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arXiv · 1212.3974

Cavity equations for a positive or negative refraction index material with electric and magnetic non-linearities

Daniel A. Mártin·Miguel Hoyuelos
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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.

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Daniel A. Mártin, Miguel Hoyuelos. 2012-12-17. Cavity equations for a positive or negative refraction index material with electric and magnetic non-linearities. https://doi.org/10.1103/physreve.80.056601

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