The inverse scattering problem for cavities with impedance boundary condition

Autor:	David Colton, Hai-Hua Qin
Rok vydání:	2011
Předmět:	Computational Mathematics Applied Mathematics Numerical analysis Mathematical analysis Inverse scattering problem Physics::Accelerator Physics Computational Science and Engineering A priori and a posteriori Surface impedance Impedance boundary condition Mathematics Visualization
Zdroj:	Advances in Computational Mathematics. 36:157-174
ISSN:	1572-9044 1019-7168
DOI:	10.1007/s10444-011-9179-2
Popis:	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 ? are uniquely determined by the measured data and numerical methods are given for determining both $\partial D$ and ? where neither one is known a priori. Numerical examples are given showing the viability of our method.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ec1d2caea0a6249389dd028be2ef4136 https://doi.org/10.1007/s10444-011-9179-2 Zobrazit plný text záznamu Full text from SpringerLink