Discontinuous Galerkin Time-Domain method for nanophotonics

S Lanteri (1) , Claire Scheid (1, 2) , J Viquerat (1)

1 NACHOS - Numerical modeling and high performance computing for evolution problems in complex domains and heterogeneous media
2 LJAD - Laboratoire Jean Alexandre Dieudonné

The numerical study of electromagnetic wave propagation in nanophotonic devices requires among others the integration of various types of dispersion models , such as the Drude one, in numerical methodologies. Appropriate approaches have been extensively developed in the context of the Finite Differences Time-Domain (FDTD) method, such as in [1] for example. For the discontinuous Galerkin time-domain (DGTD), stability and convergence studies have been recently realized for some dispersion models, such as the Debye model [2]. The present study focuses on a DGTD formulation for the solution of Maxwell's equations coupled to (i) a Drude model and (ii) a generalized dispersive model. Stability and convergence have been proved in case (i), and are under study in case (ii). Numerical experiments have been made on classical situations, such as (i) plane wave diffraction by a gold sphere and (ii) plane wave reflection by a silver slab.

Domaines: Modélisation et simulation

S Lanteri, Claire Scheid, J Viquerat. Discontinuous Galerkin Time-Domain method for nanophotonics. International conference on mathematical and numerical aspects of waves, Jun 2013, Tunis, Tunisia. ⟨hal-01403882⟩