publication . Preprint . Article . 2017

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

Graeme W. Milton;
Open Access English
  • Published: 22 Apr 2017
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 obtained by Milton, Gibiansky and Berryman, using the quasistatic variational principles of Cherkaev and Gibiansky. We also show how the polarizability problem and the aco...
free text keywords: Mathematical Physics
Related Organizations
Funded by
NSF| Metamaterials and Inverse Problems
  • Funder: National Science Foundation (NSF)
  • Project Code: 1211359
  • Funding stream: Directorate for Mathematical & Physical Sciences | Division of Mathematical Sciences
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