Remarks on the phaseless inverse uniqueness of a three-dimensional Schrödinger scattering problem
type: Item
instance of: scholarly article
title: Remarks on the phaseless inverse uniqueness of a three-dimensional Schrödinger scattering problem
zbMATH Open document ID: 1372.35359
DOI: 10.1155/2016/6031523
author: Lung-Hui Chen
published in: Advances in Mathematical Physics
publication date: 2017-01-17T00:00:00Z
review text: Summary: We consider the inverse scattering theory of the Schrödinger equation. The inverse problem is to identify the potential scatterer by the scattered waves measured in the far-fields. In some micro/nanostructures, it is impractical to measure the phase information of the scattered wave field emitted from the source. We study the asymptotic behavior of the scattering amplitudes/intensity from the linearization theory of the scattered wave fields. The inverse uniqueness of the scattered waves is reduced to the inverse uniqueness of the analytic function. We deduce the uniqueness of the Schrödinger potential via the identity theorems in complex analysis.
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 35J10
Mathematics Subject Classification ID: 35P25
zbMATH DE Number: 6675513
zbMATH Keywords: inverse problems
zbMATH Keywords: scattering theory
zbMATH Keywords: Schrödinger operator
zbMATH Keywords: uniqueness
Wikidata QID: Q59122527
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/6031523
OpenAlex ID: W2552019585
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description: scientific article; zbMATH DE number 6675513