High-frequency homogenization for periodic dispersive media

Marie Touboul, Benjamin Vial, Raphael Assier, Sebastien Guenneau, Richard Craster

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Abstract

High-frequency homogenization is used to study dispersive media, containing inclusions placed periodically, for which the properties of the material depend on the frequency (Lorentz or Drude model with damping, for example). Effective properties are obtained near a given point of the dispersion diagram in frequency-wavenumber space. The asymptotic approximations of the dispersion diagrams, and the wavefields, so obtained are then cross-validated via detailed comparison with finite element method simulations in both one and two dimensions.
Original languageEnglish
JournalMultiscale Modeling and Simulation
Volume22
Issue number3
DOIs
Publication statusPublished - 15 Sept 2024

Keywords

  • dispersive media
  • absorption
  • Lorentz and Drude models
  • physics.optics
  • high-frequency homogenization
  • periodic media
  • asymptotic methods

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