An improved illuminator for generating broadband light, and for delivering the light to a sample with an improved delivery efficiency, for higher optical density and/or reduced thermal transfer, than achieved with conventional halogen bulb sources. The illuminator enables spectroscopic analysis in thermally-sensitive or spatially-constrained environments. A phosphor-coated broadband white LED and integrated collimating optics produces a continuous, collimated broadband light beam from 400 nm to 700 nm, which is then transmitted through space to a sample region, such as a living tissue in vivo. A method and system for measuring oxigeneration of mucosal or subsurface tissue is also described.