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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 34, Iss. 5 — Feb. 10, 1995
  • pp: 904–908

Spatial coherence of synchrotron radiation

R. Coïsson  »View Author Affiliations


Applied Optics, Vol. 34, Issue 5, pp. 904-908 (1995)
http://dx.doi.org/10.1364/AO.34.000904


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Abstract

The spatial coherence properties of a monochromatic component of synchrotron radiation from an insertion device in the Fraunhofer limit are analyzed in the general case when the coherence distance is comparable with the beam width, expressing them by simple products and convolutions of Fourier transforms and autocorrelations on the single-electron field amplitude and the electron-beam position and angular distributions. In particular, the Gaussian approximation is discussed, in which case the far-field amplitude satisfies the Schell condition 1its statistical properties can be described by a coherence factor depending only on the difference of the reciprocal space coordinates2, and this discussion leads to simple estimates of the coherence widths. The coherence widths deviate from the Van Cittert–Zernike values when one or more of the phase space widths of the electron beam are close to (or smaller than) the diffraction limit.

© 1995 Optical Society of America

History
Original Manuscript: September 7, 1993
Revised Manuscript: May 3, 1994
Published: February 10, 1995

Citation
R. Coïsson, "Spatial coherence of synchrotron radiation," Appl. Opt. 34, 904-908 (1995)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-34-5-904


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References

  1. See, for example, Handbook on Synchrotron Radiation, E. E. Koch, ed. (North-Holland, Amsterdam, 1983), Vols. 1–4.
  2. K.-J. Kim, “A new formulation of synchrotron radiation optics using the Wigner distribution,” in Insertion Devices for Synchrotron Sources, I. Lindau, R. Tatchyn, eds., Proc. Soc. Photo-Opt. Instrum. Eng.582, 2–9 (1986).
  3. S. Bartalucci, “An overview of programs for calculation of undulator radiation spectra,” in Insertion Devices for Synchrotron Sources, I. Lindau, R. Tatchyn, eds., Proc. Soc. Photo-Opt. Instrum. Eng.582, 32–37 (1986).
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  11. A. Friberg, E. Wolf, “Reciprocity relations with partially coherent sources,” Opt. Acta 30, 1417–1435 (1983). [CrossRef]
  12. R. Coïsson, “Source and far field coherence functions,” Note SPS/ABM/RC 81-11 (CERN, Geneva, 1981).
  13. A. Walther, “Radiometry and coherence,” J. Opt. Soc. Am. 58, 1256–1259 (1968). [CrossRef]
  14. A. Papoulis, “Ambiguity function in Fourier optics,” J. Opt. Soc. Am. 64, 779–788 (1974). [CrossRef]
  15. R. Coïsson, R. P. Walker, “Phase space distribution of brilliance of undulator sources,” in Insertion Devices for Synchrotron Sources, I. Lindau, R. Tatchyn, eds., Proc. Soc. Photo-Opt. Instrum. Eng.582, 24–29 (1986).
  16. R. Coïsson, “Effective phase space widths of undulator radiation,” Opt. Eng. 27, 250–252 (1988).
  17. R. Coïsson, B. Diviacco, “Practical estimates of peak flux and brilliance of undulator radiation on even harmonics,” Appl. Opt. 27, 1376–1377 (1988). [CrossRef] [PubMed]
  18. G. Grübel, J. Als-Nielsen, D. Abernathy, G. Vignaud, S. Brauer, G. B. Stephenson, S. G. J. Mochrie, M. Sutton, I. K. Robinson, R. Fleming, R. Pindak, S. Dierker, J. F. Leg-rand, “Scattering with coherent X-rays,” ESRF Newsletter (European Synchrotron Radiation Facility, Grenoble, France, 1994), pp. 14–15.
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