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Article
Numerical Modeling of Spatio-Temporal Solitons Using an Adaptive Spherical Fourier Bessel Split-Step Method
Optics Communications
  • George Nehmetallah, The Catholic University of America
  • Partha P. Banerjee, University of Dayton
Document Type
Article
Publication Date
1-1-2006
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.

Publisher
Elsevier
Peer Reviewed
Yes
Citation Information
George Nehmetallah and Partha P. Banerjee. "Numerical Modeling of Spatio-Temporal Solitons Using an Adaptive Spherical Fourier Bessel Split-Step Method" Optics Communications Vol. 257 Iss. 1 (2006)
Available at: http://works.bepress.com/partha_banerjee/82/