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.
© 1990 Optical Society of America
Original Manuscript: June 13, 1989
Published: November 10, 1990
Christian Frère, "Reconstruction in inclined planes of curved computer generated holograms," Appl. Opt. 29, 4761-4765 (1990)