A DGTD method for the numerical modeling of the interaction of light with nanometer scale metallic structures taking into account nonlocal dispersion effects
Abstract
The interaction of light with metallic nanostructures is increasingly attracting interest because of numerous potential applications. Subwavelength metallic structures, when illuminated with a frequency close to the plasma frequency of the metal, present resonances that cause extreme local field enhancements. Exploiting the latter in applications of interest requires a detailed knowledge about the occurring fields which can actually not be obtained analytically. For the latter mentioned reason, numerical tools are thus an absolute necessity. The insight they provide is very often the only way to get a deep enough understanding of the very rich physics at play. For the numerical modeling of lightstructure interaction on the nanoscale, the choice of an appropriate material model is a crucial point. Approaches that are adopted in a first instance are based on local (i.e. with no interaction between electrons) dispersive models, e.g. Drude or Drude–Lorentz models. From the mathematical point of view, when a timedomain modeling is considered, these models lead to an additional system of ordinary differential equations coupled to Maxwell's equations. However, recent experiments have shown that the repulsive interaction between electrons inside the metal makes the response of metals intrinsically nonlocal and that this effect cannot generally be overlooked. Technologicalmore »
 Authors:
 Inria, 2004 Route des Lucioles, BP 93, 06902 Sophia Antipolis Cedex (France)
 (TEMF), Schlossgartenstr. 8, 64289 Darmstadt (Germany)
 (France)
 Institut Pascal, Université Blaise Pascal, 24, avenue des Landais, 63171 Aubière Cedex (France)
 Publication Date:
 OSTI Identifier:
 22572323
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Journal of Computational Physics; Journal Volume: 316; Other Information: Copyright (c) 2016 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; INTERACTIONS; LANGMUIR FREQUENCY; NANOSTRUCTURES; NONLINEAR PROBLEMS; PARTIAL DIFFERENTIAL EQUATIONS; PLASMA; SIMULATION; WAVELENGTHS
Citation Formats
Schmitt, Nikolai, Technische Universitaet Darmstadt, Institut fuer Theorie Elektromagnetischer Felder, Scheid, Claire, University of Nice – Sophia Antipolis, Mathematics laboratory, Parc Valrose, 06108 Nice, Cedex 02, Lanteri, Stéphane, Email: Stephane.Lanteri@inria.fr, Moreau, Antoine, and Viquerat, Jonathan. A DGTD method for the numerical modeling of the interaction of light with nanometer scale metallic structures taking into account nonlocal dispersion effects. United States: N. p., 2016.
Web. doi:10.1016/J.JCP.2016.04.020.
Schmitt, Nikolai, Technische Universitaet Darmstadt, Institut fuer Theorie Elektromagnetischer Felder, Scheid, Claire, University of Nice – Sophia Antipolis, Mathematics laboratory, Parc Valrose, 06108 Nice, Cedex 02, Lanteri, Stéphane, Email: Stephane.Lanteri@inria.fr, Moreau, Antoine, & Viquerat, Jonathan. A DGTD method for the numerical modeling of the interaction of light with nanometer scale metallic structures taking into account nonlocal dispersion effects. United States. doi:10.1016/J.JCP.2016.04.020.
Schmitt, Nikolai, Technische Universitaet Darmstadt, Institut fuer Theorie Elektromagnetischer Felder, Scheid, Claire, University of Nice – Sophia Antipolis, Mathematics laboratory, Parc Valrose, 06108 Nice, Cedex 02, Lanteri, Stéphane, Email: Stephane.Lanteri@inria.fr, Moreau, Antoine, and Viquerat, Jonathan. Fri .
"A DGTD method for the numerical modeling of the interaction of light with nanometer scale metallic structures taking into account nonlocal dispersion effects". United States.
doi:10.1016/J.JCP.2016.04.020.
@article{osti_22572323,
title = {A DGTD method for the numerical modeling of the interaction of light with nanometer scale metallic structures taking into account nonlocal dispersion effects},
author = {Schmitt, Nikolai and Technische Universitaet Darmstadt, Institut fuer Theorie Elektromagnetischer Felder and Scheid, Claire and University of Nice – Sophia Antipolis, Mathematics laboratory, Parc Valrose, 06108 Nice, Cedex 02 and Lanteri, Stéphane, Email: Stephane.Lanteri@inria.fr and Moreau, Antoine and Viquerat, Jonathan},
abstractNote = {The interaction of light with metallic nanostructures is increasingly attracting interest because of numerous potential applications. Subwavelength metallic structures, when illuminated with a frequency close to the plasma frequency of the metal, present resonances that cause extreme local field enhancements. Exploiting the latter in applications of interest requires a detailed knowledge about the occurring fields which can actually not be obtained analytically. For the latter mentioned reason, numerical tools are thus an absolute necessity. The insight they provide is very often the only way to get a deep enough understanding of the very rich physics at play. For the numerical modeling of lightstructure interaction on the nanoscale, the choice of an appropriate material model is a crucial point. Approaches that are adopted in a first instance are based on local (i.e. with no interaction between electrons) dispersive models, e.g. Drude or Drude–Lorentz models. From the mathematical point of view, when a timedomain modeling is considered, these models lead to an additional system of ordinary differential equations coupled to Maxwell's equations. However, recent experiments have shown that the repulsive interaction between electrons inside the metal makes the response of metals intrinsically nonlocal and that this effect cannot generally be overlooked. Technological achievements have enabled the consideration of metallic structures in a regime where such nonlocalities have a significant influence on the structures' optical response. This leads to an additional, in general nonlinear, system of partial differential equations which is, when coupled to Maxwell's equations, significantly more difficult to treat. Nevertheless, dealing with a linearized nonlocal dispersion model already opens the route to numerous practical applications of plasmonics. In this work, we present a Discontinuous Galerkin TimeDomain (DGTD) method able to solve the system of Maxwell's equations coupled to a linearized nonlocal dispersion model relevant to plasmonics. While the method is presented in the general 3D case, numerical results are given for 2D simulation settings.},
doi = {10.1016/J.JCP.2016.04.020},
journal = {Journal of Computational Physics},
number = ,
volume = 316,
place = {United States},
year = {Fri Jul 01 00:00:00 EDT 2016},
month = {Fri Jul 01 00:00:00 EDT 2016}
}

Analysis of threedimensional problems associated with highspeed interaction of deformed solids with a solid barrier over a broad range of angles of impact constitutes a task of the highest priority. However, none of the studies of asymmetric impact, either in the two or the threedimensional formulation, that have been conducted up until now have focused on the subject of thermal effects. In addition, from ana analysis of studies that have been devoted to axisymmetric problems of highspeed impact, it is clear that the dependence of the characteristics of the material on temperature must be taken into account in order tomore »

Numerical analysis of functionally integrated VLSIC elements taking into account heat effects. II. Method and program
In the first part of this paper a discrete multidimensional physicaltopological model of functionally integrated VLSIC elements which took heat effects into account was constructed and analyzed. In this part, the method of implementation for the model and a universal program for its implementation are described. The method is based on the solution of a truncated system of equations derived from the starting system with the help of a number of assumptions. The key assumption is that the temperature is constant over the VLSIC structure. The equations are used to represent current density, the majority charge carriers, the Fermi quasilevelsmore » 
Estimates of the pionnucleon sigma term using dispersion relations and taking into account the relation between chiral and scale invariance breaking
We study the possible reasons for the disagreement between the estimates of the pionnucleon sigma term obtained by the method of dispersion relations with extrapolation to the ChengDashen point and by other methods which do not involve this extrapolation. One reason for the disagreement may be the nonanalyticity of the ..pi..N amplitude in the variable t for ..nu.. = 0. We propose a method for estimating the sigma term using the threshold data for the ..pi..N amplitude, in which the effect of this nonanalyticity is minimized. We discuss the relation between scale invariance violation and chiral symmetry breaking and givemore » 
Numerical analysis of functionally integrated VLSIC elements taking into account thermal effects. I. Model
A discrete physicaltopological twodimensional model intended for calculating the elements of very large scale integrated circuits is constructed which takes into account the thermal effects which impose a fundamental limit on the increase in the degree to which such circuits can be integrated. The model is based on fundamental systems of equations for the physics of semiconductors supplemented by a heat conduction equation. The recombinationgeneration processes are described using the traditional ShockleyReadHall model. Normalizing coefficients for the temperature potentials, coordinates, charge density, diffusion, mobility, recombinationgeneration rate, lifetime, and thermal conductivity are calculated. A complete difference scheme is obtained which consistsmore »