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Eurasian Journal of Mathematical and Computer Applications, 2020, Volume 8, Issue 1, Pages 44–61
DOI: https://doi.org/10.32523/2306-6172-2020-8-1-44-61 (Mi ejmca150) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Error estimates for phase recovering from phaseless scattering data

R. G. Novikovab, V. N. Sivkinc

a CMAP, CNRS, Ecole Polytechnique, Institut Polytechnique de Paris, 91128 Palaiseau, France
b IEPT RAS, 117997 Moscow, Russia
c Lomonosov MSU, Faculty of Mechanics and Mathematics, Moscow, Russia
Full-text PDF (447 kB) Citations (3)
DOI: https://doi.org/10.32523/2306-6172-2020-8-1-44-61
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: Schrodinger equation, monochromatic scattering data, phase recovering, phaseless inverse scattering.
Bibliographic databases:
Document Type: Article
MSC: 35J10, 35P25, 35R30, 81U40
Language: English
Citation: R. G. Novikov, V. N. Sivkin, “Error estimates for phase recovering from phaseless scattering data”, Eurasian Journal of Mathematical and Computer Applications, 8:1 (2020), 44–61
Citation in format AMSBIB
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\paper Error estimates for phase recovering from phaseless scattering data
\jour Eurasian Journal of Mathematical and Computer Applications
\yr 2020
\vol 8
\issue 1
\pages 44--61
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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