Fig. 1. Schematic of a lensless Wiener–Khinchin telescope. D is the diameter of the spatial random phase modulator. z1 and z2 are distances from the object and detection planes to the spatial random phase modulator, respectively.

Fig. 2. Experimental setup of the lensless Wiener–Khinchin telescope.

Fig. 3. Experimental results with different narrow-band filters. (a) A photograph of the double slit, where a yellow scale bar is inserted in the lower right corner. Reconstructed images with different narrow-band filters: (b) λ=532nm, w=3nm; (c) λ=532nm, w=10nm; (d) λ=550nm, w=10nm; (e) λ=550nm, w=25nm; (f) λ=550nm, w=50nm.

Fig. 4. Resolution at different apertures of the spatial random phase modulator. Reconstructed images with different apertures: (a) D=4mm, (b) D=4.5mm, (c) D=5mm, (d) D=6mm, (e) D=8mm. (f) The theoretical resolutions. (g) A comparison between theoretical and experimental resolutions at D=5mm, and the vertical red bar denotes a cross-section of the experimental result of the double slit in Fig. 4(c).

Fig. 5. Resolution at different z2. Reconstructed images with different z2: (a) z2=4mm, (b) z2=6mm, (c) z2=8mm, (d) z2=10mm, (e) z2=12mm. (f) The theoretical resolutions. (g) A comparison between the theoretical and experimental resolutions at z2=8mm, and the vertical red bar denotes a cross-section of the experimental result of the double slit in Fig. 5(c).

Fig. 6. Imaging of a letter π and a panda toy. (a) and (b) are photographs, where a yellow scale bar is inserted in the lower right corner, respectively. (c) and (d) are reconstructed images, respectively.

Fig. 7. Imaging an object placed equivalently infinite far away. (a) A photograph of the target, where a yellow scale bar is inserted in the lower right corner. (b) Reconstructed image.