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Article
Linear and Nonlinear Propagation in 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
11-1-2006
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.

Publisher
Optical Society of America
Peer Reviewed
Yes
Citation Information
Partha P. Banerjee and George Nehmetallah. "Linear and Nonlinear Propagation in Negative Index Materials" Journal of the Optical Society of America B Vol. 23 Iss. 11 (2006)
Available at: http://works.bepress.com/partha_banerjee/67/