A hollow sphere with a scattering (e.g., white diffusive) interior surface directs light input from at least one input light source to an exit. In one embodiment, an internal hot mirror and phosphor are positioned to intercept the input light on which visible light is reflected and ultraviolet light is directed to the phosphor for conversion to visible light. The exit has a reflective polarizer that passes light of a selected polarization to an output. Light of other polarization(s) is reflected back into the sphere where it becomes unpolarized because of reflections and may eventually be returned to the exit at the selected polarization.