The invention comprises a charged particle beam extraction method and apparatus used in conjunction with charged particle beam radiation therapy of cancerous tumors. The system uses a radio-frequency (RF) cavity system to induce betatron oscillation of a charged particle stream. Sufficient amplitude modulation of the charged particle stream causes the charged particle stream to hit a material, such as a foil. The foil decreases the energy of the charged particle stream, which decreases a radius of curvature of the charged particle stream in the synchrotron sufficiently to allow a physical separation of the reduced energy charged particle stream from the original charged particle stream. The physically separated charged particle stream is then removed from the system by use of an applied field and deflector.