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An approach for the optimization and synthesis of a phase-only facetedFresnel type diffractive optical element (FDOE) generating 3D virtual images isproposed. The FDOE is a transmissive Fresnel type DOE array, which produces theperception of a customized floating 3D virtual image behind the FDOE whenilluminated with a divergent monochromatic Light Emitter Diode (LED) source.Each DOE unit of the FDOE is optimized with a modified iterative Fouriertransform algorithm (M-IFTA). Each unit of the FDOE locally deflects theincident light to the same position to form a designated view of the targetplane. The FDOE is fabricated using our home-built parallel writephoto-lithography machine. Numerical simulations and optical experiments areperformed to verify the proposed design method. Photos of the generated imageare also presented. This work can find applications in optical security,anti-counterfeiting, and holographic display.

LED illumination faceted Fresnel DOEs generating perceived virtual 3D vision