Università degli Studi di Padova

“Stability and asymptotic properties of a linearized hydrodynamic medium model for dispersive media in nanophotonics”

Mercoledì 23 Giugno 2021, ore 17:00 - Zoom - Serge Nicaise (LAMAV, Université Polytechnique Hauts-de-France, Valenciennes, France)


In this talk, we will present a linearized hydrodynamical model describing the response of nanometric dispersive metallic materials illuminated by optical light waves, a situation occurring in nanoplasmonics. The model corresponds to the coupling between the Maxwell system and a PDE describing the evolution of the polarization current of the electrons in the metal. First by using semigroup theory its well posedness will be shown. Then using a frequency approach, polynomial (and optimal) stability results for different boundary conditions will be presented.

This is a join work with Claire Scheid (Université Côte d’Azur, France).

Online Seminar on Mathematical Methods in the Theory of Electromagnetism