Fig. 1. Principle of scanning horizontal light field 3D display. (a) Diagram of the system;(b) mapping relationship between reconstruction spatial point and screen projected point

Fig. 2. Horizontal diffusing angle of the incident light in real system depends on the screen's horizontal diffusing angle and the pupil of the projector

Fig. 3. Expression of horizontal light field. (a) Diffusing rays set Ξ(Q); (b) simplified diffusing rays set Ξ'(Q) and the point spread function of the sampling plane

Fig. 4. Point spread function of the horizontal light field in sampling planes with different heights. (a) Propagation mode of light rays in x-z plane; (b) propagation mode of light rays in y-z plane; (c) schematic diagram of point spread function in different sampling planes

Fig. 5. Display system prototype of horizontal light field

Fig. 6. For the reconstructed point hQ=30 mm, the energy distribution in wdiff direction of the point spread function indifferent sampling planes. (a) σx=0.25°, M=600; (b) σx=0.5°, M=600; (c) σx=0.25°, M=300; (d) σx=0.25°, M=1200

Fig. 7. Simulation result of the maximum height of monocular focusing under different σx and M

Fig. 8. Monocular focusing results of different reconstruction heights under different parameters. (a) σx=0.28°, M=600, h=40 mm; (b) σx=0.28°, M=600, h=50 mm; (c) σx=0.5°, M=300, h=10 mm and 20 mm, respectively, and σx=0.56°, M=600, h=15 mm and 25 mm, respectively