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Frontiers of Mechanical Engineering

ISSN 2095-0233

ISSN 2095-0241(Online)

CN 11-5984/TH

Postal Subscription Code 80-975

2018 Impact Factor: 0.989

Front. Mech. Eng.    2017, Vol. 12 Issue (1) : 110-115    https://doi.org/10.1007/s11465-017-0430-5
RESEARCH ARTICLE
Ion beam figuring of continuous phase plates based on the frequency filtering process
Mingjin XU1,Yifan DAI1,Xuhui XIE1(),Lin ZHOU1,Shengyi LI1,Wenqiang PENG2
1. College of Mechatronics Engineering and Automation, National University of Defense Technology, Changsha 410073, China
2. College of Basic Education for Command Officer, National University of Defense Technology, Changsha 410073, China
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Abstract

Ion beam figuring (IBF) technology is an effective technique for fabricating continuous phase plates (CPPs) with small feature structures. This study proposes a multi-pass IBF approach with different beam diameters based on the frequency filtering method to improve the machining accuracy and efficiency of CPPs during IBF. We present the selection principle of the frequency filtering method, which incorporates different removal functions that maximize material removal over the topographical frequencies being imprinted. Large removal functions are used early in the fabrication to figure the surface profile with low frequency. Small removal functions are used to perform final topographical correction with higher frequency and larger surface gradient. A high-precision surface can be obtained as long as the filtering frequency is suitably selected. This method maximizes the high removal efficiency of the large removal function and the high corrective capability of the small removal function. Consequently, the fast convergence of the machining accuracy and efficiency can be achieved.

Keywords ion beam figuring (IBF)      continuous phase plates (CPPs)      machining accuracy      machining efficiency      frequency filtering process     
Corresponding Author(s): Xuhui XIE   
Just Accepted Date: 20 January 2017   Online First Date: 24 February 2017    Issue Date: 21 March 2017
 Cite this article:   
Mingjin XU,Yifan DAI,Xuhui XIE, et al. Ion beam figuring of continuous phase plates based on the frequency filtering process[J]. Front. Mech. Eng., 2017, 12(1): 110-115.
 URL:  
https://academic.hep.com.cn/fme/EN/10.1007/s11465-017-0430-5
https://academic.hep.com.cn/fme/EN/Y2017/V12/I1/110
Fig.1  Relationship between dwell time and material removal depth under different beam diameters
Arrangement of dwell time Surface error, PV/nm Surface error, RMS/nm Surface error, PVhe/nm Surface error, RMShe/nm k
Before IBF 198.7 27.4 122.3 11.3 2.42
After 1st IBF 171.0 16.5 119.3 10.3 1.60
After 2nd IBF 168.5 14.6 120.5 10.0 1.46
Tab.1  First figuring stage (beam diameter d6s=8.2 mm and fc=0.25 mm−1)
Arrangement of dwell time Surface error, PV/nm Surface error, RMS/nm Surface error, PVhe/nm Surface error, RMShe/nm k
Before IBF 168.5 14.6 72.6 5.1 2.86
After 1st IBF 160.7 13.3 72.0 5.0 2.66
After 2nd IBF 153.4 12.7 71.0 4.9 2.59
Tab.2  Second figuring stage (beam diameter d6s=4.1 mm and fc=0.5 mm−1)
Fig.2  Comparison of machining errors of the two figuring processes: (a) The desired CPP surface; (b) the filtered surface by a Gaussian low-pass filter with 4 mm bandwidth; (c) the matching error; (d) the machining error of the filtered surface; (e) the total error of the frequency filtering process; (f) the total error of the direct figuring process
Fig.3  Comparison of surface errors figured by the two figuring processes: (a) The original surface error; (b) surface error of the direct machining process; (c) surface error of the frequency filtering process
Process method Surface error, PV/nm Surface error, RMS/nm Figuring time/min Time reduced
IBF before filter 105.3 6.3 640
IBF after filter 100.8 6.5 450 30%
Tab.3  Comparison of machining time by the two process methods (beam diameter d6σ=4.1 mm)
Fig.4  Surface accuracy of the figured CPP: (a) The desired CPP surface; (b) the figured CPP surface; (c) the final matching error; (d) surface gradient distribution of the desired CPP; (e) surface gradient distribution of the figured CPP; (f) 3D view of the figured CPP
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