Development and applications of a two-dimensional tip-tilting stage system with nanoradian-level positioning resolution

In this paper, designs of a novel rotary weak-link stage for a vertical rotation axis and a two-dimensional tip-tilting system are presented. Applications of these new stage systems include: an advanced X-ray stereo imaging instrument for particle tracking velocimetry, an alignment stage system for hard X-ray nano-focusing Montel mirror optics, and an ultra-precision crystal manipulator for cryo-cooling optical cavities of an X-ray free-electron-laser oscillator (XFELO).