Accelerating system of isochronous cyclotron with a non-sinusoidal electric field

A non‐sinusoidal accelerating voltage was considered which may be formed with a dee system consisting of two dees. The fundamental harmonic voltage is applied to the first dee and the third harmonic is fed to the other dee.It has been found by the study of the ion motion in the cyclotron median plane that there exists a correlation between the growth of radial oscillation amplitude and the azimuthal distribution of accelerating gaps.A criterion has been formulated for eliminating the growth of amplitude of radial oscillations due to electric field.