Novel CDRC-TLM algorithm for the analysis of magnetized plasma

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

doi:10.1016/j.ijleo.2013.06.049

Cited by 6 publications

(7 citation statements)

References 6 publications

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“…In this part, we will conduct a comparative study of the SO-TLM algorithm with five other techniques incorporated to the TLM method and presented in the literature: namely the method of the Constant Recursive Constant (CRC) [11], Piecewise Linear Recursive Convolution (PLRC) [12], Current Density Recursive Convolution (CDRC) also named (JEC) [5], Runge-Kutta Exponential Time Differencing (RKETD) [8], and Auxiliary Differential Equation (ADE) [9].…”

Section: Comparative Studymentioning

confidence: 99%

“…Yagli et al also modeled gyrotropic materials using the same technique [2]. 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.…”

Section: Introductionmentioning

confidence: 99%

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Shift Operator-TLM Method for Modeling Gyroelectric Media

Adraoui¹,

Mounirh²,

Yaich³

et al. 2019

PIER M

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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.

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Section: Comparative Studymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Shift Operator-TLM Method for Modeling Gyroelectric Media

Adraoui¹,

Mounirh²,

Yaich³

et al. 2019

PIER M

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“…In recent years, we report a many TLM-based approaches for the analysis of a dispersive medium. We find that : the use of equations characterizing the conductive medium in terms of equivalent node sources [14], the use of Constant Recursive Convolution (CRC) [15], which was later improved to the Current Density Recursive Convolution (CDRC-TLM) technique [16], and the Piecewise Linear Current Density Recursive Convolution (PLCDRC-TLM) technique [17] ,which are applied to magnetized plasma, the application of the Z-transform approach [18] to characterize the electric properties of the dispersive media, and the other technique includes the JE-TLM with voltage sources [19] which is applied to model isotropic plasma.…”

Section: Introductionmentioning

confidence: 99%

The New ADE-TLM Algorithm for Modeling Debye Medium

El ouardy,

El Faylali

2023

Int. j. electr. comput. eng. syst. (Online)

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In this paper, we present a novel approach to simulating the interaction between electromagnetic waves and a Debye medium utilizing a Transmission Line Matrix (TLM) algorithm with the symmetrical condensed node (SCN-TLM) technique. The proposed method utilizes the polarization current within the media and incorporates the auxiliary differential equation (ADE) technique to handle scattering following the conventional discretization process. The averaged approximation is employed to utilize the polarization current density J and the electric voltage. By reducing the number of operations required per iteration, the New ADE- TLM method has successfully decreased the computational time compared to time convolution techniques. Despite this reduction in computational time, the New ADE-TLM method maintains a numerical accuracy that is comparable to that of time convolution techniques. The efficiency and precision of this approach are confirmed by the agreement between the results obtained and those predicted by the analytic model.

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“…Over the last decade, there have been numerous studies on TLM dispersive medium formulations. The methods employed include: the current density recursive convolution (CDRC) method [3], piecewise linear recursive convolution (PLRC) method [4], (CRC) with voltage and current sources [5], and JE convolution (JEC) with voltage sources method [6]. Another technique derived from the TLM is the PLCDRC-TLM method [7].…”

Section: Introductionmentioning

confidence: 99%

New TLM Formulation for Modeling Epstein Plasma

Ekdiha¹,

Mounirh²,

Khalladi³

et al. 2019

PIER Letters

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In plasma physics, the interaction with electromagnetic waves is related to the electrons contained in plasma. To analyze this interaction, the behaviour of electrons contained must be understood and modeled. In this paper, a new TLM formulation for dispersive media called the exponential time differencing (ETD) transmission line matrix (TLM) technique is introduced to model the interaction with dispersive media. To verify the high accuracy and efficiency of this method, the reflection and transmission coefficients of electromagnetic wave through a non-magnetized collisional plasma slab are computed and compared to the analytical solution. The electron density in plasma can be distributed as a Epstein formula, and its distribution as a function of the grads coefficient σ, and the effect of this parameter and the electron collision frequency υ c on the reflection coefficient is calculated. The results show that with different values of σ and υ c , the reflection coefficient is affected and can be reduced.

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Novel CDRC-TLM algorithm for the analysis of magnetized plasma

Cited by 6 publications

References 6 publications

Shift Operator-TLM Method for Modeling Gyroelectric Media

Shift Operator-TLM Method for Modeling Gyroelectric Media

The New ADE-TLM Algorithm for Modeling Debye Medium

New TLM Formulation for Modeling Epstein Plasma

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