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 equation's
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 of the scattering
object from a knowledge of the far field pattern of the scattered
wave. Also covered are: the approximation properties of Herglotz
wave functions; the behavior of solutions to the interior
transmission problem, a novel interior boundary value problem; and
numerical examples of the inversion scheme.
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