Pré-Publication, Document De Travail Année : 2025

Scattering of transient waves by an interface with time-modulated jump conditions

Résumé

Time modulation of the physical parameters offers new possibilities for wave control. Examples include amplification of waves, harmonic generation and non-reciprocity, without resorting to non-linear mechanisms. Most of the recent studies on the matter focus on the the timemodulation of the physical properties of a given media, that is, a time-modulation 'in volume'. Here, we focus instead on time modulation at some lower-dimensional space by considering timevarying jump conditions across some interface. The latter offers simpler solutions for practical implementation. This work is focused on wave propagation in a 1D medium containing one modulated interface. Many properties of the scattered waves are investigated theoretically: energy balance, generation of harmonics, impedance matching and non-reciprocity. A fourthorder numerical method is also developed to simulate such transient scattering. Numerical experiments are conducted to validate both the theoretical findings and the numerical scheme.

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Dates et versions

hal-05010311 , version 1 (28-03-2025)
hal-05010311 , version 2 (28-03-2025)
hal-05010311 , version 3 (11-07-2025)

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  • HAL Id : hal-05010311 , version 1

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Darche Michaël, Raphaël Assier, S Guenneau, Bruno Lombard, Marie Touboul. Scattering of transient waves by an interface with time-modulated jump conditions. 2025. ⟨hal-05010311v1⟩
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