A light-emitting system for emitting light, comprising: (a) at least one light-emitting diode (LED) configured to emit LED light; (b) at least one optical element optically coupled to said at least one LED and configured to direct a first fraction of said LED light along a first optical path and a second fraction of said LED light along a second optical path; and (c) a color modification element disposed along said second optical path and configured to modify the spectrum of said second fraction of said LED light to emit modified light.