1 paper

title:	RF Voltage Modulation at Discrete Frequencies, for Application to Proton Extraction Using Crysal Channeling
format:	conference procceeding
conference:	1993 Particle Accelerator Conference
year:	1993
4 authors:	Gabella, W. | J. B. Rosenzweig | Kick, R. | Peggs, S.
abstract:	RF voltage modulation at a finite number of discrete frequencies is described in a Hamiltonian framework. The theory is applied to the problem of parasitic extraction of protons from a circulating beam in a high energy hadron collider, using a bent crystal as a thin ?septum? extraction element. Three modes of employing discrete resonances are discussed: a strong, single drive resonance which may be used to excite protons to hit, deep within the crystal; a single resonance ramped in such a manner that the island can carry trapped particles from low to high amplitudes; and overlapping resonances to create a chaotic band for separating the moving island and the large amplitude island. Simulations are used to confirm the expected dynamics, and finally a prototypical extraction scheme is described.
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