Abstract

In previous attempts to record holograms of incoherent objects, the fringe contrast has been quite low, often barely exceeding the photographic grain noise. A method is presented which improves the fringe contrast by allowing only a limited number of object points to contribute to any local fringe pattern in the hologram. The number of object points is reduced by taking the holographic transformation in only one direction while imaging the object onto the hologram plane in the orthogonal direction, using an astigmatic lens system. An interferometric device divides the wavefront and inverts one leg about a line in the imaging direction. The interference patterns from corresponding points are then incoherently superimposed on the hologram. Some experimental results are shown. The objects were illuminated with spatially incoherent light; a rotating diffuser was introduced in a laser beam.

© 1968 Optical Society of America

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References

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    [CrossRef]
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    [CrossRef]

1967 (2)

G. W. Stroke, F. H. Westervelt, and R. G. Zech, Proc. IEEE 55, 109 (1967).
[CrossRef]

M. Marchant and D. Knight, Opt. Acta 14, 199 (1967).
[CrossRef]

1966 (6)

E. Spitz and A. Werts, Comp. Rend. 262, B758 (1966).

G. D. Cochran, J. Opt. Soc. Am. 56, 1513 (1966).
[CrossRef]

P. J. Peters, Appl. Phys. Letters 8, 209 (1966).
[CrossRef]

H. R. Worthington, J. Opt. Soc. Am. 56, 1397 (1966).
[CrossRef]

W. D. Montgomery, J. Opt. Soc. Am. 56, 1769 (1966).
[CrossRef]

A. Kozma and N. Massey, J. Opt. Soc. Am. 56, 537A (1966).

1965 (3)

A. W. Lohmann, J. Opt. Soc. Am. 55, 1555 (1965).
[CrossRef]

J. T. Winthrop and C. R. Worthington, Phys. Letters 15, 124 (1965).
[CrossRef]

G. W. Stroke and R. C. Restrick, Appl. Phys. Letters 7, 229 (1965).
[CrossRef]

1963 (1)

1962 (1)

Cochran, G. D.

Knight, D.

M. Marchant and D. Knight, Opt. Acta 14, 199 (1967).
[CrossRef]

Kozma, A.

A. Kozma and N. Massey, J. Opt. Soc. Am. 56, 537A (1966).

Leith, E. N.

Lohmann, A. W.

Marchant, M.

M. Marchant and D. Knight, Opt. Acta 14, 199 (1967).
[CrossRef]

Massey, N.

A. Kozma and N. Massey, J. Opt. Soc. Am. 56, 537A (1966).

Mertz, L.

L. Mertz, Transformations in Optics (John Wiley & Sons, New York, 1965), p. 110.

L. Mertz and N. O. Young, in Proceedings of the Conference on Optical Instruments and Techniques in London 1961, K. J. Habell, Ed. (Chapman and Hall Ltd., London, 1962), p. 305.

Montgomery, W. D.

Peters, P. J.

P. J. Peters, Appl. Phys. Letters 8, 209 (1966).
[CrossRef]

Restrick, R. C.

G. W. Stroke and R. C. Restrick, Appl. Phys. Letters 7, 229 (1965).
[CrossRef]

Spitz, E.

E. Spitz and A. Werts, Comp. Rend. 262, B758 (1966).

Stroke, G. W.

G. W. Stroke, F. H. Westervelt, and R. G. Zech, Proc. IEEE 55, 109 (1967).
[CrossRef]

G. W. Stroke and R. C. Restrick, Appl. Phys. Letters 7, 229 (1965).
[CrossRef]

Upatnieks, J.

Werts, A.

E. Spitz and A. Werts, Comp. Rend. 262, B758 (1966).

Westervelt, F. H.

G. W. Stroke, F. H. Westervelt, and R. G. Zech, Proc. IEEE 55, 109 (1967).
[CrossRef]

Winthrop, J. T.

J. T. Winthrop and C. R. Worthington, Phys. Letters 15, 124 (1965).
[CrossRef]

Worthington, C. R.

J. T. Winthrop and C. R. Worthington, Phys. Letters 15, 124 (1965).
[CrossRef]

Worthington, H. R.

Young, N. O.

L. Mertz and N. O. Young, in Proceedings of the Conference on Optical Instruments and Techniques in London 1961, K. J. Habell, Ed. (Chapman and Hall Ltd., London, 1962), p. 305.

Zech, R. G.

G. W. Stroke, F. H. Westervelt, and R. G. Zech, Proc. IEEE 55, 109 (1967).
[CrossRef]

Appl. Phys. Letters (2)

G. W. Stroke and R. C. Restrick, Appl. Phys. Letters 7, 229 (1965).
[CrossRef]

P. J. Peters, Appl. Phys. Letters 8, 209 (1966).
[CrossRef]

Comp. Rend. (1)

E. Spitz and A. Werts, Comp. Rend. 262, B758 (1966).

J. Opt. Soc. Am. (7)

Opt. Acta (1)

M. Marchant and D. Knight, Opt. Acta 14, 199 (1967).
[CrossRef]

Phys. Letters (1)

J. T. Winthrop and C. R. Worthington, Phys. Letters 15, 124 (1965).
[CrossRef]

Proc. IEEE (1)

G. W. Stroke, F. H. Westervelt, and R. G. Zech, Proc. IEEE 55, 109 (1967).
[CrossRef]

Other (2)

L. Mertz and N. O. Young, in Proceedings of the Conference on Optical Instruments and Techniques in London 1961, K. J. Habell, Ed. (Chapman and Hall Ltd., London, 1962), p. 305.

L. Mertz, Transformations in Optics (John Wiley & Sons, New York, 1965), p. 110.

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Figures (4)

Fig. 1
Fig. 1

Optical arrangement for recording 1-D incoherent holograms. For notation see text.

Fig. 2
Fig. 2

Example of reconstruction from a hologram of transparent letters on an opaque background taken in spatially incoherent light. (a) shows the object with letters of 1-mm height, (b) the hologram in which a one-to-one imaging was performed in the vertical direction, and (c) the reconstructed image.

Fig. 3
Fig. 3

Example of reconstruction from a hologram of a continuous-tone object. (a) shows the object and (b) the corresponding reconstruction. (c) shows the same object, but overlapped with a grid pattern, and (d) the corresponding reconstructed image. The height of the object was 12 mm.

Fig. 4
Fig. 4

Example of reconstruction from a hologram of a regular as well as irregular binary object. (a) shows a portion of the object with horizontal channels of 0.1-mm height and (b) the reconstructed image.

Equations (1)

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n | u ( x n ) | 2 { exp ( i k x n ξ / f s ) + exp ( i k x n ξ / f s ) } 2 = n 4 | u ( x n ) | 2 cos 2 ( k x n ξ / f s ) = n 2 | u ( x n ) | 2 { 1 + cos ( 2 k x n ξ / f s ) } .