Modulation of pulse train using leapfrogging pulses developed in unbalanced coupled nonlinear transmission lines
type: Item
instance of: scholarly article
title: Modulation of pulse train using leapfrogging pulses developed in unbalanced coupled nonlinear transmission lines
zbMATH Open document ID: 1426.94076
DOI: 10.1155/2018/2869731
author: Koichi Narahara
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 94A14
Mathematics Subject Classification ID: 94A12
zbMATH DE Number: 7018718
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/2869731
OpenAlex ID: W2789167957
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description: scientific article; zbMATH DE number 7018718