Dyson maps and unitary evolution for Maxwell equations in tensor dielectric media

E Koukoutsis, K Hizanidis, AK Ram, G Vahala - Physical Review A, 2023 - APS
The propagation and scattering of electromagnetic waves in dielectric media is of theoretical
and experimental interest in a wide variety of fields. An understanding of observational …

Well-posedness and finite element approximability of time-harmonic electromagnetic boundary value problems involving bianisotropic materials and metamaterials

P Fernandes, M Raffetto - … Models and Methods in Applied Sciences, 2009 - World Scientific
A boundary value problem for the time harmonic Maxwell system is investigated through a
variational formulation which is shown to be equivalent to it and well-posed if and only if the …

Homogenization of Maxwell's equations in dissipative bianisotropic media

G Barbatis, IG Stratis - Mathematical methods in the applied …, 2003 - Wiley Online Library
We study the periodic homogenization of Maxwell's equations for dissipative bianisotropic
media in the time domain, both in R3 and in a bounded domain with the perfect conductor …

Wave splitting in direct and inverse scattering problems

M Gustafsson - 2000 - portal.research.lu.se
The focus of this thesis is on the use of wave splitting in electromagnetic direct and inverse
scattering problems. Wave splitting offers a decomposition of wave fields into appropriate …

Electromagnetic waves in layered nanoresonator systems including bi-isotropic and metamaterial layers: analytical model and characteristic features of proper waves

E Starodubtsev - Journal of Electromagnetic Waves and …, 2022 - Taylor & Francis
The interaction of electromagnetic waves with multilayers of subwavelength thicknesses
(nanoresonators) including the main layer made of a bi-isotropic material or metamaterial …

Electromagnetic wave propagation in dispersive and complex material with time-domain techniques

G Kristensson, A Karlsson, S Rikte - Scattering, 2002 - Elsevier
Publisher Summary This chapter discusses time-domain technique for wave propagation in
dispersive materials. The method is based upon a wave splitting technique and the concept …

A priori estimates for a singular limit approximation of the constitutive laws for chiral media in the time domain

KB Liaskos, IG Stratis, AN Yannacopoulos - Journal of mathematical …, 2009 - Elsevier
The equations for the evolution of electromagnetic fields in chiral media, in the time domain,
are nonlocal in time. In this work we study the validity of a singular limit (local in time) …

On the non-uniqueness of the electromagnetic instantaneous response

M Gustafsson - Journal of Physics A: Mathematical and General, 2003 - iopscience.iop.org
The instantaneous response models the rapid part of the interaction between
electromagnetic fields and materials. From a physical point of view the instantaneous …

Reconstruction of a stratified omega medium and the associated Riemann–Hilbert problem

AB de Monvel, D Shepelsky - Inverse problems, 2002 - iopscience.iop.org
We consider the inverse scattering problem for a model of electromagnetic wave
propagation in a stratified dispersive Ω-material. The dispersive properties of the material …

[PDF][PDF] Time domain theory of the macroscopic Maxwell equations

M Gustafsson - 1997 - portal.research.lu.se
A time domain description of linear macroscopic electromagnetic phenomena is considered.
We show that it is always possible to model the constitutive relations with a symmetric …