Synchronization of Josephson oscillations in a mesa array of Bi2Sr2CaCu2O8+δ through the Josephson plasma waves in the base crystal

Abstract

Using mesa array fabricated at the top of Bi2Sr2CaCu2O8 single crystal was demonstrated recently as a promising route to enhance the radiation power generated by the Josephson oscillations in mesas. We study the synchronization in such an array via the plasma waves in the base crystal. First, we analyze plasma oscillations inside the base crystal generated by the synchronized mesa array and the associated dissipation. We then solve the dynamic equation for the superconducting phase numerically to find conditions for synchronization and to check the stability of the synchronized state. We find that the mesas are synchronized when the cavity resonance of mesas matches with that of the base crystal. An optimal configuration of the mesa arrays is also obtained.