Holography in a Spatially Inhomogeneous Medium.

by Harold T. Yura

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A Huygens-Fresnel principle, extended to a medium that exhibits a spatial variation in the index of refraction, is used to calculate the resulting fringe patterns in the Fresnel-Fraunhofer and point reference Fourier transform methods of holography. In particular, the resolution limits pertaining to these two methods are derived. In the Fresnel-Fraunhofer method, the effect of the medium is to give a lateral reduction in the size of the hologram, which leads to a corresponding loss of resolution. On the other hand, in the point reference Fourier transform method, the effect of the medium does not limit the lateral extent of the hologram but gives a uniform reduction in amplitude to the resulting fringe pattern. Thus, in this latter method, resolution is not degraded, but the medium does limit the size of objects that can form holograms. Numerical results pertaining to underwater holography are given. 20 pp. (Author)

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