Linear Beam Dynamics

Abstract

The general equations of motion, characterized by an abundance of perturbation terms on the right-hand side of, for example, (4.86,88) have been derived in the previous chapter. If these perturbation terms were allowed to become significant in real beam transport systems, we would face almost insurmountable mathematical problems trying to describe the motion of charged particles in a general way. For practical mathematical reasons it is therefore important to design components for particle beam transport systems such that undesired terms appear only as small perturbations of the general motion of particles. With a careful design of beam guidance magnets and accurate alignment of these magnets we can indeed achieve this goal.