Transmission through graded interfaces in the displacement operator method

Abstract

The transmittivity of a graded heterojunction within the displacement operator framework is studied using the transfer matrix approach. Transmission resonances are observed to be enhanced by large interface widths. The parameter γ, generator of non-additive translations is observed to orchestrate regimes of enhanced and suppressed transmission.To determine the transmission probability, we consider that the transmitted current is proportional to the difference between the incident and reflected currents. i.e. J J J J