Multiplexed phase-encoded lenses written on spatial light modulators

We report the writing of Fresnel phase-encoded lenses onto programmable spatial light modulators (SLM's). When the product of the phase-encoded lens and the two-dimensional Fourier transform of a desired output spatial pattern is written onto the SLM, the desired spatial pattern is focused at programmable distances from the SLM. More importantly the inverted version of the desired pattern normally produced is encoded onto a diverging beam and is not imaged. Theoretical analysis and experimental results using the magneto-optic SLM are presented.