Fig. 1. Structure of the liquid crystal lens array based on polymer protrusion

Fig. 2. Electric field distribution of the liquid crystal lens array at voltage-on state

Fig. 3. （a）Cross-section view of the liquid crystal lens array potential distribution at voltage-on state；（b）Top view of the liquid crystal lens array potential distribution at voltage-on state.

Fig. 4. （a）Cross section view of the liquid crystal molecules distribution of the liquid crystal lens array at voltage-on state；（b）Top view of the liquid crystal molecules distribution of the liquid crystal lens at voltage-on state.

Fig. 5. Refractive index distribution for the extraordinary ray of a single liquid crystal lens with different operating voltages.（a） V_on=1.5 V_rms；（b）V_on=2 V_rms；（c） V_on=2.5 V_rms；（d）V_on=3 V_rms.

Fig. 6. Refractive index distribution of a single liquid crystal lens with different operating voltages

Fig. 7. （a）Refractive index distribution of a single liquid crystal lens at V_on=2.5 V_rms；（b）Phase distribution of a single liquid crystal lens at V_on=2.5 V_rms.

Fig. 8. （a）Refractive index distribution of a single liquid crystal lens at ε=120，V_on=2.2 V_rms；（b）Phase distribution of a single liquid crystal lens at ε=120，V_on=2.2 V_rms.

Fig. 9. Voltage-dependent focal length of the liquid crystal lens array under different dielectric constant

Fig. 10. Response time of the liquid crystal lens array