Investigation of Wave Propagation in a Nonlinear Dispersive Transmission Line

Abstract

Nonlinear wave propagation in a nonlinear dispersive LC transmission line with linear inductance and nonlinear capacitance (vericap diode) is investigated. Dispersion in the line is introduced by second nearest neighbor interaction and contorlled by reverse bias voltage. Waves at tehe region of group velovity despersion are seen to be modulationally unstable and tihs leads to chaos wiht increase of wave amplitude. Emergence of chaos is investigated by Fourier and time-domain analyses, and via numerical simulations.