Formation of interference patterns in the case of double-exposure recording of quasi-Fourier holograms and speckle-interferograms

摘要

Conditions for recording and reproduction of double-exposure quasi-Fourier holograms are analyzed for the case where a diffusively scattering plane surface is transversely or longitudinally displaced before the second exposure. It is shown that the interference patterns formed at the reproduction stage are localized both in the scatterer and hologram planes. In so doing, the parameters of the interference patterns localized in the scatterer plane depend on the radius of curvature of diverging or converging spherical waves of radiation used for illuminating the scatterer at the recording stage, while for those localized in the hologram plane, the parameters depend on the focal length of the lens forming a quasi-Fourier-transform. In its turn, the sensitivity of the speckle-interferometer depends on the radius of curvature of diverging or converging waves in the case where the scatterer is transversely displaced before the second exposure. The results of the experimental studies agree with theory.