Whispering gallery modes inside the asymmetric resonant cavities

Two dimensional resonators with a smooth strictly convex boundary are known to possess a whispering gallery region supporting modes concentrated near the boundary. A new class of asymmetric resonant cavities is introduced, where the region analogous to the whispering gallery region is found deep inside the resonator. The construction of such resonators is a novel application of the geometric control methods originating from non-holonomic mechanics. The results of numberial simulations and experiments are presented.