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The dynamics of superconductivity phase in thick stack of Josephson junctionswith strong inductive coupling, such as the one realized in layered high-$T_c$cuprates and possibly the recently discovered FeAs-based superconductors, isinvestigated under a c-axis bias voltage and in the absence of an externalmagnetic field. The kink state found previously by the present authors isextended to three dimensions for both rectangular and cylindrical geometries.The IV characteristics are calculated and the distributions of electromagneticfield inside the samples are clarified. The solution for a cylindrical mesaexhibits a higher resonating frequency than that of a square mesa with the samelinear size by a factor of $\sim 2.4$. More importantly, from the radiusdependence of the resonance frequency for the cylinder geometry it is possibleto confirm directly the kink state, and thus to reveal the mechanism of thestrong radiation discovered in recent experiments.

Three-Dimensional Phase-Kink State in Thick Stack of Josephson Junctions and Terahertz Radiation