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Updated: May 22, 2026

Fabricating Metamaterials Using the Fiber Drawing Method
Published on: October 18, 2012
Knotted solitons in nonlinear magnetic metamaterials
Nikolay N Rosanov1, Nina V Vysotina, Anatoly N Shatsev
1National Research University of Information Technologies, Mechanics, and Optics, St. Petersburg 197101, Russia.
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.
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