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We provide a rigorous derivation of an asymptotic formula for perturbationsin the resonance values caused by the presence of finite number of anisotropicimperfections of small shapes with constitutive parameters different from thebackground conductivity. The asymptotic expansion is carried out with respectto the size of the imperfections. The main feature of the method is to yield arobust procedure making it possible to recover information about the location,shape, and material properties of the anisotropic imperfections.

Asymptotic Expansions for Resonances in the Presence of Small Anisotropic Imperfections