Abstract

The commercial liquid crystal television (LCTV) provides interesting phase modulation which is useful for real-time kinoform, phase-only filter (POF) and electro-optic zoom lens. But the LCTV exhibits also coupled amplitude modulation and phase mismatching (Φ_max).<2π). We compare analytic solution, input-output iteration, simulated annealing and genetic algorithm for designing optimal phase holograms. The reconstructed image can be with random phase in the case of the kinoform or with a given amplitude and phase function in the case of the POF. The error in the reconstructed image is the central spot of zero order and other orders of diffraction caused by phase-amplitude cross coupling and phase mismatching as observed in optical experiments. Our analytical solution shows that the error can be reduced when the sampling points on the operating curve of the LCTV satisfy certain conditions. For the simulated annealing and genetic algorithm we defined the cost function that can be directly calculated without calculating the Fourier transform of the hologram so that the algorythms are fast and efficient. Experimental results will be shown.

© 1993 Optical Society of America