  Resonant transmission occurs when constructive interference results in the
complete passage of an incoming wave through an array of barriers. In this
paper we explore such a scenario with one dimensional models. We adopt wave
packets with finite width to illustrate the deterioration of resonance with
decreasing wave packet width, and suggest an approximate wave function for the
transmitted and reflected components, derived from aspects of both the wave
packet and plane wave approaches. A comparison with exact numerical
calculations shows excellent agreement, and provides insight into the
scattering process.
