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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
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.
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
Linking options:
https://www.mathnet.ru/eng/ejmca150 https://www.mathnet.ru/eng/ejmca/v8/i1/p44
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Abstract page: | 158 | Full-text PDF : | 60 |
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