Josephson vortex Cherenkov radiation

TL;DR

This paper predicts Cherenkov radiation emitted by Josephson vortices in a long 1D Josephson junction, deriving formulas for radiated power, radiation friction, and vortex velocity-current relations using nonlocal electrodynamics.

Contribution

It introduces a theoretical framework for Josephson vortex Cherenkov radiation, including explicit expressions for radiation power and vortex dynamics.

Findings

Derived the expression for radiated power.

Calculated the radiation friction force on a vortex.

Established the relation between bias current density and vortex velocity.

Abstract

We predict the Josephson vortex Cherenkov radiation of an electromagnetic wave. We treat a long one--dimensional Josephson junction. We consider the wave length of the radiated electromagnetic wave to be much less than the Josephson penetration depth. We use for calculations the nonlocal Josephson electrodynamics. We find the expression for the radiated power and for the radiation friction force acting on a Josephson vortex and arising due to the Cherenkov radiation. We calculate the relation between the density of the bias current and the Josephson vortex velocity.