Abstract

Optimum linearity, and maximum efficiency, for thin-amplitude and thin-phase holograms of small modulation depth are realized at different values of average exposure (bias). We utilize a threshold model for the photographic detection process to predict the bias values. These values are shown to be in agreement with available experimental results. For large modulation, the biasing point depends upon both modulation depth and average exposure.

© 1976 Optical Society of America

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  1. C. T. Chang and J. L. Bjorkstam, J. Opt. Soc. Am. 65, 1495 (1975).
  2. K. Biedermann, Appl. Opt. 10, 584 (1971).
  3. C. E. Thomas, Appl. Opt. 11, 1756 (1972).
  4. A. Kozma, G. W. Jull, and K. O. Hill, Appl. Opt. 9, 721 (1970).
  5. W. H. Lee and M. O. Greer, J. Opt. Soc. Am. 61, 402 (1971).
  6. J. R. Klauder and E. C. G. Sudarshan, Fundamentals of Quantum Optics (Benjamin, New York, 1968), p. 17.
  7. G. R. Bird, R. C. Jones, and A. E. Ames, Appl. Opt. 8, 2389 (1969).
  8. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1970), p. 376.
  9. W. T. Cathey, Optical Information Processing and Holography (Wiley, New York, 1973), pp. 171 and 376.
  10. K. Biedermann, Optik 28, 160 (1968/69).
  11. D. Gabor, Proc. R. Soc. Ser. A 197, 454 (1949).
  12. R. J. Collier, C. B. Burckhardt, and L. H. Lin, Optical Holography (Academic, New York, 1971), p. 160.
  13. D. Falconer, Phot. Sci. Eng. 10, 133 (1966).
  14. J. C. Urbach and R. W. Meier, Appl. Opt. 8, 2269 (1969).
  15. K. Biedermann and K. A. Stetson, Phot. Sci. Eng. 13, 361 (1969).

Abramowitz, M.

M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1970), p. 376.

Ames, A. E.

G. R. Bird, R. C. Jones, and A. E. Ames, Appl. Opt. 8, 2389 (1969).

Biedermann, K.

K. Biedermann, Appl. Opt. 10, 584 (1971).

K. Biedermann and K. A. Stetson, Phot. Sci. Eng. 13, 361 (1969).

K. Biedermann, Optik 28, 160 (1968/69).

Bird, G. R.

G. R. Bird, R. C. Jones, and A. E. Ames, Appl. Opt. 8, 2389 (1969).

Bjorkstam, J. L.

C. T. Chang and J. L. Bjorkstam, J. Opt. Soc. Am. 65, 1495 (1975).

Burckhardt, C. B.

R. J. Collier, C. B. Burckhardt, and L. H. Lin, Optical Holography (Academic, New York, 1971), p. 160.

Cathey, W. T.

W. T. Cathey, Optical Information Processing and Holography (Wiley, New York, 1973), pp. 171 and 376.

Chang, C. T.

C. T. Chang and J. L. Bjorkstam, J. Opt. Soc. Am. 65, 1495 (1975).

Collier, R. J.

R. J. Collier, C. B. Burckhardt, and L. H. Lin, Optical Holography (Academic, New York, 1971), p. 160.

Falconer, D.

D. Falconer, Phot. Sci. Eng. 10, 133 (1966).

Gabor, D.

D. Gabor, Proc. R. Soc. Ser. A 197, 454 (1949).

Greer, M. O.

W. H. Lee and M. O. Greer, J. Opt. Soc. Am. 61, 402 (1971).

Hill, K. O.

A. Kozma, G. W. Jull, and K. O. Hill, Appl. Opt. 9, 721 (1970).

Jones, R. C.

G. R. Bird, R. C. Jones, and A. E. Ames, Appl. Opt. 8, 2389 (1969).

Jull, G. W.

A. Kozma, G. W. Jull, and K. O. Hill, Appl. Opt. 9, 721 (1970).

Klauder, J. R.

J. R. Klauder and E. C. G. Sudarshan, Fundamentals of Quantum Optics (Benjamin, New York, 1968), p. 17.

Kozma, A.

A. Kozma, G. W. Jull, and K. O. Hill, Appl. Opt. 9, 721 (1970).

Lee, W. H.

W. H. Lee and M. O. Greer, J. Opt. Soc. Am. 61, 402 (1971).

Lin, L. H.

R. J. Collier, C. B. Burckhardt, and L. H. Lin, Optical Holography (Academic, New York, 1971), p. 160.

Meier, R. W.

J. C. Urbach and R. W. Meier, Appl. Opt. 8, 2269 (1969).

Stegun, I. A.

M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1970), p. 376.

Stetson, K. A.

K. Biedermann and K. A. Stetson, Phot. Sci. Eng. 13, 361 (1969).

Sudarshan, E. C. G.

J. R. Klauder and E. C. G. Sudarshan, Fundamentals of Quantum Optics (Benjamin, New York, 1968), p. 17.

Thomas, C. E.

C. E. Thomas, Appl. Opt. 11, 1756 (1972).

Urbach, J. C.

J. C. Urbach and R. W. Meier, Appl. Opt. 8, 2269 (1969).

Other (15)

C. T. Chang and J. L. Bjorkstam, J. Opt. Soc. Am. 65, 1495 (1975).

K. Biedermann, Appl. Opt. 10, 584 (1971).

C. E. Thomas, Appl. Opt. 11, 1756 (1972).

A. Kozma, G. W. Jull, and K. O. Hill, Appl. Opt. 9, 721 (1970).

W. H. Lee and M. O. Greer, J. Opt. Soc. Am. 61, 402 (1971).

J. R. Klauder and E. C. G. Sudarshan, Fundamentals of Quantum Optics (Benjamin, New York, 1968), p. 17.

G. R. Bird, R. C. Jones, and A. E. Ames, Appl. Opt. 8, 2389 (1969).

M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1970), p. 376.

W. T. Cathey, Optical Information Processing and Holography (Wiley, New York, 1973), pp. 171 and 376.

K. Biedermann, Optik 28, 160 (1968/69).

D. Gabor, Proc. R. Soc. Ser. A 197, 454 (1949).

R. J. Collier, C. B. Burckhardt, and L. H. Lin, Optical Holography (Academic, New York, 1971), p. 160.

D. Falconer, Phot. Sci. Eng. 10, 133 (1966).

J. C. Urbach and R. W. Meier, Appl. Opt. 8, 2269 (1969).

K. Biedermann and K. A. Stetson, Phot. Sci. Eng. 13, 361 (1969).

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