Analytical expressions for the wave-front aberration caused by deformation of the hologram medium have been derived. These expressions are used for the determination of allowable tolerance of deformation. In the case of nearly diffraction-limited imaging, the tolerance is determined by evaluating the wave-front aberration. For other cases, in which more aberration is allowed, the tolerance is determined by evaluating the geometrical aberration. The dependence of deformation tolerance upon the type of hologram, the size of hologram, and the recording arrangement, especially that of the object and the reference beam, is shown. For small-size holograms, which are attractive for high-density information storage, the tolerance depends mainly upon the recording arrangement, and not upon the type of hologram. For larger-sized holograms, Fourier-transform holograms with parallel reference beams are the best, with regard to deformation tolerance. Numerical examples of the tolerance are given for nearly diffraction-limited imaging, using the Rayleigh criterion.
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