Abstract

When a hologram is desired from an object which does not exist physically but is known in mathematical terms, one can compute the hologram. An automatic plotter will make a drawing at a large scale which is then reduced photographically. Since the drawing can contain only black and white areas, we have developed a theory for binary holograms. They are equivalent in terms of image reconstruction with ordinary holograms. This has been proven theoretically and verified experimentally.

© 1967 Optical Society of America

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  1. B. R. Brown, A. W. Lohmann, Appl. Opt. 5, 967 (1966).
    [CrossRef] [PubMed]
  2. D. Hauk, A. Lohmann, Optik 15, 275 (1958).
  3. C. A. Taylor, H. Lipson, Optical Transforms (Bell, London, 1964); G. Harburn, K. Walkley, C. A. Taylor, Nature 205, 1096 (1965).
  4. A. Kozma, D. L. Kelly, Appl. Opt. 4, 37 (1965).
    [CrossRef]
  5. J. P. Waters, Appl. Phys. Letters 9, 405 (1957).
    [CrossRef]
  6. M. Marquet, J. Tsujiuchi, Opt. Acta 8, 267 (1961).
    [CrossRef]
  7. A. W. Lohmann, D. P. Paris, J. Opt. Soc. Am. 56, 537A (1966).
  8. J. W. Cooley, J. W. Tukey, Math. Comp. 19, 297 (1965); IBM Share Libr. HARM 3425.
    [CrossRef]
  9. E. N. Leith, J. Upatnieks, J. Opt. Soc. Am. 54, 1295 (1964).
    [CrossRef]
  10. B. R. Brown, A. W. Lohmann, D. P. Paris, Opt. Acta 13, 377 (1966).
  11. A. W. Lohmann, D. P. Paris, J. Opt. Soc. Am. 56, 1413 A (1966).
  12. A. W. Lohmann, D. P. Paris, IEEE J. Quantum Electron. QE-2, LXV (1966).

1966

B. R. Brown, A. W. Lohmann, D. P. Paris, Opt. Acta 13, 377 (1966).

A. W. Lohmann, D. P. Paris, J. Opt. Soc. Am. 56, 1413 A (1966).

A. W. Lohmann, D. P. Paris, IEEE J. Quantum Electron. QE-2, LXV (1966).

B. R. Brown, A. W. Lohmann, Appl. Opt. 5, 967 (1966).
[CrossRef] [PubMed]

A. W. Lohmann, D. P. Paris, J. Opt. Soc. Am. 56, 537A (1966).

1965

J. W. Cooley, J. W. Tukey, Math. Comp. 19, 297 (1965); IBM Share Libr. HARM 3425.
[CrossRef]

A. Kozma, D. L. Kelly, Appl. Opt. 4, 37 (1965).
[CrossRef]

1964

1961

M. Marquet, J. Tsujiuchi, Opt. Acta 8, 267 (1961).
[CrossRef]

1958

D. Hauk, A. Lohmann, Optik 15, 275 (1958).

1957

J. P. Waters, Appl. Phys. Letters 9, 405 (1957).
[CrossRef]

Brown, B. R.

B. R. Brown, A. W. Lohmann, D. P. Paris, Opt. Acta 13, 377 (1966).

B. R. Brown, A. W. Lohmann, Appl. Opt. 5, 967 (1966).
[CrossRef] [PubMed]

Cooley, J. W.

J. W. Cooley, J. W. Tukey, Math. Comp. 19, 297 (1965); IBM Share Libr. HARM 3425.
[CrossRef]

Hauk, D.

D. Hauk, A. Lohmann, Optik 15, 275 (1958).

Kelly, D. L.

A. Kozma, D. L. Kelly, Appl. Opt. 4, 37 (1965).
[CrossRef]

Kozma, A.

A. Kozma, D. L. Kelly, Appl. Opt. 4, 37 (1965).
[CrossRef]

Leith, E. N.

Lipson, H.

C. A. Taylor, H. Lipson, Optical Transforms (Bell, London, 1964); G. Harburn, K. Walkley, C. A. Taylor, Nature 205, 1096 (1965).

Lohmann, A.

D. Hauk, A. Lohmann, Optik 15, 275 (1958).

Lohmann, A. W.

A. W. Lohmann, D. P. Paris, J. Opt. Soc. Am. 56, 1413 A (1966).

B. R. Brown, A. W. Lohmann, D. P. Paris, Opt. Acta 13, 377 (1966).

A. W. Lohmann, D. P. Paris, J. Opt. Soc. Am. 56, 537A (1966).

A. W. Lohmann, D. P. Paris, IEEE J. Quantum Electron. QE-2, LXV (1966).

B. R. Brown, A. W. Lohmann, Appl. Opt. 5, 967 (1966).
[CrossRef] [PubMed]

Marquet, M.

M. Marquet, J. Tsujiuchi, Opt. Acta 8, 267 (1961).
[CrossRef]

Paris, D. P.

A. W. Lohmann, D. P. Paris, J. Opt. Soc. Am. 56, 1413 A (1966).

A. W. Lohmann, D. P. Paris, J. Opt. Soc. Am. 56, 537A (1966).

B. R. Brown, A. W. Lohmann, D. P. Paris, Opt. Acta 13, 377 (1966).

A. W. Lohmann, D. P. Paris, IEEE J. Quantum Electron. QE-2, LXV (1966).

Taylor, C. A.

C. A. Taylor, H. Lipson, Optical Transforms (Bell, London, 1964); G. Harburn, K. Walkley, C. A. Taylor, Nature 205, 1096 (1965).

Tsujiuchi, J.

M. Marquet, J. Tsujiuchi, Opt. Acta 8, 267 (1961).
[CrossRef]

Tukey, J. W.

J. W. Cooley, J. W. Tukey, Math. Comp. 19, 297 (1965); IBM Share Libr. HARM 3425.
[CrossRef]

Upatnieks, J.

Waters, J. P.

J. P. Waters, Appl. Phys. Letters 9, 405 (1957).
[CrossRef]

Appl. Opt.

Appl. Phys. Letters

J. P. Waters, Appl. Phys. Letters 9, 405 (1957).
[CrossRef]

IEEE J. Quantum Electron.

A. W. Lohmann, D. P. Paris, IEEE J. Quantum Electron. QE-2, LXV (1966).

J. Opt. Soc. Am.

A. W. Lohmann, D. P. Paris, J. Opt. Soc. Am. 56, 1413 A (1966).

A. W. Lohmann, D. P. Paris, J. Opt. Soc. Am. 56, 537A (1966).

E. N. Leith, J. Upatnieks, J. Opt. Soc. Am. 54, 1295 (1964).
[CrossRef]

Math. Comp.

J. W. Cooley, J. W. Tukey, Math. Comp. 19, 297 (1965); IBM Share Libr. HARM 3425.
[CrossRef]

Opt. Acta

B. R. Brown, A. W. Lohmann, D. P. Paris, Opt. Acta 13, 377 (1966).

M. Marquet, J. Tsujiuchi, Opt. Acta 8, 267 (1961).
[CrossRef]

Optik

D. Hauk, A. Lohmann, Optik 15, 275 (1958).

Other

C. A. Taylor, H. Lipson, Optical Transforms (Bell, London, 1964); G. Harburn, K. Walkley, C. A. Taylor, Nature 205, 1096 (1965).

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