Horner efficiency of phase-only and binary phase-only filters

The Horner efficiency for the phase-only filter and binary phase-only filter used for optical pattern recognition is discussed relative to both the filter formulation algorithm and the geometry of the object. Using computer simulations, we find that up to 80% of the incident energy can result in the peak of the correlation signal under proper conditions with the phase-only filter. Experimental results are obtained by using the binary phase-only filter written onto magneto-optic spatial light modulator.