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UID:4892@test.i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20171017T110000
DTEND;TZID=Europe/Paris:20171017T120000
DTSTAMP:20171002T090000Z
URL:https://test.i2m.univ-amu.fr/events/discontinuous-galerkin-methods-for
-the-numerical-modeling-of-nanoscale-light-matter-interactions/
SUMMARY:Discontinuous Galerkin methods for the numerical modeling of nanos
cale light/matter interactions -
DESCRIPTION:The numerical modeling of nanoscale light/matter interactions r
equires to solve the system of Maxwell equations possibly coupled to appro
priate models of physical dispersion such as the Drude and Drude-Lorentz m
odels. When this modeling is undertaken by assuming a time-domain regime\,
the simulation technique of choice is the Finite Difference Time-Domain (
FDTD) method [1]. In this method\, the whole computational domain is disc
retized using a structured (Cartesian) grid and regular stencils are use
d to discretize the differential terms of Maxwell’s equations. The simpl
icity of the method together with its computational efficiency has driven
its popularity in the computational electromagnetics community. However\,
for nanophotonic applications\, the space and time scales\, in addition to
the geometrical characteristics of the considered nanostructures (or st
ructured layouts of the latter)\, are particularly challenging for an accu
rate and efficient application of the FDTD method. In this talk\, we will
report on recent contributions on the design\, analysis and development o
f high order DGTD (Discontinuous Galerkin Time-Domain) methods [2] for the
numerical treatment of nanoscale light/matter interactions in the time-do
main regime. [1] A. Taflove and S. C. Hagness\, Computational Electrodynam
ics: The Finite-Difference Time-Domain Method\, 3rd Edition\, Artech House
Publishers\, 2005. [2] J. Viquerat\, Simulation of electromagnetic waves
propagation in nano-optics with a high-order discontinuous Galerkin time-d
omain method\, PhD thesis of the University of Nice-Sophia Antipolis\, Dec
ember 2015.http://www-sop.inria.fr/nachos/pmwiki-2.2.6/pmwiki.php/Main/St%
E9phaneLanteri
CATEGORIES:Séminaire Analyse Appliquée (AA)
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DTSTART:20170326T030000
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