Factorization methods for photonics and rough surfaces

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 s...

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Main Author: Lechleiter, Armin
Format: Online
Language:English
Published: KIT Scientific Publishing 2021
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Online Access:35369
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author Lechleiter, Armin
author_browse Lechleiter, Armin
author_facet Lechleiter, Armin
author_sort Lechleiter, Armin
collection Directory of Open Access Books
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.
format Online
id doab-20.500.12854ir-47322
institution Directory of Open Access Books
language eng
publishDate 2021
publishDateRange 2021
publishDateSort 2021
publisher KIT Scientific Publishing
publisherStr KIT Scientific Publishing
record_format ojs
spelling doab-20.500.12854ir-473222023-12-20T18:40:36Z Factorization methods for photonics and rough surfaces Lechleiter, Armin QA1-939 Factorization method inverse scattering problem surface scattering bic Book Industry Communication::P Mathematics & science 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. 2021-02-11T13:23:54Z 2021-02-11T13:23:54Z 2019-07-30 20:02:01 2008 book 35369 9783866442566 https://directory.doabooks.org/handle/20.500.12854/47322 eng image/jpeg Attribution-NonCommercial-NoDerivatives 4.0 International https://www.ksp.kit.edu/9783866442566 KIT Scientific Publishing 10.5445/KSP/1000008735 10.5445/KSP/1000008735 68fffc18-8f7b-44fa-ac7e-0b7d7d979bd2 9783866442566 VI, 156 p. open access
spellingShingle QA1-939
Factorization method
inverse scattering problem
surface scattering
bic Book Industry Communication::P Mathematics & science
Lechleiter, Armin
Factorization methods for photonics and rough surfaces
title Factorization methods for photonics and rough surfaces
title_full Factorization methods for photonics and rough surfaces
title_fullStr Factorization methods for photonics and rough surfaces
title_full_unstemmed Factorization methods for photonics and rough surfaces
title_short Factorization methods for photonics and rough surfaces
title_sort factorization methods for photonics and rough surfaces
topic QA1-939
Factorization method
inverse scattering problem
surface scattering
bic Book Industry Communication::P Mathematics & science
topic_facet QA1-939
Factorization method
inverse scattering problem
surface scattering
bic Book Industry Communication::P Mathematics & science
url 35369
work_keys_str_mv AT lechleiterarmin factorizationmethodsforphotonicsandroughsurfaces