An improved presentation of the potential profile in linearly graded p-n junctions

The potential profiles in linearly graded p-n junctions are presented in a novel more concise way. New transformations are introduced for both spatial coordinate ("distance") and potential. The distance normalization is achieved by the introduction of a new scaling length resulting in an improved presentation of potential profiles that, unlike previous treatments, can be shown on a single graph for a wide range of doping gradients. A transformation in the potential, normalized in terms of the doping gradient parameter, leads to an even more concise representation with the advantage of unity slope curves near the origin for all doping gradients.