Title of article :
ERROR ESTIMATES FOR PHASE RECOVERING FROM PHASELESS SCATTERING DATA
Author/Authors :
Novikov, R.G. Institut Polytechnique de Paris, Palaiseau, France , Sivkin, V.N. 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 :
Schr ̈odinger equation , monochromatic scattering data , phase recovering , phase- less inverse scattering
Journal title :
Eurasian Journal of Mathematical and Computer Applications
