Methods and devices are disclosed which apply an excitation-emission matrix (EEM) to a heterogeneous, two-dimensional sample, allowing a considerably larger number of emitting, e.g. fluorescent, labels to be used simultaneously. This may be accomplished by employing a spectroscopic method of excitation-emission matrices which allows discrimination of species with similar emission spectra, and also allows positive identification of energy transfer between emitting species. The methods and devices may employ a novel excitation-light scanning technique which allows imaging of the emission from the heterogeneous sample both in two spatial dimensions (length and width) and in two spectral dimensions (excitation and emission wavelength). This light scanning technique maximizes the throughput of excitation light, increasing the sensitivity and hence the reading speed of the instrument.