A novel method describing the space charge limited region in a planar diode

A novel and rather simple method is presented to describe the physics of space-charge region in a planar diode. The method deals with the issue in the time domain and as a consequence transient time behavior can be achieved. Potential distributions and currents obtained using this technique, supposing zero initial velocity for electrons, reveal absolute agreement with Child’s results. Moreover, applying the method for non-zero uniform initial velocity for electrons, gives results which are in good agreement with previous works.