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Factorization methods for photonics and rough surfaces

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ISBN: 9783866442566 Year: Pages: VI, 156 p. DOI: 10.5445/KSP/1000008735 Language: ENGLISH
Publisher: KIT Scientific Publishing
Subject: Mathematics
Added to DOAB on : 2019-07-30 20:02:01
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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.

The factorization method for inverse scattering from periodic inhomogeneous media

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ISBN: 9783866445505 Year: Pages: X, 152 p. DOI: 10.5445/KSP/1000019400 Language: ENGLISH
Publisher: KIT Scientific Publishing
Subject: Mathematics
Added to DOAB on : 2019-07-30 20:01:59
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This book addresses the identification of the shape of penetrable periodic media by means of scattered time-harmonic waves. Mathematically, this is about the determination of the support of a function which occurs in the governing equations. Our theoretical analysis shows that this problem can be strictly solved for acoustic as well as for electromagnetic radiation by the so-called Factorization Method. We apply this method to reconstruct a couple of media from numerically simulated field data.

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