Abstract
It is known that three dimensional objects form three dimensional images by using the hologram technique and it has recently been shown that when the photographic record (hologram) is bleached to make a phase hologram, three dimensional images also result. The purpose of this paper is to demonstrate, theoretically these experimental observations. In particular a three dimensional boundary value problem is considered and the resulting three dimensional image is derived both for amplitude and phase holograms and for reflecting and transmitting objects. The speckling that appears superimposed upon the image is also derived from the same model by assuming that rough surfaces in the optical system are random noise generators.
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