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Polarization tensors and their applications

Habib Ammari1, Hyeonbae Kang2 and Mikyoung Lim1

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We provide a survey of important properties of the generalized polarization tensors which are the basic building blocks for the full asymptotic expansions of the boundary voltage perturbations due to the presence of a small conductivity inclusion inside a conductor. These properties may be used to design efficient algorithms for reconstructing conductivity inclusions of small volume.


PACS

72.10.Bg General formulation of transport theory

02.30.Mv Approximations and expansions

MSC

30C15 Zeros of polynomials, rational functions, and other analytic functions (e.g. zeros of functions with bounded Dirichlet integral) (For algebraic theory, see 12D10; for real methods, see 26C10)

41A60 Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (See also 30E15)

Subjects

Mathematical physics

Condensed matter: electrical, magnetic and optical

Dates

Issue 1 (2005)



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