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math-ph2025
An operator approach to the analysis of electromagnetic wave propagation in dispersive media. Part 1: general results
Maxence Cassier, Patrick Joly
We investigate in this chapter the mathematical models for electromagnetic wave propagation in dispersive isotropic passive linear media for which the dielectric permittivity $\var…
math-ph2025
An operator approach to the analysis of electromagnetic wave propagation in dispersive media. Part 2: transmission problems
Maxence Cassier, Patrick Joly
In this second chapter, we analyse transmission problems between a dielectric and a dispersive negative material. In the first part, we consider a transmission problem between two…
math-ph2024
Long time behaviour of the solution of Maxwell's equations in dissipative generalized Lorentz materials (II) A modal approach
Maxence Cassier, Patrick Joly, Luis Alejandro Rosas MartÃnez
This work concerns the analysis of electromagnetic dispersive media modelled by generalized Lorentz models. More precisely, this paper is the second of two articles dedicated to th…