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Knotted solitons in nonlinear magnetic metamaterials

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Date

2012

Authors

Rosanov, Nikolay N.
Vysotina, Nina V
Shatsev, Anatoly N
Desyatnikov, Anton S
Kivshar, Yuri

Journal Title

Journal ISSN

Volume Title

Publisher

American Physical Society

Abstract

We demonstrate that nonlinear magnetic metamaterials comprised of a lattice of weakly coupled split-ring resonators driven by an external electromagnetic field may support entirely new classes of spatially localized modes-knotted solitons, which are stable self-localized dissipative structures in the form of closed knotted chains. We demonstrate different topological types of stable knots for the subcritical coupling between resonators and instability-induced breaking of the chains for the supercritical coupling.

Description

Keywords

Keywords: Dissipative structure; External electromagnetic field; Magnetic metamaterials; Split-ring resonator; Super-critical; Metamaterials; Solitons

Citation

URI

http://hdl.handle.net/1885/67768

Collections

ANU Research Publications

Source

Physical Review Letters

Type

Journal article

Book Title

Entity type

Access Statement

Open Access

License Rights

DOI

10.1103/PhysRevLett.108.133902

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01_Rosanov_Knotted_solitons_in_nonlinear_2012.pdf (2.73 MB)

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