A factorization method for the inverse scattering of the wave equation

Tietäväinen, Pekka

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A factorization method for the inverse scattering of the wave equation



Title:	A factorization method for the inverse scattering of the wave equation
Author(s):	Tietäväinen, Pekka
Date:	2011
Language:	en
Pages:	Verkkokirja (4047 KB, 145 s.)
Department:	Matematiikan ja systeemianalyysin laitos Department of Mathematics and Systems Analysis
ISBN:	978-952-60-4233-6 (PDF) 978-952-60-4232-9 (printed)
Series:	Aalto University publication series DOCTORAL DISSERTATIONS , 66/2011
ISSN:	1799-4942
Supervising professor(s):	Nevanlinna, Olavi, Prof.
Thesis advisor(s):	Lassas, Matti, Prof.
Subject:	Mathematics
Keywords:	inverse problems, factorization, Robin boundary conditions, wave equation, Helmholtz equation, scattering
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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.
Permanent link to this item: http://urn.fi/URN:ISBN:978-952-60-4233-6 Email this Export to RefWorks QR Code Print BibTex Tweet

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