Phase recovery from phaseless scattering data for discrete Schrödinger operators

Abstract We consider scattering for the discrete Schrödinger operator on the square lattice Z d , d ⩾ 1 , with compactly supported potential. We give formulas for finding the phased scattering amplitude from phaseless near-field scattering data.

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Bibliographic Details
Published inInverse problems Vol. 39; no. 12; pp. 125006 - 125017
Main Authors Novikov, Roman, Sharma, Basant Lal
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.12.2023
Subjects
discrete Schrödinger operators
Mathematical Physics
Mathematics
monochromatic scattering data
phase retrieval
phaseless inverse scattering
Physics
Quantum Physics
discrete Schrödinger operators
phase retrieval
phaseless inverse scattering
monochromatic scattering data
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Summary:Abstract We consider scattering for the discrete Schrödinger operator on the square lattice Z d , d ⩾ 1 , with compactly supported potential. We give formulas for finding the phased scattering amplitude from phaseless near-field scattering data.
Bibliography:IP-104093.R1
ISSN:0266-5611
1361-6420
DOI:10.1088/1361-6420/ad03fe