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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.

6 Issues per year


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

J. Elschner / G. Schmidt / M. Yamamoto

Weierstrass Institut für Angewandte Analysis und Stochastik, Mohrenstrasse 39, D-10117, Berlin, Germany. E-mails: ,

Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba Meguro, 153-8914, Tokyo, Japan. E-mail:

Citation Information: Journal of Inverse and Ill-posed Problems jiip. Volume 11, Issue 3, Pages 235–244, ISSN (Online) 1569-3953, ISSN (Print) 0928-0219, DOI: 10.1515/156939403769237024,

Publication History

Published Online:

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.

Citing Articles

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[1]
Masahiro Yamamoto, Guanghui Hu, and Johannes Elschner
Inverse Problems and Imaging, 2015, Volume 9, Number 1, Page 127
[2]
J Elschner, G Schmidt, and M Yamamoto
Inverse Problems, 2003, Volume 19, Number 3, Page 779
[3]
Jiaqing Yang and Bo Zhang
Mathematical Methods in the Applied Sciences, 2012, Volume 35, Number 7, Page 828
[4]
Guanghui Hu, Fenglong Qu, and Bo Zhang
Mathematical Methods in the Applied Sciences, 2012, Volume 35, Number 9, Page 1047
[5]
Jiaqing Yang and Bo Zhang
Applicable Analysis, 2012, Volume 91, Number 4, Page 841
[6]
Jiaqing Yang and Bo Zhang
Inverse Problems, 2011, Volume 27, Number 12, Page 125010
[7]
Johannes Elschner and Guanghui Hu
Inverse Problems, 2010, Volume 26, Number 11, Page 115002

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