Mohamed Iben Yaich

An SCN-TLM model for the analysis of ferrite media

The modeling of ferrite media using the symmetrical condensed node (SCN) of transmission line matrix (TLM) method and current sources is developed. The proposed approach allows one to study the interaction between electromagnetic (EM) waves and gyromagnetic media. The obtained results are in good agreement with the analytical ones.

The far-zone scattering calculation of frequency-dependent materials objects using the TLM method

The transmission-line matrix method is used for the calculation of the far scattered field and radar cross section of frequency dependent materials objects. Three different materials have been considered, namely, Debye, plasma, and Lorentz for which the electric susceptibility is complex. The proposed model is based on the computation of the equivalent currents and on a time domain near-to-far-field transformation technique. To illustrate this study, the far-zone scattering results for different spheres using the three materials indicated above are presented.

Modeling of electromagnetic waves propagation in nonlinear optical media using HSCN-TLM method

In this paper, we propose a hybrid symmetrical condensed node TLM approach for the simulation of optical media under femtosecond regime. The formulation is based on the piecewise linear recursive convolution (PLRC) technique, voltage sources and the introduction of the variable admittance concept. Optical solitons with Kerr and Raman nonlinearities are simulated using this novel approach.

Analysis of Epstein Distribution Effect on the Plasma Reflectance

To analyze the interaction between electromagnetic waves and plasma, the behaviour of electrons contained in this medium must be understood and modeled. In this paper, the interaction with cold plasma is analyzed using the (PLCDRC-TLM) method. As the electron density in plasma can be moduled using Epstein formula, and its distribution is a function of the grad coefficient \(\sigma \), the effect of this parameter and the electron collision frequency \(\upsilon _{c}\) on the reflection coefficient is calculated. The results show that with different \(\sigma \) and \(\upsilon _{c}\), the reflection coefficient is affected.

Runge-Kutta Exponential Time Differencing-TLM method for modeling cold plasma media

Based on the Transmission Line Matrix (TLM) method and the Runge-Kutta Exponential Time Differencing (RKETD) technique, this paper presents a new approach for modeling the propagation of electromagnetic waves through dispersive cold plasma media. The high accuracy and efficiency of the proposed formulation are verified by calculating transmission and reflection coefficients for a cold plasma slab, and then applied to resolve a cold plasma sphere scattering problem.

SCN-TLM simulation of femtosecond optical in a four level two electron atomic system governed by Pauli Exclusion Principle

A simulation model of electromagnetic waves propagation, in four-level two-electron atomic systems is presented in this work. These systems, submitted to an electromagnetic wave, are governed by Pauli Exclusion Principle and they are modeled using the Time-Domain Transmission Line Matrix (TLM) method with the symmetrical condensed node (SCN) and novel voltage sources. The development of the proposed model is based on the incorporation, in Maxwells equations, of the coupled rate equations with Pauli Exclusion Principle, taking into account the dynamic pumping in the TLM formulation. 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 the theoretical ones.