Effect of Environment on Electromagnetic Field of a Beam
In the previous chapter we calculated the electromagnetic field of a beam moving with constant velocity in free space. In reality, beams propagate inside a vacuum chamber, and one has to take into account the effect of the material walls of the chamber on the field. In this chapter, we study several important effects that characterize the interaction with metal walls. First, we discuss the skin effect that defines the penetration of the electromagnetic field into the metal. We then discuss an approximation that treats the wall as a perfectly conducting medium. Finally, we calculate the longitudinal field inside a round metal pipe excited by a relativistic point charge.