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 a whispering gallery-like region is found deep inside the resonator. The construction of such resonators is a novel application of the geometric control methods. The results of numerical simulations and experiments are presented.
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Baryshnikov et al. (2004) studied this question.
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