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Automated stitching interferometry for high-precision metrology of X-ray mirrors.
Applied Optics
|June 10, 2026
Summary
This study introduces an automated alignment solution for X-ray mirror metrology using Zernike coefficients. The Zernike-based feedback system improves measurement efficiency and reliability for high-precision applications.
Area of Science:
- Optics and Metrology
- Materials Science
- Mechanical Engineering
Background:
- Automated stitching interferometry is crucial for high-precision metrology of synchrotron X-ray mirrors.
- Robust automated alignment is a significant technical challenge in current metrology systems.
Purpose of the Study:
- To develop a comprehensive automated solution for aligning X-ray mirrors.
- To overcome the limitations of conventional alignment methods and improve measurement reliability and efficiency.
Main Methods:
- A Zernike-based closed-loop feedback mechanism was employed.
- Analytical decoupling of pitch and roll errors using Zernike coefficients.
- A dynamic variable-gain logic for monotonic convergence.
- A hierarchical, asynchronous, multi-threaded control architecture to standardize mechanical settling times.
Main Results:
- Achieved a residual error of 0.48 nm RMS on a 400 mm elliptical mirror.
- Geometric parameter errors were below 0.3%.
- Demonstrated a repeatability of 0.17 nm RMS on a 600 mm flat mirror.
Conclusions:
- The proposed control strategy significantly enhances measurement efficiency and reliability for advanced X-ray mirrors.
- The Zernike-based approach offers a robust solution for automated mirror alignment in diffraction-limited storage rings.

