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Perturbation Approach to Shape Reconstruction in a Rectangular Waveguide using Experimental Data
KTH, School of Electrical Engineering and Computer Science (EECS), Electromagnetic Engineering.ORCID iD: 0000-0001-9241-8030
KTH, School of Electrical Engineering and Computer Science (EECS).
Linnaeus Univ, Fac Technol, Vaxjo, Sweden..
2018 (English)In: 2018 INTERNATIONAL APPLIED COMPUTATIONAL ELECTROMAGNETICS SOCIETY SYMPOSIUM (ACES), IEEE , 2018Conference paper, Published paper (Refereed)
Abstract [en]

We consider the inverse problem of reconstructing the shape of a deformation in one of the broad walls of a rectangular waveguide. Assuming a small deformation, resulting in weak scattering, the direct problem is solved using a first order perturbation approach. Hence, the inverse problem becomes linear and is formulated as an equation system for a set of expansion coefficients. The illposedness of the inverse problem is handled with regularization, by adding a penalty term which weight is determined by the L-curve method. The theory is tested on experimental reflection data, using the dominant mode of the waveguide. The reconstructed shape is in qualitative agreement with the true shape, but a detailed resolution cannot be obtained due to insufficient quality of the experimental data. Extensions and improvements of the method are discussed.

Place, publisher, year, edition, pages
IEEE , 2018.
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-231641DOI: 10.23919/ROPACES.2018.8364172ISI: 000435263000085Scopus ID: 2-s2.0-85048342443OAI: oai:DiVA.org:kth-231641DiVA, id: diva2:1244828
Conference
ACES-Denver 2018; Denver; United States; 25 March 2018 through 29 March 2018
Note

QC 20180903

Available from: 2018-09-03 Created: 2018-09-03 Last updated: 2020-03-05Bibliographically approved

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Norgren, Martinde Saracho, Irene Ortiz

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