Journal article

Fast deterministic approach to exit-wave reconstruction

AJ D'Alfonso, AJ Morgan, AV Martin, HM Quiney, LJ Allen

PHYSICAL REVIEW A | AMER PHYSICAL SOC | Published : 2012

Abstract

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 ptychograp..

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