5 citations · 8 across the 8 of their papers we have counts for
9 papers
Multi-frequency averaging and uniform accuracy towards numerical approximations for a Bloch model
Brigitte Bidégaray-Fesquet, Clément Jourdana, Léopold Trémant
We are interested in numerically solving a transitional model derived from the Bloch model. The Bloch equation describes the time evolution of the density matrix of a quantum syste…
Extending nonstandard finite difference schemes rules to systems of nonlinear ODEs with constant coefficients
Marc Songolo, Brigitte Bidégaray-Fesquet
In this paper, we present a reformulation of Mickens' rules for nonstandard finite difference (NSFD) scheme to adapt them to systems of ODEs. This leads to exact schemes in the lin…
Data driven sampling of oscillating signals
Brigitte Bidégaray-Fesquet, Marianne Clausel
The reduction of the number of samples is a key issue in signal processing for mobile applications. We investigate the link between the smoothness properties of a signal and the nu…
Impact of Metallic Interface Description on Sub-wavelength Cavity Mode Computations
Brigitte Bidégaray-Fesquet, Eric Dumas
We present a numerical study of electromagnetic reflection and cavity modes of 1D-sub-wavelength rectangular metallic gratings exposed to TM-polarized light. Computations are made…
A nonlinear Bloch model for Coulomb interaction in quantum dots
Brigitte Bidégaray-Fesquet, Kole Keita
In this paper we first derive a Coulomb Hamiltonian for electron--electron interaction in quantum dots in the Heisenberg picture. Then we use this Hamiltonian to enhance a Bloch mo…
Static ferromagnetic materials: from the microscopic to the mesoscopic scale
Brigitte Bidégaray-Fesquet, Quentin Jouet, Stéphane Labbé
Thanks to averaging processes and Gamma-convergence techniques, we are able to link a microscopic description of ferromagnetic materials based on spin lattices and their mesoscopic…