Cavity equations for a positive or negative refraction index material with electric and magnetic non-linearities
arXiv:1212.3974 · doi:10.1103/PhysRevE.80.056601
Abstract
We study evolution equations for electric and magnetic field amplitudes in a ring cavity with plane mirrors. The cavity is filled with a positive or negative refraction index material with third order effective electric and magnetic non-linearities. Two coupled non-linear equations for the electric and magnetic amplitudes are obtained. We prove that the description can be reduced to one Lugiato Lefever equation with generalized coefficients. A stability analysis of the homogeneous solution, complemented with numerical integration, shows that any combination of the parameters should correspond to one of three characteristic behaviors.
14 pages 7 figures; http://pre.aps.org/abstract/PRE/v80/i5/e056601