Analysis of a Generalized Dispersive Model Coupled to a DGTD Method with Application to Nanophotonics

DOI10.1137/15M105207XzbMath1368.78140MaRDI QIDQ5738179

Claire Scheid, Jonathan Viquerat, Stéphane Lanteri

Publication date: 31 May 2017

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

Maxwell's equationsdispersive mediaRunge-Kutta schemesdiscontinuous Galerkinnanophotonics

Mathematics Subject Classification ID

Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Lasers, masers, optical bistability, nonlinear optics (78A60) Waves and radiation in optics and electromagnetic theory (78A40)

Related Items (7)

Simulation of the interaction of light with <scp>3‐D</scp> metallic nanostructures using a proper orthogonal decomposition‐Galerkin reduced‐order discontinuous Galerkin time‐domain method ⋮ Stability and asymptotic properties of a linearized hydrodynamic medium model for dispersive media in nanophotonics ⋮ A reduced-order DG formulation based on POD method for the time-domain Maxwell's equations in dispersive media ⋮ POD-based model order reduction with an adaptive snapshot selection for a discontinuous Galerkin approximation of the time-domain Maxwell's equations ⋮ Simulating 3D periodic structures at oblique incidences with discontinuous Galerkin time-domain methods: theoretical and practical considerations ⋮ Limiting amplitude principle and resonances in plasmonic structures with corners: numerical investigation ⋮ Simulation of three-dimensional nanoscale light interaction with spatially dispersive metals using a high order curvilinear DGTD method

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