In one aspect, a light-mixing system is disclosed, which includes a light pipe having an input surface configured for receiving light from a light source, a light-mixing segment optically coupled to the input surface, and an output surface optically coupled to said light-mixing segment through which light exits the light pipe. A putative vector normal to at least one of the input or the output surface forms a non-zero angle relative to a longitudinal axis of the light-mixing segment. In some embodiments, the non-zero angle can be, for example, about 90 degrees.