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Asymptotic methods for the analysis of wave propagation in nonlinear, lossless transmission lines and equivalent circuits
Author(s) -
Ramos J. I.
Publication year - 1995
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.4650080406
Subject(s) - lossless compression , transmission line , nonlinear system , electronic circuit , perturbation (astronomy) , electric power transmission , mathematical analysis , equivalent circuit , mathematics , physics , electronic engineering , telecommunications , computer science , engineering , electrical engineering , algorithm , voltage , data compression , quantum mechanics
Perturbation methods are employed to determine the small‐signal behavior of an LC‐ladder nonlinear, lossless transmission line. It is shown that a straightforward, regular perturbation analysis results in nonuniformly valid expansions, which can be rendered uniformly valid by stretching the time variable. Perturbation methods are also used to show that, when dispersion effects are accounted for, solitons may propagate along the nonlinear, lossless transmission line. The dispersion characteristics of some equivalent circuits derived from a lossless transmission line are also analyzed. © 1995 John Wiley & Sons. Inc.