Research reports

Years: 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991

Mathematical framework for multi-frequency identification of thin insulating and small conductive inhomogeneities

by H. Ammari and J.K. Seo and T. Zhang

(Report number 2015-35)

Abstract
We are aiming to identify the thin insulating inhomogeneities and small conductive inhomogeneities inside an electrically conducting medium by using multi-frequency electrical impedance tomography. The thin insulating inhomogeneities are considered in the form of tubular neighborhood of a curve and small conductive inhomogeneities are regarded as circular disks. Taking advantage of the frequency dependent behavior of insulating objects, we give a rigorous derivation of the potential along thin insulating objects at various frequencies. Asymptotic formula is given to analyze relationship between inhomogeneities and boundary potential at different frequencies. In numerical simulations, spectroscopic images are provided to visualize the reconstructed admittivity at various frequencies. For the view of both kinds of inhomogeneities, an integrated reconstructed image based on principle component analysis is provided. Phantom experiments are performed by using Swisstom Electrical Impedance Tomography-Pioneer Set.

Keywords: Electrical impedance tomography, multi-frequency measurements, identification, insulating and conductive inhomogeneities

@Techreport{ASZ15_625,
  author = {H. Ammari and J.K. Seo and T. Zhang},
  title = {Mathematical framework for multi-frequency identification of thin insulating and small conductive inhomogeneities},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2015-35},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2015/2015-35.pdf },
  year = {2015}
}

Disclaimer
© Copyright for documents on this server remains with the authors. Copies of these documents made by electronic or mechanical means including information storage and retrieval systems, may only be employed for personal use. The administrators respectfully request that authors inform them when any paper is published to avoid copyright infringement. Note that unauthorised copying of copyright material is illegal and may lead to prosecution. Neither the administrators nor the Seminar for Applied Mathematics (SAM) accept any liability in this respect. The most recent version of a SAM report may differ in formatting and style from published journal version. Do reference the published version if possible (see SAM Publications).