title: Extending the possibilities in phase space analysis of synchrotron radiation x-ray optics.
abstract: A simple analytical approach to phase space analysis of the performance of x-ray optical setups (beamlines) combining several elements in position-angle-wavelength space is presented. The mathematical description of a large class of optical elements commonly used on synchrotron beamlines has been reviewed and extended with respect to the existing literature and is reported in a revised form. Novel features are introduced, in particular, the possibility to account for imperfections on mirror surfaces and to incorporate nanofocusing devices like refractive lenses in advanced beamline setups using the same analytical framework. Phase space analysis results of the simulation of an undulator beamline with focusing optics at the European Synchrotron Radiation Facility compare favorably with results obtained by geometric ray-tracing methods and, more importantly, with experimental measurements. This approach has been implemented into a simple and easy-to-use program toolkit for optical calculations based on the Mathematica software package.
authors.affiliation: European Synchrotron Radiation Facility, B.P. 220, F-38043 Grenoble Cedex, France. ferrero@esrf.fr
authors.forename: Claudio
authors.initials: C
authors.lastname: Ferrero
authors.forename: Detlef-Matthias
authors.initials: DM
authors.lastname: Smilgies
authors.forename: Christian
authors.initials: C
authors.lastname: Riekel
authors.forename: Gilles
authors.initials: G
authors.lastname: Gatta
authors.forename: Peter
authors.initials: P
authors.lastname: Daly
mesh_terms: D000465:Algorithms; D007089:Image Enhancement / Q000379:methods*; D007090:Image Interpretation, Computer-Assisted / Q000379:methods*; D011381:Programming Languages; D015203:Reproducibility of Results; D012680:Sensitivity and Specificity; D012984:Software; D017356:Synchrotrons; D014961:X-Ray Diffraction / Q000379:methods*