The linear sampling method is the oldest and most developed of the qualitative methods in inverse scattering theory it is based on solving a linear integral equation and then using the equations solution as an indicator function for the determination of the support of the scattering object this book describes the linear sampling method for a variety of electromagnetic scattering problems it presents uniqueness theorems and the derivation of various inequalities on the material properties . The linear sampling method in inverse electromagnetic scattering fioralba cakoni david colton peter monk p cm cbms nsf regional conference series in applied mathematics includes bibliographical references and index isbn 978 0 898719 39 0 1 scattering physics mathematics 2 electromagnetic waves scattering 3 inverse. The oldest and most developed of the qualitative methods in inverse scattering theory is the linear sampling method lsm first introduced by colton and kirsch 49 in 1996 for the scalar case and it is this approach for the vector case that will be the main focus of this book for qualitative methods in electromagnetic inverse scattering theory other than the lsm we refer the reader to chapter 5 of the recent monograph by kirsch and grinberg 77 as well as to the article 69. Cbms nsf regional conference series in applied mathematics the linear sampling method in inverse electromagnetic scattering 101137 19780898719406ch1 the linear sampling method in inverse electromagnetic scattering manage this chapter add to my favorites download citations track citations recommend share recommend to library email to a friend facebook twitter citeulike newsvine . The linear sampling method in inverse electromagnetic scattering cbms nsf regional conference series in applied mathematics fioralba cakoni david colton peter monk the linear sampling method is the oldest and most developed of the qualitative methods in inverse scattering theory