Disclosed examples of optical systems having a plurality of light sources with each source having a different spectral outputs may be calibrated by measuring a spectral characteristic of the combined light with two measurements, e.g., one from a colorimeter and one from a sensor included in the system. Accordingly, one can determine a transform function in response to the two measures that models a feedback response of the optical system for each of a plurality of the inputs that would cause the optical system to generate radiant energy within a predetermined range of a spectrum. In order to calibrate the optical system, the transform function is programmed in the optical system to enable the optical system to transform an input to the optical system to a plurality of unique control signals each for controlling a respective light source of the plurality of light sources.