Remarks on the Phaseless Inverse Uniqueness of a Three-Dimensional Schrödinger Scattering Problem
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-11-13
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Chen, Lung-Hui. 2016. Remarks on the Phaseless Inverse Uniqueness of a Three-Dimensional Schrödinger Scattering Problem. Advances in Mathematical Physics،Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1095865
Modern Language Association (MLA)
Chen, Lung-Hui. Remarks on the Phaseless Inverse Uniqueness of a Three-Dimensional Schrödinger Scattering Problem. Advances in Mathematical Physics No. 2016 (2016), pp.1-8.
https://search.emarefa.net/detail/BIM-1095865
American Medical Association (AMA)
Chen, Lung-Hui. Remarks on the Phaseless Inverse Uniqueness of a Three-Dimensional Schrödinger Scattering Problem. Advances in Mathematical Physics. 2016. Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1095865
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1095865