The Mathematical Basis of the Inverse Scattering Problem for Cracks from Near-Field Data
Joint Authors
Mao, Yao
Chen, Yongguang
Guo, Jun
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-06-04
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We consider the acoustic scattering problem from a crack which has Dirichlet boundary condition on one side and impedance boundary condition on the other side.
The inverse scattering problem in this paper tries to determine the shape of the crack and the surface impedance coefficient from the near-field measurements of the scattered waves, while the source point is placed on a closed curve.
We firstly establish a near-field operator and focus on the operator’s mathematical analysis.
Secondly, we obtain a uniqueness theorem for the shape and surface impedance.
Finally, by using the operator’s properties and modified linear sampling method, we reconstruct the shape and surface impedance.
American Psychological Association (APA)
Mao, Yao& Chen, Yongguang& Guo, Jun. 2015. The Mathematical Basis of the Inverse Scattering Problem for Cracks from Near-Field Data. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1074923
Modern Language Association (MLA)
Mao, Yao…[et al.]. The Mathematical Basis of the Inverse Scattering Problem for Cracks from Near-Field Data. Mathematical Problems in Engineering No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1074923
American Medical Association (AMA)
Mao, Yao& Chen, Yongguang& Guo, Jun. The Mathematical Basis of the Inverse Scattering Problem for Cracks from Near-Field Data. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1074923
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074923