Nonlinear response of a thin metamaterial film containing Josephson junctions

Andrei I. Maimistov; Ildar R. Gabitov

doi:10.1016/j.optcom.2009.10.021

Nonlinear response of a thin metamaterial film containing Josephson junctions

Andrei I. Maimistov, Ildar R. Gabitov

Research output: Contribution to journal › Article › peer-review

30 Scopus citations

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.

Original language	English (US)
Pages (from-to)	1633-1639
Number of pages	7
Journal	Optics Communications
Volume	283
Issue number	8
DOIs	https://doi.org/10.1016/j.optcom.2009.10.021
State	Published - Apr 15 2010

Keywords

Josephson junction
Metamaterial
Self-inductance
Split-ring resonator
Thin film

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Atomic and Molecular Physics, and Optics
Physical and Theoretical Chemistry
Electrical and Electronic Engineering

Access to Document

10.1016/j.optcom.2009.10.021

Cite this

@article{8fb3898b28fb4d61aeb7c0156a78ee58,

title = "Nonlinear response of a thin metamaterial film containing Josephson junctions",

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.",

keywords = "Josephson junction, Metamaterial, Self-inductance, Split-ring resonator, Thin film",

author = "Maimistov, {Andrei I.} and Gabitov, {Ildar R.}",

note = "Funding Information: We would like to thank Alexey V. Ustinov for enlightening discussions and Matthew F. Pennybacker for valuable help during preparation of this paper. A.I.M. appreciates support and hospitality of the University of Arizona Department of Mathematics during his work on this manuscript. This work was partially supported by NSF (Grant DMS-0509589 ), ARO-MURI award 50342-PH-MUR and State of Arizona (Proposition 301), RFBR (Grant No. 09-02-00701-a ). ",

year = "2010",

month = apr,

day = "15",

doi = "10.1016/j.optcom.2009.10.021",

language = "English (US)",

volume = "283",

pages = "1633--1639",

journal = "Optics Communications",

issn = "0030-4018",

publisher = "Elsevier B.V.",

number = "8",

}

TY - JOUR

T1 - Nonlinear response of a thin metamaterial film containing Josephson junctions

AU - Maimistov, Andrei I.

AU - Gabitov, Ildar R.

N1 - Funding Information: We would like to thank Alexey V. Ustinov for enlightening discussions and Matthew F. Pennybacker for valuable help during preparation of this paper. A.I.M. appreciates support and hospitality of the University of Arizona Department of Mathematics during his work on this manuscript. This work was partially supported by NSF (Grant DMS-0509589 ), ARO-MURI award 50342-PH-MUR and State of Arizona (Proposition 301), RFBR (Grant No. 09-02-00701-a ).

PY - 2010/4/15

Y1 - 2010/4/15

N2 - 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.

AB - 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.

KW - Josephson junction

KW - Metamaterial

KW - Self-inductance

KW - Split-ring resonator

KW - Thin film

UR - http://www.scopus.com/inward/record.url?scp=76749144552&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=76749144552&partnerID=8YFLogxK

U2 - 10.1016/j.optcom.2009.10.021

DO - 10.1016/j.optcom.2009.10.021

M3 - Article

AN - SCOPUS:76749144552

SN - 0030-4018

VL - 283

SP - 1633

EP - 1639

JO - Optics Communications

JF - Optics Communications

IS - 8

ER -

Nonlinear response of a thin metamaterial film containing Josephson junctions

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this