On inverse doping profile problems for the stationary voltage-current map

A. Leit̃o*, P. A. Markowich, J. P. Zubelli

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

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 PDEs derived directly from the drift diffusion equations. The related inverse problem corresponds to an inverse conductivity problem with partial data. The identification issue for this inverse problem is considered. In particular, for a discretized version of the problem, we derive a result connected to diffusion tomography theory. A numerical approach for the identification problem using level set methods is presented. Our method is compared with previous results in the literature, where Landweber-Kaczmarz-type methods were used to solve a similar problem.

Original languageEnglish (US)
Pages (from-to)1071-1088
Number of pages18
JournalInverse Problems
Volume22
Issue number3
DOIs
StatePublished - Jun 1 2006
Externally publishedYes

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Signal Processing
  • Mathematical Physics
  • Computer Science Applications
  • Applied Mathematics

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