The paper titled “Phaseless inverse scattering with background information” was published in “Inverse Problems” (Q1 WoS) journal. Doctor of Physical and Mathematical sciences, Senior Researcher of IEPT RAS Novikov R.G. is one of coauthors.
The work deals with phaseless inverse scattering for the multidimensional Schrödinger equation with unknown potential v using the method of known background scatterers.
In particular, in dimension d ⩾ 2, the authors show that |f1|2 at high energies uniquely determines v via explicit formulas, where f1 is the scattering amplitude for v + w1, where w1 is an a priori known nonzero background scatterer, under the condition that supp v and supp w1 are sufficiently disjoint.More“Inverse scattering – Fourier analysis – phase retrieval”