Linear and Nonlinear Propagation in Negative Index Materials

Author(s)

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

Document Type

Article

Publication Date

11-2006

Publication Source

Journal of the Optical Society of America B

Abstract

We analyze linear propagation in negative index materials by starting from a dispersion relation and by deriving the underlying partial differential equation. Transfer functions for propagation are derived in temporal and spatial frequency domains for unidirectional baseband and modulated pulse propagation, as well as for beam propagation. Gaussian beam propagation is analyzed and reconciled with the ray transfer matrix approach as applied to propagation in negative index materials. Nonlinear extensions of the linear partial differential equation are made by incorporating quadratic and cubic terms, and baseband and envelope solitary wave solutions are determined. The conditions for envelope solitary wave solutions are compared with those for the standard nonlinear Schrodinger equation in a positive index material.

Inclusive pages

2348-2355

ISBN/ISSN

0030-3941

Comments

Permission documentation is on file.

Copyright

Copyright © 2006, Optical Society of America

Publisher

Optical Society of America

Volume

23

Peer Reviewed

yes

Issue

11

eCommons Citation

Banerjee, Partha P. and Nehmetallah, George, "Linear and Nonlinear Propagation in Negative Index Materials" (2006). Electrical and Computer Engineering Faculty Publications. 248.
https://ecommons.udayton.edu/ece_fac_pub/248