Cerenkov Radiation: Time Dependent B Field over a Finite Path

摘要

This preliminary study investigated the magnetic field radiated from a passing charge bunch traveling over a finite path. Beginning with the infinite path case for a ramp front charge distribution, limits were derived to solve for the magnetic radiation field over a finite path. Radiation pulses were computed and graphed for many different positions of an observer with respect to the beam line. Comparisons of results show that the similarity in pulse shapes does not depend exclusively on the observer's position with respect to the Cerenkov region, but also on certain time conditions in each case.