How many photons are needed to reconstruct random objects in coherent X‐ray diffractive imaging?. Issue 1 (24th November 2016)

• Record Type: Journal Article
• Authors: Jahn, T.; Wilke, R. N.; Chushkin, Y.; Salditt, T.
• Is Part Of: Acta crystallographica. Volume 73:Issue 1(2017:Jan.)
• Page Start: 19
• Page End: 29
• Publication Date: 2016-11-24
• Subjects: coherent X‐ray diffractive imaging -- CDI -- image reconstruction -- phase retrieval -- maximum likelihood; Crystallography -- Periodicals; Condensed matter -- Periodicals; 548
• DOI: 10.1107/S2053273316015114
• Languages: English
• ISSNs: 2053-2733

Abstract

Abstract : The critical photon fluence for reconstructing objects from noisy diffraction patterns is computed by a maximum‐likelihood estimator, for the optical near‐ and far‐field regimes, of random binary bitmap images as a function of contrast value. Abstract : This paper presents an investigation of the reconstructibility of coherent X‐ray diffractive imaging diffraction patterns for a class of binary random `bitmap' objects. Combining analytical results and numerical simulations, the critical fluence per bitmap pixel is determined, for arbitrary contrast values (absorption level and phase shift), both for the optical near‐ and far‐field. This work extends previous investigations based on information theory, enabling a comparison of the amount of information carried by single photons in different diffraction regimes. The experimental results show an order‐of‐magnitude agreement.