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Applied Optics

Applied Optics


  • Vol. 19, Iss. 14 — Jul. 15, 1980
  • pp: 2332–2340

Stressed mirror polishing. 1: A technique for producing nonaxisymmetric mirrors

Jacob Lubliner and Jerry E. Nelson  »View Author Affiliations

Applied Optics, Vol. 19, Issue 14, pp. 2332-2340 (1980)

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The theoretical basis is developed for a technique to fabricate nonaxisymmetric mirrors. Stresses are applied to a mirror blank that would have the effect of elastically deforming a desired surface into a sphere. A sphere is then polished into the blank, and upon release of the applied stress, the spherical surface deforms into the desired one. The method can be applied iteratively, so arbitrary accuracy should be possible. Calculations of the stresses and deformations are carried out in detail for an off-axis section of a paraboloid. For a very general class of surfaces, it is sufficient to only impose appropriate stresses at the edge of the blank plus a uniform pressure on the back.

© 1980 Optical Society of America

Original Manuscript: January 24, 1980
Published: July 15, 1980

Jacob Lubliner and Jerry E. Nelson, "Stressed mirror polishing. 1: A technique for producing nonaxisymmetric mirrors," Appl. Opt. 19, 2332-2340 (1980)

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  1. J. Nelson, “The Proposed University of California Ten-Meter Telescope,” in Proceedings, Conference on Optical Telescopes of the Future, December 1977 (Geneva 23: ESO c/o CERN1978), p. 133.
  2. J. Nelson, Proc. Soc. Photo-Opt. Instrum. Eng. 172, (January1979).
  3. G. Gabor, Proc. Soc. Photo-Opt. Instrum. Eng. 172, (January1979).
  4. T. S. Mast, J. E. Nelson, “Figure Control for a Segmented Telescope Mirror,” Lawrence Berkeley Laboratory Report LBL-8621 (March1979).
  5. J. E. Nelson, G. Gabor, L. K. Hunt, J. Lubliner, T. S. Mast, Appl. Opt. 19, 2341 (1980). [CrossRef] [PubMed]
  6. E. Everhart, Appl. Opt. 5, 713 (1966). [CrossRef] [PubMed]
  7. G. LeMaitre, Nouv. Rev. Opt. 6, 361 (1974). [CrossRef]
  8. A. S. Leonard, in Proceedings 69, Joint Convention of Western Amateur Astronomers and Association of Lunar and Planetary Observers (1969).
  9. L. W. Alvarez, Lawrence Berkeley Laboratory; private communication (1978).
  10. W. A. Eul, W. W. Woods, Optical Telescope Technology, NASA SP-233 (U.S. GPO, Washington, D.C., 1969), p. 207.
  11. S. Timoshenko, Strength of Materials (Van Nostrand, New York, 1955).
  12. A. E. H. Love, Treatise on the Mathematical Theory of Elasticity (Dover, New York, 1927).
  13. S. Timoshenko, S. Woinowsky-Krieger, Theory of Plates and Shells (McGraw-Hill, New York, 1959).

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