On the generation of electrical compact pulses: theory and simulations

Abstract

In this work, a self-sustained generator of pulse signal voltages with compact shape is introduced and investigated. It consists of a coupling between the modified Colpitts oscillator (MCO) and a nonlinear electrical transmission line (NLTL) with the appropriated inter-site nonlinearities, exhibiting pulse signal voltages with compact shape, with interesting properties compared to those of pulse solitons. From the state equations governing the dynamics of the MCO part, and through the bifurcation diagram, we have first shown that the system may exhibit an harmonic solution, in certain domain of the control parameter, useful for exciting the NLTL part. In the parameter where the MCO experiences harmonic oscillations, the conditions for a synchronized dynamics of the two main parts of the device are established. Within these conditions, the system generates a train of compact voltage pulse signals. The generator performances namely the pulse width, the repetition rate and the period of pulse repetition rate are derived analytically, and the results indicate their dependence on the characteristic parameters of the circuit. The results of numerical and Pspice simulations have confirmed the accuracy of the analytical investigations and the capacity of the circuit to work as a generator of these compact pulse signal voltages.