Modeling of Dispersive Chiral Media Using the Ade-TLM Method

Mounirh, Khalid; Adraoui, Soufiane El; Ekdiha, Yasser; Yaich, M. Iben; Khalladi, Mohsine

doi:10.2528/pierm17110103

Cited by 11 publications

(12 citation statements)

References 26 publications

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“…Z 0 is the impedance of free space. Note that electrical dispersive phenomena of gyrotropic media are modeled by open circuit capacitive stubs with a normalized characteristic impedanceŶ u = 4(ε ∞ − 4) and voltage sources [9] expressed respectively in X, Y , and Z directions as:…”

Section: Governing Equationsmentioning

confidence: 99%

“…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%

“…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%

See 2 more Smart Citations

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: Governing Equationsmentioning

confidence: 99%

Section: Comparative Studymentioning

confidence: 99%

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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“…By following the same procedure written in the ADE-TLM [12] approach, we obtain a null value of the admittance of the stubs, which reduces the expressions of the total voltages and becomes: ⎛…”

Section: Formulations and Equationsmentioning

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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“…The use of an ADE algorithm in TLM method has been proven efficient for dispersive media [12]. To the best of our knowledge, this technique has not been used before to solve the fractional derivative problem in the TLM method.…”

Section: Introductionmentioning

confidence: 99%

An Ade-TLM Modeling of Biological Tissues With Cole-Cole Dispersion Model

Kanjaa¹,

Mounirh²,

Adraoui³

et al. 2020

PIER M

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In this paper, an auxiliary differential equation (ADE) transmission line method (TLM) is proposed for broadband modeling of electromagnetic (EM) wave propagation in biological tissues with the Cole-Cole dispersion Model. The fractional derivative problem is surmounted by assuming a linear behavior of the polarization current when the time discretization is short enough. The polarization current density is approached using Lagrange extrapolation polynomial, and the fractional derivation is obtained according to Riemann definition of a fractional α-order derivative. Reflection coefficients at an air/muscle and air/fat tissues interfaces simulated in a 1-D domain are found in good agreement with those obtained from the analytic model over a broad frequency range, demonstrating the validity of the proposed approach.

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Modeling of Dispersive Chiral Media Using the Ade-TLM Method

Cited by 11 publications

References 26 publications

Shift Operator-TLM Method for Modeling Gyroelectric Media

Shift Operator-TLM Method for Modeling Gyroelectric Media

New TLM Formulation for Modeling Epstein Plasma

An Ade-TLM Modeling of Biological Tissues With Cole-Cole Dispersion Model

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