[HTML][HTML] Well-posedness and exponential stability of nonlinear Maxwell equations for dispersive materials with interface

T Dohnal, M Ionescu-Tira, M Waurick - Journal of Differential Equations, 2024 - Elsevier
In this paper we consider an abstract Cauchy problem for a Maxwell system modeling
electromagnetic fields in the presence of an interface between optical media. The 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 …

[HTML][HTML] On spectral enclosures for Maxwell's equations with the Drude–Lorentz model

C Engström - Applied Mathematics Letters, 2024 - Elsevier
In this paper, we compare two approaches to derive spectral enclosures for Maxwell's
equations with the Drude–Lorentz model in possibly unbounded domains. The enclosures …

[HTML][HTML] Bifurcation and asymptotics of cubically nonlinear transverse magnetic surface plasmon polaritons

T Dohnal, R He - Journal of Mathematical Analysis and Applications, 2024 - Elsevier
Linear Maxwell equations for transverse magnetic (TM) polarized fields support single
frequency surface plasmon polaritons (SPPs) localized at the interface of a metal and a …

[HTML][HTML] Essential spectrum for dissipative Maxwell equations in domains with cylindrical ends

F Ferraresso, M Marletta - Journal of Mathematical Analysis and …, 2024 - Elsevier
We consider the Maxwell equations with anisotropic coefficients and non-trivial conductivity
in a domain with finitely many cylindrical ends. We assume that the conductivity vanishes at …

[HTML][HTML] A quasilinear transmission problem with application to Maxwell equations with a divergence-free D-field

T Dohnal, G Romani, DP Tietz - Journal of Mathematical Analysis and …, 2022 - Elsevier
Maxwell equations in the absence of free charges require initial data with a divergence-free
displacement field D. In materials in which the dependence D= D (E) is nonlinear the …

[PDF][PDF] Analysis, approximation, and stability of electromagnetic surface waves

M Ionescu-Tira - 2023 - opendata.uni-halle.de
Electromagnetic fields are ubiquitous in nature, many sciences, and engineering, as they
are the forces underlying the principles of electricity, magnetism, and optics. These fields are …

Well-Posedness and Exponential Stability of Nonlinear Maxwell Equations for Dispersive Materials with Interface

M Ionescu-Tira, T Dohnal, M Waurick - Available at SSRN 4439087, 2023 - papers.ssrn.com
In this paper we consider an abstract Cauchy problem for a Maxwell system modelling
electromagnetic fields in the presence of an interface between optical media. The electric …