Survey on reconstruction methods in the inverse scattering problem

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。Inverse scattering problems are concerned with the determining the shape of unknow obstacle from the information of scattered waves.he 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.口試委員會審定書 Icknowledge II要 IIIbstract IV Introduction 1 Multi-Wave Formulation of No-Response-Test 5 Singular Sourse Method and Probe Method 9.1 Singular Sourse Method 9.2 Probe Method 10 Range Test 14 Linear Sampling Method and Factorization Method 19.1 Linear Sampling Method 19.2 Probe Method 22 Some relation between these Methods 29eference 4