TY  - JOUR
AU  - D’Alfonso, A. J.
AU  - Morgan, A. J.
AU  - Martin, A. V.
AU  - Quiney, H. M.
AU  - Allen, L. J.
TI  - Fast deterministic approach to exit-wave reconstruction
JO  - Physical review / A
VL  - 85
IS  - 1
SN  - 1050-2947
CY  - College Park, Md.
PB  - APS
M1  - PUBDB-2015-05048
SP  - 013816
PY  - 2012
AB  - We introduce a fast, dependable algorithm to solve for the exit surface wave of a specimen in coherent diffractive imaging for a set of illumination conditions that are not unduly restrictive. It is shown that a direct solution of the phase problem from a diffraction pattern is obtained efficiently and uniquely. The algorithm is deterministic and is known a priori to converge to the correct solution in less than a predetermined number of steps. It is based on the conjugate gradient least-squares method implemented with Fourier transforms and offers the possibility of real-time solutions.We also extend the formulation to allow for imaging of extended objects in a manner similar to ptychography.
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000299115100006
DO  - DOI:10.1103/PhysRevA.85.013816
UR  - https://bib-pubdb1.desy.de/record/288579
ER  -