Linear theory and adiabatic wave amplitude variation in the converging guide accelerator

A linear numerical analysis of the converging guide accelerator incorporating a radially inhomogeneous beam equilibrium and finite axial magnetic field is conducted. It is shown that these characteristics cannot explain the latest experimental results involving large amplitude waves. The slow phase velocity of these waves rely on nonlinear effects. A study of the adiabatic variation of wave amplitude in the accelerator indicates the importance of using high frequency waves for efficient operation.