Point sources and multipoles in inverse scattering theory:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton [u.a.]
Chapman & Hall/CRC
2001
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| Series: | Chapman & Hall CRC research notes in mathematics series
427 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 261 S. |
| ISBN: | 1584882522 |
Staff View
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Record in the Search Index
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| adam_text | vii
Contents
1 Introduction and tools 1
1.1 A survey on inverse scattering theory 1
1.2 Basic definitions and tools 18
2 Direct scattering problems 39
2.1 Acoustic obstacle scattering 39
2.2 The inhomogeneous acoustic medium 60
2.3 Electromagnetic scattering by a perfect conductor 73
2.4 The electromagnetic inhomogeneous medium 86
2.5 Scattering by orthotropic media 93
2.6 Anisotropic electromagnetic media 106
3 Uniqueness and stability in inverse scattering 121
3.1 Acoustic scattering 122
3.2 Electromagnetic scattering 141
4 The case of finite data 151
4.1 Finite data in inverse acoustic scattering 152
4.2 Inverse electromagnetic scattering 168
5 The point source method and applications 171
5.1 Reconstruction of acoustic scatterers 172
5.2 Inverse electromagnetic scattering 179
5.3 Reconstruction of the boundary values of scattered fields . . 181
5.4 Convergence of a regularized Newton method 190
6 Singular sources and shape reconstruction 199
6.1 Acoustic scattering 199
6.2 Electromagnetic scattering 205
7 Linear sampling methods 207
7.1 The original linear sampling method 207
7.2 Spectral theory and a modified linear sampling method . . 219
7.3 Shape reconstruction for orthotropic media 225
7.4 Anisotropic electromagnetic media 238
References 249
Index 257
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:57:50Z |
| institution | BVB |
| isbn | 1584882522 |
| language | English |
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| physical | XI, 261 S. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Chapman & Hall/CRC |
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| series | Chapman & Hall CRC research notes in mathematics series |
| series2 | Chapman & Hall CRC research notes in mathematics series |
| spelling | Potthast, Roland Verfasser aut Point sources and multipoles in inverse scattering theory Roland Potthast Boca Raton [u.a.] Chapman & Hall/CRC 2001 XI, 261 S. txt rdacontent n rdamedia nc rdacarrier Chapman & Hall CRC research notes in mathematics series 427 Inverse problems (Differential equations) Scattering (Mathematics) Inverses Problem (DE-588)4125161-1 gnd rswk-swf Streutheorie (DE-588)4183697-2 gnd rswk-swf Streutheorie (DE-588)4183697-2 s Inverses Problem (DE-588)4125161-1 s DE-604 Chapman & Hall CRC research notes in mathematics series 427 (DE-604)BV012456897 427 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009667759&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Potthast, Roland Point sources and multipoles in inverse scattering theory Chapman & Hall CRC research notes in mathematics series Inverse problems (Differential equations) Scattering (Mathematics) Inverses Problem (DE-588)4125161-1 gnd Streutheorie (DE-588)4183697-2 gnd |
| subject_GND | (DE-588)4125161-1 (DE-588)4183697-2 |
| title | Point sources and multipoles in inverse scattering theory |
| title_auth | Point sources and multipoles in inverse scattering theory |
| title_exact_search | Point sources and multipoles in inverse scattering theory |
| title_full | Point sources and multipoles in inverse scattering theory Roland Potthast |
| title_fullStr | Point sources and multipoles in inverse scattering theory Roland Potthast |
| title_full_unstemmed | Point sources and multipoles in inverse scattering theory Roland Potthast |
| title_short | Point sources and multipoles in inverse scattering theory |
| title_sort | point sources and multipoles in inverse scattering theory |
| topic | Inverse problems (Differential equations) Scattering (Mathematics) Inverses Problem (DE-588)4125161-1 gnd Streutheorie (DE-588)4183697-2 gnd |
| topic_facet | Inverse problems (Differential equations) Scattering (Mathematics) Inverses Problem Streutheorie |
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