An Unsplit Formulation of the 3D-PML Absorbing Boundary Conditions for TLM-Method in Time Domain

Yaich, M. Iben; Kanjaa, Mohammed; Adraoui, Soufiane El; Mounirh, Khalid; Khalladi, Mohsine

doi:10.1109/icmcs.2018.8525892

Cited by 3 publications

(6 citation statements)

References 25 publications

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“…The cell dimension Δl satisfies the stability condition Δt ¼ Δl=2c, the time step is set as Δt ¼ 0:125ps. The simulation domain is truncated by an unsplit PML layer [21] of 10 cells at the beginning and the end. The fourth order Cole-Cole parameters for fat tissue as well as for muscle tissue are listed in Table 1 [9].…”

Section: Simulation and Resultsmentioning

confidence: 99%

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A TLM Formulation Based on Fractional Derivatives for Dispersive Cole-Cole Media

Kanjaa¹,

Mrabet²,

Khalladi³

2022

Electromagnetic Wave Propagation for Industry and Biomedical Applications

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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 to be 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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Section: Simulation and Resultsmentioning

confidence: 99%

“…x,y,z (21) where Y ocx,y,z indicates the normalized admittance of the open circuit stub added to the node.…”

Section: The Tlm Formalismementioning

confidence: 99%

A TLM Formulation Based on Fractional Derivatives for Dispersive Cole-Cole Media

Kanjaa¹,

Mrabet²,

Khalladi³

2022

Electromagnetic Wave Propagation for Industry and Biomedical Applications

Self Cite

View full text Add to dashboard Cite

show abstract

“…The cell dimension Δl satisfies the stability condition Δt = Δl/2c, and the time step is set as Δt = 0.125 ps. The simulation domain is truncated by an unsplit PML layer [22] of 10 cells at the beginning and the end. The fourth order Cole-Cole parameters for fat tissue as well as muscle tissue are listed in Table 1 [9].…”

Section: Simulation and Resultsmentioning

confidence: 99%

“…x,y,z (22) where Y ocx,y,z indicates the normalized admittance of the open circuit stub added to the node.…”

Section: The Tlm Formalismmentioning

confidence: 99%

See 1 more Smart Citation

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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ADE-TLM Algorithm for Modeling Wave Propagation in Biological Tissues with Debye Dispersion

Kanjaa

Mrabet

Adraoui

et al. 2020

AEM

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In this paper we present a Transmission Line Matrix (TLM) algorithm for the simulation of electromagnetic wave interaction with a Debye dispersive medium. This new formulation is based on the use of the polarization currents in the medium. The auxiliary differential equation (ADE) method is considered to deal with dispersion after the classical discretization. The accuracy and efficiency of this approach were tested on 1D Debye medium by calculating the reflection coefficient on an air-dielectric interface. The potential of the developed algorithm to model the existence of tumors in a human breast is also demonstrated. The obtained results compared with the analytic model show a good agreement. The number of operations needed for each iteration has been reduced, hence the computational time in comparison with time convolution techniques, while maintaining a comparable numerical accuracy.

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An Unsplit Formulation of the 3D-PML Absorbing Boundary Conditions for TLM-Method in Time Domain

Cited by 3 publications

References 25 publications

A TLM Formulation Based on Fractional Derivatives for Dispersive Cole-Cole Media

A TLM Formulation Based on Fractional Derivatives for Dispersive Cole-Cole Media

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

ADE-TLM Algorithm for Modeling Wave Propagation in Biological Tissues with Debye Dispersion

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