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1 September 1991 Spatial frequency analysis for the computer-generated holography of 3-D objects
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Abstract
A method is described that uses a frequency analysis to calculate the wavefront of a diffracted light; a hologram is then produced starting from the generated light. If the Fresnel equation for diffraction is applied, one has to consider a 2-D object, or a 3-D set of cross-sections, to be parallel to the hologram plane. By considering the angular spectrum and its properties concerning translation and rotation, it is possible to calculate the light on a plane rotated with respect to the hologram. To this end, a theory on the angular spectrum has been used, and the rotation transformation has been pointed out. This approach can be applied to generate a synthetic hologram of a 3-D object, considering a 3-D object as a collection of planes translated and rotated in the space. The frequency analysis permits evaluation of the wavefront diffracted by the planes, thus obtaining the field on the hologram plane. The analysis is performed via FFT algorithms. Simple but significant holograms have been generated and a computer reconstruction has been carried out, confirming the validity of this frequency approach.
© (1991) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Tullio Tommasi and Bruno Bianco "Spatial frequency analysis for the computer-generated holography of 3-D objects", Proc. SPIE 1507, Holographic Optics III: Principles and Applications, (1 September 1991); https://doi.org/10.1117/12.47035
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