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The distribution of irradiance on the hologram plane during the creation of holograms of physical objects (toy trains, etc.) is shown to be described by the noncentral chi-squared distribution. The method of calculation of the irradiance distribution from the ratio of reference-beam to object-beam powers is presented, and irradiance distributions for several different beam ratios are shown. From these distributions, the relation between nonlinearity of recording and holographic efficiency can be deduced, given the response characteristics of the hologram-recording material.
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David Vilkomerson (1971) studied this question.
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