Champs magnétiques classiques et quantiques
Coherent nonlinear waves and the Wiener algebra
We study oscillatory solutions of semilinear first order symmetric hyperbolic system , with real analytic .The main advance in this paper is that it treats multidimensional problems with profiles that are almost periodic in with only the natural hypothesis of coherence.In the special case where has constant coefficients and the phases are linear, the solutions have asymptotic descriptionwhere the profile is almost periodic in .The main novelty in the analysis is the space of profiles which...
Complex geometrical optics solutions for Lipschitz conductivities.
Computation of the fundamental solution of electrodynamics for anisotropic materials
A new method for computation of the fundamental solution of electrodynamics for general anisotropic nondispersive materials is suggested. It consists of several steps: equations for each column of the fundamental matrix are reduced to a symmetric hyperbolic system; using the Fourier transform with respect to space variables and matrix transformations, formulae for Fourier images of the fundamental matrix columns are obtained; finally, the fundamental solution is computed by the inverse Fourier transform....
Computational issues in Electrical Impedence Tomography
Computing guided modes for an unbounded stratified medium in integrated optics
We present a finite element method to compute guided modes in a stratified medium. The major difficulty to overcome is related to the unboundedness of the stratified medium. Our method is an alternative to the use of artificial boundary conditions and to the use of integral representation formulae. The domain is bounded in such a way we can write the solution on its lateral boundaries in terms of Fourier series. The series is then truncated for the computations over the bounded domain. The problem...
Computing guided modes for an unbounded stratified medium in integrated optics
We present a finite element method to compute guided modes in a stratified medium. The major difficulty to overcome is related to the unboundedness of the stratified medium. Our method is an alternative to the use of artificial boundary conditions and to the use of integral representation formulae. The domain is bounded in such a way we can write the solution on its lateral boundaries in terms of Fourier series. The series is then truncated for the computations over the bounded domain. The problem...
Contrôle et stabilisation d'ondes électromagnétiques
Contrôle et stabilisation d'ondes électromagnétiques
We consider the exact controllability and stabilization of Maxwell equation by using results on the propagation of singularities of the electromagnetic field. We will assume geometrical control condition and use techniques of the work of Bardos et al. on the wave equation. The problem of internal stabilization will be treated with more attention because the condition divE=0 is not preserved by the system of Maxwell with Ohm's law.
Convergence of a method for solving the magnetostatic field in nonlinear media
For solving the boundary-value problem for potential of a stationary magnetic field in two dimensions in ferromagnetics it is possible to use a linearization based on the succesive approximations. In this paper the convergence of this method is proved under some conditions.
Covolume techniques for anisotropic media.