New mathematical model for error reduction of stressed lap

Abstract. Stressed lap, compared to traditional polishing methods, has high processing efficiency. However, this method has disadvantages in processing nonsymmetric surface errors. A basic-function method is proposed to calculate parameters for a stressed-lap polishing system. It aims to minimize residual errors and is based on a matrix and nonlinear optimization algorithm. The results show that residual root-mean-square could be >15% after one process for classical trefoil error. The surface period errors close to the lap diameter were removed efficiently, up to 50% material removal.

[1]  Q. Fang,et al.  Effect of grinding wheel spindle vibration on surface roughness and subsurface damage in brittle material grinding , 2015 .

[2]  刘海涛,et al.  Edge effect modeling and experiments on active lap processing , 2014 .

[3]  刘海涛,et al.  Study on active lap tool influence function in grinding 1.8 m primary mirror , 2013 .

[4]  Fan Wu,et al.  Mathematical model for active lap to achieve unsymmetrical fabrication , 2012, Other Conferences.

[5]  Hubert M. Martin,et al.  Dwell time calculation for computer controlled large tool , 2012, Other Conferences.

[6]  K. Law,et al.  Production of 8.4m segments for the Giant Magellan Telescope , 2012, Other Conferences.

[7]  Shengyi Li,et al.  Optimization and application of influence function in abrasive jet polishing. , 2010, Applied optics.

[8]  Sug-Whan Kim,et al.  Non-sequential optimization technique for a computer controlled optical surfacing process using multiple tool influence functions. , 2009, Optics express.

[9]  Matt Johns.  The Giant Magellan Telescope (GMT) , 2008, Extremely Large Telescopes.

[10]  Rolf Rascher,et al.  Utilisation of time-variant influence functions in the computer controlled polishing , 2008 .

[11]  S. Warner,et al.  Manufacture of the second 8.4 m primary mirror for the Large Binocular Telescope , 2006, SPIE Astronomical Telescopes + Instrumentation.

[12]  Li Yang,et al.  The grind and polish prediction of computer controlled active lap , 2006, International Symposium on Advanced Optical Manufacturing and Testing Technologies (AOMATT).

[13]  Sug-Whan Kim,et al.  Static tool influence function for fabrication simulation of hexagonal mirror segments for extremely large telescopes. , 2005, Optics express.

[14]  Hubert M. Martin,et al.  Manufacture of 8.4-m off-axis segments: a 1/5-scale demonstration , 2004, SPIE Astronomical Telescopes + Instrumentation.

[15]  James H. Burdge.  Simulation and optimization for a computer-controlled large-tool polisher , 1999 .

[16]  Stephen J. Wright,et al.  Numerical Optimization , 2018, Fundamental Statistical Inference.

[17]  James Roger P. Angel,et al.  Fabrication and measured quality of the MMT primary mirror , 1998, Astronomical Telescopes and Instrumentation.

[18]  James H. Burge,et al.  Stressed-lap polishing of 3.5-m f/1.5 and 1.8-m f/1.0 mirrors , 1992, Optics & Photonics.