Our interest in the study and computation of electromagnetic fields started during the 1990s.
For Franck Assous, it originated from the need to compute precisely the motion of charged …

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 …

We analyze the averaged controllability properties of random evolution Partial Differential
Equations. We mainly consider heat and Schrödinger equations with random parameters …

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 proposes a fully discrete method called the symplectic discontinuous Galerkin
(dG) full discretization for stochastic Maxwell equations driven by additive noises, based on …

This paper is concerned with the direct and inverse scattering of time-harmonic
electromagnetic waves from bi-anisotropic media. For the direct problem, we establish an …

Stochastic Maxwell equations with additive noise are a system of stochastic Hamiltonian
partial differential equations intrinsically, possessing the stochastic multi-symplectic …

Since the successful construction of the so-called double negative metamaterials in 2000,
there has been a growing interest in studying metamaterials across many disciplinaries. In …

In this article we develop the local wellposedness theory for quasilinear Maxwell equations
in H m for all m≥ 3 on domains with perfectly conducting boundary conditions. The …

We study the dependence of the eigenvalues of time‐harmonic Maxwell's equations in a
cavity upon variation of its shape. The analysis concerns all eigenvalues both simple and …