In this paper we first contrast classical and CNC polishing techniques in regard to the repetitiveness of the machine motions. We then present a pseudo-random tool path for use with CNC sub-aperture polishing techniques and report polishing results from equivalent random and raster tool-paths. The random tool-path used – the unicursal random tool-path – employs a random seed to generate a pattern which never crosses itself. Because of this property, this tool-path is directly compatible with dwell time maps for corrective polishing. The tool-path can be used to polish any continuous area of any boundary shape, including surfaces with interior perforations.

©2008 Optical Society of America

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  1. D. D. Walker, D. Brooks, A. King, R. Freeman, R. Morton, G. McCavana, and S-W Kim, “The ‘Precessions’ tooling for polishing and figuring flat, spherical and aspheric surfaces,” Opt. Express 11, 8, 958–964, (2003), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-8-958.
    [Crossref] [PubMed]
  2. D. D. Walker, R. Freeman, R. Morton, G. McCavana, and A. Beaucamp, et.al. “Use of the ‘Precessions’ process for pre-polishing and correcting 2D & 2½D form,” Opt. Express 14, 11787–11795 (2006), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-24-11787.
    [Crossref] [PubMed]

2006 (1)

2003 (1)

Beaucamp, A.

Brooks, D.

Freeman, R.

Kim, S-W

King, A.

McCavana, G.

Morton, R.

Walker, D. D.

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Figures (11)

Fig. 1.
Fig. 1. Example of a unicursal random tool path and a tilted interferogram resulting from polishing with this tool path
Fig. 2.
Fig. 2. Random tool paths of varying pattern density
Fig. 3.
Fig. 3. Raster and random tool paths on a 35 mm diameter circle.
Fig. 4.
Fig. 4. Surface texture of raster polished region (top) and random polished region (bottom).
Fig. 5.
Fig. 5. Profiles extracted from measurements in Fig. 4
Fig. 6.
Fig. 6. PSD for raster and random polished regions.
Fig. 7.
Fig. 7. Raster polished surface.
Fig. 8.
Fig. 8. Surface after one iteration of random polishing.
Fig. 9.
Fig. 9. Surface after two iterations of random polishing.
Fig. 10.
Fig. 10. Surface profiles after each polishing run.
Fig. 11.
Fig. 11. PSD of surface profiles.

Tables (3)

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Table 1. Polishing Parameters

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Table 2. Polishing parameters

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Table 3. Surface statistics