Abstract

An improved phase coding in computer generated holography can be obtained through a modification of usual methods; the holograms proposed here, with three apertures per sampling cell, are shown to present a correct phase coding although at the cost of a loss in computation time as compared to other methods. Three possible implementation procedures are discussed. Comparison is made with Lohmann-type holograms and experimental results are shown to agree with theory.

© 1976 Optical Society of America 989

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  1. B. R. Brown and A. W. Lohmann, "Complex spatial filtering with binary masks," Appl. Opt. 5, 967 (1966).
  2. A. W. Lohmann and D. P. Paris, "Binary Fraunhofer holograms generated by computer," Appl. Opt. 6, 1739 (1967).
  3. B. R. Brown and A. W. Lohmann, "Computer-generated binary holograms," IBM J. Res. Dev. 13, 160 (1969).
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  5. R. S. Powers and J. W. Goodman, "Error rates in computer-generated holographic memories," Appl. Opt. 14, 1690 (1975)
  6. J. C. Wyant and V. P. Bennett, "Using computer-generated holograms to test aspheric wavefronts," Appl. Opt. 11, 2833 (1972).
  7. O. Bryngdahl, "Optical map transformations," Opt. Commun. 10, 164 (1974).
  8. O. Bryngdahl and W. H. Lee, "Laser beam scanning using computer-generated holograms," Appl. Opt. 15, 183 (1976).
  9. J. W. Goodman and A. M. Silvestri, "Some effects of Fourier-domain phase quantization," IBM J. Res. Dev. 14, 478 (1969).
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  12. J. P. Hugonin and P. Chavel, "A complement to the theory of Lohmann-type computer holograms," Opt. Commun. 16, 342 (1976).
  13. J. S. Sokolnikoff and R. P. Redheffer, Mathematics of Physics and Modern Engineering (McGraw–Hill, New-York, 1958) pp. 696–699.
  14. M. Abramowitz and T. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1965) Chap. 25.
  15. C. B. Burckhardt, "A simplification of Lee's method of generating holograms by computer," Appl. Opt. 9, 1949 (1970).
  16. W. H. Lee, "Sampled Fourier transform hologram generated by computer," Appl. Opt. 9, 639 (1970).
  17. J. Fleuret, "Calcul d'hologrammes à niveaux continus de gris: Application à la synthèse d'une mémoire," Nouv. Rev. d'Opt. 5, 219 (1974).
  18. P. Chavel and S. Lowenthal, "A method of incoherent optical-image processing using synthetic holograms," J. Opt. Soc. Am. 66, 14 (1976).

1976

1975

1974

O. Bryngdahl, "Optical map transformations," Opt. Commun. 10, 164 (1974).

J. Fleuret, "Calcul d'hologrammes à niveaux continus de gris: Application à la synthèse d'une mémoire," Nouv. Rev. d'Opt. 5, 219 (1974).

1972

1971

1970

1969

J. W. Goodman and A. M. Silvestri, "Some effects of Fourier-domain phase quantization," IBM J. Res. Dev. 14, 478 (1969).

B. R. Brown and A. W. Lohmann, "Computer-generated binary holograms," IBM J. Res. Dev. 13, 160 (1969).

1968

1967

1966

Abramowitz, M.

M. Abramowitz and T. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1965) Chap. 25.

Bennett, V. P.

Brown, B. R.

B. R. Brown and A. W. Lohmann, "Computer-generated binary holograms," IBM J. Res. Dev. 13, 160 (1969).

B. R. Brown and A. W. Lohmann, "Complex spatial filtering with binary masks," Appl. Opt. 5, 967 (1966).

Bryngdahl, O.

Burckhardt, C. B.

Chavel, P.

P. Chavel and S. Lowenthal, "A method of incoherent optical-image processing using synthetic holograms," J. Opt. Soc. Am. 66, 14 (1976).

J. P. Hugonin and P. Chavel, "A complement to the theory of Lohmann-type computer holograms," Opt. Commun. 16, 342 (1976).

Dallas, W. J.

Fleuret, J.

J. Fleuret, "Calcul d'hologrammes à niveaux continus de gris: Application à la synthèse d'une mémoire," Nouv. Rev. d'Opt. 5, 219 (1974).

Gabel, A.

Goodman, J. W.

R. S. Powers and J. W. Goodman, "Error rates in computer-generated holographic memories," Appl. Opt. 14, 1690 (1975)

J. W. Goodman and A. M. Silvestri, "Some effects of Fourier-domain phase quantization," IBM J. Res. Dev. 14, 478 (1969).

Hugonin, J. P.

J. P. Hugonin and P. Chavel, "A complement to the theory of Lohmann-type computer holograms," Opt. Commun. 16, 342 (1976).

Lee, W. H.

Liu, B.

Lohmann, A. W.

Lowenthal, S.

Paris, D. P.

Powers, R. S.

Redheffer, R. P.

J. S. Sokolnikoff and R. P. Redheffer, Mathematics of Physics and Modern Engineering (McGraw–Hill, New-York, 1958) pp. 696–699.

Silvestri, A. M.

J. W. Goodman and A. M. Silvestri, "Some effects of Fourier-domain phase quantization," IBM J. Res. Dev. 14, 478 (1969).

Sokolnikoff, J. S.

J. S. Sokolnikoff and R. P. Redheffer, Mathematics of Physics and Modern Engineering (McGraw–Hill, New-York, 1958) pp. 696–699.

Stegun, T. A.

M. Abramowitz and T. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1965) Chap. 25.

Wyant, J. C.

Appl. Opt.

IBM J. Res. Dev.

J. W. Goodman and A. M. Silvestri, "Some effects of Fourier-domain phase quantization," IBM J. Res. Dev. 14, 478 (1969).

B. R. Brown and A. W. Lohmann, "Computer-generated binary holograms," IBM J. Res. Dev. 13, 160 (1969).

J. Opt. Soc. Am.

Nouv. Rev. d'Opt.

J. Fleuret, "Calcul d'hologrammes à niveaux continus de gris: Application à la synthèse d'une mémoire," Nouv. Rev. d'Opt. 5, 219 (1974).

Opt. Commun.

J. P. Hugonin and P. Chavel, "A complement to the theory of Lohmann-type computer holograms," Opt. Commun. 16, 342 (1976).

O. Bryngdahl, "Optical map transformations," Opt. Commun. 10, 164 (1974).

Other

J. S. Sokolnikoff and R. P. Redheffer, Mathematics of Physics and Modern Engineering (McGraw–Hill, New-York, 1958) pp. 696–699.

M. Abramowitz and T. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1965) Chap. 25.

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