Theoretical transient currents from two-component bipolar space-charge swarms in media

Using an arbitrary initial space-charge distribution consisting of two bipolar species of charge carriers of different but constant mobilities in a medium, relations for the electric fields and charge-carrier densities, are derived as functions of position and time. The highly nonlinear, one-dimensional equations, which are derived for swarms of charge carriers between parallel plane electrodes, include the effects of the space-charge fields. A general method is outlined which, in principle, can be used to generate second-order differential equations whose solutions predict the time-dependent current caused by the drifting bipolar space-charge swarm. A specific differential equation is derived for initial charge distributions in dielectric media which could be produced by a pulse of ionizing radiation of uniform intensity.