Abstract
We consider a ring resonator with two resonant modes undergoing dynamic modulation. Using the Floquet analysis, we show that with a proper choice of modulation profile, such a resonator can achieve a direction-dependent Rabi splitting of its Floquet eigenstates, which results in direction-dependent dissipation and nonreciprocal transmission for waves. We numerically demonstrate this nonreciprocal effect and show that a realistic refractive index modulation of the ring can result in significant transmission in one direction and near complete dissipation in.
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