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math.AP2024
Propagation and non-reciprocity in time-modulated diffusion through the lens of high-order homogenization
Marie Touboul, Bruno Lombard, Raphaël Assier +2
The homogenization procedure developed here is conducted on a laminate with periodic space-time modulation on the fine scale: at leading order, this modulation creates convection i…
math.AP2024
A note on double Floquet-Bloch transforms and the far-field asymptotics of Green's functions tailored to periodic structures
Andrey V. Shanin, Raphael C. Assier, Andrey I. Korolkov +1
We propose a general procedure to study double integrals arising when considering wave propagation in periodic structures. This method, based on a complex deformation of the integr…