Spatial and Spatiotemporal Solitary Waves and their Stabilization in Nonlinear Negative Index Materials
Journal of the Optical Society of America B
Starting 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.
Copyright © 2007, Optical Society of America
Optical Society of America
Banerjee, Partha P. and Nehmetallah, George, "Spatial and Spatiotemporal Solitary Waves and their Stabilization in Nonlinear Negative Index Materials" (2007). Electrical and Computer Engineering Faculty Publications. 247.