High-order homogenization of the time-modulated wave equation: non-reciprocity for a single varying parameter

M Touboul, B Lombard, RC Assier… - … of the Royal …, 2024 - royalsocietypublishing.org
Laminated media with material properties modulated in space and time in the form of
travelling waves have long been known to exhibit non-reciprocity. However, when using the …

[HTML][HTML] Effective surface forces and non-coherent interfaces within the reduced relaxed micromorphic modeling of finite-size mechanical metamaterials

LAP Ramirez, F Erel-Demore, G Rizzi, J Voss… - Journal of the …, 2024 - Elsevier
This paper introduces for the first time the concepts of non-coherent interfaces and
microstructure-driven interface forces in the framework of micromorphic elasticity. It is shown …

Double upscaling procedure for the Sine–Gordon equation with highly-oscillating coefficients: Homogenization and modulation equations

S Gavrilyuk, B Lombard - Wave Motion, 2024 - Elsevier
We study the sine-Gordon equation with h-periodic in space coefficients. Leading-order
homogenization yields an effective sine-Gordon equation for which traveling wave periodic …

Magneto-electric coupling and magnetism in photonic crystals: A high-order homogenization approach in the constitutive equations

B Gralak, Y Liu, S Guenneau - arXiv preprint arXiv:2211.05735, 2022 - arxiv.org
We extend results of [Liu et al. Proc. Roy. Soc. Lond. A 469, 20130240, 2013] on artificial
magneto-electric coupling and magnetism in moderate contrast dielectric layered media via …

[PDF][PDF] Homogenisation for waves in 1D periodic media: Effective models, boundary and transmission correctors

R Cornaggia - 2023 - hal.science
Homogenisation for waves in 1D periodic media: Effective models, boundary and transmission
correctors Page 1 HAL Id: hal-04186509 https://hal.science/hal-04186509 Submitted on 23 …