Nonlinear response of a thin metamaterial film containing Josephson junctions

TL;DR

This paper investigates the nonlinear electromagnetic response of a thin metamaterial film with Josephson junctions, revealing a new wave excitation mechanism and analyzing the effects of self-inductance on magnetization.

Contribution

It introduces a novel mechanism for wave excitation in Josephson junction-based metamaterials and analyzes the nonlinear magnetic susceptibility considering dynamical self-inductance.

Findings

Dynamical self-inductance reduces magnetic flux in split rings.

A new wave excitation mechanism in Josephson junction metamaterials is proposed.

Nonlinear magnetic susceptibility is characterized in the weak amplitude regime.

Abstract

An interaction of electromagnetic field with metamaterial thin film containing split-ring resonators with Josephson junctions is considered. It is shown that dynamical self-inductance in a split rings results in reduction of magnetic flux through a ring and this reduction is proportional to a time derivative of split ring magnetization. Evolution of thin film magnetization taking into account dynamical self-inductance is studied. New mechanism for excitation of waves in one dimensional array of split-ring resonators with Josephson junctions is proposed. Nonlinear magnetic susceptibility of such thin films is obtained in the weak amplitude approximation.