We present a method of fractional Fourier transform digital holographic recording by setting an extended Lohmann I-type optical setup in the object arm of a typical off-axis digital holographic recording system. In the experiment, the resolution and the field of view for the reconstructed images of a fractional Fourier transform holograms and an image plane hologram are investigated. When the lens focal length meets a certain condition, the reconstruction imaging resolution of fractional Fourier transform holograms is higher than that of conventional image-plane holograms. The reconstruction results demonstrate that the reconstructed images of the fractional Fourier transform holograms have the higher imaging resolution when the fractional order p is closer to 1.
A method of the zero-order-removal off-axis digital holographic reconstruction by recording three holograms with different beam ratios is presented. The zero-order-removal hologram can be constituted using two fitting coefficients in the combination of three holograms, in which the three off-axis holograms with different intensity ratios of the object and reference beams are recorded via arbitrarily turning a half-wave plate. The validity of the zero-order removal of the resultant hologram is proved by expression. The filtering region for the zero-order-removal hologram can extend to the center of its spatial-frequency spectrum domain, which makes higher spatial frequencies on the positive first-order intercepted. In the experiments, the reconstructed amplitude and phase images demonstrate the effectiveness of this zero-order-removal approach and the improvement on imaging resolution.
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