Modeling of Optical Pulse Propagation in Nonlinear Dispersive Media using JE-TLM Method

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCES & RESEARCH TECHNOLOGY Modeling of Optical Pulse Propagation in Nonlinear Dispersive Media using JE-TLM Method H. El Faylali, M. Iben Yaich and M. Khaladi *1,2,3 Electronic & Microwaves Group Faculty of Sciences, Abdelmalek Essaadi University P. O. Box: 2121, Tetuan 93000 Morocco [email protected] Abstract In this paper, we propose a simulation model of electromagnetic wave’s propagation in twolevel atomic system. This model exploits the dependence of the polarization current density and the voltage electric in the context of the Transmission Line Matrix method with the Symmetrical Condensed Node (SCN -TLM) and novel voltage sources. By solving Maxwell's and the polarization current density equations, the proposed model, named JE-TLM, allows the simulation of the time variation of electric field and the population difference between the two energy levels of an atomic system. The scattering matrix characterizing the SCN with the new voltage sources is provided and the numerical results are compared with those of the literature or with the theoretical ones.