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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/26099完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 王振南(Jenn-Nan Wang) | |
| dc.contributor.author | Yem-Heng Lin | en |
| dc.contributor.author | 林彥亨 | zh_TW |
| dc.date.accessioned | 2021-06-08T07:00:11Z | - |
| dc.date.copyright | 2009-06-23 | |
| dc.date.issued | 2009 | |
| dc.date.submitted | 2009-06-17 | |
| dc.identifier.citation | F. Cakoni,D. Colton ,Adrian (2006) - Qualitative Methods in Inverse scattering Theory - An Introduction (Springer-Verlag,Berlin Heidelberg)
D. Colton ,R. Kress, (1998) - Inverse Acoustic and Electromagnetic Scattering Theory.2nd (Applied Mathematical Science,93. Springer-Verlag,Berlin) M. Ikehata, (2000) 根據不連續面的觀測再構成的數理--境界值逆問題.及關於逆散亂問題再構成公式 (都立群馬大學工學部) M. Ikehata, (1999) - Reconstruction of obstacle from boundary measurements (Wave motion 30 (1999) 205-223) V. Isakov ,(2006) - Inverse Problems for Partial Differential Equations, second edition (2006 Springer Science+Business Media Inc.) A. Kirsch ,(1998) - Characterization of the shape of the scattering obstacle using the spectral data of the far field operator (Inverse Problem 14(6), 1489-1512 (1998)) A. Kirsch ,(1996) - An Introduction to the Mathematical Theory of Inverse Problems (Berlin: Springer (1996)) G. Nakamura ,R. Potthast ,(2005) The no-response approach and its relation to non-iterative methods for the inverse scattering (Annali di Mathematica (2008) 187:7-37. Springer-Verlag 2006) J. Nuecas ,(2001) - Les methods directe en theorie des equations elliptiques (Academia, Prague) R. Potthast, Jan (1998) - Stability estimates and reconstructions in inverse scattering using singular sources (J. Comput. Appl. Math 114(2000) 247-274) R. Potthast, (1998) - Point sources and multipoles in inverse scattering theory (Chapman-Hall/CRC, Boca Raton) R. Potthast ,Gottingen ,(2004) - Sampling and Probe Methods - An Alogorithmical View (Computing 2004. To appear) R Potthast ,J. Sylvester ,S. Kusiak ,(2003) - A 'range test' for determining scatters with unknown physical properties (Inverse Problem. 19(3), 533-547 2003) D. Russel Luke ,R. Potthast ,(2003) - The no-response test - a sampling method for inverse acoustic scattering theorey (SIAM J APPL Math 63 (4) (2003) 1292-1312) | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/26099 | - |
| dc.description.abstract | 反散射問題一個主要的目的是如何利用散射場（波）的數據來得到未知物體的形狀。
這篇論文主要是介紹一些在三維空間中，如果利用平面波當成入射場（波）相對於未知物體所得到的散射場（波）跟其遠場（far field）的數據資料來重構出這個未知物體的外部形狀或整體形態。 | zh_TW |
| dc.description.abstract | Inverse scattering problems are concerned with the determining the shape of unknow obstacle from the information of scattered waves.
The goal of this work is to introduce some methods of reconstructive the shape of a three-dimensional obstacle from the knowledge of the far field pattern of the scattered wave whose incident field is time-harmonic plane wave. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-08T07:00:11Z (GMT). No. of bitstreams: 1 ntu-98-R96221025-1.pdf: 2673052 bytes, checksum: 4eddedd3956a12c94ee44ddf01d953c2 (MD5) Previous issue date: 2009 | en |
| dc.description.tableofcontents | 口試委員會審定書 I
Acknowledge II 摘要 III Abstract IV 1 Introduction 1 2 Multi-Wave Formulation of No-Response-Test 5 3 Singular Sourse Method and Probe Method 9 3.1 Singular Sourse Method 9 3.2 Probe Method 10 4 Range Test 14 5 Linear Sampling Method and Factorization Method 19 5.1 Linear Sampling Method 19 5.2 Probe Method 22 6 Some relation between these Methods 29 Reference 40 | |
| dc.language.iso | zh-TW | |
| dc.subject | 平面波 | zh_TW |
| dc.subject | 反散射 | zh_TW |
| dc.subject | 入射場 | zh_TW |
| dc.subject | 散射場 | zh_TW |
| dc.subject | 遠場 | zh_TW |
| dc.subject | far field | en |
| dc.subject | inverse scattering | en |
| dc.subject | scattered wave | en |
| dc.subject | reconstructive | en |
| dc.subject | plane wave | en |
| dc.title | 一些反散射問題重構方法的介紹 | zh_TW |
| dc.title | Survey on reconstruction methods in the inverse scattering problem | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 97-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 陳俊全,林景隆(Ching-Lung Lin) | |
| dc.subject.keyword | 反散射,入射場,散射場,遠場,平面波, | zh_TW |
| dc.subject.keyword | inverse scattering,scattered wave,far field,plane wave,reconstructive, | en |
| dc.relation.page | 42 | |
| dc.rights.note | 未授權 | |
| dc.date.accepted | 2009-06-17 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 數學研究所 | zh_TW |
| 顯示於系所單位： | 數學系 | |
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|---|---|---|---|
| ntu-98-1.pdf 未授權公開取用 | 2.61 MB | Adobe PDF |
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