A factorization method for the inverse scattering of the wave equation

Pekka Tietäväinen

Research output: ThesisDoctoral ThesisMonograph

Abstract

In this work the reconstruction problem of the scattering of the wave equation is considered. Our approach is to start from Colton-Kirch factorization method, derive a similar method for the time harmonic Robin problem, and use this to create a reconstruction for the wave equation. The new results presented in this work are the factorization reconstruction method for the time harmonic Robin scattering; the error limits that predict the trustworthiness of this reconstruction for various frequencies; and the factorization for the scattering of the wave equation, which includes two tests to determine whether a point is located in the scatterer.
Translated title of the contributionA factorization method for the inverse scattering of the wave equation
Original languageEnglish
QualificationDoctor's degree
Awarding Institution
  • Aalto University
Supervisors/Advisors
  • Nevanlinna, Olavi, Supervisor
  • Lassas, Matti, Advisor, External person
Publisher
Print ISBNs978-952-60-4232-9
Electronic ISBNs978-952-60-4233-6
Publication statusPublished - 2011
MoE publication typeG4 Doctoral dissertation (monograph)

Keywords

  • inverse problems
  • factorization
  • Robin boundary conditions
  • wave equation
  • Helmholtz equation
  • scattering

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