周期性分散介质的高频均质化

Multiscale Modeling and Simulation Pub Date : 2024-09-11 DOI:10.1137/23m159648x

Marie Touboul, Benjamin Vial, Raphaël Assier, Sébastien Guenneau, Richard V. Craster

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引用次数: 0

摘要

多尺度建模与仿真》，第 22 卷第 3 期，第 1136-1168 页，2024 年 9 月。摘要高频均质化用于研究包含周期性放置的夹杂物的色散介质，对于这种介质，材料的特性取决于频率（例如，带阻尼的洛伦兹或德鲁德模型）。在频率-波数空间的频散图给定点附近可获得有效特性。然后，通过与一维和二维的有限元法模拟进行详细比较，对频散图的渐近近似值和由此获得的波场进行交叉验证。

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High-Frequency Homogenization for Periodic Dispersive Media

Multiscale Modeling &Simulation, Volume 22, Issue 3, Page 1136-1168, September 2024.
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.

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Multiscale Modeling and Simulation

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