Tunneling dynamics in relativistic and nonrelativistic wave equations

The forerunners and the transition to the asymptotic regime of the solution of a relativistic wave equation for a unit-step-function modulated input signal with carrier frequencies below cutoff were described. This extends the investigation carried out previously for the Schrodinger equation, with the bonus that the relativistic equation may be physically implemented in waveguides. While emphasis was on the comparison between the results of the Schrodinger and the relativistic wave equation for a canonical input signal, this paper aims to incorporate to the theory more elements relevant for the waveguide experiments.