Abstract

The reconstruction properties of thin phase holograms of diffuse objects with large reference-object irradiance ratios are investigated, using the statistical method proposed by Goodman and Knight [J. Opt. Soc. Am. 58, 1276 (1968)]. Three types of phase-recording characteristics are treated: the linear-phase characteristic (the phase modulation being proportional to exposure), a nonlinear-phase characteristic, and the binary characteristic. For the maximum reconstruction efficiency of one of the ideal twin images, we obtain 18.4% for the linear-phase hologram and 31.8% for the binary-phase hologram.

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  1. J. W. Goodman and G. R. Knight, J. Opt. Soc. Am. 58, 1276 (1968).
  2. 2 W. B. Davenport, Jr. and W. L. Root, Random Signals and Noise (McGraw-Hill, New York, 1958), pp. 277 ff.
  3. J. Upatnieks and C. Leonard, J. Opt. Soc. Am. 60, 297 (1970).
  4. 4 W. Gröbner and N. Hofreiter, Integraltafel, Zweiter Teil (Springer, Wien, 1961), pp. 131, 132.
  5. Reference 4, p. 143.
  6. Reference 4, p. 66.

Davenport, Jr., W. B.

2 W. B. Davenport, Jr. and W. L. Root, Random Signals and Noise (McGraw-Hill, New York, 1958), pp. 277 ff.

Goodman, J. W.

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

Gröbner, W.

4 W. Gröbner and N. Hofreiter, Integraltafel, Zweiter Teil (Springer, Wien, 1961), pp. 131, 132.

Hofreiter, N.

4 W. Gröbner and N. Hofreiter, Integraltafel, Zweiter Teil (Springer, Wien, 1961), pp. 131, 132.

Knight, G. R.

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

Leonard, C.

J. Upatnieks and C. Leonard, J. Opt. Soc. Am. 60, 297 (1970).

Root, W. L.

2 W. B. Davenport, Jr. and W. L. Root, Random Signals and Noise (McGraw-Hill, New York, 1958), pp. 277 ff.

Upatnieks, J.

J. Upatnieks and C. Leonard, J. Opt. Soc. Am. 60, 297 (1970).

Other (6)

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

2 W. B. Davenport, Jr. and W. L. Root, Random Signals and Noise (McGraw-Hill, New York, 1958), pp. 277 ff.

J. Upatnieks and C. Leonard, J. Opt. Soc. Am. 60, 297 (1970).

4 W. Gröbner and N. Hofreiter, Integraltafel, Zweiter Teil (Springer, Wien, 1961), pp. 131, 132.

Reference 4, p. 143.

Reference 4, p. 66.

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