V. Kushnir, TEMPERATURE DISTRIBUTION, DEFORMATIONS, AND X-RAY-DIFFRACTION IN THE INCLINED HIGH HEAT LOAD MONOCHROMATOR - ANALYTICAL SOLUTIONS, Review of scientific instruments, 65(11), 1994, pp. 3403-3407
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.