doi:10.1016/j.elspec.2005.01.230
Copyright © 2005 Elsevier B.V. All rights reserved.
Phase space density measurement of interfering X-rays
References and further reading may be available for this article. To view references and further reading you must
purchase this article.
C.Q. Trana, A.G. Peelea, D. Patersonb, A. Robertsa, I. McNultyb and K.A. Nugenta, 
, 
aSchool of Physics, The University of Melbourne, Vic. 3010, Australia
bAdvanced Photon Source, Argonne National Laboratory, 9700 South Cass Ave, Argonne, IL 60439, USA
Available online 7 March 2005.
Abstract
We report a reconstruction of the phase space distribution of an X-ray beam after it has passed through a set of Young's slits. The resulting interference pattern has a quasi-probability distribution that has negative regions that do not have a classical interpretation. We experimentally reconstruct and observe these negative parts of the phase space distribution.
Keywords: Phase space density distribution; X-rays coherence; Young's slits
Fig. 1. Simulation of the phase space density function of a one-dimensional 1.5 keV X-ray beam defined by a double-slit aperture of 2 μm width and 10 μm separation. The calculation follows Eqs. (1), (2) and (3).
Fig. 2. Intensity distribution I(x,z) measured from an interfering beam defined by a double-slit aperture of 2.0 μm wide and 10 μm separation. The measurements were carried out at more than 100 positions ranging from z ≈ 0 to 1.688 m.
Fig. 3. A sample experimental Young's interference pattern, measured at the position z = 1.688 m. The statistical noise is at the order of 1% resulting in clearly defined fringes.
Fig. 4. The phase space density function reconstructed by applying Eqs. (5) and (6) on the measured data. The result does not contain detailed features as predicted in Fig. 1 due to the 5 μm spatial resolution of the detector.
Fig. 5. Convolution of a 5 μm top hat function with the simulated phase space density function (Fig. 1) to model the effect of the 5 μm spatial resolution of the detector. The reconstructed result (Fig. 6) agrees very well with the simulation.
Fig. 6. Isometric plot of the reconstructed phase space distribution. The negative quasi-probability regions are clearly seen.
Corresponding author.
Abstract
Purchase PDF (177 K)
E-mail Article
Add to my Quick Links
Cited By in Scopus (1)
Purchase PDF (419 K)
