The goal of this thesis is to develop a discontinuous Galerkin time-domain method to be able to handle realistic nanophotonics computations. During the last decades, the evolution of lithography techniques allowed the creation of geometrical structures at the nanometer scale, thus unveiling a variety of new phenomena arising from light-matter...
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December 10, 2015 (v1)PublicationUploaded on: February 28, 2023
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November 22, 2018 (v1)Publication
A simple procedure for the generation of accurate polychromatic sources in waveguides taking into account mode dispersion is presented. It allows for an efficient use of time-domain solvers in the analysis of guided modes, and can be used wether the mode dispersion and field distribution are known analytically or numerically. This method is...
Uploaded on: December 4, 2022 -
March 8, 2019 (v1)Journal article
A simple procedure for the generation of accurate polychromatic sources in waveguides taking into account mode dispersion is presented. It allows for an efficient use of time‐domain solvers in the analysis of guided modes, and can be used whether the mode dispersion and field distribution are known analytically or numerically. This method is...
Uploaded on: December 4, 2022 -
March 2015 (v1)Journal article
Classical finite element methods rely on tessellations composed of straight-edged elements mapped linearly from a reference element, on domains which physical boundaries and interfaces are indifferently straight or curved. This approximation represents a serious hindrance for high-order methods, since they limit the accuracy of the spatial...
Uploaded on: February 28, 2023 -
June 23, 2014 (v1)Conference paper
Classical finite element methods rely on tessellations composed of straight-edged elements mapped linearly from a reference element, on domains which physical boundaries are indifferently straight or curved. This approximation represents serious hindrance for high-order methods, since they limit the precision of the spatial discretization to...
Uploaded on: February 28, 2023 -
2016 (v1)Journal article
During the last ten years, the discontinuous Galerkin time-domain (DGTD) method has progressively emerged as a viable alternative to well established finite-difference time-domain (FDTD) and finite-element time-domain (FETD) methods for the numerical simulation of electromagnetic wave propagation problems in the time-domain. The method is now...
Uploaded on: February 28, 2023 -
March 2015 (v1)Journal article
International audience
Uploaded on: March 25, 2023 -
July 6, 2015 (v1)Conference paper
We present a discontinuous finite element (discontinuous Galerkin) time-domain solver for the numerical simulation of the interaction of light with nanometer scale structures. The method relies on a compact stencil high order interpolation of the electromagnetic field components within each cell of an unstructured tetrahedral mesh. This...
Uploaded on: February 28, 2023 -
September 13, 2019 (v1)Journal article
In this work, we focus on the development of the use of Periodic Boundary Conditions (PBC) with sources at oblique incidence in a Discontinuous Galerkin Time Domain (DGTD) framework. Whereas in the context of the Finite Difference Time Domain (FDTD) methods, an abundant literature can be found, for DGTD, the amount of contributions reporting on...
Uploaded on: December 4, 2022 -
January 6, 2020 (v1)Publication
Machine learning is a popular tool that is being applied to many domains, from computer vision to natural language processing. It is not long ago that its use was extended to physics, but its capabilities remain to be accurately contoured. In this paper, we are interested in the prediction of 2D velocity and pressure fields around arbitrary...
Uploaded on: December 4, 2022 -
January 2017 (v1)Journal article
In this paper, we are concerned with the numerical modelling of the propagation of electromagnetic waves in dispersive materials for nanophotonics applications. We focus on a generalized model that allows for the description of a wide range of dispersive media. The underlying differential equations are recast into a generic form, and we...
Uploaded on: February 28, 2023 -
June 27, 2016 (v1)Conference paper
Nanophotonics is the field of science and technology which aimed at establishing and using the peculiar properties of light and light-matter interaction in various nanostructures. Nanopho-tonics includes all the phenomena that are used in optical sciences for the development of optical devices. Because of its numerous scientific and...
Uploaded on: February 28, 2023 -
2017 (v1)Book section
Nanophotonics is the field of science and technology which aimed at establishing and using the peculiar properties of light and light/matter interactions in various nanostructures. The numerical modeling of such interactions requires to solve the system of time-domain Maxwell equations possibly coupled to appropriate models of physical...
Uploaded on: February 28, 2023 -
January 5, 2023 (v1)Journal article
Dynamic metasurface is an emerging concept for achieving a flexible control of electromagnetic waves. Generalized sheet transition conditions (GSTCs) can be used to model the relationship between the electromagnetic response and surface susceptibility parameters characterizing a metasurface. However, when it comes to the inverse problem of...
Uploaded on: February 22, 2023 -
July 25, 2016 (v1)Conference paper
We present recent advancements of the development of our DGTD solvers for computational nanophotonics, particularly for metallic nanostructures irradiated by laser pulses or electron beams. By this means, we firstly discuss the numerical treatment of a nonlocal dispersion model for the electron gas which is necessary for structures in the...
Uploaded on: February 28, 2023 -
November 2018 (v1)Journal article
International audience
Uploaded on: December 4, 2022 -
November 24, 2017 (v1)Publication
In this work, we present and study a flexible and accurate numerical solver in the context of three-dimensional computational nanophotonics. More precisely, we focus on the propagation of electromagnetic waves through metallic media described by a non-local dispersive model. For this model, we propose a discretization based on a high-order...
Uploaded on: February 28, 2023 -
July 4, 2017 (v1)Conference paper
We present recent advances in the development of a Finite Element Time Domain (Discontinuous Galerkin) solver for computational nanophotonics, focusing on metallic nano structures irradiated by laser pulses. Metallic nano structures of sizes between 2 nm and 25 nm are well known to show spatial dispersion which is modeled by a nonlocal...
Uploaded on: February 28, 2023 -
May 20, 2014 (v1)Conference paper
During the last ten years, the discontinuous Galerkin time-domain (DGTD) method has progressively emerged as a viable alternative to well established finite-difference time-domain (FDTD) and finite-element time-domain (FETD) methods for the numerical simulation of electromagnetic wave propagation problems in the time-domain. We discuss here...
Uploaded on: February 28, 2023 -
May 2, 2013 (v1)Report
This report focuses on a centered-fluxes discontinuous Galerkin method coupled to a second-order Leap-Frog time scheme for the propagation of electromagnetic waves in dispersive media. After a presentation of the physical phenomenon and the classical dispersion models (particularly the Drude one), a generalized dispersive model is introduced....
Uploaded on: March 25, 2023 -
September 14, 2022 (v1)Journal article
This research reports on the recent development of black-box optimization methods based on single-step deep reinforcement learning (DRL) and their conceptual similarity to evolution strategy (ES) techniques. It formally introduces policy-based optimization (PBO), a policy-gradient method that relies on a policy network to describe the density...
Uploaded on: December 3, 2022 -
May 2015 (v1)Report
The interaction of light with metallic nanostructures is of increasing interest for various fields of research. When metallic structures have sub-wavelength sizes and the illuminating frequencies are in the regime of metal's plasma frequency, electron interaction with the exciting fields have to be taken into account. Due to...
Uploaded on: March 25, 2023 -
May 22, 2017 (v1)Conference paper
— We present recent advances of the development on Discontinuous Galerkin Time Domain (DGTD) solvers for computational nanophotonics, focusing on metallic nanostructures irradiated by laser pulses. By this means, we firstly discuss an analytical nonlocal dispersion model for the electron gas which is necessary in order to account for spatial...
Uploaded on: February 28, 2023 -
November 2014 (v1)Journal article
The present work is about the development of a parallel non-conforming multi-element discontinuous Galerkin time-domain (DGTD) method for the simulation of the scattering of electromagnetic waves by metallic nanoparticles. Such nanoparticles most often have curvilinear shapes, therefore we propose a numerical modeling strategy which combines...
Uploaded on: March 25, 2023 -
July 2016 (v1)Journal article
International audience
Uploaded on: February 28, 2023