[HTML][HTML] Mathematical models for dispersive electromagnetic waves: an overview

M Cassier, P Joly, M Kachanovska - Computers & Mathematics with …, 2017 - Elsevier
In this work, we investigate mathematical models for electromagnetic wave propagation in
dispersive isotropic media. We emphasize the link between physical requirements and …

[图书][B] Mathematical foundations of computational electromagnetism

F Assous, P Ciarlet, S Labrunie - 2018 - Springer
Our interest in the study and computation of electromagnetic fields started during the 1990s.
For Franck Assous, it originated from the need to compute precisely the motion of charged …

A review of anomalous resonance, its associated cloaking, and superlensing

RC McPhedran, GW Milton - Comptes …, 2020 - comptes-rendus.academie-sciences …
We review a selected history of anomalous resonance, cloaking due to anomalous
resonance, cloaking due to complementary media, and superlensing. Résumé. Nous …

Simulating transient wave phenomena in acoustic metamaterials using auxiliary fields

C Bellis, B Lombard - Wave Motion, 2019 - Elsevier
Acoustic wave propagation in dispersive metamaterials is considered. A prototypical
example stems from the homogenization of a waveguide coupled with Helmholtz resonators …

[HTML][HTML] Bounds on Herglotz functions and fundamental limits of broadband passive quasistatic cloaking

M Cassier, GW Milton - Journal of Mathematical Physics, 2017 - pubs.aip.org
Using a sum rule, we derive new bounds on Herglotz functions that generalize those given
in Bernland et al.[J. Phys. A: Math. Theor. 44 (14), 145205 (2011)] and Gustafsson and …

Spectral theory for Maxwell's equations at the interface of a metamaterial. Part II: Limiting absorption, limiting amplitude principles and interface resonance

M Cassier, C Hazard, P Joly - Communications in Partial …, 2022 - Taylor & Francis
This paper is concerned with the time-dependent Maxwell's equations for a plane interface
between a negative material described by the Drude model and the vacuum, which fill …

Spectrum of the Maxwell equations for a flat interface between homogeneous dispersive media

M Brown, T Dohnal, M Plum, I Wood - Communications in Mathematical …, 2025 - Springer
The paper determines and classifies the spectrum of a non-self-adjoint operator pencil
generated by the time-harmonic Maxwell problem with a nonlinear dependence on the …

An optimization-based method for sign-changing elliptic PDEs

A Abdulle, S Lemaire - ESAIM: Mathematical Modelling and …, 2024 - esaim-m2an.org
We study the numerical approximation of sign-shifting problems of elliptic type. We fully
analyze and assess the method briefly introduced in [A. Abdulle, ME Huber and S. Lemaire …

Spectral analysis of polygonal cavities containing a negative-index material

C Hazard, S Paolantoni - Annales Henri Lebesgue, 2020 - numdam.org
The purpose of this paper is to investigate the spectral effects of an interface between
vacuum and a negative-index material (NIM), that is, a dispersive material whose electric …

[HTML][HTML] Spectral properties of the inhomogeneous Drude-Lorentz model with dissipation

F Ferraresso, M Marletta - Journal of Differential Equations, 2023 - Elsevier
We establish spectral enclosures and spectral approximation results for the inhomogeneous
lossy Drude-Lorentz system with purely imaginary poles, in a possibly unbounded Lipschitz …