Description of self-synchronization effects in distributed Josephson junction arrays using harmonic analysis and power balance

TL;DR

This paper investigates self-synchronization in Josephson junction arrays using harmonic analysis and power balance, explaining their large operational margins and validating the model through experiments and simulations.

Contribution

It introduces a simplified harmonic and power balance model for Josephson junction arrays, explaining synchronization effects and operational margins.

Findings

Model explains large operation margins of SNS- and SINIS-junction arrays.

Validation through experiments and simulations confirms the model's accuracy.

Harmonic analysis provides insights into power distribution and synchronization.

Abstract

Power generation and synchronisation in Josephson junction arrays have attracted attention for a long time. This stems from fundamental interest in nonlinear coupled systems as well as from potential in practical applications. In this paper we study the case of an array of junctions coupled to a distributed transmission line either driven by an external microwave or in a self-oscillating mode. We simplify the theoretical treatment in terms of harmonic analysis and power balance. We apply the model to explain the large operation margins of SNS- and SINIS-junction arrays. We show the validity of the approach by comparing with experiments and simulations with self-oscillating es-SIS junction arrays.