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Diffractive Index D...
Diffractive Index Determination by Tikhonov Regularization on Forced String Vibration Data
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- Asekritova, Irina (author)
- Växjö universitet,Matematiska och systemtekniska institutionen,Signaler och vågor,Växjö universitet, Sweden
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- Nilsson, Börje, 1949- (author)
- Växjö universitet,Matematiska och systemtekniska institutionen,Signaler och vågor,Växjö universitet, Sweden
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- Rydström, Sara (author)
- Växjö universitet,Matematiska och systemtekniska institutionen,Signaler och vågor,Växjö universitet, Sweden
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(creator_code:org_t)
- Melville, New York : American Institute of Physics, 2009
- 2009
- English.
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In: Mathematical modelling of wave phenomena. - Melville, New York : American Institute of Physics. ; , s. 224-232, s. 224-232
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Abstract
Subject headings
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- 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.
Subject headings
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- string vibrations
- Tikhonov regularization
- elastic properties
- inverse problem
- Applied mathematics
- Tillämpad matematik
- Matematik
- Mathematics
Publication and Content Type
- ref (subject category)
- kon (subject category)
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