Utilisation of time-variant influence functions in the computer controlled polishing

Schinhaerl, Markus; Rascher, Rolf; Stamp, Richard; Smith, Lyndon; Smith, Gordon; Sperber, Peter; Pitschke, Elmar

doi:10.1016/j.precisioneng.2007.04.005

Cited by 32 publications

(12 citation statements)

References 7 publications

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“…First, a particular experiment should be performed to obtain the material removal distribution of the polishing tool in a unit time, which is referred to as the tool removal function (TRF) or the influence function (IF) [10] . And the optical surface should be measured and the error contour of it should be calculated also.…”

Section: Convolution Integral Modelmentioning

confidence: 99%

Frequency-domain analysis of computer-controlled optical surfacing processes

Zhou

Dai

Xie

et al. 2009

Sci. China Ser. E-Technol. Sci.

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Mid-high spatial frequency errors are often induced on optical surfaces polished by computer-controlled optical surfacing (CCOS) processes. In order to efficiently remove these errors, which would degrade the performances of optical systems, the ability of a CCOS process to correct the errors have been investigated based on the convolution integral model in view of the availability of material removal. To quantify the ability, some conceptions, such as figure correcting ability and material removal availability (MRA), have been proposed. The research result reveals that the MRA of the CCOS process to correct a single spatial frequency error is determined by its tool removal function (TRF), and it equals the normalized amplitude spectrum of the Fourier transform of its TRF. Finally, three sine surfaces were etched using ion beam figuring (IBF), which is a typical CCOS process. The experimental results have verified the theoretical analysis. The employed method and the conclusions of this work provide a useful mathematical basis to analyze and optimize CCOS processes.

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Section: Convolution Integral Modelmentioning

confidence: 99%

Frequency-domain analysis of computer-controlled optical surfacing processes

Zhou

Dai

Xie

et al. 2009

Sci. China Ser. E-Technol. Sci.

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“…Non-uniform removal may appear as waviness (Cho et al, 1992) or texture on the polished surface. It may also contribute to non-negligible form error of the polished surface (Schinhaerl et al, 2008;Tsai et al, 2009). The non-uniformity can be problematic if the surface requirements of the product are stringent.…”

Section: Introductionmentioning

confidence: 99%

An investigation of the effects of the tool path on the removal of material in polishing

Tam¹,

Cheng²

2010

Journal of Materials Processing Technology

107

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“…Computer-controlled polishing machines and mathematical models to analyze material removal characteristics have been developed for polishing spherical, aspheric and free form surfaces, where small-size tools are employed [3][4][5][6] . We presented our efforts in developing a polishing process using a large size polishing lap, where a mathematical model was developed to estimate the residual surface errors under a given set of operating parameter and lap configurations 7,8 .…”

Section: Introductionmentioning

confidence: 99%

Computer-controlled cylindrical polishing process for development of grazing incidence optics for the hard x-ray region

et al. 2010

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The focusing performance of shell optics for the hard X-ray region strongly depends on their axial mid-spatialfrequency-range figure errors. This paper presents the development of a deterministic computer-controlled polishing process to minimize these axial figure errors on cylindrical shaped mandrels from which the mirror shells are replicated. A mathematical model has been developed to simulate the residual surface figure errors due to the polishing process parameters and the polishing tools used, along with their non-conformance to the mandrel. We present design considerations of a large-size polishing lap where the experimentally determined process variables have been used for optimizing the lap configuration and the machine operational parameters. Furthermore, the developed model is capable of generating a corrective polishing sequence for a known surface error profile. Practical polishing experiments have been performed to verify the model and to determine its ability to correct known axial figure errors through polishing machine control.

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Utilisation of time-variant influence functions in the computer controlled polishing

Cited by 32 publications

References 7 publications

Frequency-domain analysis of computer-controlled optical surfacing processes

Frequency-domain analysis of computer-controlled optical surfacing processes

An investigation of the effects of the tool path on the removal of material in polishing

Computer-controlled cylindrical polishing process for development of grazing incidence optics for the hard x-ray region

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