The present invention provides methods for decomposing and extracting compositions for the recovery of petroleum-based materials from composites comprising those petroleum-based materials, comprising subjecting the compositions and/or composites to microwave radiation, wherein the microwave radiation is in the range of from about 4 GHz to about 18 GHz. The present invention also provides for products produced by the methods of the present invention and for apparatuses used to perform the methods of the present invention.