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Applied Optics

Applied Optics


  • Vol. 24, Iss. 8 — Apr. 15, 1985
  • pp: 1113–1121

Contorted mirror reduction of projected image distortion

I-Fu Shih, David B. Chang, Peter L. Garrett, and Norton L. Moise  »View Author Affiliations

Applied Optics, Vol. 24, Issue 8, pp. 1113-1121 (1985)

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An analysis is made of the degree to which a simple contorted mirror can reduce distortion in a projected image. Although it is impossible in general to remove the distortion completely by this means, significant reduction may be achieved. Equations are derived for the shape of a mirror which will give the maximum reduction possible. Equations are also developed for how to stress a planar mirror to create the desired optimal shape. Image blurring is estimated. An example is presented in which this technique is used to reduce the distortion which results when a projection lens appropriate for projection onto a flat screen is used instead to project onto a spherical surface from an oblique angle.

© 1985 Optical Society of America

Original Manuscript: November 16, 1984
Published: April 15, 1985

I-Fu Shih, David B. Chang, Peter L. Garrett, and Norton L. Moise, "Contorted mirror reduction of projected image distortion," Appl. Opt. 24, 1113-1121 (1985)

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  1. I. Whyte, A. W. Zeph, “Wide-Angle, Multiviewer, Infinity Display System,” AFHRL-TR-81-27(I);a report published by Air Force Human Resources Laboratory (1982).
  2. R. H. Freeman, J. E. Pearson, “Deformable Mirrors for All Seasons and Reasons,” Appl. Opt. 21, 580 (1982). [CrossRef] [PubMed]
  3. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968).
  4. S. Timoshenko, Theory of Plates and Shells (McGraw-Hill, New York, 1940).

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