Intrinsic localization in nonlinear and superconducting metamaterials

N. Lazarides, G. P. Tsironis

Research output: Chapter in Book/Report/Conference proceedingConference contribution

10 Citations (Scopus)

Abstract

An array of rf SQUIDs (Superconducting Quantum Interference Devices) in an alternating magnetic field can operate as a magnetic metamaterial where the phase and group velocities have opposite signs. In this system, discreteness and nonlinearity may lead to the generation of intrinsic localized modes in the from of discrete breathers. These breathers result from a balance of incoming power and losses, and they may change locally the response of a SQUID array to an applied field from diamagnetic to paramagnetic or vice-versa. We derive the dynamic flux equations for the damped and driven SQUID array and integrate them in the weak-coupling approximation to demonstrate the existence of various kinds of dissipative breathers. Besides using standard algorithms for breather construction, we have also observed the spontaneous breather generation in weakly disordered SQUID arrays. Moreover, low-energy breather-like pulses may be generated in end-driven arrays which propagate for fairly long distances in a dissipative environment. A short account on the tunability of the resonance of individual SQUIDs by application of either constant and/or alternating fields is also given.

Original languageEnglish
Title of host publicationMetamaterials VII
DOIs
Publication statusPublished - Jul 11 2012
EventMetamaterials VII - Brussels, Belgium
Duration: Apr 16 2012Apr 19 2012

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume8423
ISSN (Print)0277-786X

Other

OtherMetamaterials VII
CountryBelgium
CityBrussels
Period4/16/124/19/12

Keywords

  • Magnetic metamaterials
  • nonlinear metamaterials
  • superconducting metamaterials

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering

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