Eur. Phys. J. D 58, 257-262 (2010)
https://doi.org/10.1140/epjd/e2010-00081-0

Non-linear states of a positive or negative refraction index material in a cavity with feedback

Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar del Plata and Instituto de Investigaciones Físicas de Mar del Plata (Consejo Nacional de Investigaciones Científicas y Técnicas), Funes 3350, 7600 Mar del Plata, Argentina

Corresponding author: hoyuelos@mdp.edu.ar

Received: 22 December 2009
Revised: 4 March 2010
Published online: 30 March 2010

Abstract

We study a system composed by a cavity with plane mirrors containing a positive or negative refraction index material with third order effective electric and magnetic non-linearities. The aim of the work is to present a general picture of possible non-linear states in terms of the relevant parameters of the system. The parameters are the ones that appear in a reduced description that has the form of the Lugiato-Lefever equation. This equation is obtained from two coupled non-linear Schrödinger equations for the electric and magnetic field amplitudes.