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Applied Optics

Applied Optics


  • Vol. 23, Iss. 16 — Aug. 15, 1984
  • pp: 2734–2737

Simple technique for obtaining approximate thermal expansion coefficients of low expansion materials: applications to Zerodur

Harold E. Bennett, J. J. Shaffer, and D. K. Burge  »View Author Affiliations

Applied Optics, Vol. 23, Issue 16, pp. 2734-2737 (1984)

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A simple interferometric test setup for measuring thermal expansion coefficients as low as 1 × 10−8/°C is described. The sample to be tested is polished optically flat, interference fringes are formed between the front surface of the sample and a reference surface, and their movement, as boiling water is applied to the back side of the test piece, is observed. When this process was applied to Zerodur, approximate agreement with expected values was achieved. A small permanent change in the Zerodur optical figure occurred as a result of this test procedure, suggesting that Zerodur should not be exposed to strong thermal shock during use.

© 1984 Optical Society of America

Original Manuscript: April 2, 1984
Published: August 15, 1984

Harold E. Bennett, J. J. Shaffer, and D. K. Burge, "Simple technique for obtaining approximate thermal expansion coefficients of low expansion materials: applications to Zerodur," Appl. Opt. 23, 2734-2737 (1984)

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  1. ULE titanium silicate, Code 7971 data sheet from Corning Glass Works, Corning, N.Y. 14830.
  2. Zerodur data sheet from Schott, Spezial-Glas GMBH, P.O. Box 3833, Rheinallee 143, D-6500 Mainz, West Germany.
  3. Cervit was manufactured by Owens Illinois Corp. but is no longer available.
  4. D. E. Gray, Ed., American Institute of Physics Handbook, (McGraw-Hill, New York, 1972), pp. 4–138.
  5. J. W. Berthold, S. F. Jacobs, “Ultraprecise Thermal Expansion Measurements of Seven Low Expansion Materials,” Appl. Opt. 15, 2344 (1976). [CrossRef]
  6. J. W. Berthold, S. F. Jacobs, M. A. Norton, “Dimensional, Stability of Fused Silica, Invar, and Several Ultralow Thermal Expansion Materials,” Appl. Opt. 15, 1898 (1976). [CrossRef]
  7. B. A. Boley, J. H. Weiner, Theory of Thermal Stress (Wiley, New York, 1960), p. 279.
  8. H. S. Carslaw, J. C. Jaeger, Conduction of Heat in Solids (Oxford U.P., London, 1959), p. 60.
  9. Ref. 8, p. 482.
  10. Manufactured by the Zygo Corp., Laurel Brook Rd., Middlefield, Conn. 06455.
  11. J. J. Shaffer, H. E. Bennett, “Effect of Thermal Cycling on Dimensional Stability of Zerodur and ULE,” Appl. Opt.23, 0000 (1984), in press. [CrossRef]

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