title: Nonlinear propagation of electromagnetic waves in negative-refraction-index composite materials.
abstract: We investigate the nonlinear propagation of electromagnetic waves in left-handed materials. For this purpose, we consider a set of coupled nonlinear Schrödinger (CNLS) equations, which govern the dynamics of coupled electric and magnetic field envelopes. The CNLS equations are used to obtain a nonlinear dispersion, which depicts the modulational stability profile of the coupled plane-wave solutions in left-handed materials. An exact (in)stability criterion for modulational interactions is derived, and analytical expressions for the instability growth rate are obtained.
authors.affiliation: Institut für Theoretische Physik IV, Fakultät für Physik und Astronomie, Ruhr-Universität Bochum, D-44780 Bochum, Germany. ioannis@tp4.rub.de
authors.forename: I
authors.initials: I
authors.lastname: Kourakis
authors.forename: P K
authors.initials: PK
authors.lastname: Shukla