Beam transport in the crystal x-ray accelerator

A Fokker-Planck model of charged particle transport in crystal channels which includes the effect of strong accelerating gradients has been developed for application to the crystal x-ray accelerator and other crystal accelerator schemes. We indicate the implications of the analytic solutions found for a harmonic channeling potential for the accelerating gradient and the multiple scattering which, because we consider only the acceleration of positive particles, is dominated by scattering from the valence electrons. In order to relax the constraints imposed by these, we have been exploring the application of novel materials to this problem. One candidate is porous Si and our investigation into this material which is as yet preliminary is discussed and other possible materials are indicated