High-frequency homogenization for periodic dispersive media
Classical Physics
2023-08-21 v1 Mathematical Physics
math.MP
Optics
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.
Cite
@article{arxiv.2308.08559,
title = {High-frequency homogenization for periodic dispersive media},
author = {Marie Touboul and Benjamin Vial and Raphaël Assier and Sébastien Guenneau and Richard Craster},
journal= {arXiv preprint arXiv:2308.08559},
year = {2023}
}