An explicit multi-exponential model for semiconductor junctions with series and shunt resistances

Abstract

An alternative explicit multi-exponential model is proposed to describe multiple, arbitrary ideality factor, conduction mechanisms in semiconductor junctions with parasitic series and shunt resistances. This Lambert function based model allows the terminal current to be expressed as an explicit analytical function of the applied terminal voltage, in contrast to the implicit-type conventional multi-exponential model. As a result this model inherently offers a higher computational efficiency than conventional models, making it better suited for repetitive simulation and parameter extraction applications. Its explicit nature also allows direct analytic differentiation and integration. The model’s applicability has been assessed by parameter extraction and subsequent playback using synthetic and experimental diode forward I–V characteristics.