Share Email Print

Proceedings Paper

An adaptive Fourier Bessel split-step method and variational techniques applied to nonlinear propagation in negative index materials
Format Member Price Non-Member Price
PDF $17.00 $21.00

Paper Abstract

Starting from a simple dispersion relation that models negative index materials, we derive and develop the underlying partial differential equation for wave propagation in such a medium. In the first part we study the linear characteristics of wave and beam propagation in NIMs. In the second part we heuristically perform a nonlinear extension of the linear partial differential equation by adding cubic nonlinear terms as in the nonlinear Klein Gordon equation, and (d+1+1)- dimensional envelope solitary wave solutions are derived. Also, using variational techniques and an adaptive Fourier Bessel split-step numerical method, we show that nonlinearity management through a periodic variation of the nonlinearity coefficient helps in stabilization of spatial solitons.

Paper Details

Date Published: 27 September 2006
PDF: 7 pages
Proc. SPIE 6320, Complex Photonic Media, 63200E (27 September 2006); doi: 10.1117/12.675638
Show Author Affiliations
P. P. Banerjee, Univ. of Dayton (United States)
G. Nehmetallah, Univ. of Dayton (United States)

Published in SPIE Proceedings Vol. 6320:
Complex Photonic Media
Graeme Dewar; Martin W. McCall; Mikhail A. Noginov; Nikolay I. Zheludev, Editor(s)

© SPIE. Terms of Use
Back to Top