Lyngby, Denmark.'
- 'Center for Nanostructured Graphene, Technical University of Denmark, [Ø]{}rsteds Plads 343, DK-2800 Kgs. Lyngby, Denmark'
author:
- Liang Li
- Stéphane Lanteri
- 'N. Asger Mortensen'
- Martijn Wubs
title: A hybridizable discontinuous Galerkin method for solving nonlocal optical response models
---

Maxwell’s equations; nonlocal hydrodynamic Drude model; general nonlocal optical response theory; hybridizable discontinuous Galerkin method

Introduction {#sec:intro}
============

Nanophotonics is the active research field field concerned with the study of interactions between nanometer scale structures/media and light, including near-infrared, visible, and ultraviolet light. It bridges the micro and the macro worlds, and there are many connections between theoretical studies and feasible engineering. The many fascinating (potential) applications include invisibility cloaking, nano antennas, metamaterials, novel biological detection and treatment technologies, as well as new storage media [@Maier].

All of the above applications of nanophotonics require elaborate control of the propagation of light waves. In order to do so, appropriate mathematical models are needed to predict the behavior of light-matter interactions. Metals are interesting for nanophotonics because they can both enhance and confine optical fields, making plasmonics of interest to emerging quantum technologies [@Tame; @Bozhevolnyi; @Fitzgerald]. This is enabled by the existence of Surface Plasmons (SPs). SPs 