Abstract
In this work the reconstruction problem of the scattering of the wave equation is considered. Our approach is to start from ColtonKirch 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 contribution  A factorization method for the inverse scattering of the wave equation 

Original language  English 
Qualification  Doctor's degree 
Awarding Institution 

Supervisors/Advisors 

Publisher  
Print ISBNs  9789526042329 
Electronic ISBNs  9789526042336 
Publication status  Published  2011 
MoE publication type  G4 Doctoral dissertation (monograph) 
Keywords
 inverse problems
 factorization
 Robin boundary conditions
 wave equation
 Helmholtz equation
 scattering
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Tietäväinen, P. (2011). A factorization method for the inverse scattering of the wave equation. Aalto University. http://urn.fi/URN:ISBN:9789526042336