OSA's Digital Library

Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 50, Iss. 14 — May. 10, 2011
  • pp: 1984–1994

Material removal in magnetorheological finishing of optics

William Kordonski and Sergei Gorodkin  »View Author Affiliations

Applied Optics, Vol. 50, Issue 14, pp. 1984-1994 (2011)

View Full Text Article

Enhanced HTML    Acrobat PDF (1114 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A concept of material removal based on the principle of conservation of particles momentum in a binary suspension is applied to analyze material removal in magnetorheological finishing and magnetorheological jet processes widely used in precision optics fabrication. According to this concept, a load for surface indentation by abrasive particles is provided at their interaction near the wall with heavier basic (magnetic) particles, which fluctuate (due to collision) in the shear flow of concentrated suspension. The model is in good qualitative and quantitative agreement with experimental results.

© 2011 Optical Society of America

OCIS Codes
(220.1250) Optical design and fabrication : Aspherics
(220.5450) Optical design and fabrication : Polishing

ToC Category:
Optical Design and Fabrication

Original Manuscript: November 9, 2010
Revised Manuscript: January 10, 2011
Manuscript Accepted: January 20, 2011
Published: May 4, 2011

William Kordonski and Sergei Gorodkin, "Material removal in magnetorheological finishing of optics," Appl. Opt. 50, 1984-1994 (2011)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. I.Marinescu, E.Uhlmann, and T.Doi, Handbook of Lapping and Polishing (CRC Press, 2006). [CrossRef]
  2. D. D. Walker, A.T. H. Beaucamp, D. Brooks, R. Freeman, A. King, G. McCavana, R. Morton, D. Riley, and J. Simms, “Novel CNC polishing process for control of form and texture on aspheric surfaces,” Proc. SPIE 4451, 267–276 (2001). [CrossRef]
  3. A. Momber and R. Kovacevic, Principles of Abrasive Water Jet Machining (Springer, 1998). [CrossRef]
  4. S. M. Booij, “Fluid jet polishing,” Doctoral thesis (Technische Universiteit Delft, 2003).
  5. Y. Mori, K. Yamauchi, and K. Endo, “Mechanism of atomic removal in elastic emission machining,” J. Jpn. Soc. Prec. Eng. 10, 24–28 (1988). [CrossRef]
  6. W. Kordonski, “Elements and devices based on magnetorheological effect,” J. Intell. Mater. Syst. Struct. 4, 65–69(1993). [CrossRef]
  7. W. Kordonsky, I. Prokhorov, S. Gorodkin, G. Gorodkin, L. Gleb, and B. Kashevsky, “Magnetorheological polishing devices and methods,” U.S. patent 5,449,313 (12 September, 1993).
  8. W. Kordonski, D. Golini, and S. Hogan, “System for abrasive jet shaping and polishing of a surface using magnetorheological fluid,” U.S. patent 5,971,835 (26 October, 1999).
  9. W. Kordonski and S. Jacobs, “Magnetorheological finishing,” Int. J. Mod. Phys. B 10, 2837–2848 (1996). [CrossRef]
  10. W. Kordonski, A. Shorey, and M. Tricard, “Magnetorheological jet finishing technology,” J. Fluid Eng. 128, 20–26 (2006). [CrossRef]
  11. J. Lambropoulos, C. Miao, and S. Jacobs, “Magnetic field effects on shear and normal stresses in magmetorheological finishing,” Opt. Express 18, 19713–19723 (2010). [CrossRef] [PubMed]
  12. A. B. Shorey, S. D. Jacobs, W. I. Kordonski, and R. F. Gans, “Experiments and observations regarding the mechanisms of glass removal in magnetorheological finishing,” Appl. Opt. 40, 20–33 (2001). [CrossRef]
  13. J. E. DeGroote, A. E. Marino, J. P. Wilson, A. L. Bishop, J. C. Lambropoulos, and S. D. Jacobs, “Removal rate model for magnetorheological finishing (MRF) of glass,” Appl. Opt. 46, 7927–7941 (2007). [CrossRef] [PubMed]
  14. C. Miao, S. N. Shafrir, J. C. Lambropoulos, and S. D. Jacobs, “Normal force in magnetorheologial finishing,” Proc. SPIE 7426, 74260C (2009). [CrossRef]
  15. C. Miao, S. N. Shafrir, J. C. Lambropoulos, J. Mici, and Stephen D. Jacobs, “Shear stress in magnetorheological finishing for glasses,” Appl. Opt. 48, 2585–2594 (2009). [CrossRef] [PubMed]
  16. Y. Dai, C. Song, X. Peng, and F. Shi, “Calibration and prediction of removal function in magnetorheological finishing,” Appl. Opt. 49, 298–306 (2010). [CrossRef] [PubMed]
  17. F. W. Preston, “The theory and design of plate glass polishing machines,” J. Soc. Glass Technol. , 11, 214–256 (1927).
  18. W. Kordonski and S. Gorodkin, “Magnetorheological measurements with consideration for the internal magnetic field in samples,” J. Phys.: Conf. Ser. 149, 012064 (2009). [CrossRef]
  19. G. B. Basim, I. U. Vakarelski, and B. M. Moudgil, “Role of interaction forces in controlling the stability and polishing performance of CMP slurries,” J. Colloid Interface Sci. 263, 506–515 (2003). [CrossRef] [PubMed]
  20. H. M. Laun, C. Gabriel, and G. Schmidt, “Primary and secondary normal stress differences of a magnetorheological fluid (MRF) up to magnetic flux densities of 1T,” J. Non-Newtonian Fluid Mech. 148, 47–56 (2008). [CrossRef]
  21. H. H. Shen, “Granular shear flows-constitutive relations and internal structures,” in 15th ASCE Engineering Mechanical Conference (Columbia University, 2002), pp. 1–7.
  22. A. Karion and M. Hunt, “Wall stress in granular Couette flow of mono-sized particles and binary mixtures,” Powder Technol. 109, 145–163 (2000). [CrossRef]
  23. W. Losert, L. Bocquet, T. C. Lubensky, and J. P. Gollub, “Particle dynamics in sheared granular matter,” Phys. Rev. Lett. 85, 1428–1431 (2000). [CrossRef] [PubMed]
  24. Storm/CFD2000, www.adaptive-research.com.
  25. P. Perzyna, “Fundamental problems in viscoplasticity,” Adv. Appl. Mech. 9, 243–377 (1966). [CrossRef]
  26. J. A. Tichy, “Hydrodynamic lubrication theory for the Bingham plastic flow model,” J. Rheol. (N.Y.) 35, 477–96 (1991). [CrossRef]
  27. K. P. Gertzos, P. G. Nikolakopoulos, and C. A. Papadopoulos, “CFD analysis of journal bearing hydrodynamic lubrication by Bingham lubricant,” Tribol. Int. 41, 1190–1204 (2008). [CrossRef]
  28. http://www.tekscan.com/.
  29. S. F. Ang, T. Scholz, A. Klocke, and G. A. Schneider, “Determination of elastic/plastic transition of human enamel by nanoindentation,” Dent. Mater. 15, 1403–1410(2009). [CrossRef]
  30. L. M. Cook, “Chemical processes in glass polishing,” J. Non-Cryst. Solids 120, 152–171 (1990). [CrossRef]
  31. Z. P. Shulman, V. I. Kordonski, E. A. Zaltsgendler, I. V. Prokhorov, B. M. Khusid, and S. A. Demchuk, “Structure, physical properties, and dynamics of magnetorheological suspensions,” Int. J. Multiphase Flow 12, 935–955 (1986). [CrossRef]
  32. A. Shorey, S Gorodkin, and W. Kordonski, “Effect of process parameters on surface morphology in MRF,” Technical Digest SPIE TD02, 69–71 (2003). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited