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  1. NTU Theses and Dissertations Repository
  2. 理學院
  3. 數學系
Please use this identifier to cite or link to this item: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/26099
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???org.dspace.app.webui.jsptag.ItemTag.dcfield???ValueLanguage
dc.contributor.advisor王振南(Jenn-Nan Wang)
dc.contributor.authorYem-Heng Linen
dc.contributor.author林彥亨zh_TW
dc.date.accessioned2021-06-08T07:00:11Z-
dc.date.copyright2009-06-23
dc.date.issued2009
dc.date.submitted2009-06-17
dc.identifier.citationF. 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.urihttp://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.abstractInverse 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.provenanceMade 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.isozh-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.subjectfar fielden
dc.subjectinverse scatteringen
dc.subjectscattered waveen
dc.subjectreconstructiveen
dc.subjectplane waveen
dc.title一些反散射問題重構方法的介紹zh_TW
dc.titleSurvey on reconstruction methods in the inverse scattering problemen
dc.typeThesis
dc.date.schoolyear97-2
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.keywordinverse scattering,scattered wave,far field,plane wave,reconstructive,en
dc.relation.page42
dc.rights.note未授權
dc.date.accepted2009-06-17
dc.contributor.author-college理學院zh_TW
dc.contributor.author-dept數學研究所zh_TW
Appears in Collections:數學系

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