Title
The inverse scattering problem for cavities with impedance boundary condition
Abstract
We consider the inverse scattering problem of determining the shape of a cavity with impedance boundary condition from sources and measurements placed on a curve inside the cavity. It is shown that both the shape $\partial D$ of the cavity and the surface impedance 驴 are uniquely determined by the measured data and numerical methods are given for determining both $\partial D$ and 驴 where neither one is known a priori. Numerical examples are given showing the viability of our method.
Year
DOI
Venue
2012
10.1007/s10444-011-9179-2
Adv. Comput. Math.
Keywords
Field
DocType
Inverse scattering problem,Impedance boundary condition,Shape of a cavity,Surface impedance,35R30,65J22,78A46
Mathematical optimization,Mathematical analysis,A priori and a posteriori,Surface impedance,Numerical analysis,Mathematics,Inverse scattering problem,Impedance boundary condition
Journal
Volume
Issue
ISSN
36
2
1019-7168
Citations 
PageRank 
References 
0
0.34
2
Authors
2
Name
Order
Citations
PageRank
Hai-Hua Qin181.97
David Colton23315.98