Numerical Modeling of Spatio-Temporal Solitons Using an Adaptive Spherical Fourier Bessel Split-Step MethodOptics Communications
AbstractWe 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.
CopyrightCopyright © 2005, Elsevier
Citation InformationGeorge 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/