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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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Abstract

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.

Solving the inverse problem of electrocardiography in a realistic environment

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Book Series: Karlsruhe transactions on biomedical engineering / Ed.: Universität Karlsruhe (TH) / Institute of Biomedical Engineering ISSN: 18645933 ISBN: 9783866444867 Year: Volume: 9 Pages: X, 116 p. DOI: 10.5445/KSP/1000016052 Language: ENGLISH
Publisher: KIT Scientific Publishing
Subject: Technology (General)
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Heart disease is a leading cause of death worldwide. Straightforward information about the cardiac electrophysiology can help to improve the quality of diagnosis of heart diseases. The inverse problem of electrocardiography and the intracardiac catheter measurement are two ways to get access to the electrophysiology in the heart. In this thesis six research topics related to these two techniques are included.

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