caa a22 4500 378866575 CHVBK 20180305123359.0 cr unu---uuuuu 161128e20030901xx s 000 0 eng 10.1515/156939403769237024 doi (NATIONALLICENCE)gruyter-10.1515/156939403769237024 Global uniqueness in determining rectangular periodic structures by scattering data with a single wave number [Elektronische Daten] [J. Elschner, G. Schmidt, M. Yamamoto] 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. Copyright 2003, Walter de Gruyter Elschner J. Weierstrass Institut für Angewandte Analysis und Stochastik, Mohrenstrasse 39, D-10117, Berlin, Germany. E-mails: elschner@wias-berlin.de, schmidt@wias-berlin.de aut Schmidt G. Weierstrass Institut für Angewandte Analysis und Stochastik, Mohrenstrasse 39, D-10117, Berlin, Germany. E-mails: elschner@wias-berlin.de, schmidt@wias-berlin.de aut Yamamoto M. 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 aut Journal of Inverse and Ill-posed Problems Walter de Gruyter 11/3(2003-09-01), 235-244 0928-0219 11:3<235 2003 11 jiip https://doi.org/10.1515/156939403769237024 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.1515/156939403769237024 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Elschner J. Weierstrass Institut für Angewandte Analysis und Stochastik, Mohrenstrasse 39, D-10117, Berlin, Germany. E-mails: elschner@wias-berlin.de, schmidt@wias-berlin.de aut NATIONALLICENCE 700 1- Schmidt G. Weierstrass Institut für Angewandte Analysis und Stochastik, Mohrenstrasse 39, D-10117, Berlin, Germany. E-mails: elschner@wias-berlin.de, schmidt@wias-berlin.de aut NATIONALLICENCE 700 1- Yamamoto M. 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 aut NATIONALLICENCE 773 0- Journal of Inverse and Ill-posed Problems Walter de Gruyter 11/3(2003-09-01), 235-244 0928-0219 11:3<235 2003 11 jiip CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter