Detour phase error in the Lohmann hologram.

An analysis of the errors present in the Lohmann hologram of a random phase image is undertaken. A Lohmann hologram in which the magnitude information and the phase information are modulated across the same direction is derived. This structure is used for detailed 1-D computer simulations of image reconstruction for Lohmann-type holograms. Qualitative and quantitative observations are made about the mean square error across the reconstructed image. These observations are then shown to compare well with theoretical predictions from a statistical error model.