Modeling Perfect Crystals in Transmission Geometry for Synchrotron Radiation Monochromator Design

M. Sánchez del Río and C. Ferrero
European Synchrotron Radiation Facility, BP 220, 30043 Grenoble-Cedex (France)

G-J Chen and F. Cerrina
Center for X-ray Lithography, 3731 Schneider Drive, Stoughton, Wisconsin 53589


We present here a modeling of Laue crystals in the framework of the ray-tracing program SHADOW [1]. In
this program, the equations of the dynamical theory of x-ray diffraction have been coded to allow calculations of
the diffracted intensity distributions. For thin and weakly absorbing crystal these profiles exhibit strong
oscillations as consequence of the Pendellösung effect.These patterns produce an also oscillating value of the
integrated intensity as a function of photon energy. The thickness of the crystal can be adjusted in order to
optimize its optical performance for a given energy range. We analyze different examples of thickness
optimization for such crystals. The performance of a Laue-Bragg monochromator is then compared to that of a
standard Bragg-Bragg monochromator for a beamline configuration.