Two high-order polynomial bendable mirrors in the TLS infrared beamline

Shean-Jen Chen*, C. K. Kuan, S. Y. Perng, D. J. Wang, H. C. Ho, T. C. Tseng, C. T. Chen, Y. C. Lo

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

1 Scopus citations


This study presents a Kirkpatrick-Baez (K-B) mirror system which includes two high-order polynomial bendable mirrors in a Taiwan Light Source (TLS) infrared beamline to create and adjust more accurately collimating images on a focusing point. The source of infrared rays is synchrotron radiation from a TLS bending magnet, so the surface of a vertical focusing mirror (VFM) is designed in an elliptical shape. The Runge-Kutta numerical method is used to compute the optimal high-order polynomial shape of the horizontal focusing mirror (HFM), to focus the horizontal arc source on the point image. The HFM and VFM using 17-4 PH stainless steel substrate without an electroless nickel plate are mechanically bent from planar to the desired fifth-order polynomial shapes with central radii of 3.74 m and 5.43 m by the application of equal couples, respectively. The mirror fabrication process, mechanical design, and the method of adjusting the mirror shape using the Long Trace Profiler (LTP) measurement system are described. Finally, the roughness of mirrors is 3 Angstrom RMS. After the mirrors have been bent, the slope error over 2/3 of clear aperture length (170 mm) was reduced to less than 6.3 μ rad RMS.

Original languageEnglish
Pages (from-to)29-36
Number of pages8
JournalProceedings of SPIE - The International Society for Optical Engineering
StatePublished - 1 Dec 1999
EventProceedings of the 1999 Accelerator-based Sources of Infrared and Spectroscopic Applications - Denver, CO, USA
Duration: 19 Jul 199920 Jul 1999

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