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Magnetostatic Boundary Conditions01:28

Magnetostatic Boundary Conditions

An electric field suffers a discontinuity at a surface charge. Similarly, a magnetic field is discontinuous at a surface current. The perpendicular component of a magnetic field is continuous across the interface of two magnetic mediums. In contrast, its parallel component, perpendicular to the current, is discontinuous by the amount equal to the product of the vacuum permeability and the surface current. Like the scalar potential in electrostatics, the vector potential is also continuous...
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Simulation, Fabrication and Characterization of THz Metamaterial Absorbers
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Bulk and surface magnetoinductive breathers in binary metamaterials.

M I Molina1, N Lazarides, G P Tsironis

  • 1Departamento de Física, Facultad de Ciencias, Universidad de Chile, Santiago, Chile.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 13, 2009
PubMed
Summary
This summary is machine-generated.

This study explores discrete breathers in magnetic metamaterials. Researchers found these localized energy modes can spontaneously emerge in driven systems due to inherent instability.

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Area of Science:

  • Condensed Matter Physics
  • Metamaterials Science
  • Nonlinear Dynamics

Background:

  • Discrete breathers are localized, self-trapped nonlinear modes in periodic systems.
  • Magnetic metamaterials offer unique electromagnetic properties due to their structure.
  • Understanding breather formation is crucial for controlling energy localization in such systems.

Purpose of the Study:

  • To theoretically investigate the existence of bulk and surface discrete breathers.
  • To explore breather formation in a one-dimensional magnetic metamaterial.
  • To analyze spontaneous breather appearance in dissipative-driven systems.

Main Methods:

  • Theoretical investigation using the rotating-wave approximation.
  • Construction of breather excitations for both energy-conserving and dissipative-driven cases.
  • Numerical verification using exact computations.

Main Results:

  • Demonstrated the existence of both bulk and surface discrete breathers.
  • Identified conditions for spontaneous breather formation in dissipative-driven systems.
  • Confirmed theoretical predictions through numerical simulations.

Conclusions:

  • Discrete breathers can exist in one-dimensional magnetic metamaterials composed of split-ring resonators.
  • Spontaneous breather generation is possible in dissipative-driven systems due to fundamental instabilities.
  • Findings contribute to the understanding of nonlinear phenomena in engineered magnetic materials.