Method and system for stable dynamics and constant beam delivery for acceleration of charged particle beams in a non-scaling fixed field alternating gradient magnetic field accelerator

A method for controlling and accelerating a continuous particle beam in a non-scaling fixed field alternating gradient particle accelerator comprising:

• providing a plurality of cells, each cell including a focus magnet and a defocus magnet each configured to create a magnetic field so as to confine and accelerate the particle beam, the focus magnet being configured to focus the particle beam in a horizontal direction and defocus the particle beam in a vertical direction, and the defocus magnet being configured to focus the particle beam in a vertical direction and defocus the particle beam in a horizontal direction;
• specifying magnet parameters and accelerator system parameters such that a stable machine tune is obtained for each cell;
• and
• constraining a path length of the accelerator system according to an isochronous condition.