The decametric radio emissions from Jupiter are known to be influenced by the Galilean satellite Io. It is believed that the structure in these emissions is associated with the Alfven-wave wake downstream of Io. However, recent studies have shown that the structure of the wake cannot be as simple as originally thought. Here we present preliminary results from an eigenmode synthesis of the Alfven waves launched by Io, and find that several important periodicities emerge. Observations of the decametric emissions reveal fine, medium-and large-scale structure. The simulation we present here can provide structure on each of these scales, unlike earlier models. (author).