Fig. 1. Model of freeform surface beam intensity control based on point source approximation

Fig. 2. Regulation model of beam intensity control by freeform surface based on parallel light approximation

Fig. 3. Model for simultaneous control of beam intensity and wavefront of freeform surface

Fig. 4. Discrete model in spherical coordinate system. (a) Three kinds of incident rays; (b) definition of constraint at vertex

Fig. 5. Discrete model with difference instead of differential. (a) Interior points; (b) boundary points

Fig. 6. Simulation verification of beam intensity regulation by freeform surface based on point source approximation. (a) Geometrical arrangement of beam shaping system; (b) prescribed irradiance distributions on target planes; (c) entrance surface profile; (d) exit surface profile; (e) Gaussian curvature distribution of exit surface; (f) simulation results of irradiance on target planes

Fig. 7. Experimental verification of beam intensity regulation by freeform surface based on point source approximation. (a) Freeform lens; (b) experimental setup; (c) experimental result

Fig. 8. Simulation verification for beam intensity control of parallel light. (a) System structure; (b) irradiance distribution of incident light section; (c) simulation result; (d) Gaussian curvature distribution of freeform surface

Fig. 9. Experimental verification for beam intensity control of parallel light. (a) Freeform lens; (b) experimental setup; (c) experimental result

Fig. 10. Example of beam shaping with simultaneous control of light intensity and wavefront of point light source. (a) Target illuminance distribution; (b) system structure; (c) freeform lens model; (d) entrance surface profile; (e) exit surface profile; (f) Gaussian curvature of entrance surface; (g) Gaussian curvature of exit surface; (h) optical path difference distribution on target surface; (i) irradiance distribution on target surface