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Article Dans Une Revue Computers & Mathematics with Applications Année : 2020

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

Résumé

We analyze the stability of a linearized hydrodynamical model describing the response of nanometric dispersive metallic materials illuminated by optical light waves that is the situation occurring in nanoplasmonics. This 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. We show the well posedness of the system, polynomial stability and optimal energy decay rate. We also investigate the numerical stability for a discontinuous Galerkin type approximation and several explicit time integration schemes..
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Dates et versions

hal-02276569 , version 1 (02-09-2019)

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Serge Nicaise, Claire Scheid. Stability and asymptotic properties of a linearized hydrodynamic medium model for dispersive media in nanophotonics. Computers & Mathematics with Applications, 2020, 79 (12), ⟨10.1016/j.camwa.2020.02.006⟩. ⟨hal-02276569⟩
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