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Applied Optics

Applied Optics


  • Vol. 9, Iss. 3 — Mar. 1, 1970
  • pp: 721–732

An Analytical and Experimental Study of Nonlinearities in Hologram Recording

A. Kozma, G. W. Jull, and K. O. Hill  »View Author Affiliations

Applied Optics, Vol. 9, Issue 3, pp. 721-732 (1970)

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A theoretical analysis of the effect of recording nonlinearities upon the image reconstructed from a hologram made of a diffuse object is presented. Extensive experimental evidence which supports this theory is also given. In particular, it is shown that the magnitude of the nonlinearity noise can be calculated knowing the shape of the amplitude transmittance–exposure (T a E) curve, the bias transmittance (T b ), and the ratio of the reference beam to the object beam intensity (K). It is further shown that for diffuse objects the shape of the nonlinearity noise distribution can be calculated from the shape of the object.

© 1970 Optical Society of America

Original Manuscript: July 8, 1969
Published: March 1, 1970

A. Kozma, G. W. Jull, and K. O. Hill, "An Analytical and Experimental Study of Nonlinearities in Hologram Recording," Appl. Opt. 9, 721-732 (1970)

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  1. A. Kozma, J. Opt. Soc. Amer. 56, 428 (1966). [CrossRef]
  2. A. A. Friesem, J. S. Zelenka, Appl. Opt. 6, 1755 (1967). [CrossRef] [PubMed]
  3. J. M. J. Tokarski, Appl. Opt. 7, 989 (1968). [CrossRef] [PubMed]
  4. J. W. Goodman, G. R. Knight, J. Opt. Soc. Amer. 58, 1276 (1968). [CrossRef]
  5. O. Bryngdal, A. Lohmann, J. Opt. Soc. Amer. 58, 1325 (1968). [CrossRef]
  6. A. Kozma, Opt. Acta 15, 527 (1968). [CrossRef]
  7. D. Middleton, Introduction to Statistical Communication Theory (McGraw-Hill Book Company, New York, 1960), p. 356.
  8. Ref. 7, p. 402.
  9. A. Kozma, Ph.D. Thesis, University of London, 1968.
  10. J. W. Goodman, Proc. IEEE 53, 1688 (1965). [CrossRef]
  11. The normalized Ta− Ecurve is obtained from the ordinary Ta− Ecurve by shifting and scaling the exposure coordinate so that a normalized exposure E= 0 produces a desired bias transmittance Tband a normalized exposure E= −1 produces unity transmittance.
  12. The area of the points was large enough to leave unaffected the distribution of the intensities in the spectrum of the randomly-scattering plate which backed the transparency.
  13. C. B. Burckhardt, Appl. Opt. 6, 1359 (1967). [CrossRef] [PubMed]

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