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Article Dans Une Revue Inverse Problems in Science and Engineering Année : 2015

Equivalent permittivity of binary objects obtained by inversion of their response to impressed potentials

Résumé

This investigation addresses the following problem: (a) a binary inhomogeneous dielectric (two distinct permittivities; those of the core and of the mantle) object B is subjected to a quasistatic electric potential P and the response F to this field is measured at various points outside the object. (b) Find the so-called ‘equivalent’ permittivity ε of the homogeneous object H , having the same shape and size as B , which gives rise to the same response F as B to the solicitation P . This is treated as an inverse problem, in which F is the simulated data and the parameter retrieval model is that of the interaction of P with H . We show, for B a filled tube-like object, that: (1) this inverse problem can be solved for the retrieved value E of ε in a mathematically-explicit form, (2) and E can provide consistent, meaningful, physical and geometric information as to the nature and proportion of the core and mantle components of the object, provided uncertainties concerning the measurement of F are small.
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Dates et versions

hal-01301502 , version 1 (12-04-2016)

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Armand Wirgin. Equivalent permittivity of binary objects obtained by inversion of their response to impressed potentials. Inverse Problems in Science and Engineering, 2015, ⟨10.1080/17415977.2015.1101766⟩. ⟨hal-01301502⟩
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