Cavity equations for a positive- or negative-refraction-index material with electric and magnetic nonlinearities
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 nonlinearities. Two coupled nonlinear 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.
- Publication:
-
Physical Review E
- Pub Date:
- November 2009
- DOI:
- 10.1103/PhysRevE.80.056601
- arXiv:
- arXiv:1212.3974
- Bibcode:
- 2009PhRvE..80e6601M
- Keywords:
-
- 05.45.-a;
- 42.65.Sf;
- Nonlinear dynamics and chaos;
- Dynamics of nonlinear optical systems;
- optical instabilities optical chaos and complexity and optical spatio-temporal dynamics;
- Physics - Optics;
- Nonlinear Sciences - Pattern Formation and Solitons
- E-Print:
- 14 pages 7 figures