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Geloni, G.

 
Paper Title Page
WG121 Statistical Optics and Partially Coherent X-Ray Beams in Third Generation Light Sources  
 
  • G. Geloni, E. Saldin, E. Schneidmiller, M. V. Yurkov
    DESY, Hamburg
 
  A theory of transverse coherence properties of Undulator Radiation is described, based on a Statistical Optics approach, which accounts for the influence of the electron beam emittance. We propose a technique to calculate the cross-spectral density from undulator sources when quasi-homogeneous approximation of the source fails. Also, we find the region of applicability of the quasi-homogeneous model and we present an analytical expression for the cross-spectral density which is valid in free space. This expression characterizes the light source. In particular, it can be used to describe a virtual source which, put at a particular position along the photon beamline, produces, at any distance, the same field of the undulator device. Specification of the cross-spectral density at the virtual source position, together with Fourier Optics techniques, is the basis for any subsequent description of the propagation of the radiation beam through an optical imaging system.  
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