Synthesis of deterministic phase codes for phase shifter in holography

A new family of a deterministic phase coding suitable for a phase shifter in holography is proposed. For a phase shifter with matrix-shaped sampling elements, in which phase is shifted by the amount of 0, π/2, π, or 3π/2, new deterministic codes satisfy the two following conditions: (1) nearly uniformity of the Fourier transformed image before insertion of an object, and (2) a constant phase difference (π/2 or -π/2) between the nearest neighbor sampling elements. The diminished fluctuation of the simulated reconstruction image, as well as uniformity of the Fourier transformed image, is experimentally shown as expected from the above conditions. This indicates a novel phase coding for a phase shifter in recording high density and high quality holograms.