Keywords:
Forschungsbericht
Description / Table of Contents:
The paper is devoted to the inverse problem of recovering a 2D periodic structure from scattered waves measured above and below the structure. We show that measurements corresponding to a finite number of refractive indices above or below the grating profile, uniquely determine the periodic interface in the inverse TE transmission problem. If a priori information on the height of the diffraction grating is available, then we also obtain upper bounds of the required number of wavenumbers by using the Courant-Weyl min-max principle for a fourth-order elliptic problem. This extends uniqueness results by Hettlich and Kirsch [11] to the inverse transmission problem.
Type of Medium:
Online Resource
Pages:
1 Online-Ressource (17 Seiten, 262,28 KB)
Series Statement:
Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V. no. 932
URL:
http://webdoc.sub.gwdg.de/ebook/serien/e/wias/2004/2004/wias_preprints_932.pdf
URL:
https://edocs.tib.eu/files/e01fn21/504273949.pdf
DDC:
510
Language:
English
Note:
Literaturverzeichnis: Seite 14-15
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