ABSTRACT

Now that we understand how to accelerate particles in an accelerator and how to produce the magnetic fields that steer, focus and manipulate the bunches, we can turn our attention to the dynamics of the transverse motion. We shall learn what these cavities and magnets do to a charged particle beam and how we can design magnet layouts to achieve the goals of our machine. We'll look at the basic equations governing the motion of charged particles in an EM field and the consequences for accelerator builders. In this chapter we shall focus on single particle motion, so the interaction between particles (collective effects) is considered in Chapter 7.