Recovery of Small Inhomogeneities From the Scattering Amplitude at a Fixed Frequency

Shari Moskow
University of Florida

Authors: Habib Ammari, Ekaterina Lakovleva and Shari Moskow

We derive rigorously the leading order term in the asymptotic expansion of
the scattering amplitude of a collection of a finite number of dielectric
inhomogeneities of small diameter. We then apply this formula for the purpose of
identifying the location and certain propoerties of the shapes of the
inhomogeneities using measurements of the scattering amplitude at a fixed
frequency.


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