The factorization method for inverse scattering from periodic inhomogeneous media
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 st...
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| Κύριος συγγραφέας: | |
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| Μορφή: | Online |
| Γλώσσα: | Αγγλικά |
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KIT Scientific Publishing
2021
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| Διαθέσιμο Online: | 34839 |
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| _version_ | 1869516067401891840 |
|---|---|
| author | Sandfort, Kai |
| author_browse | Sandfort, Kai |
| author_facet | Sandfort, Kai |
| author_sort | Sandfort, Kai |
| collection | Directory of Open Access Books |
| description | 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. |
| format | Online |
| id | doab-20.500.12854ir-47321 |
| 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-473212023-12-20T18:40:33Z The factorization method for inverse scattering from periodic inhomogeneous media Sandfort, Kai QA1-939 Lippmann-Schwinger equation crystal inverse scattering problem factorization method photonics bic Book Industry Communication::P Mathematics & science 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. 2021-02-11T13:23:52Z 2021-02-11T13:23:52Z 2019-07-30 20:01:59 2010 book 34839 9783866445505 https://directory.doabooks.org/handle/20.500.12854/47321 eng image/jpeg Attribution-NonCommercial-NoDerivatives 4.0 International https://www.ksp.kit.edu/9783866445505 KIT Scientific Publishing 10.5445/KSP/1000019400 10.5445/KSP/1000019400 68fffc18-8f7b-44fa-ac7e-0b7d7d979bd2 9783866445505 X, 152 p. open access |
| spellingShingle | QA1-939 Lippmann-Schwinger equation crystal inverse scattering problem factorization method photonics bic Book Industry Communication::P Mathematics & science Sandfort, Kai The factorization method for inverse scattering from periodic inhomogeneous media |
| title | The factorization method for inverse scattering from periodic inhomogeneous media |
| title_full | The factorization method for inverse scattering from periodic inhomogeneous media |
| title_fullStr | The factorization method for inverse scattering from periodic inhomogeneous media |
| title_full_unstemmed | The factorization method for inverse scattering from periodic inhomogeneous media |
| title_short | The factorization method for inverse scattering from periodic inhomogeneous media |
| title_sort | factorization method for inverse scattering from periodic inhomogeneous media |
| topic | QA1-939 Lippmann-Schwinger equation crystal inverse scattering problem factorization method photonics bic Book Industry Communication::P Mathematics & science |
| topic_facet | QA1-939 Lippmann-Schwinger equation crystal inverse scattering problem factorization method photonics bic Book Industry Communication::P Mathematics & science |
| url | 34839 |
| work_keys_str_mv | AT sandfortkai thefactorizationmethodforinversescatteringfromperiodicinhomogeneousmedia AT sandfortkai factorizationmethodforinversescatteringfromperiodicinhomogeneousmedia |