R. G. Novikov, V. N. Sivkin, “Error estimates for phase recovering from phaseless scattering data”, Eurasian Journal of Mathematical and Computer Applications, 2020, Volume 8, Issue 1,Pages <nobr>44

This article is cited in 3 papers

Error estimates for phase recovering from phaseless scattering data

R. G. Novikov^ab, V. N. Sivkin^c

^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.

MSC: 35J10, 35P25, 35R30, 81U40

Language: English

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