# Bounds on complex polarizabilities and a new perspective on scattering by a lossy inclusion

@article{Milton2017BoundsOC,
title={Bounds on complex polarizabilities and a new perspective on scattering by a lossy inclusion},
author={Graeme W. Milton},
journal={arXiv: Mathematical Physics},
year={2017}
}
• G. Milton
• Published 22 April 2017
• Physics, Mathematics
• arXiv: Mathematical Physics
Here we obtain explicit formulae for bounds on the complex electrical polarizability at a given frequency of an inclusion with known volume that follow directly from the quasistatic bounds of Bergman and Milton on the effective complex dielectric constant of a two-phase medium. We also describe how analogous bounds on the orientationally averaged bulk and shear polarizabilities at a given frequency can be obtained from bounds on the effective complex bulk and shear moduli of a two-phase medium…
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