Abstract

The transmittance of a hologram is described in terms of Fresnel transformation. This description facilitates the establishment of requirements for the hologram-recording material and it leads naturally to a classification of holograms made from plane transmitting objects illuminated by a point source. Four subtypes are singled out: the Fresnel-transform hologram, geometrical shadowgram, quasi-Fourier-transform hologram, and Fourier-transform hologram. The type of hologram produced depends on the spatial-frequency content and over-all dimension of the object. Carrier-frequency and film requirements vary with the type of hologram. Experimental arrangements with and without lenses are briefly described.

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  1. E. N. Leith and J. Upatnieks, J. Opt. Soc. Am. 55, 569 (1965).
  2. E. N. Leith, J. Upatnieks, and K. A. Haines, J. Opt. Soc. Am. 55, 981 (1965).
  3. R. W. Meier, J. Opt. Soc. Am. 55, 987 (1965).
  4. J. A. Armstrong, IBM J. Res. Develop. 9, 171 (1965).
  5. J. T. Winthrop and C. R. Worthington, J. Opt. Soc. Am. 56, 588 (1966).
  6. E. N. Leith and J. Upatnieks, J. Opt. Soc. Am. 52, 1123 (1962).
  7. D. Gabor, Proc. Roy. Soc. (London) A197, 454 (1949).
  8. G. L. Rogers, Proc. Roy. Soc. (Edinburgh) A58, 193 (1950โ€“51).
  9. H. M. A. El Sum, "Reconstructed Wavefront Microscopy," Ph.D. thesis, Stanford University (November 1952).
  10. J. T. Winthrop and C. R. Worthington, Phys. Letters 15, 124 (1965).
  11. We also note recent work along these lines by H. W. Rose, J. Opt. Soc. Am. 55, 1565A (1965); and R. F. van Ligten, J. Opt. Soc. Am. 55, 1570A (1965); 56, 1009 (1966).

Armstrong, J. A.

J. A. Armstrong, IBM J. Res. Develop. 9, 171 (1965).

Gabor, D.

D. Gabor, Proc. Roy. Soc. (London) A197, 454 (1949).

Haines, K. A.

E. N. Leith, J. Upatnieks, and K. A. Haines, J. Opt. Soc. Am. 55, 981 (1965).

Leith, E. N.

E. N. Leith and J. Upatnieks, J. Opt. Soc. Am. 55, 569 (1965).

E. N. Leith, J. Upatnieks, and K. A. Haines, J. Opt. Soc. Am. 55, 981 (1965).

E. N. Leith and J. Upatnieks, J. Opt. Soc. Am. 52, 1123 (1962).

Meier, R. W.

R. W. Meier, J. Opt. Soc. Am. 55, 987 (1965).

Rogers, G. L.

G. L. Rogers, Proc. Roy. Soc. (Edinburgh) A58, 193 (1950โ€“51).

Rose, H. W.

We also note recent work along these lines by H. W. Rose, J. Opt. Soc. Am. 55, 1565A (1965); and R. F. van Ligten, J. Opt. Soc. Am. 55, 1570A (1965); 56, 1009 (1966).

Sum, H. M. A. El

H. M. A. El Sum, "Reconstructed Wavefront Microscopy," Ph.D. thesis, Stanford University (November 1952).

Upatnieks, J.

E. N. Leith and J. Upatnieks, J. Opt. Soc. Am. 52, 1123 (1962).

E. N. Leith, J. Upatnieks, and K. A. Haines, J. Opt. Soc. Am. 55, 981 (1965).

E. N. Leith and J. Upatnieks, J. Opt. Soc. Am. 55, 569 (1965).

Winthrop, J. T.

J. T. Winthrop and C. R. Worthington, J. Opt. Soc. Am. 56, 588 (1966).

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

Worthington, C. R.

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

J. T. Winthrop and C. R. Worthington, J. Opt. Soc. Am. 56, 588 (1966).

Other

E. N. Leith and J. Upatnieks, J. Opt. Soc. Am. 55, 569 (1965).

E. N. Leith, J. Upatnieks, and K. A. Haines, J. Opt. Soc. Am. 55, 981 (1965).

R. W. Meier, J. Opt. Soc. Am. 55, 987 (1965).

J. A. Armstrong, IBM J. Res. Develop. 9, 171 (1965).

J. T. Winthrop and C. R. Worthington, J. Opt. Soc. Am. 56, 588 (1966).

E. N. Leith and J. Upatnieks, J. Opt. Soc. Am. 52, 1123 (1962).

D. Gabor, Proc. Roy. Soc. (London) A197, 454 (1949).

G. L. Rogers, Proc. Roy. Soc. (Edinburgh) A58, 193 (1950โ€“51).

H. M. A. El Sum, "Reconstructed Wavefront Microscopy," Ph.D. thesis, Stanford University (November 1952).

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

We also note recent work along these lines by H. W. Rose, J. Opt. Soc. Am. 55, 1565A (1965); and R. F. van Ligten, J. Opt. Soc. Am. 55, 1570A (1965); 56, 1009 (1966).

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