Modeling solitary waves on nonlinear transmission lines

1995 ◽  
Vol 42 (1) ◽  
pp. 34-36 ◽  
Author(s):  
J.R. Burger
Keyword(s):  
Solitary Waves ◽  
Transmission Lines ◽  
Nonlinear Transmission Lines ◽  
Nonlinear Transmission

PROPAGATION OF SOLITARY WAVES ON LOSSY NONLINEAR TRANSMISSION LINES

2009 ◽  
Vol 23 (01) ◽  
pp. 1-18 ◽  
Author(s):  
E. KENGNE ◽  
R. VAILLANCOURT
Keyword(s):  
Solitary Waves ◽  
Transmission Lines ◽  
Small Amplitude ◽  
Reductive Perturbation Method ◽  
Ginzburg Landau ◽  
Nonlinear Transmission Lines ◽  
Nonlinear Transmission ◽  
Long Wavelength ◽  
Reductive Perturbation ◽  
Ginzburg Landau Equations

We present a lossy nonlinear transmission RLC line and show how the coupled Ginzburg–Landau equations can be derived in the small amplitude and long wavelength limit using a standard reductive perturbation method and complex expansion. Soliton-like solution of the simplified equation was searched and the instability of a class of phase-winding solutions was explored.

scholarly journals Modulation of Pulse Train Using Leapfrogging Pulses Developed in Unbalanced Coupled Nonlinear Transmission Lines

2018 ◽  
Vol 2018 ◽  
pp. 1-7 ◽  
Author(s):  
Koichi Narahara
Keyword(s):  
Solitary Waves ◽  
Transmission Lines ◽  
Pulse Train ◽  
Characteristic Impedance ◽  
Nonlinear Transmission Lines ◽  
Nonlinear Transmission ◽  
Resonant Interactions ◽  
The Difference ◽  
Nonlinear Solitary Waves ◽  
Leapfrogging Pulses

The leapfrogging pulses in two unbalanced electrical nonlinear transmission lines (NLTLs) with capacitive couplings are investigated for efficient modulation of a pulse train. Due to the resonant interactions, the nonlinear solitary waves in the NLTLs exhibit complementary behaviors of amplitudes and phases called leapfrogging. For maximizing resonance, both solitary waves should have a common average velocity. Sharing the common velocity, the characteristic impedance can still be freely designed for two coupled solitary waves. In this study, we characterize the leapfrogging pulses developed in unbalanced NLTLs having distinct characteristic impedance. Through the soliton perturbation theory and numerical time-domain calculations, it is found that both the leapfrogging frequency and the voltage variations of pulse amplitudes increase as the difference in the characteristic impedance becomes large. These properties can improve the on/off ratio of modulated pulse train.

Weakly Two-Dimensional Solitary Waves on Coupled Nonlinear Transmission Lines

2002 ◽  
Vol 19 (9) ◽  
pp. 1231-1233 ◽  
Author(s):  
Duan Wen-Shan ◽  
Hong Xue-Ren ◽  
Shi Yu-Ren ◽  
Lu Ke-Pu ◽  
Sun Jian-An
Keyword(s):  
Solitary Waves ◽  
Transmission Lines ◽  
Two Dimensional ◽  
Nonlinear Transmission Lines ◽  
Nonlinear Transmission

Picosecond Optical Switching Using RF Nonlinear Transmission Lines

2011 ◽  
Vol 29 (5) ◽  
pp. 666-669 ◽  
Author(s):  
David M. S. Johnson ◽  
Jason M. Hogan ◽  
Sheng-Way Chiow ◽  
Mark A. Kasevich
Keyword(s):  
Transmission Lines ◽  
Optical Switching ◽  
Nonlinear Transmission Lines ◽  
Nonlinear Transmission

scholarly journals Management of localized energy in discrete nonlinear transmission lines

2007 ◽  
Vol 80 (3) ◽  
pp. 30002 ◽  
Author(s):  
M. Sato ◽  
S. Yasui ◽  
M. Kimura ◽  
T. Hikihara ◽  
A. J. Sievers
Keyword(s):  
Transmission Lines ◽  
Nonlinear Transmission Lines ◽  
Nonlinear Transmission
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