Error estimates for phase recovering from phaseless scattering data
Eurasian journal of mathematical and computer applications, Tome 8 (2020) no. 1, pp. 44-61
Cet article a éte moissonné depuis la source Math-Net.Ru
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.
@article{EJMCA_2020_8_1_a2,
author = {R. G. Novikov and V. N. Sivkin},
title = {Error estimates for phase recovering from phaseless scattering data},
journal = {Eurasian journal of mathematical and computer applications},
pages = {44--61},
year = {2020},
volume = {8},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJMCA_2020_8_1_a2/}
}
TY - JOUR AU - R. G. Novikov AU - V. N. Sivkin TI - Error estimates for phase recovering from phaseless scattering data JO - Eurasian journal of mathematical and computer applications PY - 2020 SP - 44 EP - 61 VL - 8 IS - 1 UR - http://geodesic.mathdoc.fr/item/EJMCA_2020_8_1_a2/ LA - en ID - EJMCA_2020_8_1_a2 ER -
R. G. Novikov; V. N. Sivkin. Error estimates for phase recovering from phaseless scattering data. Eurasian journal of mathematical and computer applications, Tome 8 (2020) no. 1, pp. 44-61. http://geodesic.mathdoc.fr/item/EJMCA_2020_8_1_a2/