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

Adraoui, Soufiane El; Zugari, Asmaa; Mounirh, Khalid; Charif, Mohamed; Yaich, M. Iben; Khalladi, Mohsine

doi:10.1109/icmcs.2014.6911394

Cited by 1 publication

(1 citation statement)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In other works, recursive convolution schemes have been extensively investigated such as constant recursive convolution (CRC) [3], piecewise linear recursive convolution (PLRC) [4], constant density recursive convolution (CDRC) [5], and piecewise linear constant density recursive convolution (PLCDRC) [6]. Another alternative approach using the Runge-Kutta exponential time differencing (RKETD) has been successfully developed and implemented in the conventional TLM algorithm to deal with cold and magnetized plasma media in [7] and [8], respectively. Finely, a recent paper by Mounirh et al suggests an elegant formulation using the auxiliary differential equation (ADE) to model chiral media [9].…”

Section: Introductionmentioning

confidence: 99%

Shift Operator-TLM Method for Modeling Gyroelectric Media

Adraoui¹,

Mounirh²,

Yaich³

et al. 2019

PIER M

Self Cite

View full text Add to dashboard Cite

In this paper, an efficient Transmission Line Matrix (TLM) approach based on the shift operator (SO) has been developed to model electromagnetic wave interactions with gyroelectric media. The main idea of this technique is to formulate the electric current density vector components by introducing the equivalence between time differential operator ∂ ∂t and discrete time shift operator z. A concise formulation of voltage sources modeling the frequency dispersive properties of gyroelectric media is then deduced and implemented. Numerical simulations illustrate the Faraday rotation phenomenon in time domain, and in the frequency domain, reflection and transmission coefficients of left hand circular polarization and right-hand circular polarization waves are also calculated. A comparison of SO-TLM scheme with five other approaches according to the criteria of accuracy and CPU time is presented. Numerical experiments show that SO-TLM provides the most accurate and fastest results.

show abstract