SCHIFFER THEOREM IN INVERSE SCATTERING-THEORY FOR PERIODIC STRUCTURES

Authors
HETTLICH F KIRSCH A
Citation
F. Hettlich et A. Kirsch, SCHIFFER THEOREM IN INVERSE SCATTERING-THEORY FOR PERIODIC STRUCTURES, Inverse problems, 13(2), 1997, pp. 351-361
Citations number
16
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics,"Physycs, Mathematical",Mathematics
Journal title
Inverse problems → ACNP
ISSN journal
02665611
Volume
13
Issue
2
Year of publication
1997
Pages
351 - 361
Database
ISI
SICI code
0266-5611(1997)13:2<351:STIISF>2.0.ZU;2-Z
Abstract
This paper is devoted to the inverse scattering problem to recover a p eriodic structure by scattered waves measured above the structure. It is shown that a finite number of incident plane waves is sufficient to identify the structure. Additionally by a monotonicity principle for the eigenvalues of the Laplacian some upper bounds of the required num ber of wavenumbers are presented if a priori information on the height of the structure is available.