Abstract

To manufacture a large aspheric mirror in higher efficiency and higher precision,a new method by using multi-mode optimization is proposed to improve material removal efficiency and surface convergence rates.On the basis of matrix calculation,this method optimizes multi-processing cycle in one optimizing processing simultaneously and extends the calculating process of the dwell time for traditional Tool Influence Functions(TIF)to complete the integrating optimizing solution of multi TIF.As the solution area of dwell time is extended,the bigger grinding head and the small one have complementary advantages and obtain a global optimization for multi grinding heads and multi-processing cycles.In the end,an error map is simulated with actual parameters by using computer virtual multi-mode method.The simulation result shows that the multi-mode technique can improve the processing efficiency by 50%as compared with traditional method and its convergence rate(RMS value)is the same as that of the smaller grinding head.When the simulation is on the real surface,the RMS changes from 0.011 5to 0.004 4and the convergence rate is 0.621 2,which satisfies the requirements of real manufacture.The multi-mode technique improves polishing efficiency in maintaining good precision and is an attractive solution for the large optical aspheric mirror fabrication.

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