Study of two-dimensional non-linear oscillations by means of an electromechanical analogue model, applied to particle motion in circular accelerators

摘要

For the study of non-linear effects on betatron oscillations in circular accelerators, carried out in connection with the design of the CERN alternating gradient proton synchrotron, it was found desirable to have an analogue model simulating these oscillations. Firstly, all analytical me¬thods in use are only approximations whose reliability requires checking. For this an analogue model seemed advantageous as the problems involved are quite formidable and expensive for digital computers.