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One-dimensional wave calculation is implemented for the synchrotron radiation source and optics with a crystal monochromator. Wave propagation on the crystal surface of the monochromator is simulated using the Riemann function, which is an analytical solution of Takagi-Taupin equations. For simplicity, Gaussian-beam approximation for undulator radiation is applied. The Pedellösung effect near the crystal surface of semi-infinite Bragg-case crystal is treated. It is shown that the beam profile is modified due to Pedellösung effect of 10 μm or more through the crystal monochromator. This is more remarkable for higher order reflection because of longer Pedellösung distance.
Shunji Goto
"Wave calculation of synchrotron radiation through crystal monochromator", Proc. SPIE 11837, Advances in X-Ray/EUV Optics and Components XVI, 118370H (21 September 2021); https://doi.org/10.1117/12.2595401
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Shunji Goto, "Wave calculation of synchrotron radiation through crystal monochromator," Proc. SPIE 11837, Advances in X-Ray/EUV Optics and Components XVI, 118370H (21 September 2021); https://doi.org/10.1117/12.2595401