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Multilayered Scattering Problem with Generalized Impedance Boundary Condition on the Core
Joint Authors
Guo, Jun
Yan, Guozheng
Cai, Mingjian
Source
Journal of Applied Mathematics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-09-28
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
This paper is concerned with the scattering problem of time-harmonic acoustic plane waves by an impenetrable obstacle buried in a piecewise homogeneous medium.
The so-called generalized impedance boundary condition is imposed on the boundary of the obstacle.
Firstly, the well posedness of the solution to the direct scattering problem is established by using the boundary integral method.
Then a uniqueness result for the inverse scattering problem is proved; that is, both of the obstacle’s shape and the impedances (μ, λ) can be uniquely determined from far field measurements.
Furthermore, a mathematical basis is given to reconstruct the shape of the obstacle by using a modified linear sampling method.
American Psychological Association (APA)
Guo, Jun& Yan, Guozheng& Cai, Mingjian. 2015. Multilayered Scattering Problem with Generalized Impedance Boundary Condition on the Core. Journal of Applied Mathematics،Vol. 2015, no. 2015, pp.1-13.
https://search.emarefa.net/detail/BIM-1067050
Modern Language Association (MLA)
Guo, Jun…[et al.]. Multilayered Scattering Problem with Generalized Impedance Boundary Condition on the Core. Journal of Applied Mathematics No. 2015 (2015), pp.1-13.
https://search.emarefa.net/detail/BIM-1067050
American Medical Association (AMA)
Guo, Jun& Yan, Guozheng& Cai, Mingjian. Multilayered Scattering Problem with Generalized Impedance Boundary Condition on the Core. Journal of Applied Mathematics. 2015. Vol. 2015, no. 2015, pp.1-13.
https://search.emarefa.net/detail/BIM-1067050
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1067050