In this work, we investigate mathematical models for electromagnetic wave propagation in
dispersive isotropic media. We emphasize the link between physical requirements and …

We introduce a Hamiltonian formulation of electromagnetic fields in dispersive and
absorptive structured media of arbitrary dimensionality; the Kramers-Kronig relations are …

A novel approach to critical-contrast homogenisation for periodic PDEs is proposed, via an
explicit asymptotic analysis of Dirichlet-to-Neumann operators. Norm-resolvent asymptotics …

Reduced basis methods are popular for approximately solving large and complex systems
of differential equations. However, conventional reduced basis methods do not generally …

The dissipative character of an electromagnetic medium breaks the unitary evolution
structure that is present in lossless, dispersive optical media. In dispersive media …

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 …

We design sources for the two-dimensional Helmholtz equation that can cloak an object by
cancelling out the incident field in a region, without the sources completely surrounding the …

Motivated by the need to attribute a rigorous mathematical meaning to the term
“metamaterial,” we propose a novel approach to the homogenization of critical-contrast …

We construct here a Lagrangian field formulation for a system consisting of an electron
beam interacting with a slow-wave structure modeled by a possibly non-uniform multiple …

A quantum damped-polariton model is constructed for an inhomogeneous anisotropic linear
dielectric with arbitrary dispersion in space and time. The model Hamiltonian is completely …