Spectroscopic analysis systems and methods for analyzing samples are disclosed which exploit inelastically scattering radiation to amplify optical signals from an irradiated sample. Samples are irradiated in a chamber having a resonant cavity containing a plurality of affixed reflectors, where selective Stokes scattered radiation is transmitted to a detector for determination of sample identity. Coupling the spectroscopic analysis system and method with a nucleic acid sequencing system is also disclosed for determining nucleic acid sequences.