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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.

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Volume 17, Issue 4 (Jan 2009)


Simultaneous reconstruction of permittivity and conductivity

A. L. Karchevsky
  • Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Sciences, Acad. Koptyug prosp., 4, 630090 Novosibirsk, Russia. Email:
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Published Online: 2009-06-16 | DOI: https://doi.org/10.1515/JIIP.2009.026


In this paper we introduce the generalization of the known technique of the gradient construction based on the conjugate problem for the case when the unknown function is complex-valued. We introduce the notion of the based frequency. The based frequency helps to estimate the possibility of simultaneous determination of dielectric permeability and conductivity.

Key words.: Inverse problem; dielectric permeability and conductivity; conjugate problem; discrepancy functional

About the article

Received: 2008-12-10

Published Online: 2009-06-16

Published in Print: 2009-06-01

Citation Information: Journal of Inverse and Ill-posed Problems, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: https://doi.org/10.1515/JIIP.2009.026.

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