Reconstructing small perturbations in electrical admittivity at low frequencies

    Authors

    S. Kim;A. Tamasan

    Comments

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    Abbreviated Journal Title

    Inverse Probl.

    Keywords

    electrical impedance tomography; small perturbation; frequency; differential; INVERSE CONDUCTIVITY PROBLEM; BOUNDARY-VALUE PROBLEM; D-BAR METHOD; IMPEDANCE TOMOGRAPHY; GLOBAL UNIQUENESS; PLANE; FEASIBILITY; ALGORITHM; Mathematics, Applied; Physics, Mathematical

    Abstract

    We present a method to recover small perturbations from constants in electrical conductivity sigma and relative (to the air's) permittivity is an element of of a body, from electrical measurements at low frequencies at the boundary. The method is based on the asymptotic expansion of the frequency differential of the Neumann-to-Dirichlet map with respect to both frequency and perturbation size. To show its feasibility, we implement the method on two numerical experiments for a complete electrode model.

    Journal Title

    Inverse Problems

    Volume

    30

    Issue/Number

    3

    Publication Date

    1-1-2014

    Document Type

    Article

    Language

    English

    First Page

    18

    WOS Identifier

    WOS:000333750700006

    ISSN

    0266-5611

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