A Hamiltonian-theoretic analysis of emittance growth during high current electron beam transport, coupled with an envelope equation analysis of the induced transverse beam oscillations, may be applied to develop scaling laws for the emittance growth suffered during such events as beam acceleration, propagation past irises or constrictions in the waveguide wall, beam aperturing, and axial variation in the magnetic guide field strength. Criteria may be developed for preventing excessive emittance growth by avoiding abrupt axial variations and providing sufficiently strong focusing forces. Designed variations in the waveguide wall shape and in the strength of the magnetic guide field may be introduced to greatly reduce emittance growth during events such as beam acceleration.
J R Thompson,
M L Sloan,
B N Moore,
J R Uglum,
"Beam Handling And Emittance Control", Proc. SPIE 0873, Microwave and Particle Beam Sources and Propagation, (9 May 1988); doi: 10.1117/12.965096; https://doi.org/10.1117/12.965096