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In this work, we present a physical and theoretical description of the significant degradation of X-ray spatial coherence properties due to the use of grating monochromators at synchrotron facilities. We present a comprehensive study of the effects of spatial coherence degradation as a function of grating parameters under different focusing and propagation conditions. The focus is on the effect of spatial coherence degradation caused by the grating alone, starting from a fully coherent incident photon beam generated by a filament source. The mathematical description and theoretical analysis of the spatial coherence degradation is presented in the framework of statistical optics.

Hanbury Brown and Twiss interferometry experiment based on second-order correlations was performed at PAL-XFEL facility. The statistical properties of the X-ray radiation were studied within this experiment. Measurements were performed at NCI beamline at 10 keV photon energy in various operation conditions: Self-Amplified Spontaneous Emission (SASE), SASE with a monochromator, and self-seeding regimes at 120 pC, 180 pC, and 200 pC electron bunch charge, respectively. Statistical analysis showed short average pulse duration from 6 fs to 9 fs depending on operation conditions. A high spatial degree of coherence of about 70-80% was determined in spatial domain for the SASE beams with the monochromator and self-seeding regime of operation. The obtained values describe the statistical properties of the beams generated at PAL-XFEL facility., Comment: 30 pages, 10 figures, 2 tables

The (spectral) brightness for partially transverse coherent sources as Synchrotron Radiation (SR) and Free-Electron Laser (FEL) sources can be defined as the maximum of the Wigner distribution. Then, the brightness includes information on both coherence and wavefront characteristics of the radiation field. For undulator sources, it is customary to approximate the single-electron electric field at resonance with a Gaussian beam, leading to great simplifications. Attempts to account for the modified spatial and angular profile of the undulator radiation in the presence of detuning due to energy spread currently build on the simplified brightness expression derived under the assumption of Gaussian beams. The influence of energy spread on undulator radiation properties is becoming important in view of diffraction-limited rings with ultralow emittance coming on-line. Here we discuss the effects of energy spread on the brightness of undulator radiation at resonance, as well as relevant relations with coherence properties., Comment: Preprint accepted for publication in the Journal of Synchrotron radiation, 30 pages, 8 figures