Diffractive Index Determination by Tikhonov Regularization on Forced String Vibration Data
2009 (English)In: Mathematical modeling of wave phenomena, American Institute of Physics (AIP), 2009, 224-232 p.Conference paper (Other academic)
Wave analysis is efficient for investigating the interior of objects. Examples are ultra sound examination of humans and radar using elastic and electromagnetic waves. A common procedure is inverse scattering where both transmitters and receivers are located outside the object or on its boundary. A variant is when both transmitters and receivers are located on the scattering object. The canonical model is a finite inhomogeneous string driven by a harmonic point force. The inverse problem for the determination of the diffractive index of the string is studied. This study is a first step to the problem for the determination of the mechanical strength of wooden logs. An inverse scattering theory is formulated incorporating two regularizing strategies. The results of simulations using this theory show that the suggested method works quite well and that the regularization methods based on the couple of spaces (L2; H1 ) could be very useful in such problems.
Place, publisher, year, edition, pages
American Institute of Physics (AIP), 2009. 224-232 p.
, AIP Conference Proceedings, ISSN 0094-243X ; 1106
string vibrations, Tikhonov regularization, elastic properties, inverse problem
IdentifiersURN: urn:nbn:se:liu:diva-90403DOI: 10.1063/1.3117098ISBN: 978-0-7354-0643-8OAI: oai:DiVA.org:liu-90403DiVA: diva2:612941
3rd Conference on Mathematical Modeling of Wave phenomena, 20th Nordic Conference on Radio Science and Communication, Växjö, Sweden, 13-19 June 2008