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This thesis investigates non-destructive testing problems for rough and periodic surfaces, where the task is to determine such structures from scattered waves. Such problems are non-linear and ill-posed. We are interested in the analysis of the Factorization method applied to this class of inverse scattering problems. This method does not attempt to solve a non-linear operator equation for the unknown object but computes a binary criterion characterizing points inside and outside the structure.
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Factorization methods for photonics and rough surfaces, Armin Lechleiter
- Language
- Released
- 2008
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- Title
- Factorization methods for photonics and rough surfaces
- Language
- English
- Authors
- Armin Lechleiter
- Publisher
- Univ.-Verl. Karlsruhe
- Publisher
- 2008
- Format
- Paperback
- ISBN10
- 3866442564
- ISBN13
- 9783866442566
- Category
- University and college textbooks
- Description
- This thesis investigates non-destructive testing problems for rough and periodic surfaces, where the task is to determine such structures from scattered waves. Such problems are non-linear and ill-posed. We are interested in the analysis of the Factorization method applied to this class of inverse scattering problems. This method does not attempt to solve a non-linear operator equation for the unknown object but computes a binary criterion characterizing points inside and outside the structure.