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Titlebook: Inverse Acoustic and Electromagnetic Scattering Theory; David Colton,Rainer Kress Book 19921st edition Springer-Verlag Berlin Heidelberg 1

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0066-5452 later, these initial ideas have developed to the extent that a monograph summarizing the mathematical basis of the field seems appropriate. This book is oUf at978-3-662-02835-3Series ISSN 0066-5452 Series E-ISSN 2196-968X
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Ill-Posed Problems,ill be measured quantities. Therefore, one wants to make sure that small errors in the data will cause only small errors in the solution. A problem satisfying all three requirements is called .. Otherwise, it is called .. As shown in the previous chapter, the direct obstacle scattering problem is well-posed.
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0066-5452 e development of integral equation methods for the direct scattering problem seems to be nearing completion, whereas the use of such an approach to study the inverse scattering problem has progressed to an extent that a ‘state of the art‘ survey appears highly desirable". Since we wrote these words,
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Electromagnetic Waves in an Inhomogeneous Medium,tic field does not penetrate deeply into the body. This last problem is an approximation to the more complicated transmission problem for a piecewise constant medium and leads to what is called the exterior impedance problem for electromagnetic waves.
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The Inverse Medium Problem,of the cost functional is zero. However, since similar optimization schemes were analyzed in depth in Chapters 5 and 7, we shall not dwell on the specific optimization scheme itself, except in Section 10.6 where we present some numerical examples.
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Introduction,given only cursory attention. In view of this fact, and in fairness to the reader, we have therefore decided to provide a few words at the beginning of our book to tell the reader what we are going to do, as well as what we are not going to do, in the forthcoming chapters.
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Acoustic Waves in an Inhomogeneous Medium,hod of integral equations to investigate the direct scattering problem. However, since boundary conditions are absent, we shall make use of volume potentials instead of surface potentials as in the previous chapters.
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