Analysis of the formation and interaction of solitons in nonlinear transmission lines by means of a harmonic balance technique

A harmonic balance technique is used to study the formation and interaction of solitons in discrete, lossless, nonlinear transmission lines as a function of the number of harmonics, number of LC-cells, and pulse height and width at the generator. It is shown that the number of harmonics required to accurately determine the soliton formation and propagation increases as the generator´s fundamental frequency is decreased, and that about 500 LC-cells are needed to observe the propagation and interaction of solitons. It is also shown that, for the calculations presented, the transmission line is almost perfectly adapted. A Taylor series expansion was used to determine the continuous analog of the discrete transmission line presented