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 contribution||A factorization method for the inverse scattering of the wave equation|
|Publication status||Published - 2011|
|MoE publication type||G4 Doctoral dissertation (monograph)|
- inverse problems
- Robin boundary conditions
- wave equation
- Helmholtz equation