3 papers
math-ph2026
Waves within a network of slowly time-modulated interfaces: time-dependent effective properties, reciprocity and high-order dispersion
Michaël Darche, Raphaël Assier, Sébastien Guenneau +2
We consider wave propagation through a 1D periodic network of slowly time-modulated interfaces. Each interface is modelled by time-dependent spring-mass jump conditions, where mass…
math-ph2025
Scattering of transient waves by an interface with time-modulated jump conditions
Michaël Darche, Raphaël Assier, Sébastien Guenneau +2
Time modulation of the physical parameters offers interesting new possibilities for wave control. Examples include amplification of waves, harmonic generation and non-reciprocity,…
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…