A method and apparatus for determining parameters of a medium, preferably a highly scattering medium such as living tissue. At least two spaced light sources provide light through the tissue or other medium to at least two spaced detectors, with the spacing between the light sources and the detectors being constrained to certain dimensions. The combined data received by such detectors can provide data that is substantially independent of the intensity of the light sources, the sensitivity of the detectors, the coupling efficiency of light from the light sources into the medium, and the coupling efficiency of light from the medium to the detectors. The light from the two sources is of substantially identical wavelength.