To make full use of the spatial bandwidth product of imaging systems, grating based single-shot digital lens-free holography with spatial spectrum multiplexing is proposed. Multiple object waves are generated by a one-dimensional grating which is placed in near contact with the object to avoid the crosstalk among different diffraction orders during reconstruction. A multiplexed off-axis hologram is created by interference between the object waves and reference wave and captured by an image sensor in one shot. Multiple imaging areas corresponding to the captured object waves can be simultaneously retrieved during reconstruction, which is equivalent to increase the imaging area. A formula which guarantees accurate full FOV imaging without crosstalk or information loss is presented. The imaging experiments of a USAF resolution target are presented to demonstrate the feasibility of this method.
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