US Patent 7273299 Cylindrical irradiance-mapping lens and its applications to LED shelf-lighting

A cylindrical irradiance-redistribution lens is positioned over a line of LEDs, and is shaped to redistribute their light for uniformly illuminating a nearby planar target, such as shelves, signs, or walls. The lens shape is calculated via matching the cumulative lateral flux functions of the line of LEDs with that of the uniformly illuminated planar target. Numerous preferred embodiments are disclosed for a variety of illumination geometries.