Synchronization of Josephson oscillations in mesa array of BSCCO single crystal through the Josephson plasma waves in base crystal

TL;DR

This paper investigates how Josephson oscillations in a mesa array of BSCCO single crystal can be synchronized through plasma waves in the base crystal, aiming to enhance terahertz radiation power.

Contribution

It provides a detailed analysis of plasma oscillations and numerical solutions to identify conditions for synchronization in mesa arrays via plasma waves.

Findings

Synchronization occurs when cavity resonances match.

Optimal mesa array configurations are identified.

Conditions for stable synchronized states are determined.

Abstract

Using mesa array of $\rm{Bi_{2}Sr_{2}CaCu_{2}O_{8}}$ single crystal was demonstrated recently as a promising route to enhance the radiation power generated by 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 superconducting phase numerically to find conditions for synchronization and to check the stability of synchronized state. We find that mesas are synchronized when the cavity resonance of mesas matches with that of the base crystal. An optimal configuration of mesa arrays is also obtained.