title: Holographic x-ray image reconstruction through the application of differential and integral operators.
abstract: We introduce a noniterative image-reconstruction technique for coherent diffractive imaging. Through the application of differential and integral operators, an extended reference can be used to recover the complex-valued transmissivity of an object, in closed form, from a measurement of its far-field (Fraunhofer) diffraction intensity. We demonstrate the feasibility of this approach, using a reference of a pair of crossed wires and slits, through numerical simulations and a soft x-ray coherent diffractive imaging experiment.
authors.affiliation: The Institute of Optics, University of Rochester, Rochester, New York 14627, USA. mguizar@optics.rochester.edu
authors.forename: Manuel
authors.initials: M
authors.lastname: Guizar-Sicairos
authors.forename: Diling
authors.initials: D
authors.lastname: Zhu
authors.forename: James R
authors.initials: JR
authors.lastname: Fienup
authors.forename: Benny
authors.initials: B
authors.lastname: Wu
authors.forename: Andreas
authors.initials: A
authors.lastname: Scherz
authors.forename: Joachim
authors.initials: J
authors.lastname: Stöhr
mesh_terms: D017076:Computer-Aided Design; D004867:Equipment Design; D019544:Equipment Failure Analysis; D005240:Feasibility Studies; D006696:Holography / Q000295:instrumentation* / Q000379:methods; D011857:Radiographic Image Interpretation, Computer-Assisted / Q000295:instrumentation* / Q000379:methods*; D015203:Reproducibility of Results; D012680:Sensitivity and Specificity