Numerical Modeling of Spatio-Temporal Solitons Using an Adaptive Spherical Fourier Bessel Split-Step Method

Author(s)

George Nehmetallah, The Catholic University of America
Partha P. Banerjee, University of DaytonFollow

Document Type

Article

Publication Date

1-2006

Publication Source

Optics Communications

Abstract

We present a novel technique to numerically solve pulsed optical beam or “light bullet” propagation in bulk nonlinear media based on the scalar nonlinear Schrödinger (NLS) equation in three dimensions with spherical symmetry. Using fast algorithms for spherical Fourier Bessel transforms 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 spatio-temporal collapse, or the collapse-arresting mechanism due to saturable nonlinearity.

Inclusive pages

197–205

ISBN/ISSN

0030-4018

Comments

Permission documentation is on file.

Copyright

Copyright © 2005, Elsevier

Publisher

Elsevier

Volume

257

Peer Reviewed

yes

Issue

1

eCommons Citation

Nehmetallah, George and Banerjee, Partha P., "Numerical Modeling of Spatio-Temporal Solitons Using an Adaptive Spherical Fourier Bessel Split-Step Method" (2006). Electrical and Computer Engineering Faculty Publications. 249.
https://ecommons.udayton.edu/ece_fac_pub/249