Pulse propagation in nano-scale devices

We consider the analytically solvable problem of a Gaussian pulse which is tunneling through a transmission resonance with a Breit–Wigner characteristic. The solution allows for the identification of two opposite pulse propagation regimes: if the resonance is broad compared to the energetic width of the incident pulse a weakly disturbed transmitted pulse is found. In the opposite limit the transmitted wave is dominated by a decaying state. A small second component, which also exists in the transmitted wave leads to characteristic interference oscillations.