Rapid Placement of a Synchrotron Beam on an Internal Target

Two methods of placing high-energy electrons in a synchrotron on an internal target within one microsecond are proposed. One method uses the forced radial oscillations that occur at n = 0.75 in the presence of a first harmonic azimuthal variation in the magnetic field which gives rise to a Mathieu Equation. The effect of the first harmonic in general and at n = 0.75 is examined. The requirements for changing the radial field gradient to n = 0.75 are determined. An operating cycle is suggested. The second method proposes the application of a radiofrequency electric field resonant with the radial oscillation thus producing blowup in an unmodified magnetic field. The axial and radial oscillation frequencies are not commensurable, thus resonance blowup is avoided in the axial direction. The conditions to accomplish these are determined in general and specifically for the Berkeley synchrotron.