The disclosure relates generally to methods and apparatus for using a fiber array spectral translator-based (“FAST”) spectroscopic system for performing spectral unmixing of a mixture containing multiple polymorphs. In an embodiment, a first spectrum of a mixture containing polymorphs of a compound is obtained using a photon detector and a fiber array spectral translator having plural fibers. A set of second spectra is provided where each spectrum of the set of second spectra may be representative of a different polymorph of the compound. The first spectrum and the set of second spectra may be compared, and based on the comparison, the presence of one or more polymorphs in the mixture may be determined.