Fig. 1. Schematic diagram of the liquid crystal cell device structure

Fig. 2. Schematic of in-plane beam splitting during laser incidence on the liquid crystal cell

Fig. 3. Diagram of beam contraction optical path

Fig. 4. Liquid crystal orientation and refractive index model. （a） Relationship between the equivalent refractive index of the e-light and the azimuth angle （θ） in the NC-M-LC101-152 medium， the attached figure shows the schematic diagram of the liquid crystal molecule's azimuth angle （θ） in the coordinate system； （b） Exposure pattern of a right triangle with an acute angle of 30°； （c） Polarizing microscope images of 30° right triangle at 30°， 45°， 60°， 90° and corresponding director distribution， the orthogonal white line segment represents the polarization direction of the two orthogonal polarizers， and the scale bars in the figure are 200 μm.

Fig. 5. Experimental results of horizontal line polarized light. （a） Schematic diagram of light refraction of horizontal line polarized light incident on the pattern， where α is the incidence angle and β is the refraction angle； （b） Microscope view of the deflection of a beam of horizontal polarized light incident on a triangular pattern of different inclinations， where the exposure pattern is directed at a vector angle of 60°， the white orthogonal line segment represents the polarization direction of the two orthogonal polarizers； （c） Curves of theoretical values for Snell's law at different angles of incidence， marked points are experimental data， the horizontal axis is the incidence angle α （°） and the vertical axis is the refraction angle β （°）， the scale bars are 200 μm.

Fig. 6. Beam splitting effect and intensity comparison of linearly polarized light in different directions in the y-z plane. （a） Beam microscope images of each polarization direction and the normalized light intensity map corresponding to the position of Line I in the figure， the horizontal axis is the vertical pixel grid of the image， and the vertical axis is the light intensity， the scale bars are 100 μm； （b） Intensity of e-light and o-light corresponding to each polarization angle， the horizontal axis is the polarization angle， and the vertical axis is the normalized light intensity.

Fig. 7. Comparison of beam effects of three polarization states. （a） Propagation vector diagram of horizontal line polarized light， vertical line polarized light and right-handed circular polarized light； （b） Beam deflection diagram corresponding to the three polarization states in （a）， the scale bars are 100 μm； （c） Normalized light intensity of the beam divided by three polarization states， corresponding to the intensity distribution map of the three white lines Line I in （b）， the horizontal axis is the vertical pixel grid of the image， and the vertical axis is the normalized light intensity.