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