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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.

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Simultaneous reconstruction of permittivity and conductivity

A. L. Karchevsky1

1Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Sciences, Acad. Koptyug prosp., 4, 630090 Novosibirsk, Russia. Email:

Citation Information: Journal of Inverse and Ill-posed Problems. Volume 17, Issue 4, Pages 387–404, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: 10.1515/JIIP.2009.026, June 2009

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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

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