Reconstruction in inclined planes of curved computer generated holograms.

The determination of the complex amplitude in the hologram is one major step in the realization of computer generated holograms. Usually the input distribution is assumed to be in a plane parallel to the hologram plane. However, sometimes a more flexible geometry is of interest. Here, in particular an arbitrarily shaped computer generated hologram of a plane input distribution is considered. The calculation of the complex amplitude in the hologram mainly consists of a Fourier transformation and a nonlinear coordinate transformation. The feasibility of this procedure is demonstrated by optical reconstructions of cylindrically shaped computer generated holograms in arbitrarily oriented planes.