Finite-difference time-domain formulation of stochastic noise in macroscopic atomic systems, Journal of Lightwave Technology, vol.27, issue.20, pp.4530-4535, 2009. ,
Time discretizations for Maxwell-Bloch equations, Numerical Methods for Partial Differential Equations, vol.19, issue.3, pp.284-300, 2003. ,
Introducing relaxation terms in Bloch equations, Journal of Computational Physics, vol.170, issue.2, pp.603-613, 2001. ,
Hiérarchie de modèles en optique quantique. De Maxwell-Blochà Schrödinger non-linéaire, Mathématiques et Applications, vol.49, 2006. ,
, Karl Blum. Density Matrix. Theory and Applications, 2012.
Nonlinear Optics, 2008. ,
Consistency Analysis of Operator Splitting Methods for C 0 -Semigroups, Semigroup Forum, vol.74, pp.125-139, 2007. ,
The classical Bloch equations, American Journal of Physics, vol.82, issue.10, pp.947-954, 2014. ,
The Quantum Theory of Light, 2000. ,
Nonstandard finite difference models of differential equations, 1994. ,
Nonstandard finite difference schemes, Applications of Nonstandard Finite Difference Schemes, pp.1-54, 2000. ,
Nonstandard finite difference Methods, Advanced in the applications of Nonstandard Finite Difference Schemes, pp.1-9, 2005. ,
On the construction and comparison of difference schemes, SIAM Journal on Numerical Analysis, vol.5, issue.3, pp.506-517, 1968. ,
Asymptotic preserving scheme for Bloch equations, 2015. ,
Light-Matter interaction. Fundamentals and Applications, 2003. ,
Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media, IEEE Transactions on Antennas and Propagation, vol.14, issue.3, pp.302-307, 1966. ,
Ultrafast pulse interaction with two-level atoms, Physical Review A, vol.53, issue.4, pp.3082-3094, 1995. ,
Realization of an all-optical triode and diode with a two-level atom loaded diffraction grating, Applied Optics, vol.36, issue.33, pp.8547-8556, 1997. ,
The incorporation of microscopic material models into the FDTD approach for ultrafast optical pulse simulations, IEEE Transactions on Antennas and Propagation, vol.45, issue.3, pp.375-391, 1997. ,