Abstract
By using Fourier optics a theoretical analysis of the rainbow holographic process is made. The monochromatic and the polychromatic point spread functions, the monochromatic and the polychromatic transfer functions are derived. From these functions the real resolution (including monochromatic resolution and color blur) of the rainbow holographic image for different limiting apertures and the cutoff spatial frequency of the transfer function are calculated. These calculations are less laborious in contrast to the tedious evaluation of the diffraction theory. The formulas are general and applicable to the conventional hologram. The imaging plane hologram is first explained as a specific case of the rainbow hologram in this paper.
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