Studies on the particle dynamics in high-frequency quadrupole accelerators

In the present thesis the particle dynamics in rf quadrupole accelerators (RFQ) was studied. First the analytic theory of the particle motion is presented which results directly from the equations of motion. From this follow especially equations for the maximally transportable current strength in a RFQ accelerator. Because this theory however is at higher phase shift no longer correct and can in this case only serve as approximational method and because also the anharmonic longitudinal motion was linearized it was necessary to study the particle dynamics by means of numerical solution of the equations of motion, by the PARMTEQ program the equations of motion were directly integrated whereby the space-charge effect can be included. The comparison of the simulation calcualtion with the analytic theory and the test of both in the experiment was at first performed for the proton model of a heavy ion RFQ. An essential object of the study was hereby the influence of the higher harmonics of the field distribution on the particle dynamics which were at the proton model especially high because of a low transverse phase shift. (orig./HSI)