On the uniqueness of the inverse elastic scattering problem for periodic structures
type: Item
instance of: scholarly article
title: On the uniqueness of the inverse elastic scattering problem for periodic structures
zbMATH Open document ID: 1001.35123
DOI: 10.1088/0266-5611/17/6/323
author: Drossos Gintides
author: A. Charalambopoulos
author: Kiriakie Kiriaki
published in: Inverse Problems
publication date: 2002-02-28T00:00:00Z
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 74J25
zbMATH DE Number: 1713410
zbMATH Keywords: Navier equation
zbMATH Keywords: shape of the periodic structure
zbMATH Keywords: scattered elastic waves
zbMATH Keywords: uniqueness
zbMATH Keywords: eigenvalue problem for the Lamé operator
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1088/0266-5611/17/6/323
OpenAlex ID: W2006006581
review text: The authors study the inverse scattering problem to determine the shape of the periodic structure from measurements of the scattered elastic waves on a line above the structure. They derive a uniqueness result of Schiffer's type, i.e. the structure is uniquely determined if the scattered wave is known for a whole interval of frequencies. The main step in the proof is the investigation of an eigenvalue problem for the Lamé operator in a layer which is bounded from below and above by periodic functions.
reviewed by: Andreas Kirsch
description: scientific article; zbMATH DE number 1713410