Creating von Laue patterns in crystal scattering with partially coherent sources

Yangyundou Wang, David Kuebel, Taco D. Visser, and Emil Wolf

Phys. Rev. A 94, 033812 – Published 9 September 2016

Abstract

When spatially coherent radiation is diffracted by a crystalline object, the field is scattered in specific directions, giving rise to so-called von Laue patterns. We examine the role of spatial coherence in this process. Using the first-order Born approximation, a general analytic expression for the far-zone spectral density of the scattered field is obtained. This equation relates the coherence properties of the source to the angular distribution of the scattered intensity. We apply this result to two types of sources. Quasihomogeneous Gaussian Schell-model sources are found to produce von Laue spots whose size is governed by the effective source width. Delta-correlated ring sources produce von Laue rings and ellipses instead of point-like spots. In forward scattering, polychromatic ellipses are created, whereas in backscattering striking, overlapping ring patterns are formed. We show that both the directionality and the wavelength-selectivity of the scattering process can be controlled by the state of coherence of the illuminating source.

Received 7 June 2016

DOI:https://doi.org/10.1103/PhysRevA.94.033812

Physics Subject Headings (PhySH)

Light propagation, transmission & absorption

Atomic, Molecular & Optical

Authors & Affiliations

Yangyundou Wang

School of Marine Science and Technology/School of Electronics and Information, Northwestern Polytechnical University, 710072 Xian, China

David Kuebel

St. John Fisher College, Rochester, New York 14618, USA and Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627, USA

Taco D. Visser

School of Marine Science and Technology/School of Electronics and Information, Northwestern Polytechnical University, 710072 Xian, China; Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627, USA; Department of Physics and Astronomy, Vrije Universiteit, 1081 HV Amsterdam, The Netherlands; and Department of Electrical Engineering, Delft University of Technology, 2620 CD Delft, The Netherlands

Emil Wolf

Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627, USA and Institute of Optics, University of Rochester, Rochester, New York 14627, USA

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Issue

Vol. 94, Iss. 3 — September 2016

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