Waves Amplification in Nonlinear Transmission Lines Using Negative Nonlinear Resistances

Abstract

The attenuation of waves is due to dissipative effects of the medium in which they travel. We study waves amplification in a nonlinear transmission line by doping the line with negative nonlinear resistance. Modifying the cells of the line with this resistance, the propagation of waves is governed by a perturbed Korteveg–de Vries (KdV) equation. Analytical results and numerical simulation show that the attenuated wave recovers its amplitude on a short distance of the doped domain. It is also shown that the wave conserves its pulse form when crossing the amplification domain.