Analytical modeling of electrical solitons in a nonlinear transmission line using Schamel–Korteweg deVries equation

Aziz, Farah; Asif, Ali; Bint-e-Munir, Fatima

doi:10.1016/j.chaos.2020.109737

Cited by 14 publications

(4 citation statements)

References 30 publications

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“…Attributable to their event in different physical environments, going from astrophysical plasmas (see [22,23] and references therein) and fluids [24] to semiconductors [25][26][27][28][29] and nonlinear optics [30][31][32], solitons have proved to be beneficial items for scientific examination. Moreover, they can be generated in laboratories, for example, in double-plasma devices [33,34] and nonlinear transmission lines [35]. Washimi and Taniuti [36] were the pioneers who investigated the propagation of electrostatic solitary waves in plasmas by deriving the Korteweg-de Vries (KdV) equation [37] for ion-acoustic waves in a nonlinear system using the notable reductive perturbation technique [38,39].…”

Section: Introductionmentioning

confidence: 99%

Ion transit effects on sheath dynamics in the intermediate radio-frequency regime: excitations of ion-acoustic waves and solitons

Shihab

Elbadawy

El-Siragy

et al. 2022

Plasma Sources Sci. Technol.

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The capacitively coupled plasma is investigated kinetically utilizing the particle- in-cell technique. The Argon (Ar) plasma is generated via two radio-frequencies. The plasma bulk density increases by increasing the voltage amplitude of the high frequency (≥ 13.56 MHz) which is much greater than the ion plasma frequency. The intermediate radio-frequencies ( ≈ 1 MHz) which are comparable to the ion plasma frequency causes a broadening of the ion energy distribution considerably, i.e., ions gain energies above and lower than the time-averaged energy. The good agreement between published experimental results and our theoretical calculations via the Ensemble- in-Spacetime model confirms the modulation of ions around time-averaged values. Intermediate frequencies allow ions to respond partially to the instantaneous electric field. The response of ions to the instantaneous electric field is investigated semi- analytically. The dispersion relation of the plasma sheath and bulk are derived. Stable ion acoustic modes are found. The ion-acoustic modes have two different velocities and carry energy from the sheath edge to the electrode. Also, intermediate frequencies excite solitons in the plasma sheath; the results may help to explain the ion density, flux, and energy modulation, and, consequently, the broadening of the ion energy distribution.

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Section: Introductionmentioning

confidence: 99%

Ion transit effects on sheath dynamics in the intermediate radio-frequency regime: excitations of ion-acoustic waves and solitons

Shihab

Elbadawy

El-Siragy

et al. 2022

Plasma Sources Sci. Technol.

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“…Soliton production in systems used in fiber optic studies is done with nonlinear optical elements (Hasegawa and Tappert ,1973). Soliton waves produced by electrical soliton systems are implemented using nonlinear transmission lines and nonlinear electronic elements (Ricketts et al,2006;Yildirim et al,2009;Yildirim and Ham,2014;Aziz et al,2020). A self-starting nonlinear circuit is designed using ambient noise to generate a soliton pulse.…”

Section: Introductionmentioning

confidence: 99%

Soliton Wave Generation on Nonlinear Transmission Lines Using a Particle Swarm Optimization (Pso) Algorithm

AKSOY¹,

Yenikaya²

2022

Uludağ University Journal of the Faculty of Engineering

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In this article, analysis, designing, and generation of soliton waves are performed using nonlinear transmission lines (NLTLs). As a result of performing mathematical analysis processes, circuit parameters and values are determined. A particle swarm optimization (PSO) algorithm is used to determine the parameters and their values. The parameters obtained from the optimization are used to design a nonlinear transmission line. The circuit designed over the determined parameters is simulated with the LTspice program. Then, experiments of the created circuit design are carried out. The simulation data and the experimental implementation data are compared for the nonlinear transmission line circuit. Simulation and experiment results are found to be compatible.

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“…The first one uses a ladder network of repeating lumped inductors and capacitors, where the inductors or capacitors are nonlinear in their response to current or voltage, respectively [1][2][3]. For experimental research, this implementation of the equivalent NLTL circuit is most common in which special diodes (varactors or Schottky diodes) are used as nonlinear capacitors placed in shunt form [4]. The second one, more difficult to implement, realizes the NLTL by using a periodically loaded traditional transmission line with lumped varactors [2].…”

Section: Introductionmentioning

confidence: 99%

Soliton Waves in Lossy Nonlinear Transmission Lines at Microwave Frequencies: Analytical, Numerical and Experimental Studies

et al. 2021

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In this paper, we performed analytical, numerical and experimental studies on the generation of soliton waves in discrete nonlinear transmission lines (NLTL) with varactors, as well as the analysis of the losses impact on the propagation of these waves. Using the reductive perturbation method, we derived a nonlinear Schrödinger (NLS) equation with a loss term and determined an analytical expression that completely describes the bright soliton profile. Our theoretical analysis predicts the carrier wave frequency threshold above which a formation of bright solitons can be observed. We also performed numerical simulations to confirm our analytical results and we analyzed the space–time evolution of the soliton waves. A good agreement between analytical and numerical findings was obtained. An experimental prototype of the lossy NLTL, built at the discrete level, was used to validate our proposed model. The experimental shape of the envelope solitons is well fitted by the theoretical waveforms, which take into account the amplitude damping due to the losses in commercially available varactors and inductors used in a prototype. Experimentally observed changes in soliton amplitude and half–maximum width during the propagation along lossy NLTL are in good accordance with the proposed model defined by NLS equation with loss term.

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Analytical modeling of electrical solitons in a nonlinear transmission line using Schamel–Korteweg deVries equation

Cited by 14 publications

References 30 publications

Ion transit effects on sheath dynamics in the intermediate radio-frequency regime: excitations of ion-acoustic waves and solitons

Ion transit effects on sheath dynamics in the intermediate radio-frequency regime: excitations of ion-acoustic waves and solitons

Soliton Wave Generation on Nonlinear Transmission Lines Using a Particle Swarm Optimization (Pso) Algorithm

Soliton Waves in Lossy Nonlinear Transmission Lines at Microwave Frequencies: Analytical, Numerical and Experimental Studies

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