Inverse scattering without phase information
Texte intégral
Documents relatifs
In general, on a surface with genus g and N Euclidean ends, we can use the Riemann-Roch theorem to construct holomorphic functions with linear or quadratic growth in the ends,
On the other hand, in view of the Born rule, from applied point of view, Problems 1.3a, 1.3b and similar phaseless inverse scattering problems are much more important than
We consider phaseless inverse scattering for the multidimensional Schrodinger equation with unknown potential v using the method of known background scatterers.. In particular,
In [17], using a special norm for the scattering amplitude f , it was shown that the stability estimates for Problem 1.1 follow from the Alessandrini stability estimates of [1] for
Subjects: 35R30 (inverse problems for PDEs), 65N21 (numerical analysis of inverse problems for PDEs), 35P25 (scattering theory), 35J10 (Schr¨ odinger operator), 35Q53
The first aim of this paper is to establish Lipschitz stability results for the inverse scattering problem of determining the low-frequency component (lower than the
Our estimates are given in uniform norm for coefficient difference and related stability precision efficiently increases with increasing energy and coefficient difference regularity..
We propose an iterative approximate reconstruction algorithm for non- overdetermined inverse scattering at fixed energy E with incomplete data in dimension d ≥ 2... (1.11) In this