Spatial and Spatiotemporal Solitary Waves and their Stabilization in Nonlinear Negative Index Materials

Author(s)

Partha P. Banerjee, University of DaytonFollow
George Nehmetallah, The Catholic University of America

Document Type

Article

Publication Date

10-2007

Publication Source

Journal of the Optical Society of America B

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.

Copyright

Copyright © 2007, Optical Society of America

Publisher

Optical Society of America

Volume

24

Peer Reviewed

yes

Issue

10

eCommons Citation

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.
https://ecommons.udayton.edu/ece_fac_pub/247