We present a theoretical modeling method to predict the ring tool influence function (TIF) based on the computer-controlled active lap process. The gap on the lap-grinding layer is considered, and its influence on the ring TIF is analyzed too. The relationship between the shape of the ring TIF and the lap-workpiece rotation speed ratio is discussed in this paper. The recipe for calculating dwell time for axisymmetric fabrication is discussed. The grinding process of a 1.8 m primary mirror is improved based on these results. The grinding process is accomplished after 30 circles of grinding, and the surface shape error is from PV 82 μm RMS 16.4 μm reduced to PV 13.5 μm RMS 2.5 μm.
© 2013 Optical Society of America
Optical Design and Fabrication
Original Manuscript: August 2, 2013
Revised Manuscript: September 30, 2013
Manuscript Accepted: October 2, 2013
Published: October 24, 2013
Liu Haitao, Zeng Zhige, Wu Fan, Fan Bin, and Wan Yongjian, "Study on active lap tool influence function in grinding 1.8 m primary mirror," Appl. Opt. 52, 7504-7511 (2013)