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A dynamical cross-over regime is revealed when exposing a classicaltwo-dimensional ordered Josephson junction (JJ) array to evanescent waves andtuning the incident microwave power. At the lowest possible temperature forthese experiments, 1.1 K, and at the lowest power setting, -55 dBm, evanescentwaves are transmitted without loss and the resonance exhibits a quality factorof ~ 4200. A second, smaller resonance, which evolves with increasing powerfrom the main resonance, is also investigated. In contrast to the behavior ofthe main resonance, this second peak grows as the incident power is increasedand does not maintain a fixed resonant frequency for temperatures less than thesuperconducting critical temperature of niobium. The tunability of bothresonances is studied as a function of temperature and microwave power. Finallywe speculate that this dynamical crossover regime is evidence of a transitionbetween two states of phase coherence where at low microwave power the JJarrays are phase locked and at high microwave power the JJ arrays are unlocked.

A Dynamical Cross-over Regime in the Transmission and Reflection Spectra of Evanescent Waves with 2D Arrays of Josephson Junctions