Abstract

The ideal photographic material in holography would have a linear relationship between amplitude transmittance and exposure. Here we study the case where this relationship can be described instead by a polynomial. This nonlinearity in reconstruction gives rise to some extra images, autocorrelations, autocon-solutions, and ambiguity functions of the object, which may be found superposed on normal images, or spatially separated both laterally and in depth.

© 1968 Optical Society of America

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References

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  1. A. Kozma, J. Opt. Soc. Am. 56, 428 (1966).
  2. A. Kozma, in Introduction to Optical Data Processing (McGraw-Hill Book Co., New York, 1967), Vol. 1, Ch. 9.
  3. J. W. Goodman and G. R. Knight, J. Opt. Soc. Am. 58, 1276 (1968).
  4. A. A. Friesem and J. S. Zelenka, Appl. Opt. 6, 1755 (1967).
  5. J. W. Goodman, J. Opt. Soc. Am. 57, 560A (1967).
  6. G. R. Knight, Appl. Opt. 7, 205 (1968).
  7. A. P. Komar, M. V. Stabnikov, and B. G. Turukhano, Sov. Phys.—Dokl. 11, 712 (1967).
  8. H. J. Gerritsen, Appl. Phys. Letters 10, 239 (1967).
  9. H. J. Gerritsen, E. G. Ramberg, and S. Freeman in Modern Optics, Symposium 1967, Jerome Fox, Ed. (Polytechnic Press, Brooklyn, 1968; John Wiley & Sons., Inc., New York).
  10. O. Bryngdahl and A. W. Lohmann, J. Opt. Soc. Am. 58, 141 (1968).
  11. In the following, an asterisk between two functions indicates a convolution.

Bryngdahl, O.

O. Bryngdahl and A. W. Lohmann, J. Opt. Soc. Am. 58, 141 (1968).

Freeman, S.

H. J. Gerritsen, E. G. Ramberg, and S. Freeman in Modern Optics, Symposium 1967, Jerome Fox, Ed. (Polytechnic Press, Brooklyn, 1968; John Wiley & Sons., Inc., New York).

Friesem, A. A.

A. A. Friesem and J. S. Zelenka, Appl. Opt. 6, 1755 (1967).

Gerritsen, H. J.

H. J. Gerritsen, Appl. Phys. Letters 10, 239 (1967).

H. J. Gerritsen, E. G. Ramberg, and S. Freeman in Modern Optics, Symposium 1967, Jerome Fox, Ed. (Polytechnic Press, Brooklyn, 1968; John Wiley & Sons., Inc., New York).

Goodman, J. W.

J. W. Goodman and G. R. Knight, J. Opt. Soc. Am. 58, 1276 (1968).

J. W. Goodman, J. Opt. Soc. Am. 57, 560A (1967).

Knight, G. R.

G. R. Knight, Appl. Opt. 7, 205 (1968).

J. W. Goodman and G. R. Knight, J. Opt. Soc. Am. 58, 1276 (1968).

Komar, A. P.

A. P. Komar, M. V. Stabnikov, and B. G. Turukhano, Sov. Phys.—Dokl. 11, 712 (1967).

Kozma, A.

A. Kozma, J. Opt. Soc. Am. 56, 428 (1966).

A. Kozma, in Introduction to Optical Data Processing (McGraw-Hill Book Co., New York, 1967), Vol. 1, Ch. 9.

Lohmann, A. W.

O. Bryngdahl and A. W. Lohmann, J. Opt. Soc. Am. 58, 141 (1968).

Ramberg, E. G.

H. J. Gerritsen, E. G. Ramberg, and S. Freeman in Modern Optics, Symposium 1967, Jerome Fox, Ed. (Polytechnic Press, Brooklyn, 1968; John Wiley & Sons., Inc., New York).

Stabnikov, M. V.

A. P. Komar, M. V. Stabnikov, and B. G. Turukhano, Sov. Phys.—Dokl. 11, 712 (1967).

Turukhano, B. G.

A. P. Komar, M. V. Stabnikov, and B. G. Turukhano, Sov. Phys.—Dokl. 11, 712 (1967).

Zelenka, J. S.

A. A. Friesem and J. S. Zelenka, Appl. Opt. 6, 1755 (1967).

Other (11)

A. Kozma, J. Opt. Soc. Am. 56, 428 (1966).

A. Kozma, in Introduction to Optical Data Processing (McGraw-Hill Book Co., New York, 1967), Vol. 1, Ch. 9.

J. W. Goodman and G. R. Knight, J. Opt. Soc. Am. 58, 1276 (1968).

A. A. Friesem and J. S. Zelenka, Appl. Opt. 6, 1755 (1967).

J. W. Goodman, J. Opt. Soc. Am. 57, 560A (1967).

G. R. Knight, Appl. Opt. 7, 205 (1968).

A. P. Komar, M. V. Stabnikov, and B. G. Turukhano, Sov. Phys.—Dokl. 11, 712 (1967).

H. J. Gerritsen, Appl. Phys. Letters 10, 239 (1967).

H. J. Gerritsen, E. G. Ramberg, and S. Freeman in Modern Optics, Symposium 1967, Jerome Fox, Ed. (Polytechnic Press, Brooklyn, 1968; John Wiley & Sons., Inc., New York).

O. Bryngdahl and A. W. Lohmann, J. Opt. Soc. Am. 58, 141 (1968).

In the following, an asterisk between two functions indicates a convolution.

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