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 contribution | A factorization method for the inverse scattering of the wave equation |
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| Original language | English |
| Qualification | Doctor's degree |
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| Print ISBNs | 978-952-60-4232-9 |
| Electronic ISBNs | 978-952-60-4233-6 |
| Publication status | Published - 2011 |
| MoE publication type | G4 Doctoral dissertation (monograph) |
Keywords
- inverse problems
- factorization
- Robin boundary conditions
- wave equation
- Helmholtz equation
- scattering