scholarly journals An Elementary Approximation of Dwell Time Algorithm for Ultra-Precision Computer-Controlled Optical Surfacing

Micromachines ◽  
2021 ◽  
Vol 12 (5) ◽  
pp. 471
Author(s):  
Yajun Wang ◽  
Yunfei Zhang ◽  
Renke Kang ◽  
Fang Ji
Keyword(s):  
Dwell Time ◽  
Convergence Rates ◽  
Rotational Symmetry ◽  
Time Algorithm ◽  
Two Dimensions ◽  
Efficient Computation ◽  
Deconvolution Problem ◽  
Ultra Precision ◽  
Computer Controlled Optical Surfacing ◽  
Computer Controlled

The dwell time algorithm is one of the key technologies that determines the accuracy of a workpiece in the field of ultra-precision computer-controlled optical surfacing. Existing algorithms mainly consider meticulous mathematics theory and high convergence rates, making the computation process more uneven, and the flatness cannot be further improved. In this paper, a reasonable elementary approximation algorithm of dwell time is proposed on the basis of the theoretical requirement of a removal function in the subaperture polishing and single-peak rotational symmetry character of its practical distribution. Then, the algorithm is well discussed with theoretical analysis and numerical simulation in cases of one-dimension and two-dimensions. In contrast to conventional dwell time algorithms, this proposed algorithm transforms superposition and coupling features of the deconvolution problem into an elementary approximation issue of function value. Compared with the conventional methods, it has obvious advantages for improving calculation efficiency and flatness, and is of great significance for the efficient computation of large-aperture optical polishing. The flatness of φ150 mm and φ100 mm workpieces have achieved PVr150 = 0.028 λ and PVcr100 = 0.014 λ respectively.

on Large-scale dwell time algorithm for computer controlled optical surfacing

2011 ◽  
Vol 23 (12) ◽  
pp. 3207-3212
Author(s):  
罗丽丽 Luo Lili ◽  
何建国 He Jianguo ◽  
王亚军 Wang Yajun ◽  
张云飞 Zhang Yunfei ◽  
黄文 Huang Wen ◽  
...  
Keyword(s):  
Dwell Time ◽  
Large Scale ◽  
Time Algorithm ◽  
Computer Controlled Optical Surfacing ◽  
Computer Controlled

Analysis of dwell time algorithm based on optimization theory for computer controlled optical surfacing

2011 ◽  
Vol 23 (12) ◽  
pp. 3239-3244 ◽  
Author(s):  
张云飞 Zhang Yunfei ◽  
何建国 He Jianguo ◽  
王亚军 Wang Yajun ◽  
罗丽丽 Luo Lili ◽  
吉方 Ji Fang ◽  
...  
Keyword(s):  
Dwell Time ◽  
Optimization Theory ◽  
Time Algorithm ◽  
Computer Controlled Optical Surfacing ◽  
Computer Controlled

Compare Study between Planet Motion and Orbital Motion in CCOS

2013 ◽  
Vol 662 ◽  
pp. 595-598 ◽  
Author(s):  
Yong Shu ◽  
Feng Shi ◽  
Wei Ran Duan ◽  
Sheng Yi Li
Keyword(s):  
Convergence Rate ◽  
Convergence Rates ◽  
Orbital Motion ◽  
High Quality ◽  
Computer Controlled Optical Surfacing ◽  
Computer Controlled ◽  
Compare Study

In order to get a profound understanding of planet motion and orbital motion in CCOS (Computer Controlled Optical Surfacing), a compare study between them was conducted here. The material removals of two motions under the same conditions were simulated and the removal of planet motion was higher than that of orbital motion. The figuring abilities of two motions were also studied through the theory of cut-off frequency and the result showed that planet motion had a higher cut-off frequency. Then two figuring runs which employ the planet motion and the orbital motion were simulated. The convergence rates and polishing times of these two runs were compared and the result showed that planet motion had a higher figuring efficiency. As planet motion has stronger figuring ability and higher figuring efficiency, it’s better to employ planet motion in CCOS to get higher convergence rate and higher accuracy when fabricating high quality mirrors.

scholarly journals RIFTA: A Robust Iterative Fourier Transform-based dwell time Algorithm for ultra-precision ion beam figuring of synchrotron mirrors

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Tianyi Wang ◽  
Lei Huang ◽  
Hyukmo Kang ◽  
Heejoo Choi ◽  
Dae Wook Kim ◽  
...  
Keyword(s):  
Fourier Transform ◽  
Dwell Time ◽  
Ion Beam ◽  
Time Algorithm ◽  
Ultra Precision ◽  
Ion Beam Figuring

scholarly journals A predictable smoothing evolution model for computer-controlled polishing

2020 ◽  
Vol 16 (1) ◽  
Author(s):  
Jing Hou ◽  
Pengli Lei ◽  
Shiwei Liu ◽  
Xianhua Chen ◽  
Jian Wang ◽  
...  
Keyword(s):  
Evolution Model ◽  
Quantitative Prediction ◽  
Theoretical Support ◽  
Model Combining ◽  
Process Guidance ◽  
Dependent Model ◽  
Computer Controlled Optical Surfacing ◽  
Computer Controlled ◽  
Time Dependent Model ◽  
Selection Of

AbstractQuantitative prediction of the smoothing of mid-spatial frequency errors (MSFE) is urgently needed to realize process guidance for computer controlled optical surfacing (CCOS) rather than a qualitative analysis of the processing results. Consequently, a predictable time-dependent model combining process parameters and an error decreasing factor (EDF) were presented in this paper. The basic smoothing theory, solution method and modification of this model were expounded separately and verified by experiments. The experimental results show that the theoretical predicted curve agrees well with the actual smoothing effect. The smoothing evolution model provides certain theoretical support and guidance for the quantitative prediction and parameter selection of the smoothing of MSFE.

Research on the Optimized Tool-Path Planning of Computer Controlled Optical Surfacing

2011 ◽  
Vol 399-401 ◽  
pp. 1763-1767
Author(s):  
Ri Pan ◽  
Wei Yang ◽  
Yin Biao Guo ◽  
Feng Yang ◽  
Dong Xu Zhang
Keyword(s):  
Convergence Rate ◽  
Processing Time ◽  
Tool Path ◽  
Tool Path Planning ◽  
Tool Paths ◽  
High Convergence Rate ◽  
Computer Controlled Optical Surfacing ◽  
Computer Controlled ◽  
Removal Processes ◽  
Working Efficiency

Computer controlled optical surfacing (CCOS) is widely used in aspheric optical lenses fabrication because of their high convergence rate on surface based on deterministic removal processes since 1963. As an important part of CCOS techniques, reasonable tool-path would increase the polishing speed, decrease the processing time and then improve the efficiency of polishing. Optimized policy combined with improved Prim algorithm is presented in this paper based on the study of the characteristic of aspheric polishing and the tool-paths in common use. The simulated results show that the length of tool-path is reduced so as to decrease the processing time and increase the working efficiency.

Polishing of large-aperture reflective SiC mirror using computer-controlled optical surfacing

2013 ◽  
Vol 25 (12) ◽  
pp. 3311-3314
Author(s):  
朱衡 Zhu Heng ◽  
刘夏来 Liu Xialai ◽  
黄金勇 Huang Jinyong ◽  
鄢定尧 Yan Dingyao ◽  
马平 Ma Ping
Keyword(s):  
Large Aperture ◽  
Computer Controlled Optical Surfacing ◽  
Computer Controlled
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