Numerical Modeling of (�+1) -Dimensional Solitons in a Sign-Alternating Nonlinear Medium with an Adaptive Fast Hankel Split-Step MethodJournal of the Optical Society of America B
AbstractWe 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.
CopyrightCopyright © 2005, Optical Society of America
PublisherOptical Society of America
Citation InformationGeorge Nehmetallah and Partha P. Banerjee. "Numerical Modeling of (�+1) -Dimensional Solitons in a Sign-Alternating Nonlinear Medium with an Adaptive Fast Hankel Split-Step Method" Journal of the Optical Society of America B Vol. 22 Iss. 10 (2005)
Available at: http://works.bepress.com/partha_banerjee/79/