We numerically investigate the coupling between circular resonators and study strong light-matter coupling of single as well as multiple circular resonators to quantum-mechanical resonators in two dimensional model simulations. For all cases, the computed resonances of the coupled system as function of the detuning show anti-crossings.
The obtained mode splittings of coupled optical resonators are strongly depending on distance and cluster in almost degenerate eigenstates for large distances, as is known from coupled resonator optical waveguides. Vacuum Rabi splitting is observed for a quantum dot strongly coupled to eigenmodes of single perfectly cylindrical resonators. (© 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)