Error diffusion (ED) and pseudorandom encoding (PRE) methods of designing F
ourier transform holograms are compared in Brms of their properties and the
optical performance of the resulting far-field diffraction patterns. Altho
ugh both methods produce a diffuse noise pattern due to the error between t
he desired fully complex pattern and the encoded modulation, the PRE errors
reconstruct uniformly over the nonredundant band-width of the discrete-pix
el spatial Light modulator, while the ED errors reconstruct outside the win
dow of the designed diffraction pattern. Combining the two encoding methods
produces higher-fidelity diffraction patterns than either method produces
individually. For some designs the fidelity of the ED-PRE algorithm is even
higher over the entire nonredundant bandwidth than for the previously repo
rted [J. Opt. Sec. Am. A 16, 2425 (1999)] minimum-distance-PRE algorithm. (
C) 2000 Optical Society of America [S0740-3232(00)00609-8] OCIS codes: 230.
6120, 090.1760, 070.2580, 030.6600.