The development of vibration modes propagation method to perform wave-optics simulation of beamline vibration

Abstract

The evolution from 3rd to 4th generation synchrotron radiation (SR) sources provide promising potential improvements in X-ray techniques, particularly in spatial resolution for imaging, temporal resolution for dynamic studies, and beam size control for nanoprobes. Achieving these enhancements demands effective vibration suppression in beamline systems. This challenge drives the need for optical designs that ensure efficient photon transport while maintaining vibration within acceptable thresholds. To address the advanced coherence requirements of fourth-generation SR sources, wave-optics simulations must be incorporated into optical design processes. We therefore propose a vibration mode propagation method using wave-optics techniques for beamline vibration simulation. Our approach achieves an almost 40-fold computational acceleration in actual beamline models compared to conventional methods, enabling direct analysis of propagating wavefront vibrations. This framework allows systematic evaluation of intensity distribution variations, coherence changes, and beam positioning errors caused by mechanical vibrations.