2020
DOI: 10.1016/j.ijleo.2020.164436
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New TLM formulations for Debye medium

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Cited by 4 publications
(5 citation statements)
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“…As a result, the (3) to ( 8) can be transformed into 1D where, (∆x = ∆y = 0). The E x /H y mode is represented by (10) and (11), the E y /H x mode is also represented by the ( 9) and (12). Both modes propagate independently in the dielectric medium and have the same behaviour regarding the medium of propagation.…”
Section: Research Methods 21 Governing Equationsmentioning
confidence: 99%
See 1 more Smart Citation
“…As a result, the (3) to ( 8) can be transformed into 1D where, (∆x = ∆y = 0). The E x /H y mode is represented by (10) and (11), the E y /H x mode is also represented by the ( 9) and (12). Both modes propagate independently in the dielectric medium and have the same behaviour regarding the medium of propagation.…”
Section: Research Methods 21 Governing Equationsmentioning
confidence: 99%
“…FDTD is used to model GPR in interaction with anisotropic and dispersive media [8]. On the other hand, several researchers use the TLM method to describe and analyze the behavior of electromagnetic waves, in Lorentz medium [9] by adapting the auxiliary differential equation for TLM method, and the use of the Debye medium through the use of exponential time difference scheme [10]. A high-order discontinuous Galerkin time domain method is used in two dimensional problem to solve Maxwell's equations using a perfectly matched layer (PML) absorbing boundary conditions to absorb the wave in boundaries [11].…”
Section: Introductionmentioning
confidence: 99%
“…The complex relative permittivity is approximated by the Debye dispersive model with 4‐poles in the frequency domain, 26 which is given by εnormalrω=ε+false∑k=14εnormalsε1+jitalicωτnormalk=ε+false∑k=14Δεnormalk1+jitalicωτnormalk where ε ∞ is the infinite‐frequency relative permittivity of the medium, ε s is the static relative permittivity, ∆ε k is the k th change in relative permittivity, and τ k is the k th Debye relaxation time.…”
Section: Fundamental Description Of the Methodsmentioning
confidence: 99%
“…The complex relative permittivity is approximated by the Debye dispersive model with 4-poles in the frequency domain, 26 which is given by…”
Section: Ade Fdtd Equations For Dispersive Mediamentioning
confidence: 99%
“…Measurements of polarization of laser beams and femtosecond-laser pulse width are applicable for different tasks of optical coding and data processing, and possibly these papers will encourage somebody for new experiments in optics and laser systems supported by specialized data processing toolkit. Also one more intense data processing paper "A New ADE-TLM for Lorentz Dispersive Medium" by Abdellah Attalhaoui, Hamid Bezzout, Mohamed Habibi, and Hanan El Faylali [8] in the special section refers to the further evolution in numerical solution of Maxwell's equations in dispersive medium, namely, for auxiliary differential equation method in transmission line modeling. One can hope that this will help to obtain more productive calculations of waveguide components for multiplexing and switching devices for fiber networks.…”
Section: Introduction To the Special Section "Lasers Communicationsmentioning
confidence: 99%