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.
JOHN T. WINTHROP and C. R. WORTHINGTON, "Fresnel-Transform Representation of Holograms and Hologram Classification," J. Opt. Soc. Am. 56, 1362-1367 (1966)