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

D.A. MÁRTIN; M. HOYUELOS

Piriapolis, Uruguay

Workshop; Fourth Rio de la Plata Workshop on laser dynamics and nonlinear photonics; 2009

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 Schr¨odinger equations for the electric and magnetic field amplitudes.