Abstract

A study of the Leith—Upatnieks hologram for the time average of the coherent wavefronts scattered from a vibrating object is reported. The image reconstructed by the hologram is found to contain a system of interference fringes which map contours of constant vibration amplitude, thus providing a method of analysis of the vibration of objects with arbitrary surfaces. Experimental results are presented and interpreted for a simple periodic vibration; statistical motion of objects is discussed.

© 1965 Optical Society of America

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References

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  1. E. Leith and J. Upatnieks, J. Opt. Soc. Am. 52, 10 (1962).
  2. E. Leith and J. Upatnieks, J. Opt. Soc. Am. 53, 12 (1963).
  3. E. Leith and J. Upatnieks, J. Opt. Soc. Am. 54, 11 (1964).
  4. M. Born and E. Wolf, Principales of Optics (Pergamon Press, New York and London, 1964), Chap. 9, p. 480.
  5. E. H. Linfoot, Fourier Methods in Optical Image Evaluation (The Focal Press, New York and London, 1964).
  6. H. Osterberg, J. Opt. Soc. Am. 22, 19 (1932).

Born, M.

M. Born and E. Wolf, Principales of Optics (Pergamon Press, New York and London, 1964), Chap. 9, p. 480.

Leith, E.

E. Leith and J. Upatnieks, J. Opt. Soc. Am. 54, 11 (1964).

E. Leith and J. Upatnieks, J. Opt. Soc. Am. 52, 10 (1962).

E. Leith and J. Upatnieks, J. Opt. Soc. Am. 53, 12 (1963).

Linfoot, E. H.

E. H. Linfoot, Fourier Methods in Optical Image Evaluation (The Focal Press, New York and London, 1964).

Osterberg, H.

H. Osterberg, J. Opt. Soc. Am. 22, 19 (1932).

Upatnieks, J.

E. Leith and J. Upatnieks, J. Opt. Soc. Am. 54, 11 (1964).

E. Leith and J. Upatnieks, J. Opt. Soc. Am. 53, 12 (1963).

E. Leith and J. Upatnieks, J. Opt. Soc. Am. 52, 10 (1962).

Wolf, E.

M. Born and E. Wolf, Principales of Optics (Pergamon Press, New York and London, 1964), Chap. 9, p. 480.

Other

E. Leith and J. Upatnieks, J. Opt. Soc. Am. 52, 10 (1962).

E. Leith and J. Upatnieks, J. Opt. Soc. Am. 53, 12 (1963).

E. Leith and J. Upatnieks, J. Opt. Soc. Am. 54, 11 (1964).

M. Born and E. Wolf, Principales of Optics (Pergamon Press, New York and London, 1964), Chap. 9, p. 480.

E. H. Linfoot, Fourier Methods in Optical Image Evaluation (The Focal Press, New York and London, 1964).

H. Osterberg, J. Opt. Soc. Am. 22, 19 (1932).

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