Spatial and Spatiotemporal Solitary Waves and their Stabilization in Nonlinear Negative Index MaterialsJournal of the Optical Society of America B
AbstractStarting from a simple dispersion relation for negative index materials and a heuristic nonlinear Klein–Gordon-type extension, we derive the evolution equations for the envelopes of beams and spatiotemporal pulses in nonlinear dispersive negative index media. Using existing numerical methods, based on fast Fourier–Bessel transforms, we study the stability of the solitary wave solutions. Nonlinearity and dispersion management are then incorporated to find stable solutions of the underlying partial differential equations.
CopyrightCopyright © 2007, Optical Society of America
PublisherOptical Society of America
Citation InformationPartha P. Banerjee and George Nehmetallah. "Spatial and Spatiotemporal Solitary Waves and their Stabilization in Nonlinear Negative Index Materials" Journal of the Optical Society of America B Vol. 24 Iss. 10 (2007)
Available at: http://works.bepress.com/partha_banerjee/110/