TEMPERATURE DISTRIBUTION, DEFORMATIONS, AND X-RAY-DIFFRACTION IN THE INCLINED HIGH HEAT LOAD MONOCHROMATOR - ANALYTICAL SOLUTIONS

Analytical solutions for the temperature distribution and displacement field gradients in the high heat load monochromator are presented. Th e footprint of the incident x-ray beam on the crystal surface is appro ximated by an infinitely long narrow strip, which is applicable in the case of the inclined diffraction geometry. The two-dimensional proble m in the cross section of the crystal normal to the footprint is consi dered. The solutions for the temperature distribution and displacement field gradients are found in terms of Fourier integrals. These expres sions are also valid for x-ray mirrors. The deviation of the incident beam from exact Bragg position produced by this deformation is calcula ted. All numerical examples are calculated for the special undulator w hich is to be installed in the sector III of the Advanced Photon Sourc e.