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Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373
Site Saint-Charles : 3 place Victor Hugo, Case 19, 13331 Marseille Cedex 3
Site Luminy : Campus de Luminy - Case 907 - 13288 Marseille Cedex 9

Séminaire

Discontinuous Galerkin methods for the numerical modeling of nanoscale light/matter interactions




Date(s) : 17/10/2017   iCal
11h00 - 12h00

The numerical modeling of nanoscale light/matter interactions requires to solve the system of Maxwell equations possibly coupled to appropriate models of physical dispersion such as the Drude and Drude-Lorentz models. 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 discretized using a structured (Cartesian) grid and regular stencils are used to discretize the differential terms of Maxwell’s equations. The simplicity 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 structured layouts of the latter), are particularly challenging for an accurate and efficient application of the FDTD method. In this talk, we will report on recent contributions on the design, analysis and development of high order DGTD (Discontinuous Galerkin Time-Domain) methods [2] for the numerical treatment of nanoscale light/matter interactions in the time-domain regime.

[1] A. Taflove and S. C. Hagness, Computational Electrodynamics: 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-domain method, PhD thesis of the University of Nice-Sophia Antipolis, December 2015.

http://www-sop.inria.fr/nachos/pmwiki-2.2.6/pmwiki.php/Main/St%E9phaneLanteri

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