HAMILTONIAN CALCULATIONS ON PARTICLE MOTION IN LINEAR ELECTRON ACCELERATORS

A Hamiltonian theory, in which electromagnetic space waves and longitudinal electric fields are incorporated by means of their vector potentials, is used to calculate particle motion in linear electron accelerators. In particular these calculations have been applied to the Eindhoven 10 MeV travelling-wave linac as well as to the Eindhoven racetrack microtron accelerating cavity. The calculations are in good agreement with simulations performed by particle-tracking codes.