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Reconstruction of the doping profile in Vlasov-Poisson system

Research output: Contribution to journalArticlepeer-review

Abstract

We study the inverse problem of recovering the doping profile in the stationary Vlasov-Poisson equation, given the knowledge of the incoming and outgoing measurements at the boundary of the domain. This problem arises from identifying impurities in the semiconductor manufacturing. Our result states that, under suitable assumptions, the doping profile can be uniquely determined through an asymptotic formula of the electric field that it generates.

Original languageEnglish (US)
Article number115004
JournalInverse Problems
Volume40
Issue number11
DOIs
StatePublished - Nov 2024

Bibliographical note

Publisher Copyright:
© 2024 The Author(s). Published by IOP Publishing Ltd.

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

  1. SDG 9 - Industry, Innovation, and Infrastructure
    SDG 9 Industry, Innovation, and Infrastructure

Keywords

  • Vlasov-Poisson system
  • doping profile
  • inverse problems

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