The reconstruction of the surface of scatterers with continuous curvature via low-frequency moments

 
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Journal part (EN)
Scientific article (EN)
1995 (EN)
The reconstruction of the surface of scatterers with continuous curvature via low-frequency moments (EN)
Charalambopoulos, A (EN)
In this work, the reconstruction of the shape of an acoustically soft scatterer from knowledge of the scattering amplitude is examined. It is demonstrated that if we work in the low-frequency region and the scatterer's surface is assumed to have continuous curvature then we can construct polynomial surfaces tending to coincide with the scatterer's surface as their degree increases. The proposed method is stable in such a way that small measurement errors lead to small changes of the polynomial surfaces approximating the scatterer's surface. © 1995 Oxford University Press. (EN)
journalArticle (EN)
INVERSE SCATTERING (EN)
RESONANCE REGION (EN)
Mathematics, Applied (EN)
HARMONIC ACOUSTIC-WAVES (EN)
National Technical University of Athens
Digital Library of National Technical University of Athens | Dspace@NTUA
Κεντρική Βιβλιοθήκη Ε.Μ.Π.
Ιδρυματικό Αποθετήριο
Δημοσιεύσεις μελών Δ.Ε.Π. σε περιοδικά
IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications) (EN)
English
1995 (EN)
http://hdl.handle.net/123456789/11695
ISI:A1995RB18400005 (EN)
2 (EN)
201 (EN)
0272-4960 (EN)
10.1093/imamat/54.2.171 (EN)
171 (EN)
54 (EN)
OXFORD UNIV PRESS UNITED KINGDOM (EN)



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