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Article
Spatial and Spatiotemporal Solitary Waves and their Stabilization in Nonlinear Negative Index Materials
Journal of the Optical Society of America B
  • Partha P. Banerjee, University of Dayton
  • George Nehmetallah, The Catholic University of America
Document Type
Article
Publication Date
10-1-2007
Abstract
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.
Inclusive pages
A69-A76
ISBN/ISSN
0030-3941
Comments

Permission documentation is on file.

Publisher
Optical Society of America
Peer Reviewed
Yes
Citation Information
Partha 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/