Fig. 1. Schematic diagram of in-vehicle display and seating position

Fig. 2. Schematic of structures for（a）display device with OMNF attached and（b）OMNF

Fig. 3. Propagation of vertically incident light through an OMNF

Fig. 4. Brightness of the vertically incident light after passing through the OMNF

Fig. 5. Normalized viewing angle brightness at different incident light.（a）-30°；（b）-20°；（c）-10°；（d）0°；（e）10°；（f）20°；（g）30°.

Fig. 6. Transmittance of OMNF versus the exit and incident angles

Fig. 7. Original brightness viewing angle data.（a）Viewing angle brightness distribution in bright state；（b）Distribution of light leakage values in the dark state of the viewing angle.

Fig. 8. Normalized brightness of the exit angle of OMNF versus the exit and incident angles at on-state

Fig. 9. Normalized brightness of the exit angle of OMNF versus the exit and incident angles at off-state

Fig. 10. Distribution of viewing angle brightness

Fig. 11. Dark state leakage light versus viewing angle

Fig. 12. Distribution of viewing angle contrast

Fig. 13. Normalized contribution value of incident angle for effective viewing angles.（a）-30°；（b）30°.