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

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	44-61
Number of pages	18
Journal	Eurasian Journal of Mathematical and Computer Applications
Volume	8
Issue number	1
DOIs	https://doi.org/10.32523/2306-6172-2020-8-1-44-61
Publication status	Published - 1 Jan 2020

Keywords

Monochromatic scattering data
Phase recovering
Phaseless inverse scattering
Schrodinger equation

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

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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",

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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

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

Abstract

Keywords

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