Modeling of frequency-dependent magnetized plasma in hybrid symmetrical condensed TLM method

Abstract

Abstract-In this paper, magnetized plasma media are modeled using the time-domain TLM method with hybrid symmetrical condensed node (HSCN). The proposed technique consists in adding voltage sources characterizing dispersive media in the HSCN. Numerical results are presented for reflection and transmission coefficients for a magnetized plasma wall, proving the efficiency of the proposed model.

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

“…n+1 V sx is the voltage source introduced in port 16 of HSCN [5] in order to take into account in the TLM mesh linear and nonlinear dispersive properties and also Kerr effects and Raman interactions taking place in the nonlinear medium:…”

“…The recent developments of the transmission line matrix (TLM) method have shown its flexibility and efficiency for the simulation of EM waves propagation in complex media. This technique has been able to simulate EM wave propagation in dispersive anisotropic, dispersive bi-anisotropic and nonlinear media [1,2,4,5,6]. In this paper, a time domain approach for the simulation of nonlinear dispersive optical media using the TLM method is developed directly from Maxwell's equations and which does not make use of the Z-transform techniques [2,3].…”

Scattering From Three-Dimensional Dispersive Gyrotropic Bodies Using the TLM Method

“…Hybrid Symmetrical Condensed Node approach of TLM method was used by Yaich et al to model the magnetized plasma slab problem [3] and the magnetized ferrite slab problem [4]. On the other hand, Paul used TLM method to model gyrotropic materials, where he introduced a different approach using Z transform in order to adapt the frequency dependency of the media to discrete time domain [5].…”

Efficient modeling of isotropic cold plasma media using JE-TLM method

“…Using different formulations, this method can model successfully electromagnetic waves propagation in several dispersive media [1,2,3,4]. These recent studies on TLM method are contributed substantially to the development of its numerical potentialities and to the improvement of the SCN.…”

“…In 1999, the modeling of linear dispersive media was enriched by using the Z-transform approach developed by J. Paul and al., this approach expresses the electric properties of the dispersive media in function of Z variable and not according to the angular frequency ω [2]. Another approach using voltage sources was applied successfully to the modeling of linear dispersive media [3,4]. The proposed and validated approaches are developed starting from Maxwell's equations, constitutive relations of the linear and isotropic dispersive media, and the inherent rules to the TLM modeling method.…”