Error estimates for phase recovering from phaseless scattering data

R. G. Novikov; V. N. Sivkin

doi:10.32523/2306-6172-2020-8-1-44-61

Error estimates for phase recovering from phaseless scattering data

R. G. Novikov
, V. N. Sivkin

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We study the simplest explicit formulas for approximate finding the complex scattering amplitude from modulus of the scattering wave function. We obtain detailed error estimates for these formulas in dimensions d = 3 and d = 2.

langue originale	Anglais
Pages (de - à)	44-61
Nombre de pages	18
journal	Eurasian Journal of Mathematical and Computer Applications
Volume	8
Numéro de publication	1
Les DOIs	https://doi.org/10.32523/2306-6172-2020-8-1-44-61
état	Publié - 1 janv. 2020

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10.32523/2306-6172-2020-8-1-44-61

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@article{c79ec69f612344148805e173165f5e89,

title = "Error estimates for phase recovering from phaseless scattering data",

abstract = "We study the simplest explicit formulas for approximate finding the complex scattering amplitude from modulus of the scattering wave function. We obtain detailed error estimates for these formulas in dimensions d = 3 and d = 2.",

keywords = "Monochromatic scattering data, Phase recovering, Phaseless inverse scattering, Schrodinger equation",

author = "Novikov, \{R. G.\} and Sivkin, \{V. N.\}",

note = "Publisher Copyright: {\textcopyright} 2020 L.N. Gumilyov Eurasian National University.",

year = "2020",

month = jan,

day = "1",

doi = "10.32523/2306-6172-2020-8-1-44-61",

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T1 - Error estimates for phase recovering from phaseless scattering data

AU - Novikov, R. G.

AU - Sivkin, V. N.

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N2 - We study the simplest explicit formulas for approximate finding the complex scattering amplitude from modulus of the scattering wave function. We obtain detailed error estimates for these formulas in dimensions d = 3 and d = 2.

AB - We study the simplest explicit formulas for approximate finding the complex scattering amplitude from modulus of the scattering wave function. We obtain detailed error estimates for these formulas in dimensions d = 3 and d = 2.

KW - Monochromatic scattering data

KW - Phase recovering

KW - Phaseless inverse scattering

KW - Schrodinger equation

UR - https://www.scopus.com/pages/publications/85084311874

U2 - 10.32523/2306-6172-2020-8-1-44-61

DO - 10.32523/2306-6172-2020-8-1-44-61

M3 - Article

AN - SCOPUS:85084311874

SN - 2306-6172

VL - 8

SP - 44

EP - 61

JO - Eurasian Journal of Mathematical and Computer Applications

JF - Eurasian Journal of Mathematical and Computer Applications

IS - 1

ER -

Error estimates for phase recovering from phaseless scattering data

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