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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.

6 Issues per year


IMPACT FACTOR increased in 2015: 0.987
Rank 59 out of 312 in category Mathematics and 93 out of 254 in Applied Mathematics in the 2015 Thomson Reuters Journal Citation Report/Science Edition

SCImago Journal Rank (SJR) 2015: 0.583
Source Normalized Impact per Paper (SNIP) 2015: 1.106
Impact per Publication (IPP) 2015: 0.712

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Online
ISSN
1569-3945
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Volume 15, Issue 2 (May 2007)

Issues

Parameter estimation versus homogenization techniques in time-domain characterization of composite dielectrics

H. T. Banks / V. A. Bokil / N. L. Gibson
Published Online: 2007-05-25 | DOI: https://doi.org/10.1515/JIIP.2007.006

We compare an inverse problem approach to parameter estimation with homogenization techniques for characterizing the electrical response of composite dielectric materials in the time domain. We first consider an homogenization method, based on the periodic unfolding method, to identify the dielectric response of a complex material with heterogeneous micro-structures which are described by spatially periodic parameters. We also consider electromagnetic interrogation problems for complex materials assuming multiple polarization mechanisms with distributions of parameters. An inverse problem formulation is devised to determine effective polarization parameters specific to the interrogation problem. We compare the results of these two approaches with the classical Maxwell-Garnett mixing model and a simplified model with a weighted average of parameters. Numerical results are presented for a specific example involving a mixture of ethanol and water (modeled with multiple Debye mechanisms). A comparison between each approach is made in the frequency domain (e.g., Cole-Cole diagrams), as well as in the time domain (e.g., plots of susceptibility kernels).

Key Words: homogenization,; Maxwell's equations,; electromagnetic interrogation,; inverse problems,; parameter estimation,; complex dielectric materials,; distributions of relaxation parameters,; Maxwell-Garnett mixing rule.

About the article

Published Online: 2007-05-25

Published in Print: 2007-05-23


Citation Information: Journal of Inverse and Ill-posed Problems jiip, ISSN (Online) 1569-3953, ISSN (Print) 0928-0219, DOI: https://doi.org/10.1515/JIIP.2007.006. Export Citation

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Mårten Gulliksson, Anders Holmbom, Jens Persson, and Ye Zhang
Inverse Problems, 2016, Volume 32, Number 2, Page 025005

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