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Applied Optics

Applied Optics


  • Vol. 9, Iss. 11 — Nov. 1, 1970
  • pp: 2481–2484

Thermal Deformations of Solid Mirrors

A. J. Malvick  »View Author Affiliations

Applied Optics, Vol. 9, Issue 11, pp. 2481-2484 (1970)

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The tensor equations of elasticity including temperature terms in nonorthogonal coordinates are presented in a form suitable for the method of dynamic relaxation. A nonorthogonal coordinate system that includes a wide class of circular solid mirrors or lenses is described. The equations may be solved for any prescribed temperature distribution. Computed results are given for several cases.

© 1970 Optical Society of America

Original Manuscript: June 4, 1970
Published: November 1, 1970

A. J. Malvick, "Thermal Deformations of Solid Mirrors," Appl. Opt. 9, 2481-2484 (1970)

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  1. A. J. Malvick, Appl. Opt. 7, 2117 (1968). [CrossRef] [PubMed]
  2. A. J. Malvick, E. T. Pearson, Appl. Opt. 7, 1207 (1968). [CrossRef] [PubMed]
  3. A. S. Day, Engineer 219, 218 (1965).
  4. J. R. H. Otter, A. C. Cassell, R. E. Hobbs, Proc. Inst. Civil Eng. 35, 633 (1966). [CrossRef]
  5. R. E. Hobbs, “Dynamic relaxation and model techniques applied to arch dams,” Ph.D. dissertation, London University (1967).
  6. A. E. Green, W. Zerna, Theoretical Elasticity (Oxford U.P., New York, 1963).

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