Optical EngineeringHologram of the multichannel fractional Fourier transform
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A technology for making multichannel fractional Fourier transform holograms (FRTHs) using a holographic lens array is proposed. With this method, the different-order FRTs can be produced simultaneously for multiple objects. This hologram records the information about both the object wave and the FRT system, including every fractional order, the focal length of every holographic lens, and the distance between the object and the holographic lens array. The FRTH cannot be reconstructed if system parameters are unknown, so this technology can improve the capability of optical anticounterfeiting techniques. Experiments have proved the theoretical analysis correct.