Design of reflective surface focusing light flux into an arbitrary curve

A numerical-analytical approach is proposed for designing reflective surface producing prescribed irradiance distribution on the curve with specified shape. Method consists of two steps: computation of eikonal function on curve and reconstruction of the reflective surface using precomputed eikonal function. Reflective surface generating spiral line and module of backlight system for displays are designed. The simulation results demonstrate high-quality of the proposed method: light efficiency of backlight system is 86.5 % and uniformity of illuminance distribution is 93 %.