A factorization method for the inverse scattering of the wave equation

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Perustieteiden korkeakoulu | Doctoral thesis (monograph)
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Date
2011
Major/Subject
Mcode
Degree programme
Language
en
Pages
Verkkokirja (4047 KB, 145 s.)
Series
Aalto University publication series DOCTORAL DISSERTATIONS , 66/2011
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.
Description
Supervising professor
Nevanlinna, Olavi, Prof.
Thesis advisor
Lassas, Matti, Prof.
Keywords
inverse problems, factorization, Robin boundary conditions, wave equation, Helmholtz equation, scattering
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