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A priori modeling for gradient based inverse scattering algorithms
Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering.ORCID iD: 0000-0002-7018-6248
2009 (English)In: Progress in Electromagnetics Research B, ISSN 1937-6472, E-ISSN 1937-6472, Vol. 16, p. 407-432Article in journal (Refereed) Published
Abstract [en]

This paper presents a Fisher information based Bayesian approach to analysis and design of the regularization and preconditioning parameters used with gradient based inverse scattering algorithms. In particular, a one-dimensional inverse problem is considered where the permittivity and conductivity profiles are unknown and the input data consist of the scattered field over a certain bandwidth. A priori parameter modeling is considered with linear, exponential and arctangential parameter scalings and robust preconditioners are obtained by choosing the related scaling parameters based on a Fisher information analysis of the known background. The Bayesian approach and a principal parameter (singular value) analysis of the stochastic Cramer-Rao bound provide a natural interpretation of the regularization that is necessary to achieve stable inversion, as well as an indicator to predict the feasibility of achieving successful reconstruction in a given problem set-up. In particular, the Tikhonov regularization scheme is put into a Bayesian estimation framework. A time-domain least-squares inversion algorithm is employed which is based on a quasi-Newton algorithm together with an FDTD-electromagnetic solver. Numerical examples are included to illustrate and verify the analysis.

Place, publisher, year, edition, pages
2009. Vol. 16, p. 407-432
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Research subject
Physics, Electrotechnology
Identifiers
URN: urn:nbn:se:vxu:diva-6474DOI: 10.2528/PIERB09060805OAI: oai:DiVA.org:vxu-6474DiVA, id: diva2:282369
Available from: 2009-12-19 Created: 2009-12-19 Last updated: 2017-12-12Bibliographically approved

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Nordebo, Sven

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  • apa
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  • ieee
  • modern-language-association-8th-edition
  • vancouver
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Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
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