonlinear Schrödinger equation in two and three dimensions with cylindrical and spherical symmetry, respectively. Using fast algorithms for Hankel transform along with adaptive longitudinal stepping and transverse grid management in a symmetrized split-step technique, it is possible to accurately study many nonlinear effects, including the possibility of spatiotemporal collapse, or the collapse-arresting mechanism due to a sign-alternating nonlinearity coefficient. Also, by using the variational approximation technique, we can prove that stable (�+1)-dimensional soliton beams and optical bullets exist in these media.
Inclusive pages
2200-2207
ISBN/ISSN
0030-3941
Copyright
Copyright © 2005, Optical Society of America
Publisher
Optical Society of America
Volume
22
Peer Reviewed
yes
Issue
10
eCommons Citation
Nehmetallah, George and Banerjee, Partha P., "Numerical Modeling of (�+1) -Dimensional Solitons in a Sign-Alternating Nonlinear Medium with an Adaptive Fast Hankel Split-Step Method" (2005). Electrical and Computer Engineering Faculty Publications. 257.
https://ecommons.udayton.edu/ece_fac_pub/257
COinS
Comments
Permission documentation is on file.