Duality between invisibility and resonance with some applications

Date/heure
8 juin 2021
10:45 - 11:45

Oratrice ou orateur
Houssem Haddar (Inria Saclay)

Catégorie d'évènement
Séminaire Équations aux Derivées Partielles et Applications (Nancy)


Résumé

For a given scatterer, is it possible to design an incident wave that produces no scattering? The answer is yes if and only if the wave number coincides with a resonant frequency of an interior problem formulated inside the scatterer. This duality can be reversed and exploited to compute scattering poles. It can also be used to produce an indicator function for crack densities in a fractured media. These issues and related open questions will be the main topic of my talk.