Fig. 1. Experimental schematic of lensless pseudo-thermal light GI for an axially moving target.

Fig. 2. Phenomenological explanation of motion blur of lensless pseudo-thermal light GI for an axially moving target. The pseudo-thermal light S acts as a phase conjugated mirror.

Fig. 3. Experimental reconstruction results of GI without and with speckle-resizing for an axially moving target with an unknown constant speed (the motion speed is about 80 μm/s and the axial motion range Δz1=40  mm). (a) GI reconstruction result without speckle-resizing; (b) GI reconstruction results with speckle-resizing, corresponding to the estimated speed of point B (○) labeled in (d); (c) GI reconstruction results with speckle-resizing, corresponding to the estimated speed of point C (▵) labeled in (d); (d) relationship between the discrepancy D(v) and v (corresponding to the case Δx=4.0  mm). From the left to right of (a) through (c), the deviation of the target’s center position from the optical axis Δx is 0, 1.0, 2.0, 3.0, 4.0, and 5.0 mm.

Fig. 4. Effect of the motion range Δz1 on GI without and with speckle-resizing (the deviation of the target’s center position Δx is fixed as 4.0 mm). (a) For small motion range, Δz1=20  mm, the motion speed is approximately 40 μm/s; (b) for medium motion range, Δz1=40  mm, the motion speed is approximately 80 μm/s; (c) for large motion range, Δz1=60  mm, the motion speed is approximately 120 μm/s. For (a) through (c), the corresponding experimental reconstruction results of GI without and with speckle-resizing are listed at upper left corners: the left subfigure is the GI reconstruction result without speckle-resizing; the middle subfigure is the GI reconstruction results with speckle-resizing, corresponding to the estimated speed of point B (○); and the right subfigure is the GI reconstruction results with speckle-resizing, corresponding to the estimated speed of point C (▵).