Capture efficiency of a constant gradient electron synchrotron

The problem of high-energy multi-turn injection into a constant gradient electron synchrotron from a linear accelerator has been studied. The injected beam is characterized by a constant current with a well defined duration, a uniform energy distribution, and unspecified distributions in vertical and radial phase space. Calculations yielding the optimum synchrotron parameters and surfaces of capture efficiency over the radial phase space have been made assuming an idealized synchrotron with the design parameters of the Caltech machine. On the basis of these calculations and the parameters of a commercially available linac, an upper limit of 10^(12) captured electrons for 10 Mev injection and half that at 5 Mev can be set.