Transport, Tunneling, and Trajectories: Modeling Emission From Surfaces With Structure

The manner by which photo-assisted field-emitted electrons are generated, the impact of delays associated with transport to the surface, emission through and over emission barriers, and the time scales associated with accompanying tunneling / fly-over processes is complicated by conditions associated with emission from realistic surfaces. Recently studies treating transport to and emission past non-linear and resonant/reflectionless potentials motivate consideration of analytic models to be used to assess and compare characteristic time scales associated with transport to the surface, emission over and through surface wells and barriers (heterostructures), and tunneling. The formulation allows for an investigation of time-dependent effects for a class of analytically solvable models. The methods are intended to be useful for the investigation of tunneling and transmission associated with field and photoemission at short time scales.