Abstract

Fourier-transform holograms are attractive for high-storage-density holographic memories. One of the major drawbacks of storing the Fourier transform of the image is that to get an exact reconstruction of the object it is necessary to record the entire Fourier transform, which may have infinite spatial extent. Because this is not feasible, it is necessary to determine how much of the Fourier transform must be recorded to allow an adequate reconstruction of the image. We present a model that predicts the effect of an aperture placed in the Fourier-transform plane of a Fourier-transform imaging system. Changing the size of the aperture is equivalent to changing the amount of the Fourier transform that is recorded. Our model uses a conventional 4-F geometry as well as the more compact geometry commonly used in Fourier-transform holography. The accuracy of the model was verified by comparing its predictions to experimental results.

© 1990 Optical Society of America