Numerical challenges in kinetic simulations of three-wave interactions

Generation of radio bursts in CME foreshock regions and turbulent cascades in the solar wind are assumed to be results of three-wave interaction processes of dispersive plasma modes. Using our Particle in Cell code ACRONYM, we have studied the behaviour of kinetic wavemodes in the presence of beamed electron populations, with a focus on type II radio burst emission processes. We discuss the numerical challenges in generating and analyzing self-consistently evolving wave coupling processes with a PiC-Code and present preliminary results of said project.