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Surface magnetoinductive breathers in two-dimensional magnetic metamaterials
Maria Eleftheriou1, Nikos Lazarides, George P Tsironis
1Department of Materials Science and Technology, University of Crete, Heraklion, Crete 71003, Greece.
Summary
We investigated discrete surface breathers in 2D lattices, finding they possess lower energy and enhanced stability compared to bulk breathers in Hamiltonian systems.
Area of Science:
- Nonlinear physics
- Condensed matter physics
- Electromagnetism
Background:
- Discrete breathers are localized, time-periodic nonlinear excitations.
- Inductively coupled split-ring resonators exhibit nonlinear behavior due to capacitive nonlinearity.
- Surface modes in lattices are of interest for their unique properties.
Purpose of the Study:
- To investigate discrete surface breathers in 2D lattices of nonlinear resonators.
- To analyze the properties of breathers localized at the edges and corners of the lattice.
- To compare the energy and stability of surface breathers with bulk breathers.
Main Methods:
- Theoretical analysis of discrete nonlinear lattices.
- Numerical simulations of inductively coupled split-ring resonator arrays.
- Characterization of spatial localization and temporal periodicity of discrete breathers.
Main Results:
- Discrete surface breathers were identified in the 2D lattice.
- These surface breathers exhibit lower energy than bulk breathers.
- Surface breathers demonstrated generally higher stability in Hamiltonian systems.
Conclusions:
- Surface breathers represent a distinct class of nonlinear localized modes.
- Their reduced energy and enhanced stability have implications for energy localization and transport.
- The findings contribute to the understanding of nonlinear phenomena in structured electromagnetic systems.
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