Fig. 1. Self-healing mechanism of the conical wave-fields.

Fig. 2. Schematic of experimental setup on self-healing moiré wave fields. CCD, charge-coupled device; SLM, spatial light modulator.

Fig. 3. Self-healing of the wave fields with diameters of obstacle of (a) 25 mm, (b) 55 mm, (c) 90 mm, and (d) 130 mm in front of f₀.

Fig. 4. Self-healing of the wave fields with small defects. (a1) Wave field with defects at R = 50 µm; (a2)–(a4) wave-field experimental results at 10, 15, and 25 mm behind the focal plane; (b1) wave field with defects at R = 125 µm; (b2)–(b4) wave-field experimental results at 25, 35, and 60 mm behind the focal plane; (c1) wave-field experimental diagram of a triangular defect; (c2)–(c4) wave-field experimental diagram at 25, 35, and 70 mm behind f₀; (d1) wave field with defect position far from the center; (d2)–(d4) wave-field experimental results at 20, 30, and 50 mm behind the focal plane. Insets (the blue diagrams in the upper right corner) are the simulated wave-field intensities.

Fig. 5. Intensities of the wave field in front of f₀. (a1)–(a3) Simulated self-healing results at 60, 35, and 25 mm in front of f₀; (a4) wave field with a defect at f₀; (b1)–(b4) experimental results at the corresponding positions.

Fig. 6. Simulation of the self-healing process. The solid line describes the self-healing of two periodic moiré lattice wave fields (honeycomb). The black dotted and red dotted lines indicate the self-healing of periodic square moiré lattice wave fields and aperiodic moiré lattice wave fields, respectively.

Fig. 7. Linear fitting of minimum self-healing distance.