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Discrete dissipative localized modes in nonlinear magnetic metamaterials
Nikolay N Rosanov1, Nina V Vysotina, Anatoly N Shatsev
1National Research University of Information Technologies, Mechanics and Optics (ITMO), St. Petersburg, Russia.
Optics Express
|January 26, 2012
Summary
This study explores localized modes in nonlinear lattices of split-ring resonators (SRRs). Electric coupling significantly impacts interactions, and domain walls exhibit bistable velocity dependence on external fields.
Area of Science:
- Nonlinear physics
- Condensed matter physics
- Electromagnetism
Background:
- Nonlinear lattices composed of split-ring resonators (SRRs) are key components in advanced electromagnetic devices.
- Understanding localized modes and their propagation is crucial for controlling energy flow in these systems.
Purpose of the Study:
- To analyze the existence, stability, and propagation of dissipative discrete localized modes in 1D and 2D nonlinear SRR lattices.
- To investigate the role of electric coupling and nonlinear magnetic domain walls.
- To study the behavior of 2D localized modes and their stability.
Main Methods:
- Near-field interaction approach for quasi-static electric and magnetic interactions.
- Derivation of an effective nonlinear model.
- Analysis of nonlinear localized modes, including magnetic domain walls (switching waves).
Main Results:
- Electric coupling critically influences resonator interactions, potentially reversing interaction signs.
- Nonlinear magnetic domain walls show bistable velocity dependence on the external field.
- Larger 2D domains in SRR lattices can become unstable and split.
Conclusions:
- Dissipative discrete localized modes can be controlled and understood in nonlinear SRR lattices.
- The findings are relevant for designing novel nonlinear electromagnetic devices and understanding wave propagation phenomena.
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