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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 56, Iss. 10 — Oct. 1, 1966
  • pp: 1362–1367

Fresnel-Transform Representation of Holograms and Hologram Classification

JOHN T. WINTHROP and C. R. WORTHINGTON  »View Author Affiliations


JOSA, Vol. 56, Issue 10, pp. 1362-1367 (1966)
http://dx.doi.org/10.1364/JOSA.56.001362


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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.

Citation
JOHN T. WINTHROP and C. R. WORTHINGTON, "Fresnel-Transform Representation of Holograms and Hologram Classification," J. Opt. Soc. Am. 56, 1362-1367 (1966)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-56-10-1362


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References

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

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