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It is well known that the strongly deformed microcavity with fully chaoticray dynamics cannot support high-Q modes due to its fast chaotic diffusion tothe critical line of refractive emission. Here, we investigate how the Q factoris modified when two chaotic cavities are coupled, and show that some modes,whose Q factor is about 10 times higher than that of the corresponding singlecavity, can exist. These abnormal high-Q modes are the result of an optimalcombination of coupling and cavity geometry. As an example, in the coupledstadium-shaped microcavities, the mode pattern extends over both cavities suchthat it follows a whispering-gallery-type mode at both ends, whereas a bigcoupling spot forms at the closest contact of the two microcavities. Thepattern of such a 'rounded bow tie' mode allows the mode to have a high-Qfactor. This mode pattern minimizes the leakage of light at both ends of themicrocavities as the pattern at both ends is similar to whispering gallerymode.

Abnormal high-$Q$ modes of coupled stadium-shaped microcavities