Fig. 1. Schematic of the round-trip imaging through a scattering medium.

Fig. 2. Experimental setup. Scattering medium (Thorlabs Optics 220 grit ground-glass diffuser); DMD, digital micromirror devices (ViALUX, V-7001VIS, 1024  pixel×768  pixel); SLM, spatial light modulator (Meadowlark Optics, P1920-0635-HDMI); CCD (Hamamatsu, C13440-20CU, 2048  pixel×2048  pixel, the central 2048  pixel×1536  pixel area is used for imaging); L, lens; P, polarizer; BS, beam splitter; A, attenuation film.

Fig. 3. Typical measured T(x,y;ξ,η) elements. (a) Amplitude and (b) corresponding phase, respectively. Scale bars: 4000 μm; color bar: phase in radian.

Fig. 4. Reconstruction of the object constructed by DMD. (a) A binary amplitude object constructed by using DMD. (b) Output speckle image of the object captured by CCD. (c) Interference image of the object wave and the reference wave. (d), (e) Amplitude and phase of E(x,y), respectively. (f) Recovered object. Scale bars indicate 1000 μm in (a), (f) and 2000 μm in (b), (c), (d), (e). Color bar: phase in radian.

Fig. 5. Reconstruction of the real target object. (a) USAF 1951 test pattern. (b) Output speckle image of the object. (c) Recovered object. Scale bars indicate 300 μm in (a), (c) and 2000 μm in (b).

Fig. 6. (a) Speckle pattern of the illumination wave. (b) Object constructed using the DMD. (c) Intensity of the reflected wave of the object. Scale bar: 1000 μm.