Signature of Dynamical Localization in the Resonance Width Distribution of Wave-chaotic Dielectric Cavities

We consider the effect of dynamical localization on the widths of the resonances in open wave-chaotic dielectric cavities. We show that dynamical localization leads to a log-normal distribution of the resonance widths which scales with the localization length in excellent agreement with the results of numerical calculations for open rough microcavities.