The purpose of this chapter is to provide a survey of our book by placing what we have to say in a historical context. We obviously cannot give a complete account of inverse …
2 Introduction that the law of formation has been found. The corresponding direct problem is to evaluate the sequence (an) given the law of formation. It is clear that such inverse …
Since the middle of the last century, computing power has increased sufficiently that the direct numerical approximation of Maxwell's equations is now an increasingly important tool …
The factorization method is a relatively new method for solving certain types of inverse scattering problems and problems in tomography. Aimed at students and researchers in …
A Kirsch - Inverse problems, 1998 - iopscience.iop.org
This paper is concerned with the inverse obstacle scattering problem for time harmonic plane waves. We derive a factorization of the far field operator F in the form and prove that …
The aim of this paper is to introduce inversion‐based engineering applications and to investigate some of the important ones from mathematical point of view. To do this we …
A Kirsch - Inverse problems, 1993 - iopscience.iop.org
The author recalls the notion of the domain derivative of a functional. The existence and a characterization of the domain derivative of the far-field pattern for a scattering problem with …
With the continued advance of computing power and accessibility, the view that" real mathematicians don't compute" no longer has any traction for a newer generation of …
GP Otto, WC Chew - IEEE Transactions on Microwave Theory …, 1994 - ieeexplore.ieee.org
Local shape function imaging uses far-field microwave scattering data to reconstruct the presence or absence of small metal cylinders throughout space, in order to model arbitrary …