Theory of the anisotropic ferrite wake-field accelerator. II. Higher-order modes

The theory of the anisotropic ferrite wake-field accelerator is solved for the case of any general angular mode m. The ferrite is driven into saturation by a static magnetic field, resulting in the permeability tensor having off-diagonal elements. Expressions for the radial and angular transverse forces are obtained. Finally, we give numerical examples showing that the transverse forces in the anisotropic ferrite wake-field accelerator are reduced as the static saturated magnetization is increased.