Preprint A410/2005
On Inverse Doping Profile Problems for the Voltage-Current Map.

Jorge Zubelli | LeitÃ£o, Antonio | Markowich, Peter

**Keywords: **
Inverse Problems | semiconductor | nanotechnologies | voltage current map

We consider the problem of identifying possibly discontinuous doping profiles in semiconductor devices from data obtained by stationary voltage-current maps. In particular we focus on the so-called unipolar case, a system of PDE's derived directly from the drift diffusion equations. The related inverse problem corresponds to an inverse conductivity problem with partial data. Two distinct approaches for solving the identification problem are presented: a Landweber-Kaczmarz method and a level set type method. Numerical implementations of both methods show the different effectiveness of these approaches.