Fig. 1. (a) Schematic of a Greek-ladder sieve array, in which the white area is transparent; (b) the intensity distribution of one Greek-ladder sieve along the z axis; (c) the first Airy spot with a diameter of 15.2 μm; (d) the second Airy spot with a diameter of 21.5 μm.

Fig. 2. Schematic of multiple reference lens-less Fourier-transform holography, in which the Greek-ladder sieve array plays the role of splitter, and condenser lenses and the three pinholes work as filters and quasi-point light sources on the object plane.

Fig. 3. (a) Test object with four transparent lines, anti-clockwise from the upper-right corner: 50μm×250μm, 100μm×200μm, 150μm×150μm, and 200μm×300μm; (b) hologram on the CCD with 1024×1024pixels; (c) reconstructed image (1024×1024pixels); (d) enlargement of one subgraph (101×101pixels); (e) weighted-average reconstruction from the three subgraphs in (c) (101×101pixels).