Stability and asymptotic properties of a linearized hydrodynamic medium model for dispersive media in nanophotonics
- Speaker: Prof. Dr. Serge Nicaise
- Place: Seminar room 1.067, Building 20.30
- Time: 21.11.2024, 14:00 - 15:00
Abstract
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).