RC transmission line with nonlinear resistance: Large-signal response computation

Popov, Victor B.; Bickart, Theodore A.

doi:10.1109/tcs.1974.1083923

Cited by 9 publications

(2 citation statements)

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“…[ 9–13 ] They can be successfully used to simulate the characteristics of some active micro‐circuit elements, in particular, the field‐effect transistors (FET). [ 14,15 ] NLTNs can sharpen pulses to less than 100 GHz and serve as a solid state radiofrequency (RF) source. [ 16,17 ] In the biomedical engineering, the RLC networks are used as an approximation of the nonlinear conservation law for blood flow in biological tissues.…”

Section: Introductionmentioning

confidence: 99%

Phase Engineering Chirped Super Rogue Waves in a Nonlinear Transmission Network with Dispersive Elements

Kengne

Liu

2021

Advcd Theory and Sims

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A discrete nonlinear transmission network with dispersive element is considered. It is shown that the dynamics of slowly modulated waves propagating in this network are governed by a generalized cubic‐quintic nonlinear Schrödinger equation with self‐steepening and self‐frequency shift. Through the baseband modulational instability (MI) analysis, the conditions for this network to support the propagation of chirped super rogue waves (SRWs) are obtained. Based on the analytical rational solutions of the governed equation, chirped first‐ and second‐order super rogue waves are engineered in the nonlinear transmission network under consideration. The effects of the dispersive elements of the network on the chirped SRWs propagating in the network system are investigated. Particularly, it is shown that the introduction of the dispersive linear capacitance of the network enhances the baseband MI and both the derived SRWs and the corresponding frequency chirp are localized in both time and space. It is also shown that the structure of the frequency chirp depends strongly on the pulse self‐steepening and self‐frequency shift.

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Section: Introductionmentioning

confidence: 99%

Phase Engineering Chirped Super Rogue Waves in a Nonlinear Transmission Network with Dispersive Elements

Kengne

Liu

2021

Advcd Theory and Sims

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“…Because of its wide significance in a great variety of physical systems, the propagation of modulated waves has been the subject of considerable interest for many years, as, for example, in nonlinear optics [1][2][3][4][5]. On the other hand, discrete electrical transmission lines are very convenient tools to study the wave propagation in one-dimensional (1D) nonlinear dispersive media [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. They have been applied to the study of thin-film and diffusion resistors, capacitors, and conductors and to the evaluation of undesirable interaction between different components of integrated circuits; moreover, discrete electrical transmission lines can be successfully used to simulate the characteristics of some active microcircuit elements, in particular, the field-effect transistors [6,7].…”

Section: Introductionmentioning

confidence: 99%

Dynamics of modulated waves in a lossy modified Noguchi electrical transmission line

2015

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We study analytically the dynamics of modulated waves in a dissipative modified Noguchi nonlinear electrical network. In the continuum limit, we use the reductive perturbation method in the semidiscrete limit to establish that the propagation of modulated waves in the network is governed by a dissipative nonlinear Schrödinger (NLS) equation. Motivated with a solitary wave type of solution to the NLS equation, we use both the direct method and the Weierstrass's elliptic function method to present classes of bright, kink, and dark solitary wavelike solutions to the dissipative NLS equation of the network. Through the exact solitary wavelike solutions to the dissipative NLS equation, we investigate the effects of the dissipative elements of the network on wave propagation. We show that the wave amplitude decreases and its width increases when the dissipative element of the network increases. It has been also found that the dissipative element of the network can be used to manipulate the motion of solitary waves through the network. This work presents a good analytical approach of investigating the propagation of solitary waves through discrete electrical transmission lines and is very important for studying modulational instability.

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Modeling

Agajanian¹

1976

Semiconducting Devices

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RC transmission line with nonlinear resistance: Large-signal response computation

Cited by 9 publications

References 2 publications

Phase Engineering Chirped Super Rogue Waves in a Nonlinear Transmission Network with Dispersive Elements

Phase Engineering Chirped Super Rogue Waves in a Nonlinear Transmission Network with Dispersive Elements

Dynamics of modulated waves in a lossy modified Noguchi electrical transmission line

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