Light-induced degeneracy of resonance modes in a nonlinear microcavity coupled with waveguides: application to channel drop filter

Abstract

We consider a microcavity with degenerate dipole or hexapole eigenmodes. If the cavity is positioned between waveguides, degeneracy is lifted. However, we show that in a nonlinear microcavity the degeneracy is recovered at certain injected power. In application we consider a two-dimensional photonic crystal of GaAs rods holding two parallel waveguides and one defect made of Kerr media. We show that 100% efficiency channel dropping can be attained without a necessity to tune the resonant frequencies of the microcavity.