A method for treating a substance using an apparatus having: (a) a volute or cyclone head, (b) a throat connected to the volute or cyclone head, (c) a parabolic reflector connected to the throat, (d) a first wave energy source comprising a first electrode within the volute or cyclone head that extends through the outlet into the first opening of the throat along the central axis of the throat, and a second electrode extending into the parabolic reflector proximate to the focus wherein the second electrode is spaced apart and axially aligned with first electrode, and (e) a second wave energy source disposed inside the throat, embedded within the throat or disposed around the throat. The substance is supplied to the inlet of the volute or cyclone head and is irradiated with one or more wave energies produced by the first and second wave energy sources.