Abstract

The use of anamorphic systems for recording holograms is well known. The two-step nature of the holographic process leads to a simplified reconstruction or allows the use of partially incoherent light. The implementation of an analogous procedure in computer holography offers modified features as well, compared to Fourier holograms. The transform differs according to direction, e.g., a 1-D Fourier transform is used in the horizontal direction and an image is formed in the vertical direction. Both steps are easily implemented numerically to calculate the hologram. Furthermore, the memory and data transfer requirements are relaxed in comparison with 2-D Fourier transforms. On the other hand, the suggested procedure makes it possible to achieve reconstructions of improved quality, for example, plane objects of 4000 × 4000 pixels or a high-speed generation of all rows in parallel. Free parameters are inherent which allow adaptations to special applications. Due to the independence of the generation steps in the two orthogonal directions, each step can be optimized. The Fourier transform can be extended to a Fresnel transform of several sectors displaced in depth, which store the image of a 3-D object with full horizontal parallax.

© 1985 Optical Society of America