Regenerative action in high energy accelerators

It is shown that the regenerative method for the extraction of particles from an accelerator can be extended to include machines other than cyclotrons. This is accomplished by the use of modes of radial oscillations in which the regenerative action does not occur on every revolution of the particle about the machine. In particular, that mode of oscillation which allows regenerative action on every other turn is analyzed and shown to permit extraction from circular machines whose values of n n=−RHdHdr lie near 0.75. An extension of the analysis to machines with straight sections and strong focussing machines is included