The electrical simulation of pulse sharpening by dynamic lines

Simulation Studies of Distributed Nonlinear Gyromagnetic Lines Based on <italic>LC</italic> Lumped Model

“…Several years after Katayev's publication [11], Weiner and Silber [12] described a simplified theory of sharpening based on Katayev's explanations. Later in 1991, Pouladian-Kari et al [9] used an inductive nonlinear discrete transmission line LC to model distributed gyromagnetic lines. This model was used to calculate the output rise time reduction of the compressed pulse caused by the decrease in the permeability of the line.…”

“…This model was used to calculate the output rise time reduction of the compressed pulse caused by the decrease in the permeability of the line. Pouladian-Kari et al [9] also developed a frequency-enhanced model and compared it with Katayev's [11] and Weiner and Silber's [12] models to obtain an improved model for predicting the output pulse rise time compression in a loaded coaxial transmission line, as seen in Fig. 2.…”

“…The main difference between Pouladian-Kari et al's [9] and Weiner and Silber's [12] models is that in the latter RLC branches are added in parallel with the line capacitance of the LC ladder model (see Fig. 4) to include the ferrite precession caused by the presence of the magnetic axial bias in this case.…”

“…As pointed out by Dolan and Bolton [13], the model proposed by Pouladian-Kari et al [9] is not complete, since the So far, the best way to simulate these lines was through the method proposed by Dolan and Bolton [13], since they used this model to simulate the output response of a line with azimuthal and also with axial bias. In this model, they used an equivalent circuit based on the elements of a discrete LC transmission line in series with instantaneous voltage sources (see Fig.…”

“…The focus of this paper is on gyromagnetic lines since these lines are capable of generating stronger pulse oscillations at higher frequencies than the first configuration, and have higher RF conversion efficiency. Another advantage of the gyromagnetic lines in relation to the dispersive dielectric NLTLs is the stronger nonlinearity of the ferrite-based inductance compared with the nonlinearity of the nonlinear ceramic capacitance [9].…”