Non-ambiguous boundary identification of a cylindrical object by acoustic waves |
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| Institution: | 1. School of Physics and Optoelectronics, South China University of Technology, Guangzhou 510640, China;2. School of Materials Science & Engineering, South China University of Technology, Guangzhou 510640, China;1. Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA;2. Laboratoire de Mécanique et d''Acoustique, UPR7051 du CNRS, 31 Chemin Joseph Aiguier, 13402 Marseille cedex 20, France;3. Department of Mathematics, University of Tennessee, Chattanooga, TN 37403, USA;1. Department of Mechanics and Applied Mathematics, Institute of Cybernetics at Tallinn Technical University, Akadeemia Rd. 21, 12618 Tallinn, Estonia;2. Faculty of Mathematical Sciences, University of Twente, PO Box 217, 7500 AE Enschede, The Netherlands |
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| Abstract: | It is shown that the use of: (1) measurements of the response, on a circle circumscribing the object in its cross-sectional plane, to two probe plane waves having different frequencies; (2) the intersecting canonical body approximation (ICBA) of the wave-object interaction; and (3) an asymptotic analysis of the ICBA data equation, enables a non-ambiguous identification of the scattering boundary. |
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