Global uniqueness in determining rectangular periodic structures by scattering data with a single wave number

Verfasser / Beitragende:
[J. Elschner, G. Schmidt, M. Yamamoto]
Ort, Verlag, Jahr:
2003
Enthalten in:
Journal of Inverse and Ill-posed Problems, 11/3(2003-09-01), 235-244
Format:
Artikel (online)
ID: 378866575
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024 7 0 |a 10.1515/156939403769237024  |2 doi 
035 |a (NATIONALLICENCE)gruyter-10.1515/156939403769237024 
245 0 0 |a Global uniqueness in determining rectangular periodic structures by scattering data with a single wave number  |h [Elektronische Daten]  |c [J. Elschner, G. Schmidt, M. Yamamoto] 
520 3 |a We consider an inverse scattering problem of determining a periodic structure by near-field observations of the total field. We prove the global uniqueness results in both cases of the transverse electric polarization and the transverse magnetic polarization within the class of rectangular periodic structures by a single choice of any wave number. The proof is based on the analyticity of solutions to the Helmholtz equation. 
540 |a Copyright 2003, Walter de Gruyter 
700 1 |a Elschner  |D J.  |u Weierstrass Institut für Angewandte Analysis und Stochastik, Mohrenstrasse 39, D-10117, Berlin, Germany. E-mails: elschner@wias-berlin.de, schmidt@wias-berlin.de  |4 aut 
700 1 |a Schmidt  |D G.  |u Weierstrass Institut für Angewandte Analysis und Stochastik, Mohrenstrasse 39, D-10117, Berlin, Germany. E-mails: elschner@wias-berlin.de, schmidt@wias-berlin.de  |4 aut 
700 1 |a Yamamoto  |D M.  |u Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba Meguro, 153-8914, Tokyo, Japan. E-mail: myama@ms.u-tokyo.ac.jp  |4 aut 
773 0 |t Journal of Inverse and Ill-posed Problems  |d Walter de Gruyter  |g 11/3(2003-09-01), 235-244  |x 0928-0219  |q 11:3<235  |1 2003  |2 11  |o jiip 
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950 |B NATIONALLICENCE  |P 700  |E 1-  |a Elschner  |D J.  |u Weierstrass Institut für Angewandte Analysis und Stochastik, Mohrenstrasse 39, D-10117, Berlin, Germany. E-mails: elschner@wias-berlin.de, schmidt@wias-berlin.de  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Schmidt  |D G.  |u Weierstrass Institut für Angewandte Analysis und Stochastik, Mohrenstrasse 39, D-10117, Berlin, Germany. E-mails: elschner@wias-berlin.de, schmidt@wias-berlin.de  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Yamamoto  |D M.  |u Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba Meguro, 153-8914, Tokyo, Japan. E-mail: myama@ms.u-tokyo.ac.jp  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Inverse and Ill-posed Problems  |d Walter de Gruyter  |g 11/3(2003-09-01), 235-244  |x 0928-0219  |q 11:3<235  |1 2003  |2 11  |o jiip 
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