[HTML][HTML] Well-posedness and exponential stability of nonlinear Maxwell equations for dispersive materials with interface
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 …
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 …
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 …
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
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 …
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 …
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
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 …
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 …
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
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 …
electromagnetic fields in the presence of an interface between optical media. The electric …