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A priori modeling f...
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Nordebo, Sven,1963-Lund University,Lunds universitet,Växjö universitet,Matematiska och systemtekniska institutionen,Institutionen för elektro- och informationsteknik,Institutioner vid LTH,Lunds Tekniska Högskola,Department of Electrical and Information Technology,Departments at LTH,Faculty of Engineering, LTH
(author)
A priori modeling for gradient based inverse scattering algorithms
- Article/chapterEnglish2009
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LIBRIS-ID:oai:DiVA.org:vxu-6474
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https://urn.kb.se/resolve?urn=urn:nbn:se:vxu:diva-6474URI
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https://doi.org/10.2528/PIERB09060805DOI
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https://lup.lub.lu.se/record/1453959URI
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Language:English
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Summary in:English
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Subject category:ref swepub-contenttype
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Subject category:art swepub-publicationtype
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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.
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Gustafsson, MatsLund University,Lunds universitet,Institutionen för elektro- och informationsteknik,Institutioner vid LTH,Lunds Tekniska Högskola,Department of Electrical and Information Technology,Departments at LTH,Faculty of Engineering, LTH(Swepub:lu)tde-mgu
(author)
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Växjö universitetMatematiska och systemtekniska institutionen
(creator_code:org_t)
Related titles
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In:Progress in Electromagnetics Research B16, s. 407-4321937-6472
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