Simulation of nonlinear transmission lines by wave digital filter principles

Abstract

It is shown that the lumped-circuit model of a nonlinear transmission line can be simulated using WD (wave digital) filter principles. Solitons which are eigenfunctions of the nonlinear transmission line are observed. The WD circuit simulation confirms that: the velocity of a soliton impulse depends on its amplitudes; the magnetic energy is always greater than the electric energy for a single traveling soliton impulse; the magnetic energy vanishes and is converted to the electric energy at the point of head-on collision; there is no energy exchange for the overtaking collision; and the impulses which pass through one another do not lose their identities.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>