A universal measure for coherence requirements in diffractive imaging

Bo Chen; Brian Abbey; Eugeniu Balaur; Grant van Reissen; Mark Junker; Michael W. M. Jones; Andrew G. Peele; Corey T. Putkunz; David Vine; Harry M. Quiney; Keith A. Nugent

doi:10.1117/12.2027269

26 September 2013 A universal measure for coherence requirements in diffractive imaging

Bo Chen, Brian Abbey, Eugeniu Balaur, Grant van Reissen, Mark Junker, Michael W. M. Jones, Andrew G. Peele, Corey T. Putkunz, David Vine, Harry M. Quiney, Keith A. Nugent

Author Affiliations +

Proceedings Volume 8851, X-Ray Nanoimaging: Instruments and Methods; 88510T (2013) https://doi.org/10.1117/12.2027269
Event: SPIE Optical Engineering + Applications, 2013, San Diego, California, United States

Abstract

The requirements on the spatial and temporal coherence for conventional Coherent Diffractive Imaging (CDI) have been well-established in the literature based on Shannon sampling of the diffracted intensities. The spatial coherence length of the illumination must be larger than twice the lateral dimensions of the sample whilst the temporal coherence length must be larger than the maximum optical path length difference between the two edges of the sample for the highest order diffraction peaks. However, recent approaches to CDI which have included knowledge of the spatial and temporal coherence information in the image reconstruction have allowed us to relax these conventional coherence constraints, extending the applicability of the technique to less coherent sources. In light of these developments it is useful to revisit the idea of a coherence limit in partially coherent CDI and establish a ‘universal’ limit on the partial coherence that can be tolerated without any loss of information. In this paper we present a simple and straightforward description of the limit of spatial and temporal coherence in partially coherent CDI.

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Bo Chen, Brian Abbey, Eugeniu Balaur, Grant van Reissen, Mark Junker, Michael W. M. Jones, Andrew G. Peele, Corey T. Putkunz, David Vine, Harry M. Quiney, and Keith A. Nugent "A universal measure for coherence requirements in diffractive imaging", Proc. SPIE 8851, X-Ray Nanoimaging: Instruments and Methods, 88510T (26 September 2013); https://doi.org/10.1117/12.2027269

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