Inverse scattering for a plane screen

We consider the inverse scattering problem by plane screens with Robin type boundary condition. It is proved that the shape of screen located on the known plane and the constant impedance are uniquely determined with a single incident plane wave. We also concern Fréchet derivative with respect to th...

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Bibliographic Details
Published inApplied mathematics and computation Vol. 122; no. 1; pp. 59 - 69
Main Author Kwon, Ohin
Format Journal Article
LanguageEnglish
Published New York, NY Elsevier Inc 10.07.2001
Elsevier
Subjects
Exact sciences and technology
Far-field pattern
Fréchet derivative
Integral equations
Inverse problem
Mathematical analysis
Mathematics
Partial differential equations
Plane screen
Robin boundary condition
Sciences and techniques of general use
Robin boundary condition
Fréchet derivative
Plane screen
Inverse problem
Far-field pattern
Screen
Far field
Boundary integral method
Two dimensional model
Impedance function
Boundary condition
Robin problem
Kernel form
Kernel function
Integral equation
Diffusion
Impedance
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Summary:We consider the inverse scattering problem by plane screens with Robin type boundary condition. It is proved that the shape of screen located on the known plane and the constant impedance are uniquely determined with a single incident plane wave. We also concern Fréchet derivative with respect to the impedance function. Numerical experiments are given.
ISSN:0096-3003
1873-5649
DOI:10.1016/S0096-3003(00)00012-6